1544000947.165 * [misc]progress: [Phase 1 of 3] Setting up. 1544000947.165 * * * [misc]progress: [1/2] Preparing points 1544000947.165 * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 1544000947.167 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision 1544000947.172 * * * * [misc]points: Setting MPFR precision to 64 1544000947.173 * * * * [misc]points: Setting MPFR precision to 320 1544000947.174 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision 1544000947.180 * * * * [misc]points: Setting MPFR precision to 64 1544000947.182 * * * * [misc]points: Setting MPFR precision to 320 1544000947.184 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision 1544000947.189 * * * * [misc]points: Setting MPFR precision to 64 1544000947.190 * * * * [misc]points: Setting MPFR precision to 320 1544000947.192 * * * * [misc]points: Setting MPFR precision to 576 1544000947.194 * * * * [misc]points: Setting MPFR precision to 832 1544000947.196 * * * * [misc]points: Setting MPFR precision to 1088 1544000947.198 * * * * [misc]points: Setting MPFR precision to 1344 1544000947.200 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision 1544000947.209 * * * * [misc]points: Setting MPFR precision to 1088 1544000947.212 * * * * [misc]points: Setting MPFR precision to 1344 1544000947.216 * * * * [misc]points: Computing exacts for 256 points 1544000947.234 * * * * [misc]points: Setting MPFR precision to 1088 1544000947.245 * * * * [misc]points: Setting MPFR precision to 1344 1544000947.259 * * * * [misc]points: Filtering points with unrepresentable outputs 1544000947.259 * * * * [misc]points: Sampling 198 additional inputs, on iter 1 have 58 / 256 1544000947.261 * * * * [misc]points: Computing exacts on every 12 of 198 points to ramp up precision 1544000947.278 * * * * [misc]points: Setting MPFR precision to 1088 1544000947.280 * * * * [misc]points: Setting MPFR precision to 1344 1544000947.281 * * * * [misc]points: Computing exacts on every 6 of 198 points to ramp up precision 1544000947.311 * * * * [misc]points: Setting MPFR precision to 1088 1544000947.313 * * * * [misc]points: Setting MPFR precision to 1344 1544000947.317 * * * * [misc]points: Computing exacts on every 3 of 198 points to ramp up precision 1544000947.335 * * * * [misc]points: Setting MPFR precision to 1088 1544000947.337 * * * * [misc]points: Setting MPFR precision to 1344 1544000947.339 * * * * [misc]points: Computing exacts for 198 points 1544000947.348 * * * * [misc]points: Setting MPFR precision to 1088 1544000947.356 * * * * [misc]points: Setting MPFR precision to 1344 1544000947.365 * * * * [misc]points: Filtering points with unrepresentable outputs 1544000947.365 * * * * [misc]points: Sampling 147 additional inputs, on iter 2 have 109 / 256 1544000947.366 * * * * [misc]points: Computing exacts on every 9 of 147 points to ramp up precision 1544000947.396 * * * * [misc]points: Setting MPFR precision to 1088 1544000947.398 * * * * [misc]points: Setting MPFR precision to 1344 1544000947.399 * * * * [misc]points: Computing exacts on every 4 of 147 points to ramp up precision 1544000947.416 * * * * [misc]points: Setting MPFR precision to 1088 1544000947.419 * * * * [misc]points: Setting MPFR precision to 1344 1544000947.422 * * * * [misc]points: Computing exacts on every 2 of 147 points to ramp up precision 1544000947.439 * * * * [misc]points: Setting MPFR precision to 1088 1544000947.444 * * * * [misc]points: Setting MPFR precision to 1344 1544000947.449 * * * * [misc]points: Computing exacts for 147 points 1544000947.474 * * * * [misc]points: Setting MPFR precision to 1088 1544000947.486 * * * * [misc]points: Setting MPFR precision to 1344 1544000947.499 * * * * [misc]points: Filtering points with unrepresentable outputs 1544000947.499 * * * * [misc]points: Sampling 119 additional inputs, on iter 3 have 137 / 256 1544000947.500 * * * * [misc]points: Computing exacts on every 7 of 119 points to ramp up precision 1544000947.518 * * * * [misc]points: Setting MPFR precision to 1088 1544000947.519 * * * * [misc]points: Setting MPFR precision to 1344 1544000947.520 * * * * [misc]points: Computing exacts on every 3 of 119 points to ramp up precision 1544000947.547 * * * * [misc]points: Setting MPFR precision to 1088 1544000947.549 * * * * [misc]points: Setting MPFR precision to 1344 1544000947.550 * * * * [misc]points: Computing exacts for 119 points 1544000947.559 * * * * [misc]points: Setting MPFR precision to 1088 1544000947.564 * * * * [misc]points: Setting MPFR precision to 1344 1544000947.569 * * * * [misc]points: Filtering points with unrepresentable outputs 1544000947.569 * * * * [misc]points: Sampling 92 additional inputs, on iter 4 have 164 / 256 1544000947.570 * * * * [misc]points: Computing exacts on every 5 of 92 points to ramp up precision 1544000947.581 * * * * [misc]points: Setting MPFR precision to 1088 1544000947.582 * * * * [misc]points: Setting MPFR precision to 1344 1544000947.584 * * * * [misc]points: Computing exacts on every 2 of 92 points to ramp up precision 1544000947.611 * * * * [misc]points: Setting MPFR precision to 1088 1544000947.612 * * * * [misc]points: Setting MPFR precision to 1344 1544000947.614 * * * * [misc]points: Computing exacts for 92 points 1544000947.622 * * * * [misc]points: Setting MPFR precision to 1088 1544000947.626 * * * * [misc]points: Setting MPFR precision to 1344 1544000947.630 * * * * [misc]points: Filtering points with unrepresentable outputs 1544000947.630 * * * * [misc]points: Sampling 77 additional inputs, on iter 5 have 179 / 256 1544000947.630 * * * * [misc]points: Computing exacts on every 4 of 77 points to ramp up precision 1544000947.639 * * * * [misc]points: Setting MPFR precision to 1088 1544000947.640 * * * * [misc]points: Setting MPFR precision to 1344 1544000947.642 * * * * [misc]points: Computing exacts on every 2 of 77 points to ramp up precision 1544000947.667 * * * * [misc]points: Setting MPFR precision to 1088 1544000947.669 * * * * [misc]points: Setting MPFR precision to 1344 1544000947.672 * * * * [misc]points: Computing exacts for 77 points 1544000947.690 * * * * [misc]points: Setting MPFR precision to 1088 1544000947.697 * * * * [misc]points: Setting MPFR precision to 1344 1544000947.705 * * * * [misc]points: Filtering points with unrepresentable outputs 1544000947.705 * * * * [misc]points: Sampling 56 additional inputs, on iter 6 have 200 / 256 1544000947.705 * * * * [misc]points: Computing exacts on every 3 of 56 points to ramp up precision 1544000947.722 * * * * [misc]points: Setting MPFR precision to 1088 1544000947.731 * * * * [misc]points: Setting MPFR precision to 1344 1544000947.733 * * * * [misc]points: Computing exacts for 56 points 1544000947.751 * * * * [misc]points: Setting MPFR precision to 1088 1544000947.756 * * * * [misc]points: Setting MPFR precision to 1344 1544000947.761 * * * * [misc]points: Filtering points with unrepresentable outputs 1544000947.761 * * * * [misc]points: Sampling 42 additional inputs, on iter 7 have 214 / 256 1544000947.762 * * * * [misc]points: Computing exacts on every 2 of 42 points to ramp up precision 1544000947.779 * * * * [misc]points: Setting MPFR precision to 1088 1544000947.781 * * * * [misc]points: Setting MPFR precision to 1344 1544000947.783 * * * * [misc]points: Computing exacts for 42 points 1544000947.805 * * * * [misc]points: Setting MPFR precision to 1088 1544000947.809 * * * * [misc]points: Setting MPFR precision to 1344 1544000947.813 * * * * [misc]points: Filtering points with unrepresentable outputs 1544000947.813 * * * * [misc]points: Sampling 34 additional inputs, on iter 8 have 222 / 256 1544000947.814 * * * * [misc]points: Computing exacts on every 2 of 34 points to ramp up precision 1544000947.831 * * * * [misc]points: Setting MPFR precision to 1088 1544000947.832 * * * * [misc]points: Setting MPFR precision to 1344 1544000947.833 * * * * [misc]points: Computing exacts for 34 points 1544000947.841 * * * * [misc]points: Setting MPFR precision to 1088 1544000947.843 * * * * [misc]points: Setting MPFR precision to 1344 1544000947.845 * * * * [misc]points: Filtering points with unrepresentable outputs 1544000947.845 * * * * [misc]points: Sampling 26 additional inputs, on iter 9 have 230 / 256 1544000947.845 * * * * [misc]points: Computing exacts for 26 points 1544000947.858 * * * * [misc]points: Setting MPFR precision to 1088 1544000947.859 * * * * [misc]points: Setting MPFR precision to 1344 1544000947.860 * * * * [misc]points: Filtering points with unrepresentable outputs 1544000947.861 * * * * [misc]points: Sampling 18 additional inputs, on iter 10 have 238 / 256 1544000947.861 * * * * [misc]points: Computing exacts for 18 points 1544000947.869 * * * * [misc]points: Setting MPFR precision to 1088 1544000947.870 * * * * [misc]points: Setting MPFR precision to 1344 1544000947.870 * * * * [misc]points: Filtering points with unrepresentable outputs 1544000947.870 * * * * [misc]points: Sampling 15 additional inputs, on iter 11 have 241 / 256 1544000947.870 * * * * [misc]points: Computing exacts for 15 points 1544000947.879 * * * * [misc]points: Setting MPFR precision to 1088 1544000947.879 * * * * [misc]points: Setting MPFR precision to 1344 1544000947.880 * * * * [misc]points: Filtering points with unrepresentable outputs 1544000947.880 * * * * [misc]points: Sampling 13 additional inputs, on iter 12 have 243 / 256 1544000947.880 * * * * [misc]points: Computing exacts for 13 points 1544000947.891 * * * * [misc]points: Setting MPFR precision to 1088 1544000947.892 * * * * [misc]points: Setting MPFR precision to 1344 1544000947.892 * * * * [misc]points: Filtering points with unrepresentable outputs 1544000947.892 * * * * [misc]points: Sampling 10 additional inputs, on iter 13 have 246 / 256 1544000947.893 * * * * [misc]points: Computing exacts for 10 points 1544000947.901 * * * * [misc]points: Setting MPFR precision to 1088 1544000947.902 * * * * [misc]points: Setting MPFR precision to 1344 1544000947.902 * * * * [misc]points: Filtering points with unrepresentable outputs 1544000947.902 * * * * [misc]points: Sampling 9 additional inputs, on iter 14 have 247 / 256 1544000947.902 * * * * [misc]points: Computing exacts for 9 points 1544000947.911 * * * * [misc]points: Setting MPFR precision to 1088 1544000947.912 * * * * [misc]points: Setting MPFR precision to 1344 1544000947.912 * * * * [misc]points: Filtering points with unrepresentable outputs 1544000947.912 * * * * [misc]points: Sampling 6 additional inputs, on iter 15 have 250 / 256 1544000947.912 * * * * [misc]points: Computing exacts for 6 points 1544000947.931 * * * * [misc]points: Setting MPFR precision to 1088 1544000947.931 * * * * [misc]points: Setting MPFR precision to 1344 1544000947.931 * * * * [misc]points: Filtering points with unrepresentable outputs 1544000947.932 * * * * [misc]points: Sampling 5 additional inputs, on iter 16 have 251 / 256 1544000947.932 * * * * [misc]points: Computing exacts for 5 points 1544000947.949 * * * * [misc]points: Setting MPFR precision to 1088 1544000947.950 * * * * [misc]points: Setting MPFR precision to 1344 1544000947.950 * * * * [misc]points: Filtering points with unrepresentable outputs 1544000947.950 * * * * [misc]points: Sampling 4 additional inputs, on iter 17 have 252 / 256 1544000947.950 * * * * [misc]points: Computing exacts for 4 points 1544000947.968 * * * * [misc]points: Setting MPFR precision to 1088 1544000947.968 * * * * [misc]points: Setting MPFR precision to 1344 1544000947.969 * * * * [misc]points: Filtering points with unrepresentable outputs 1544000947.969 * * * * [misc]points: Sampling 4 additional inputs, on iter 18 have 252 / 256 1544000947.969 * * * * [misc]points: Computing exacts for 4 points 1544000947.985 * * * * [misc]points: Setting MPFR precision to 1088 1544000947.985 * * * * [misc]points: Setting MPFR precision to 1344 1544000947.985 * * * * [misc]points: Filtering points with unrepresentable outputs 1544000947.985 * * * * [misc]points: Sampling 4 additional inputs, on iter 19 have 252 / 256 1544000947.985 * * * * [misc]points: Computing exacts for 4 points 1544000947.994 * * * * [misc]points: Setting MPFR precision to 1088 1544000947.994 * * * * [misc]points: Setting MPFR precision to 1344 1544000947.994 * * * * [misc]points: Filtering points with unrepresentable outputs 1544000947.994 * * * * [misc]points: Sampling 4 additional inputs, on iter 20 have 253 / 256 1544000947.994 * * * * [misc]points: Computing exacts for 4 points 1544000948.003 * * * * [misc]points: Setting MPFR precision to 1088 1544000948.003 * * * * [misc]points: Setting MPFR precision to 1344 1544000948.004 * * * * [misc]points: Filtering points with unrepresentable outputs 1544000948.004 * * * * [misc]points: Sampling 4 additional inputs, on iter 21 have 254 / 256 1544000948.004 * * * * [misc]points: Computing exacts for 4 points 1544000948.015 * * * * [misc]points: Setting MPFR precision to 1088 1544000948.015 * * * * [misc]points: Setting MPFR precision to 1344 1544000948.015 * * * * [misc]points: Filtering points with unrepresentable outputs 1544000948.015 * * * * [misc]points: Sampling 4 additional inputs, on iter 22 have 254 / 256 1544000948.015 * * * * [misc]points: Computing exacts for 4 points 1544000948.024 * * * * [misc]points: Setting MPFR precision to 1088 1544000948.024 * * * * [misc]points: Setting MPFR precision to 1344 1544000948.025 * * * * [misc]points: Filtering points with unrepresentable outputs 1544000948.025 * * * * [exit]points: Sampled 256 points with exact outputs 1544000948.025 * * * [misc]progress: [2/2] Setting up program. 1544000948.029 * [misc]progress: [Phase 2 of 3] Improving. 1544000948.029 * [enter]simplify: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1544000948.029 * * [misc]simplify: iters left: 6 (13 enodes) 1544000948.034 * * [misc]simplify: iters left: 5 (28 enodes) 1544000948.042 * * [misc]simplify: iters left: 4 (44 enodes) 1544000948.054 * * [misc]simplify: iters left: 3 (54 enodes) 1544000948.065 * * [misc]simplify: iters left: 2 (57 enodes) 1544000948.077 * * [misc]simplify: iters left: 1 (65 enodes) 1544000948.088 * [exit]simplify: Simplified to (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1544000948.096 * * [misc]progress: iteration 1 / 4 1544000948.096 * * * [misc]progress: picking best candidate 1544000948.102 * * * * [misc]pick: Picked # 1544000948.102 * * * [misc]progress: localizing error 1544000948.150 * * * [misc]progress: generating rewritten candidates 1544000948.151 * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1 1) 1544000948.155 * * * * [misc]progress: [ 2 / 3 ] rewriting at (2) 1544000948.169 * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 1) 1544000948.177 * * * [misc]progress: generating series expansions 1544000948.178 * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1 1) 1544000948.178 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1544000948.178 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1544000948.178 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544000948.178 * [misc]taylor: Taking taylor expansion of 2 in n 1544000948.178 * [misc]backup-simplify: Simplify 2 into 2 1544000948.178 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544000948.178 * [misc]taylor: Taking taylor expansion of n in n 1544000948.178 * [misc]backup-simplify: Simplify 0 into 0 1544000948.178 * [misc]backup-simplify: Simplify 1 into 1 1544000948.178 * [misc]taylor: Taking taylor expansion of PI in n 1544000948.178 * [misc]backup-simplify: Simplify PI into PI 1544000948.178 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544000948.178 * [misc]taylor: Taking taylor expansion of 2 in n 1544000948.178 * [misc]backup-simplify: Simplify 2 into 2 1544000948.178 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544000948.178 * [misc]taylor: Taking taylor expansion of n in n 1544000948.178 * [misc]backup-simplify: Simplify 0 into 0 1544000948.178 * [misc]backup-simplify: Simplify 1 into 1 1544000948.178 * [misc]taylor: Taking taylor expansion of PI in n 1544000948.178 * [misc]backup-simplify: Simplify PI into PI 1544000948.179 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544000948.179 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544000948.179 * [misc]backup-simplify: Simplify 0 into 0 1544000948.180 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544000948.180 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544000948.181 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544000948.182 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544000948.183 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1544000948.183 * [misc]backup-simplify: Simplify 0 into 0 1544000948.184 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1544000948.186 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1544000948.186 * [misc]backup-simplify: Simplify 0 into 0 1544000948.188 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544000948.190 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1544000948.190 * [misc]backup-simplify: Simplify 0 into 0 1544000948.193 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544000948.195 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1544000948.195 * [misc]backup-simplify: Simplify 0 into 0 1544000948.199 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544000948.202 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1544000948.202 * [misc]backup-simplify: Simplify 0 into 0 1544000948.206 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1544000948.210 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1544000948.210 * [misc]backup-simplify: Simplify 0 into 0 1544000948.210 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1544000948.210 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1544000948.211 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1544000948.211 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544000948.211 * [misc]taylor: Taking taylor expansion of 2 in n 1544000948.211 * [misc]backup-simplify: Simplify 2 into 2 1544000948.211 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544000948.211 * [misc]taylor: Taking taylor expansion of PI in n 1544000948.211 * [misc]backup-simplify: Simplify PI into PI 1544000948.211 * [misc]taylor: Taking taylor expansion of n in n 1544000948.211 * [misc]backup-simplify: Simplify 0 into 0 1544000948.211 * [misc]backup-simplify: Simplify 1 into 1 1544000948.211 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544000948.211 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544000948.211 * [misc]taylor: Taking taylor expansion of 2 in n 1544000948.211 * [misc]backup-simplify: Simplify 2 into 2 1544000948.211 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544000948.211 * [misc]taylor: Taking taylor expansion of PI in n 1544000948.211 * [misc]backup-simplify: Simplify PI into PI 1544000948.211 * [misc]taylor: Taking taylor expansion of n in n 1544000948.211 * [misc]backup-simplify: Simplify 0 into 0 1544000948.211 * [misc]backup-simplify: Simplify 1 into 1 1544000948.212 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544000948.212 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544000948.212 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544000948.213 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544000948.214 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544000948.214 * [misc]backup-simplify: Simplify 0 into 0 1544000948.215 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000948.216 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544000948.216 * [misc]backup-simplify: Simplify 0 into 0 1544000948.218 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000948.219 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544000948.219 * [misc]backup-simplify: Simplify 0 into 0 1544000948.221 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000948.223 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544000948.223 * [misc]backup-simplify: Simplify 0 into 0 1544000948.225 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000948.228 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544000948.228 * [misc]backup-simplify: Simplify 0 into 0 1544000948.230 * [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 1544000948.239 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544000948.239 * [misc]backup-simplify: Simplify 0 into 0 1544000948.239 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1544000948.240 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1544000948.240 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1544000948.240 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544000948.240 * [misc]taylor: Taking taylor expansion of -2 in n 1544000948.240 * [misc]backup-simplify: Simplify -2 into -2 1544000948.240 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544000948.240 * [misc]taylor: Taking taylor expansion of PI in n 1544000948.240 * [misc]backup-simplify: Simplify PI into PI 1544000948.240 * [misc]taylor: Taking taylor expansion of n in n 1544000948.240 * [misc]backup-simplify: Simplify 0 into 0 1544000948.240 * [misc]backup-simplify: Simplify 1 into 1 1544000948.240 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544000948.240 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544000948.240 * [misc]taylor: Taking taylor expansion of -2 in n 1544000948.240 * [misc]backup-simplify: Simplify -2 into -2 1544000948.240 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544000948.240 * [misc]taylor: Taking taylor expansion of PI in n 1544000948.240 * [misc]backup-simplify: Simplify PI into PI 1544000948.240 * [misc]taylor: Taking taylor expansion of n in n 1544000948.240 * [misc]backup-simplify: Simplify 0 into 0 1544000948.240 * [misc]backup-simplify: Simplify 1 into 1 1544000948.241 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544000948.241 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544000948.241 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544000948.242 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544000948.243 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1544000948.243 * [misc]backup-simplify: Simplify 0 into 0 1544000948.244 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000948.245 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1544000948.245 * [misc]backup-simplify: Simplify 0 into 0 1544000948.247 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000948.248 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544000948.248 * [misc]backup-simplify: Simplify 0 into 0 1544000948.250 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000948.252 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544000948.252 * [misc]backup-simplify: Simplify 0 into 0 1544000948.254 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000948.256 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544000948.256 * [misc]backup-simplify: Simplify 0 into 0 1544000948.258 * [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 1544000948.259 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544000948.259 * [misc]backup-simplify: Simplify 0 into 0 1544000948.260 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1544000948.260 * * * * [misc]progress: [ 2 / 3 ] generating series at (2) 1544000948.260 * [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)))) 1544000948.260 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0 1544000948.260 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1544000948.260 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1544000948.260 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544000948.260 * [misc]taylor: Taking taylor expansion of k in k 1544000948.260 * [misc]backup-simplify: Simplify 0 into 0 1544000948.260 * [misc]backup-simplify: Simplify 1 into 1 1544000948.260 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544000948.260 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544000948.261 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544000948.261 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1544000948.261 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1544000948.261 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1544000948.261 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544000948.261 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544000948.261 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000948.261 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544000948.261 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544000948.261 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000948.261 * [misc]taylor: Taking taylor expansion of k in k 1544000948.261 * [misc]backup-simplify: Simplify 0 into 0 1544000948.261 * [misc]backup-simplify: Simplify 1 into 1 1544000948.261 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1544000948.261 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1544000948.261 * [misc]taylor: Taking taylor expansion of 2 in k 1544000948.261 * [misc]backup-simplify: Simplify 2 into 2 1544000948.261 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1544000948.261 * [misc]taylor: Taking taylor expansion of n in k 1544000948.261 * [misc]backup-simplify: Simplify n into n 1544000948.261 * [misc]taylor: Taking taylor expansion of PI in k 1544000948.261 * [misc]backup-simplify: Simplify PI into PI 1544000948.261 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1544000948.261 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1544000948.261 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1544000948.261 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544000948.261 * [misc]backup-simplify: Simplify (- 0) into 0 1544000948.261 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544000948.262 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1544000948.262 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1544000948.262 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1544000948.262 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1544000948.262 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544000948.262 * [misc]taylor: Taking taylor expansion of k in n 1544000948.262 * [misc]backup-simplify: Simplify k into k 1544000948.262 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544000948.262 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1544000948.262 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544000948.262 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1544000948.262 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1544000948.262 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1544000948.262 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1544000948.262 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544000948.262 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544000948.262 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000948.262 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544000948.262 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544000948.262 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000948.262 * [misc]taylor: Taking taylor expansion of k in n 1544000948.262 * [misc]backup-simplify: Simplify k into k 1544000948.262 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544000948.262 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544000948.262 * [misc]taylor: Taking taylor expansion of 2 in n 1544000948.262 * [misc]backup-simplify: Simplify 2 into 2 1544000948.262 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544000948.262 * [misc]taylor: Taking taylor expansion of n in n 1544000948.262 * [misc]backup-simplify: Simplify 0 into 0 1544000948.262 * [misc]backup-simplify: Simplify 1 into 1 1544000948.262 * [misc]taylor: Taking taylor expansion of PI in n 1544000948.262 * [misc]backup-simplify: Simplify PI into PI 1544000948.262 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544000948.263 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544000948.263 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544000948.263 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544000948.264 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544000948.264 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544000948.264 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544000948.264 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544000948.264 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544000948.265 * [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)))) 1544000948.265 * [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))))) 1544000948.265 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1544000948.265 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1544000948.265 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544000948.265 * [misc]taylor: Taking taylor expansion of k in n 1544000948.265 * [misc]backup-simplify: Simplify k into k 1544000948.265 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544000948.265 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1544000948.265 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544000948.265 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1544000948.265 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1544000948.265 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1544000948.265 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1544000948.265 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544000948.265 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544000948.265 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000948.265 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544000948.265 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544000948.265 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000948.265 * [misc]taylor: Taking taylor expansion of k in n 1544000948.265 * [misc]backup-simplify: Simplify k into k 1544000948.265 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544000948.265 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544000948.265 * [misc]taylor: Taking taylor expansion of 2 in n 1544000948.265 * [misc]backup-simplify: Simplify 2 into 2 1544000948.265 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544000948.266 * [misc]taylor: Taking taylor expansion of n in n 1544000948.266 * [misc]backup-simplify: Simplify 0 into 0 1544000948.266 * [misc]backup-simplify: Simplify 1 into 1 1544000948.266 * [misc]taylor: Taking taylor expansion of PI in n 1544000948.266 * [misc]backup-simplify: Simplify PI into PI 1544000948.266 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544000948.266 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544000948.266 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544000948.267 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544000948.267 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544000948.267 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544000948.267 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544000948.267 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544000948.267 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544000948.268 * [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)))) 1544000948.268 * [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))))) 1544000948.269 * [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))) 1544000948.269 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k 1544000948.269 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1544000948.269 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1544000948.269 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544000948.269 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544000948.269 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000948.269 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544000948.269 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544000948.269 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000948.269 * [misc]taylor: Taking taylor expansion of k in k 1544000948.269 * [misc]backup-simplify: Simplify 0 into 0 1544000948.269 * [misc]backup-simplify: Simplify 1 into 1 1544000948.269 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1544000948.269 * [misc]taylor: Taking taylor expansion of (log n) in k 1544000948.269 * [misc]taylor: Taking taylor expansion of n in k 1544000948.269 * [misc]backup-simplify: Simplify n into n 1544000948.269 * [misc]backup-simplify: Simplify (log n) into (log n) 1544000948.269 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544000948.269 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544000948.269 * [misc]taylor: Taking taylor expansion of 2 in k 1544000948.269 * [misc]backup-simplify: Simplify 2 into 2 1544000948.269 * [misc]taylor: Taking taylor expansion of PI in k 1544000948.269 * [misc]backup-simplify: Simplify PI into PI 1544000948.269 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544000948.270 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544000948.270 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544000948.270 * [misc]backup-simplify: Simplify (- 0) into 0 1544000948.270 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544000948.270 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544000948.271 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1544000948.271 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1544000948.271 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1544000948.271 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544000948.271 * [misc]taylor: Taking taylor expansion of k in k 1544000948.271 * [misc]backup-simplify: Simplify 0 into 0 1544000948.271 * [misc]backup-simplify: Simplify 1 into 1 1544000948.271 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544000948.271 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544000948.271 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544000948.272 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 1544000948.272 * [misc]backup-simplify: Simplify 0 into 0 1544000948.272 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544000948.273 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1544000948.275 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544000948.275 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1544000948.275 * [misc]backup-simplify: Simplify (- 0) into 0 1544000948.275 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544000948.275 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544000948.276 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1544000948.277 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1544000948.277 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0 1544000948.277 * [misc]taylor: Taking taylor expansion of 0 in k 1544000948.277 * [misc]backup-simplify: Simplify 0 into 0 1544000948.278 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1544000948.278 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544000948.280 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544000948.280 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544000948.280 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544000948.280 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544000948.280 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544000948.281 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1544000948.281 * [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))))))) 1544000948.283 * [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))))))) 1544000948.283 * [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))))))) 1544000948.284 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1544000948.285 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1544000948.288 * [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 1544000948.288 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1544000948.288 * [misc]backup-simplify: Simplify (- 0) into 0 1544000948.288 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544000948.289 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544000948.289 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1544000948.291 * [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 1544000948.291 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544000948.291 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1544000948.292 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0 1544000948.292 * [misc]taylor: Taking taylor expansion of 0 in k 1544000948.292 * [misc]backup-simplify: Simplify 0 into 0 1544000948.292 * [misc]backup-simplify: Simplify 0 into 0 1544000948.292 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544000948.292 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544000948.293 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1544000948.294 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544000948.297 * [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 1544000948.297 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544000948.297 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544000948.298 * [misc]backup-simplify: Simplify (- 0) into 0 1544000948.298 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544000948.298 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1544000948.300 * [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))))) 1544000948.302 * [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)))))))) 1544000948.304 * [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)))))))) 1544000948.306 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544000948.307 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1544000948.311 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 1544000948.312 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1544000948.312 * [misc]backup-simplify: Simplify (- 0) into 0 1544000948.312 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544000948.312 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544000948.313 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1544000948.315 * [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 1544000948.315 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544000948.315 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1544000948.316 * [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 1544000948.316 * [misc]taylor: Taking taylor expansion of 0 in k 1544000948.316 * [misc]backup-simplify: Simplify 0 into 0 1544000948.316 * [misc]backup-simplify: Simplify 0 into 0 1544000948.316 * [misc]backup-simplify: Simplify 0 into 0 1544000948.316 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000948.317 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544000948.319 * [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 1544000948.320 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544000948.324 * [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 1544000948.324 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544000948.324 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1544000948.325 * [misc]backup-simplify: Simplify (- 0) into 0 1544000948.325 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544000948.325 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1544000948.328 * [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))))))) 1544000948.334 * [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)))))))))))))) 1544000948.340 * [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)))))))))))))) 1544000948.354 * [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)))))))))))))))))))))) 1544000948.355 * [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))))) 1544000948.355 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0 1544000948.355 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1544000948.355 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1544000948.355 * [misc]taylor: Taking taylor expansion of k in k 1544000948.355 * [misc]backup-simplify: Simplify 0 into 0 1544000948.355 * [misc]backup-simplify: Simplify 1 into 1 1544000948.355 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544000948.356 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544000948.356 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1544000948.356 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1544000948.356 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1544000948.356 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544000948.356 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544000948.356 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000948.356 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544000948.356 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544000948.356 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000948.356 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544000948.356 * [misc]taylor: Taking taylor expansion of k in k 1544000948.356 * [misc]backup-simplify: Simplify 0 into 0 1544000948.356 * [misc]backup-simplify: Simplify 1 into 1 1544000948.357 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544000948.357 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1544000948.357 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1544000948.357 * [misc]taylor: Taking taylor expansion of 2 in k 1544000948.357 * [misc]backup-simplify: Simplify 2 into 2 1544000948.357 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544000948.357 * [misc]taylor: Taking taylor expansion of PI in k 1544000948.357 * [misc]backup-simplify: Simplify PI into PI 1544000948.357 * [misc]taylor: Taking taylor expansion of n in k 1544000948.357 * [misc]backup-simplify: Simplify n into n 1544000948.357 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544000948.357 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1544000948.357 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1544000948.357 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544000948.357 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544000948.358 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544000948.358 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1544000948.358 * [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)))) 1544000948.358 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1544000948.358 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1544000948.358 * [misc]taylor: Taking taylor expansion of k in n 1544000948.358 * [misc]backup-simplify: Simplify k into k 1544000948.358 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1544000948.358 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1544000948.358 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544000948.358 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1544000948.358 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1544000948.359 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544000948.359 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544000948.359 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000948.359 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544000948.359 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544000948.359 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000948.359 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544000948.359 * [misc]taylor: Taking taylor expansion of k in n 1544000948.359 * [misc]backup-simplify: Simplify k into k 1544000948.359 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544000948.359 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544000948.359 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544000948.359 * [misc]taylor: Taking taylor expansion of 2 in n 1544000948.359 * [misc]backup-simplify: Simplify 2 into 2 1544000948.359 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544000948.359 * [misc]taylor: Taking taylor expansion of PI in n 1544000948.359 * [misc]backup-simplify: Simplify PI into PI 1544000948.359 * [misc]taylor: Taking taylor expansion of n in n 1544000948.359 * [misc]backup-simplify: Simplify 0 into 0 1544000948.359 * [misc]backup-simplify: Simplify 1 into 1 1544000948.359 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544000948.360 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544000948.360 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544000948.360 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544000948.360 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544000948.361 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544000948.361 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544000948.362 * [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))) 1544000948.363 * [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)))) 1544000948.363 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1544000948.363 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1544000948.363 * [misc]taylor: Taking taylor expansion of k in n 1544000948.363 * [misc]backup-simplify: Simplify k into k 1544000948.363 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1544000948.363 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1544000948.363 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544000948.363 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1544000948.363 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1544000948.363 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544000948.363 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544000948.363 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000948.363 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544000948.363 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544000948.363 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000948.363 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544000948.363 * [misc]taylor: Taking taylor expansion of k in n 1544000948.363 * [misc]backup-simplify: Simplify k into k 1544000948.364 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544000948.364 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544000948.364 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544000948.364 * [misc]taylor: Taking taylor expansion of 2 in n 1544000948.364 * [misc]backup-simplify: Simplify 2 into 2 1544000948.364 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544000948.364 * [misc]taylor: Taking taylor expansion of PI in n 1544000948.364 * [misc]backup-simplify: Simplify PI into PI 1544000948.364 * [misc]taylor: Taking taylor expansion of n in n 1544000948.364 * [misc]backup-simplify: Simplify 0 into 0 1544000948.364 * [misc]backup-simplify: Simplify 1 into 1 1544000948.364 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544000948.364 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544000948.365 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544000948.365 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544000948.365 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544000948.365 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544000948.366 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544000948.366 * [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))) 1544000948.367 * [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)))) 1544000948.368 * [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)) 1544000948.368 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k 1544000948.368 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1544000948.368 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1544000948.368 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544000948.368 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544000948.368 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000948.368 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544000948.368 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544000948.368 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000948.368 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544000948.368 * [misc]taylor: Taking taylor expansion of k in k 1544000948.368 * [misc]backup-simplify: Simplify 0 into 0 1544000948.368 * [misc]backup-simplify: Simplify 1 into 1 1544000948.368 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544000948.369 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1544000948.369 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544000948.369 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544000948.369 * [misc]taylor: Taking taylor expansion of 2 in k 1544000948.369 * [misc]backup-simplify: Simplify 2 into 2 1544000948.369 * [misc]taylor: Taking taylor expansion of PI in k 1544000948.369 * [misc]backup-simplify: Simplify PI into PI 1544000948.369 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544000948.369 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544000948.369 * [misc]taylor: Taking taylor expansion of (log n) in k 1544000948.370 * [misc]taylor: Taking taylor expansion of n in k 1544000948.370 * [misc]backup-simplify: Simplify n into n 1544000948.370 * [misc]backup-simplify: Simplify (log n) into (log n) 1544000948.370 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544000948.370 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544000948.370 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544000948.370 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544000948.371 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1544000948.371 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1544000948.372 * [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)))) 1544000948.372 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1544000948.372 * [misc]taylor: Taking taylor expansion of k in k 1544000948.372 * [misc]backup-simplify: Simplify 0 into 0 1544000948.372 * [misc]backup-simplify: Simplify 1 into 1 1544000948.372 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544000948.373 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544000948.373 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0 1544000948.373 * [misc]backup-simplify: Simplify 0 into 0 1544000948.375 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544000948.375 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544000948.378 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544000948.378 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544000948.378 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544000948.378 * [misc]backup-simplify: Simplify (- 0) into 0 1544000948.379 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544000948.379 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544000948.380 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1544000948.381 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544000948.382 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1544000948.382 * [misc]taylor: Taking taylor expansion of 0 in k 1544000948.382 * [misc]backup-simplify: Simplify 0 into 0 1544000948.382 * [misc]backup-simplify: Simplify 0 into 0 1544000948.383 * [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)))))) 1544000948.384 * [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)))))) 1544000948.385 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000948.386 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544000948.391 * [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 1544000948.391 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544000948.392 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544000948.392 * [misc]backup-simplify: Simplify (- 0) into 0 1544000948.392 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544000948.393 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544000948.393 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1544000948.396 * [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 1544000948.396 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1544000948.397 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1544000948.397 * [misc]taylor: Taking taylor expansion of 0 in k 1544000948.397 * [misc]backup-simplify: Simplify 0 into 0 1544000948.397 * [misc]backup-simplify: Simplify 0 into 0 1544000948.397 * [misc]backup-simplify: Simplify 0 into 0 1544000948.399 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544000948.399 * [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)))))) 1544000948.400 * [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)))))) 1544000948.401 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000948.402 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544000948.406 * [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 1544000948.407 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544000948.407 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1544000948.407 * [misc]backup-simplify: Simplify (- 0) into 0 1544000948.407 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544000948.407 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544000948.408 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1544000948.410 * [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 1544000948.410 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1544000948.411 * [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 1544000948.411 * [misc]taylor: Taking taylor expansion of 0 in k 1544000948.411 * [misc]backup-simplify: Simplify 0 into 0 1544000948.411 * [misc]backup-simplify: Simplify 0 into 0 1544000948.411 * [misc]backup-simplify: Simplify 0 into 0 1544000948.411 * [misc]backup-simplify: Simplify 0 into 0 1544000948.412 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544000948.412 * [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)))))) 1544000948.413 * [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)))))) 1544000948.414 * [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)))))))) 1544000948.415 * [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))) 1544000948.415 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1544000948.415 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1544000948.415 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544000948.415 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1544000948.415 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1544000948.415 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544000948.415 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544000948.415 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544000948.415 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000948.415 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544000948.415 * [misc]taylor: Taking taylor expansion of k in k 1544000948.415 * [misc]backup-simplify: Simplify 0 into 0 1544000948.415 * [misc]backup-simplify: Simplify 1 into 1 1544000948.415 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544000948.415 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544000948.415 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000948.415 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1544000948.415 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1544000948.415 * [misc]taylor: Taking taylor expansion of -2 in k 1544000948.415 * [misc]backup-simplify: Simplify -2 into -2 1544000948.415 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544000948.415 * [misc]taylor: Taking taylor expansion of PI in k 1544000948.415 * [misc]backup-simplify: Simplify PI into PI 1544000948.415 * [misc]taylor: Taking taylor expansion of n in k 1544000948.415 * [misc]backup-simplify: Simplify n into n 1544000948.415 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544000948.415 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1544000948.415 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1544000948.415 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544000948.415 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544000948.415 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1544000948.416 * [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))) 1544000948.416 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544000948.416 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544000948.416 * [misc]taylor: Taking taylor expansion of -1 in k 1544000948.416 * [misc]backup-simplify: Simplify -1 into -1 1544000948.416 * [misc]taylor: Taking taylor expansion of k in k 1544000948.416 * [misc]backup-simplify: Simplify 0 into 0 1544000948.416 * [misc]backup-simplify: Simplify 1 into 1 1544000948.416 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544000948.416 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544000948.416 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544000948.416 * [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)))) 1544000948.416 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1544000948.416 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544000948.416 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1544000948.416 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1544000948.417 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544000948.417 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544000948.417 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544000948.417 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000948.417 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544000948.417 * [misc]taylor: Taking taylor expansion of k in n 1544000948.417 * [misc]backup-simplify: Simplify k into k 1544000948.417 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544000948.417 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544000948.417 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000948.417 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544000948.417 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544000948.417 * [misc]taylor: Taking taylor expansion of -2 in n 1544000948.417 * [misc]backup-simplify: Simplify -2 into -2 1544000948.417 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544000948.417 * [misc]taylor: Taking taylor expansion of PI in n 1544000948.417 * [misc]backup-simplify: Simplify PI into PI 1544000948.417 * [misc]taylor: Taking taylor expansion of n in n 1544000948.417 * [misc]backup-simplify: Simplify 0 into 0 1544000948.417 * [misc]backup-simplify: Simplify 1 into 1 1544000948.417 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544000948.417 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544000948.417 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544000948.417 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544000948.418 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544000948.418 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544000948.418 * [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))) 1544000948.419 * [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)))) 1544000948.419 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1544000948.419 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544000948.419 * [misc]taylor: Taking taylor expansion of -1 in n 1544000948.419 * [misc]backup-simplify: Simplify -1 into -1 1544000948.419 * [misc]taylor: Taking taylor expansion of k in n 1544000948.419 * [misc]backup-simplify: Simplify k into k 1544000948.419 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544000948.419 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1544000948.419 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544000948.419 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1544000948.419 * [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))) 1544000948.419 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1544000948.420 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544000948.420 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1544000948.420 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1544000948.420 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544000948.420 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544000948.420 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544000948.420 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000948.420 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544000948.420 * [misc]taylor: Taking taylor expansion of k in n 1544000948.420 * [misc]backup-simplify: Simplify k into k 1544000948.420 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544000948.420 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544000948.420 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000948.420 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544000948.420 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544000948.420 * [misc]taylor: Taking taylor expansion of -2 in n 1544000948.420 * [misc]backup-simplify: Simplify -2 into -2 1544000948.420 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544000948.420 * [misc]taylor: Taking taylor expansion of PI in n 1544000948.420 * [misc]backup-simplify: Simplify PI into PI 1544000948.420 * [misc]taylor: Taking taylor expansion of n in n 1544000948.420 * [misc]backup-simplify: Simplify 0 into 0 1544000948.420 * [misc]backup-simplify: Simplify 1 into 1 1544000948.420 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544000948.420 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544000948.420 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544000948.421 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544000948.421 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544000948.421 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544000948.422 * [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))) 1544000948.422 * [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)))) 1544000948.422 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1544000948.422 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544000948.422 * [misc]taylor: Taking taylor expansion of -1 in n 1544000948.422 * [misc]backup-simplify: Simplify -1 into -1 1544000948.422 * [misc]taylor: Taking taylor expansion of k in n 1544000948.422 * [misc]backup-simplify: Simplify k into k 1544000948.422 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544000948.422 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1544000948.422 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544000948.422 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1544000948.423 * [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))) 1544000948.423 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k 1544000948.423 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1544000948.423 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1544000948.423 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544000948.423 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544000948.423 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544000948.423 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000948.423 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544000948.423 * [misc]taylor: Taking taylor expansion of k in k 1544000948.423 * [misc]backup-simplify: Simplify 0 into 0 1544000948.423 * [misc]backup-simplify: Simplify 1 into 1 1544000948.423 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544000948.423 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544000948.423 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000948.423 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1544000948.423 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1544000948.423 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1544000948.423 * [misc]taylor: Taking taylor expansion of -2 in k 1544000948.423 * [misc]backup-simplify: Simplify -2 into -2 1544000948.423 * [misc]taylor: Taking taylor expansion of PI in k 1544000948.423 * [misc]backup-simplify: Simplify PI into PI 1544000948.423 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544000948.424 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544000948.424 * [misc]taylor: Taking taylor expansion of (log n) in k 1544000948.424 * [misc]taylor: Taking taylor expansion of n in k 1544000948.424 * [misc]backup-simplify: Simplify n into n 1544000948.424 * [misc]backup-simplify: Simplify (log n) into (log n) 1544000948.424 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544000948.424 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544000948.424 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544000948.424 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1544000948.425 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1544000948.425 * [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)))) 1544000948.425 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544000948.425 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544000948.425 * [misc]taylor: Taking taylor expansion of -1 in k 1544000948.425 * [misc]backup-simplify: Simplify -1 into -1 1544000948.425 * [misc]taylor: Taking taylor expansion of k in k 1544000948.425 * [misc]backup-simplify: Simplify 0 into 0 1544000948.425 * [misc]backup-simplify: Simplify 1 into 1 1544000948.425 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544000948.425 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544000948.426 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544000948.426 * [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))))) 1544000948.426 * [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))))) 1544000948.427 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544000948.427 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1544000948.429 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1544000948.429 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544000948.429 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544000948.429 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544000948.430 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544000948.430 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1544000948.431 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544000948.432 * [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 1544000948.432 * [misc]taylor: Taking taylor expansion of 0 in k 1544000948.432 * [misc]backup-simplify: Simplify 0 into 0 1544000948.432 * [misc]backup-simplify: Simplify 0 into 0 1544000948.432 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1544000948.433 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544000948.434 * [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)))))) 1544000948.435 * [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)))))) 1544000948.436 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000948.438 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1544000948.443 * [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 1544000948.443 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544000948.443 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544000948.443 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544000948.444 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544000948.445 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1544000948.447 * [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 1544000948.447 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544000948.448 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1544000948.449 * [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 1544000948.449 * [misc]taylor: Taking taylor expansion of 0 in k 1544000948.449 * [misc]backup-simplify: Simplify 0 into 0 1544000948.449 * [misc]backup-simplify: Simplify 0 into 0 1544000948.449 * [misc]backup-simplify: Simplify 0 into 0 1544000948.450 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000948.451 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544000948.453 * [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)))))) 1544000948.453 * [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)))))) 1544000948.456 * [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))))))))))) 1544000948.457 * * * * [misc]progress: [ 3 / 3 ] generating series at (2 1) 1544000948.457 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1544000948.457 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1544000948.457 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1544000948.457 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1544000948.457 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1544000948.457 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544000948.457 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544000948.457 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000948.457 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544000948.457 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544000948.457 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000948.457 * [misc]taylor: Taking taylor expansion of k in k 1544000948.457 * [misc]backup-simplify: Simplify 0 into 0 1544000948.457 * [misc]backup-simplify: Simplify 1 into 1 1544000948.457 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1544000948.457 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1544000948.457 * [misc]taylor: Taking taylor expansion of 2 in k 1544000948.457 * [misc]backup-simplify: Simplify 2 into 2 1544000948.457 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1544000948.457 * [misc]taylor: Taking taylor expansion of n in k 1544000948.457 * [misc]backup-simplify: Simplify n into n 1544000948.457 * [misc]taylor: Taking taylor expansion of PI in k 1544000948.457 * [misc]backup-simplify: Simplify PI into PI 1544000948.458 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1544000948.458 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1544000948.458 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1544000948.458 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544000948.458 * [misc]backup-simplify: Simplify (- 0) into 0 1544000948.458 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544000948.458 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1544000948.458 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1544000948.458 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1544000948.458 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1544000948.459 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1544000948.459 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544000948.459 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544000948.459 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000948.459 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544000948.459 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544000948.459 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000948.459 * [misc]taylor: Taking taylor expansion of k in n 1544000948.459 * [misc]backup-simplify: Simplify k into k 1544000948.459 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544000948.459 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544000948.459 * [misc]taylor: Taking taylor expansion of 2 in n 1544000948.459 * [misc]backup-simplify: Simplify 2 into 2 1544000948.459 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544000948.459 * [misc]taylor: Taking taylor expansion of n in n 1544000948.459 * [misc]backup-simplify: Simplify 0 into 0 1544000948.459 * [misc]backup-simplify: Simplify 1 into 1 1544000948.459 * [misc]taylor: Taking taylor expansion of PI in n 1544000948.459 * [misc]backup-simplify: Simplify PI into PI 1544000948.459 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544000948.460 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544000948.460 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544000948.461 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544000948.461 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544000948.461 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544000948.462 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544000948.462 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544000948.462 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544000948.463 * [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)))) 1544000948.464 * [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))))) 1544000948.464 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1544000948.464 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1544000948.464 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1544000948.464 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544000948.464 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544000948.464 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000948.464 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544000948.464 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544000948.464 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000948.464 * [misc]taylor: Taking taylor expansion of k in n 1544000948.464 * [misc]backup-simplify: Simplify k into k 1544000948.464 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544000948.464 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544000948.464 * [misc]taylor: Taking taylor expansion of 2 in n 1544000948.464 * [misc]backup-simplify: Simplify 2 into 2 1544000948.464 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544000948.464 * [misc]taylor: Taking taylor expansion of n in n 1544000948.464 * [misc]backup-simplify: Simplify 0 into 0 1544000948.464 * [misc]backup-simplify: Simplify 1 into 1 1544000948.464 * [misc]taylor: Taking taylor expansion of PI in n 1544000948.464 * [misc]backup-simplify: Simplify PI into PI 1544000948.465 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544000948.465 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544000948.465 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544000948.466 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544000948.466 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544000948.466 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544000948.467 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544000948.467 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544000948.467 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544000948.468 * [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)))) 1544000948.468 * [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))))) 1544000948.469 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1544000948.469 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1544000948.469 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544000948.469 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544000948.469 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000948.469 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544000948.469 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544000948.469 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000948.469 * [misc]taylor: Taking taylor expansion of k in k 1544000948.469 * [misc]backup-simplify: Simplify 0 into 0 1544000948.469 * [misc]backup-simplify: Simplify 1 into 1 1544000948.469 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1544000948.469 * [misc]taylor: Taking taylor expansion of (log n) in k 1544000948.469 * [misc]taylor: Taking taylor expansion of n in k 1544000948.469 * [misc]backup-simplify: Simplify n into n 1544000948.469 * [misc]backup-simplify: Simplify (log n) into (log n) 1544000948.469 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544000948.469 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544000948.469 * [misc]taylor: Taking taylor expansion of 2 in k 1544000948.469 * [misc]backup-simplify: Simplify 2 into 2 1544000948.469 * [misc]taylor: Taking taylor expansion of PI in k 1544000948.469 * [misc]backup-simplify: Simplify PI into PI 1544000948.470 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544000948.470 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544000948.470 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544000948.470 * [misc]backup-simplify: Simplify (- 0) into 0 1544000948.470 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544000948.471 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544000948.472 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1544000948.472 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1544000948.473 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1544000948.474 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544000948.475 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1544000948.477 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544000948.478 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1544000948.478 * [misc]backup-simplify: Simplify (- 0) into 0 1544000948.478 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544000948.479 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544000948.479 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1544000948.481 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1544000948.481 * [misc]taylor: Taking taylor expansion of 0 in k 1544000948.481 * [misc]backup-simplify: Simplify 0 into 0 1544000948.481 * [misc]backup-simplify: Simplify 0 into 0 1544000948.482 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1544000948.482 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544000948.485 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544000948.485 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544000948.485 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544000948.485 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544000948.486 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544000948.486 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1544000948.488 * [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))))))) 1544000948.489 * [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))))))) 1544000948.491 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1544000948.493 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1544000948.499 * [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 1544000948.499 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1544000948.499 * [misc]backup-simplify: Simplify (- 0) into 0 1544000948.499 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544000948.500 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544000948.501 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1544000948.503 * [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 1544000948.503 * [misc]taylor: Taking taylor expansion of 0 in k 1544000948.503 * [misc]backup-simplify: Simplify 0 into 0 1544000948.503 * [misc]backup-simplify: Simplify 0 into 0 1544000948.503 * [misc]backup-simplify: Simplify 0 into 0 1544000948.505 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1544000948.506 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544000948.511 * [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 1544000948.513 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544000948.513 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544000948.513 * [misc]backup-simplify: Simplify (- 0) into 0 1544000948.513 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544000948.514 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1544000948.516 * [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))))) 1544000948.519 * [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))))) 1544000948.522 * [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))))) 1544000948.522 * [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)))) 1544000948.522 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1544000948.522 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1544000948.522 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1544000948.522 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1544000948.522 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544000948.522 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544000948.522 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000948.522 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544000948.522 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544000948.522 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000948.522 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544000948.522 * [misc]taylor: Taking taylor expansion of k in k 1544000948.522 * [misc]backup-simplify: Simplify 0 into 0 1544000948.522 * [misc]backup-simplify: Simplify 1 into 1 1544000948.522 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544000948.522 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1544000948.522 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1544000948.522 * [misc]taylor: Taking taylor expansion of 2 in k 1544000948.522 * [misc]backup-simplify: Simplify 2 into 2 1544000948.523 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544000948.523 * [misc]taylor: Taking taylor expansion of PI in k 1544000948.523 * [misc]backup-simplify: Simplify PI into PI 1544000948.523 * [misc]taylor: Taking taylor expansion of n in k 1544000948.523 * [misc]backup-simplify: Simplify n into n 1544000948.523 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544000948.523 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1544000948.523 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1544000948.523 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544000948.523 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544000948.523 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544000948.523 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1544000948.523 * [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)))) 1544000948.523 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544000948.523 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1544000948.523 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1544000948.523 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544000948.523 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544000948.523 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000948.523 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544000948.523 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544000948.523 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000948.523 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544000948.523 * [misc]taylor: Taking taylor expansion of k in n 1544000948.523 * [misc]backup-simplify: Simplify k into k 1544000948.523 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544000948.524 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544000948.524 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544000948.524 * [misc]taylor: Taking taylor expansion of 2 in n 1544000948.524 * [misc]backup-simplify: Simplify 2 into 2 1544000948.524 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544000948.524 * [misc]taylor: Taking taylor expansion of PI in n 1544000948.524 * [misc]backup-simplify: Simplify PI into PI 1544000948.524 * [misc]taylor: Taking taylor expansion of n in n 1544000948.524 * [misc]backup-simplify: Simplify 0 into 0 1544000948.524 * [misc]backup-simplify: Simplify 1 into 1 1544000948.524 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544000948.524 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544000948.524 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544000948.525 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544000948.525 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544000948.525 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544000948.525 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544000948.526 * [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))) 1544000948.526 * [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)))) 1544000948.526 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544000948.526 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1544000948.526 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1544000948.526 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544000948.526 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544000948.526 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000948.526 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544000948.526 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544000948.526 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000948.526 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544000948.526 * [misc]taylor: Taking taylor expansion of k in n 1544000948.526 * [misc]backup-simplify: Simplify k into k 1544000948.526 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544000948.526 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544000948.526 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544000948.526 * [misc]taylor: Taking taylor expansion of 2 in n 1544000948.526 * [misc]backup-simplify: Simplify 2 into 2 1544000948.526 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544000948.526 * [misc]taylor: Taking taylor expansion of PI in n 1544000948.526 * [misc]backup-simplify: Simplify PI into PI 1544000948.526 * [misc]taylor: Taking taylor expansion of n in n 1544000948.526 * [misc]backup-simplify: Simplify 0 into 0 1544000948.526 * [misc]backup-simplify: Simplify 1 into 1 1544000948.527 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544000948.527 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544000948.527 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544000948.527 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544000948.527 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544000948.527 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544000948.528 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544000948.528 * [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))) 1544000948.528 * [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)))) 1544000948.528 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1544000948.528 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1544000948.528 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544000948.529 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544000948.529 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000948.529 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544000948.529 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544000948.529 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000948.529 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544000948.529 * [misc]taylor: Taking taylor expansion of k in k 1544000948.529 * [misc]backup-simplify: Simplify 0 into 0 1544000948.529 * [misc]backup-simplify: Simplify 1 into 1 1544000948.529 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544000948.529 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1544000948.529 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544000948.529 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544000948.529 * [misc]taylor: Taking taylor expansion of 2 in k 1544000948.529 * [misc]backup-simplify: Simplify 2 into 2 1544000948.529 * [misc]taylor: Taking taylor expansion of PI in k 1544000948.529 * [misc]backup-simplify: Simplify PI into PI 1544000948.529 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544000948.529 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544000948.529 * [misc]taylor: Taking taylor expansion of (log n) in k 1544000948.529 * [misc]taylor: Taking taylor expansion of n in k 1544000948.529 * [misc]backup-simplify: Simplify n into n 1544000948.529 * [misc]backup-simplify: Simplify (log n) into (log n) 1544000948.529 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544000948.530 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544000948.530 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544000948.530 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544000948.530 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1544000948.530 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1544000948.531 * [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)))) 1544000948.531 * [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)))) 1544000948.532 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544000948.532 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544000948.534 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544000948.534 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544000948.534 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544000948.534 * [misc]backup-simplify: Simplify (- 0) into 0 1544000948.534 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544000948.535 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544000948.535 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1544000948.536 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544000948.536 * [misc]taylor: Taking taylor expansion of 0 in k 1544000948.536 * [misc]backup-simplify: Simplify 0 into 0 1544000948.536 * [misc]backup-simplify: Simplify 0 into 0 1544000948.536 * [misc]backup-simplify: Simplify 0 into 0 1544000948.537 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000948.537 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544000948.540 * [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 1544000948.540 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544000948.541 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544000948.541 * [misc]backup-simplify: Simplify (- 0) into 0 1544000948.541 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544000948.541 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544000948.542 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1544000948.543 * [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 1544000948.543 * [misc]taylor: Taking taylor expansion of 0 in k 1544000948.543 * [misc]backup-simplify: Simplify 0 into 0 1544000948.543 * [misc]backup-simplify: Simplify 0 into 0 1544000948.543 * [misc]backup-simplify: Simplify 0 into 0 1544000948.543 * [misc]backup-simplify: Simplify 0 into 0 1544000948.544 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000948.545 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544000948.551 * [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 1544000948.552 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544000948.552 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1544000948.552 * [misc]backup-simplify: Simplify (- 0) into 0 1544000948.552 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544000948.553 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544000948.554 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1544000948.558 * [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 1544000948.558 * [misc]taylor: Taking taylor expansion of 0 in k 1544000948.558 * [misc]backup-simplify: Simplify 0 into 0 1544000948.558 * [misc]backup-simplify: Simplify 0 into 0 1544000948.558 * [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))))) 1544000948.559 * [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)) 1544000948.559 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1544000948.559 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544000948.559 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1544000948.559 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1544000948.559 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544000948.559 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544000948.559 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544000948.559 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000948.559 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544000948.559 * [misc]taylor: Taking taylor expansion of k in k 1544000948.559 * [misc]backup-simplify: Simplify 0 into 0 1544000948.559 * [misc]backup-simplify: Simplify 1 into 1 1544000948.559 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544000948.559 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544000948.559 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000948.559 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1544000948.559 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1544000948.559 * [misc]taylor: Taking taylor expansion of -2 in k 1544000948.559 * [misc]backup-simplify: Simplify -2 into -2 1544000948.560 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544000948.560 * [misc]taylor: Taking taylor expansion of PI in k 1544000948.560 * [misc]backup-simplify: Simplify PI into PI 1544000948.560 * [misc]taylor: Taking taylor expansion of n in k 1544000948.560 * [misc]backup-simplify: Simplify n into n 1544000948.560 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544000948.560 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1544000948.560 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1544000948.560 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544000948.560 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544000948.560 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1544000948.561 * [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))) 1544000948.561 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544000948.561 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1544000948.561 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1544000948.561 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544000948.561 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544000948.561 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544000948.561 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000948.561 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544000948.561 * [misc]taylor: Taking taylor expansion of k in n 1544000948.561 * [misc]backup-simplify: Simplify k into k 1544000948.561 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544000948.561 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544000948.561 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000948.561 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544000948.561 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544000948.561 * [misc]taylor: Taking taylor expansion of -2 in n 1544000948.561 * [misc]backup-simplify: Simplify -2 into -2 1544000948.561 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544000948.561 * [misc]taylor: Taking taylor expansion of PI in n 1544000948.561 * [misc]backup-simplify: Simplify PI into PI 1544000948.561 * [misc]taylor: Taking taylor expansion of n in n 1544000948.561 * [misc]backup-simplify: Simplify 0 into 0 1544000948.562 * [misc]backup-simplify: Simplify 1 into 1 1544000948.562 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544000948.562 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544000948.563 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544000948.563 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544000948.563 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544000948.564 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544000948.564 * [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))) 1544000948.565 * [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)))) 1544000948.565 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544000948.565 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1544000948.565 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1544000948.565 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544000948.565 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544000948.565 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544000948.565 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000948.565 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544000948.565 * [misc]taylor: Taking taylor expansion of k in n 1544000948.565 * [misc]backup-simplify: Simplify k into k 1544000948.565 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544000948.565 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544000948.565 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000948.565 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544000948.565 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544000948.565 * [misc]taylor: Taking taylor expansion of -2 in n 1544000948.565 * [misc]backup-simplify: Simplify -2 into -2 1544000948.565 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544000948.566 * [misc]taylor: Taking taylor expansion of PI in n 1544000948.566 * [misc]backup-simplify: Simplify PI into PI 1544000948.566 * [misc]taylor: Taking taylor expansion of n in n 1544000948.566 * [misc]backup-simplify: Simplify 0 into 0 1544000948.566 * [misc]backup-simplify: Simplify 1 into 1 1544000948.566 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544000948.566 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544000948.567 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544000948.567 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544000948.567 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544000948.568 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544000948.568 * [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))) 1544000948.569 * [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)))) 1544000948.569 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1544000948.569 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1544000948.569 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544000948.569 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544000948.569 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544000948.569 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000948.569 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544000948.569 * [misc]taylor: Taking taylor expansion of k in k 1544000948.569 * [misc]backup-simplify: Simplify 0 into 0 1544000948.569 * [misc]backup-simplify: Simplify 1 into 1 1544000948.569 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544000948.569 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544000948.569 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000948.570 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1544000948.570 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1544000948.570 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1544000948.570 * [misc]taylor: Taking taylor expansion of -2 in k 1544000948.570 * [misc]backup-simplify: Simplify -2 into -2 1544000948.570 * [misc]taylor: Taking taylor expansion of PI in k 1544000948.570 * [misc]backup-simplify: Simplify PI into PI 1544000948.570 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544000948.570 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544000948.570 * [misc]taylor: Taking taylor expansion of (log n) in k 1544000948.570 * [misc]taylor: Taking taylor expansion of n in k 1544000948.570 * [misc]backup-simplify: Simplify n into n 1544000948.571 * [misc]backup-simplify: Simplify (log n) into (log n) 1544000948.571 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544000948.571 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544000948.571 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544000948.572 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1544000948.572 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1544000948.573 * [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)))) 1544000948.573 * [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)))) 1544000948.575 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544000948.575 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1544000948.578 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1544000948.578 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544000948.578 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544000948.579 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544000948.579 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544000948.580 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1544000948.582 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544000948.582 * [misc]taylor: Taking taylor expansion of 0 in k 1544000948.582 * [misc]backup-simplify: Simplify 0 into 0 1544000948.582 * [misc]backup-simplify: Simplify 0 into 0 1544000948.582 * [misc]backup-simplify: Simplify 0 into 0 1544000948.583 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000948.584 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1544000948.589 * [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 1544000948.590 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544000948.590 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544000948.590 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544000948.591 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544000948.592 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1544000948.594 * [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 1544000948.594 * [misc]taylor: Taking taylor expansion of 0 in k 1544000948.594 * [misc]backup-simplify: Simplify 0 into 0 1544000948.594 * [misc]backup-simplify: Simplify 0 into 0 1544000948.594 * [misc]backup-simplify: Simplify 0 into 0 1544000948.594 * [misc]backup-simplify: Simplify 0 into 0 1544000948.596 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000948.597 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544000948.605 * [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 1544000948.606 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544000948.606 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1544000948.606 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544000948.607 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544000948.608 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1544000948.612 * [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 1544000948.612 * [misc]taylor: Taking taylor expansion of 0 in k 1544000948.612 * [misc]backup-simplify: Simplify 0 into 0 1544000948.612 * [misc]backup-simplify: Simplify 0 into 0 1544000948.613 * [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))))) 1544000948.613 * * * [misc]progress: simplifying candidates 1544000948.613 * * * * [misc]progress: [ 1 / 77 ] simplifiying candidate # 1544000948.613 * * * * [misc]progress: [ 2 / 77 ] simplifiying candidate # 1544000948.613 * * * * [misc]progress: [ 3 / 77 ] simplifiying candidate # 1544000948.613 * * * * [misc]progress: [ 4 / 77 ] simplifiying candidate # 1544000948.613 * * * * [misc]progress: [ 5 / 77 ] simplifiying candidate # 1544000948.613 * * * * [misc]progress: [ 6 / 77 ] simplifiying candidate # 1544000948.613 * * * * [misc]progress: [ 7 / 77 ] simplifiying candidate # 1544000948.613 * * * * [misc]progress: [ 8 / 77 ] simplifiying candidate # 1544000948.613 * * * * [misc]progress: [ 9 / 77 ] simplifiying candidate # 1544000948.613 * * * * [misc]progress: [ 10 / 77 ] simplifiying candidate # 1544000948.613 * * * * [misc]progress: [ 11 / 77 ] simplifiying candidate # 1544000948.614 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1544000948.614 * * [misc]simplify: iters left: 6 (14 enodes) 1544000948.623 * * [misc]simplify: iters left: 5 (26 enodes) 1544000948.631 * * [misc]simplify: iters left: 4 (53 enodes) 1544000948.654 * * [misc]simplify: iters left: 3 (137 enodes) 1544000948.739 * * [misc]simplify: iters left: 2 (487 enodes) 1544000949.349 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))) 1544000949.349 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))))) 1544000949.349 * * * * [misc]progress: [ 12 / 77 ] simplifiying candidate # 1544000949.349 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1544000949.349 * * [misc]simplify: iters left: 6 (14 enodes) 1544000949.352 * * [misc]simplify: iters left: 5 (26 enodes) 1544000949.356 * * [misc]simplify: iters left: 4 (53 enodes) 1544000949.366 * * [misc]simplify: iters left: 3 (137 enodes) 1544000949.417 * * [misc]simplify: iters left: 2 (487 enodes) 1544000949.994 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))) 1544000949.994 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))))) 1544000949.994 * * * * [misc]progress: [ 13 / 77 ] simplifiying candidate # 1544000949.994 * [enter]simplify: Simplifying (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k))) 1544000949.994 * * [misc]simplify: iters left: 6 (14 enodes) 1544000949.997 * * [misc]simplify: iters left: 5 (24 enodes) 1544000950.001 * * [misc]simplify: iters left: 4 (42 enodes) 1544000950.007 * * [misc]simplify: iters left: 3 (71 enodes) 1544000950.028 * * [misc]simplify: iters left: 2 (208 enodes) 1544000950.226 * [exit]simplify: Simplified to (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k))) 1544000950.226 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k))))) 1544000950.227 * * * * [misc]progress: [ 14 / 77 ] simplifiying candidate # 1544000950.227 * * * * [misc]progress: [ 15 / 77 ] simplifiying candidate # 1544000950.227 * * * * [misc]progress: [ 16 / 77 ] simplifiying candidate # 1544000950.227 * [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))) 1544000950.227 * * [misc]simplify: iters left: 6 (16 enodes) 1544000950.233 * * [misc]simplify: iters left: 5 (31 enodes) 1544000950.243 * * [misc]simplify: iters left: 4 (67 enodes) 1544000950.265 * * [misc]simplify: iters left: 3 (124 enodes) 1544000950.311 * * [misc]simplify: iters left: 2 (195 enodes) 1544000950.385 * * [misc]simplify: iters left: 1 (309 enodes) 1544000950.564 * [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)))) 1544000950.565 * [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)))))) 1544000950.565 * * * * [misc]progress: [ 17 / 77 ] simplifiying candidate # 1544000950.565 * * * * [misc]progress: [ 18 / 77 ] simplifiying candidate # 1544000950.565 * * * * [misc]progress: [ 19 / 77 ] simplifiying candidate # 1544000950.565 * * * * [misc]progress: [ 20 / 77 ] simplifiying candidate # 1544000950.565 * * * * [misc]progress: [ 21 / 77 ] simplifiying candidate # 1544000950.565 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544000950.565 * * [misc]simplify: iters left: 6 (12 enodes) 1544000950.569 * * [misc]simplify: iters left: 5 (19 enodes) 1544000950.575 * * [misc]simplify: iters left: 4 (25 enodes) 1544000950.581 * * [misc]simplify: iters left: 3 (26 enodes) 1544000950.588 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544000950.588 * [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))))) 1544000950.588 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1544000950.588 * * [misc]simplify: iters left: 6 (12 enodes) 1544000950.592 * * [misc]simplify: iters left: 5 (18 enodes) 1544000950.597 * * [misc]simplify: iters left: 4 (24 enodes) 1544000950.603 * * [misc]simplify: iters left: 3 (25 enodes) 1544000950.609 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1544000950.609 * [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))))) 1544000950.609 * * * * [misc]progress: [ 22 / 77 ] simplifiying candidate # 1544000950.610 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1544000950.610 * * [misc]simplify: iters left: 6 (11 enodes) 1544000950.613 * * [misc]simplify: iters left: 5 (16 enodes) 1544000950.618 * * [misc]simplify: iters left: 4 (22 enodes) 1544000950.624 * * [misc]simplify: iters left: 3 (24 enodes) 1544000950.630 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1544000950.630 * [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))))) 1544000950.630 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1544000950.631 * * [misc]simplify: iters left: 6 (12 enodes) 1544000950.634 * * [misc]simplify: iters left: 5 (18 enodes) 1544000950.639 * * [misc]simplify: iters left: 4 (24 enodes) 1544000950.645 * * [misc]simplify: iters left: 3 (25 enodes) 1544000950.652 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1544000950.652 * [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))))) 1544000950.652 * * * * [misc]progress: [ 23 / 77 ] simplifiying candidate # 1544000950.652 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1544000950.652 * * [misc]simplify: iters left: 6 (9 enodes) 1544000950.655 * * [misc]simplify: iters left: 5 (16 enodes) 1544000950.660 * * [misc]simplify: iters left: 4 (24 enodes) 1544000950.666 * * [misc]simplify: iters left: 3 (26 enodes) 1544000950.671 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1544000950.671 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1544000950.671 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1544000950.672 * * [misc]simplify: iters left: 6 (11 enodes) 1544000950.675 * * [misc]simplify: iters left: 5 (17 enodes) 1544000950.680 * * [misc]simplify: iters left: 4 (23 enodes) 1544000950.686 * * [misc]simplify: iters left: 3 (24 enodes) 1544000950.694 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1544000950.694 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1544000950.694 * * * * [misc]progress: [ 24 / 77 ] simplifiying candidate # 1544000950.695 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544000950.695 * * [misc]simplify: iters left: 6 (12 enodes) 1544000950.698 * * [misc]simplify: iters left: 5 (19 enodes) 1544000950.704 * * [misc]simplify: iters left: 4 (25 enodes) 1544000950.710 * * [misc]simplify: iters left: 3 (26 enodes) 1544000950.717 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544000950.717 * [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))))) 1544000950.717 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1544000950.717 * * [misc]simplify: iters left: 6 (12 enodes) 1544000950.721 * * [misc]simplify: iters left: 5 (18 enodes) 1544000950.726 * * [misc]simplify: iters left: 4 (24 enodes) 1544000950.732 * * [misc]simplify: iters left: 3 (25 enodes) 1544000950.737 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1544000950.737 * [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))))) 1544000950.737 * * * * [misc]progress: [ 25 / 77 ] simplifiying candidate # 1544000950.737 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1544000950.737 * * [misc]simplify: iters left: 6 (11 enodes) 1544000950.739 * * [misc]simplify: iters left: 5 (16 enodes) 1544000950.741 * * [misc]simplify: iters left: 4 (22 enodes) 1544000950.744 * * [misc]simplify: iters left: 3 (24 enodes) 1544000950.747 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1544000950.747 * [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))))) 1544000950.747 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1544000950.747 * * [misc]simplify: iters left: 6 (12 enodes) 1544000950.749 * * [misc]simplify: iters left: 5 (18 enodes) 1544000950.752 * * [misc]simplify: iters left: 4 (24 enodes) 1544000950.755 * * [misc]simplify: iters left: 3 (25 enodes) 1544000950.758 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1544000950.758 * [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))))) 1544000950.758 * * * * [misc]progress: [ 26 / 77 ] simplifiying candidate # 1544000950.758 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1544000950.758 * * [misc]simplify: iters left: 6 (9 enodes) 1544000950.759 * * [misc]simplify: iters left: 5 (16 enodes) 1544000950.762 * * [misc]simplify: iters left: 4 (24 enodes) 1544000950.764 * * [misc]simplify: iters left: 3 (26 enodes) 1544000950.767 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1544000950.767 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1544000950.767 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1544000950.767 * * [misc]simplify: iters left: 6 (11 enodes) 1544000950.769 * * [misc]simplify: iters left: 5 (17 enodes) 1544000950.771 * * [misc]simplify: iters left: 4 (23 enodes) 1544000950.777 * * [misc]simplify: iters left: 3 (24 enodes) 1544000950.783 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1544000950.783 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1544000950.783 * * * * [misc]progress: [ 27 / 77 ] simplifiying candidate # 1544000950.784 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544000950.784 * * [misc]simplify: iters left: 6 (11 enodes) 1544000950.787 * * [misc]simplify: iters left: 5 (15 enodes) 1544000950.792 * * [misc]simplify: iters left: 4 (18 enodes) 1544000950.797 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544000950.797 * [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))))) 1544000950.797 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1544000950.797 * * [misc]simplify: iters left: 6 (11 enodes) 1544000950.800 * * [misc]simplify: iters left: 5 (14 enodes) 1544000950.805 * * [misc]simplify: iters left: 4 (17 enodes) 1544000950.810 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1544000950.810 * [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))))) 1544000950.810 * * * * [misc]progress: [ 28 / 77 ] simplifiying candidate # 1544000950.811 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544000950.811 * * [misc]simplify: iters left: 6 (10 enodes) 1544000950.814 * * [misc]simplify: iters left: 5 (12 enodes) 1544000950.817 * * [misc]simplify: iters left: 4 (15 enodes) 1544000950.821 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544000950.822 * [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))))) 1544000950.822 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544000950.822 * * [misc]simplify: iters left: 6 (11 enodes) 1544000950.825 * * [misc]simplify: iters left: 5 (14 enodes) 1544000950.828 * * [misc]simplify: iters left: 4 (17 enodes) 1544000950.830 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544000950.831 * [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))))) 1544000950.831 * * * * [misc]progress: [ 29 / 77 ] simplifiying candidate # 1544000950.831 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) 1) 1544000950.831 * * [misc]simplify: iters left: 6 (9 enodes) 1544000950.832 * * [misc]simplify: iters left: 5 (13 enodes) 1544000950.834 * * [misc]simplify: iters left: 4 (18 enodes) 1544000950.836 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1544000950.836 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544000950.837 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1544000950.837 * * [misc]simplify: iters left: 6 (10 enodes) 1544000950.838 * * [misc]simplify: iters left: 5 (13 enodes) 1544000950.840 * * [misc]simplify: iters left: 4 (16 enodes) 1544000950.842 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1544000950.842 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544000950.842 * * * * [misc]progress: [ 30 / 77 ] simplifiying candidate # 1544000950.842 * [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)))) 1544000950.842 * * [misc]simplify: iters left: 6 (16 enodes) 1544000950.845 * * [misc]simplify: iters left: 5 (28 enodes) 1544000950.849 * * [misc]simplify: iters left: 4 (46 enodes) 1544000950.855 * * [misc]simplify: iters left: 3 (50 enodes) 1544000950.861 * * [misc]simplify: iters left: 2 (53 enodes) 1544000950.868 * [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)))) 1544000950.868 * [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))))) 1544000950.868 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1544000950.868 * * [misc]simplify: iters left: 6 (14 enodes) 1544000950.870 * * [misc]simplify: iters left: 5 (20 enodes) 1544000950.873 * * [misc]simplify: iters left: 4 (29 enodes) 1544000950.876 * * [misc]simplify: iters left: 3 (30 enodes) 1544000950.881 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1544000950.881 * [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))))) 1544000950.881 * * * * [misc]progress: [ 31 / 77 ] simplifiying candidate # 1544000950.881 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1544000950.881 * * [misc]simplify: iters left: 6 (15 enodes) 1544000950.886 * * [misc]simplify: iters left: 5 (23 enodes) 1544000950.892 * * [misc]simplify: iters left: 4 (34 enodes) 1544000950.902 * * [misc]simplify: iters left: 3 (37 enodes) 1544000950.912 * [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)))))) 1544000950.912 * [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))))) 1544000950.913 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544000950.913 * * [misc]simplify: iters left: 6 (14 enodes) 1544000950.917 * * [misc]simplify: iters left: 5 (20 enodes) 1544000950.923 * * [misc]simplify: iters left: 4 (29 enodes) 1544000950.930 * * [misc]simplify: iters left: 3 (30 enodes) 1544000950.937 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544000950.937 * [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))))) 1544000950.937 * * * * [misc]progress: [ 32 / 77 ] simplifiying candidate # 1544000950.938 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1) 1544000950.938 * * [misc]simplify: iters left: 6 (14 enodes) 1544000950.942 * * [misc]simplify: iters left: 5 (24 enodes) 1544000950.949 * * [misc]simplify: iters left: 4 (39 enodes) 1544000950.959 * * [misc]simplify: iters left: 3 (54 enodes) 1544000950.973 * * [misc]simplify: iters left: 2 (80 enodes) 1544000950.993 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1544000950.993 * [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)))) 1544000950.994 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1544000950.994 * * [misc]simplify: iters left: 6 (13 enodes) 1544000950.998 * * [misc]simplify: iters left: 5 (19 enodes) 1544000951.003 * * [misc]simplify: iters left: 4 (28 enodes) 1544000951.011 * * [misc]simplify: iters left: 3 (30 enodes) 1544000951.018 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1544000951.018 * [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)))) 1544000951.018 * * * * [misc]progress: [ 33 / 77 ] simplifiying candidate # 1544000951.019 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544000951.019 * * [misc]simplify: iters left: 6 (15 enodes) 1544000951.023 * * [misc]simplify: iters left: 5 (23 enodes) 1544000951.030 * * [misc]simplify: iters left: 4 (32 enodes) 1544000951.039 * * [misc]simplify: iters left: 3 (34 enodes) 1544000951.045 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544000951.045 * [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))))) 1544000951.045 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1544000951.046 * * [misc]simplify: iters left: 6 (14 enodes) 1544000951.048 * * [misc]simplify: iters left: 5 (20 enodes) 1544000951.051 * * [misc]simplify: iters left: 4 (29 enodes) 1544000951.055 * * [misc]simplify: iters left: 3 (30 enodes) 1544000951.058 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1544000951.058 * [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))))) 1544000951.058 * * * * [misc]progress: [ 34 / 77 ] simplifiying candidate # 1544000951.059 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544000951.059 * * [misc]simplify: iters left: 6 (14 enodes) 1544000951.061 * * [misc]simplify: iters left: 5 (20 enodes) 1544000951.063 * * [misc]simplify: iters left: 4 (29 enodes) 1544000951.067 * * [misc]simplify: iters left: 3 (30 enodes) 1544000951.071 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544000951.071 * [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))))) 1544000951.071 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544000951.071 * * [misc]simplify: iters left: 6 (14 enodes) 1544000951.075 * * [misc]simplify: iters left: 5 (20 enodes) 1544000951.081 * * [misc]simplify: iters left: 4 (29 enodes) 1544000951.088 * * [misc]simplify: iters left: 3 (30 enodes) 1544000951.095 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544000951.095 * [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))))) 1544000951.095 * * * * [misc]progress: [ 35 / 77 ] simplifiying candidate # 1544000951.096 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1) 1544000951.096 * * [misc]simplify: iters left: 6 (13 enodes) 1544000951.100 * * [misc]simplify: iters left: 5 (21 enodes) 1544000951.103 * * [misc]simplify: iters left: 4 (32 enodes) 1544000951.106 * * [misc]simplify: iters left: 3 (33 enodes) 1544000951.110 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) 1544000951.110 * [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)))) 1544000951.110 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1544000951.111 * * [misc]simplify: iters left: 6 (13 enodes) 1544000951.112 * * [misc]simplify: iters left: 5 (19 enodes) 1544000951.115 * * [misc]simplify: iters left: 4 (28 enodes) 1544000951.119 * * [misc]simplify: iters left: 3 (30 enodes) 1544000951.122 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1544000951.122 * [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)))) 1544000951.122 * * * * [misc]progress: [ 36 / 77 ] simplifiying candidate # 1544000951.122 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544000951.123 * * [misc]simplify: iters left: 6 (6 enodes) 1544000951.123 * * [misc]simplify: iters left: 5 (10 enodes) 1544000951.125 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1544000951.125 * [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))))) 1544000951.125 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1544000951.125 * * [misc]simplify: iters left: 6 (13 enodes) 1544000951.127 * * [misc]simplify: iters left: 5 (19 enodes) 1544000951.130 * * [misc]simplify: iters left: 4 (28 enodes) 1544000951.133 * * [misc]simplify: iters left: 3 (30 enodes) 1544000951.140 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1544000951.140 * [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))))) 1544000951.140 * * * * [misc]progress: [ 37 / 77 ] simplifiying candidate # 1544000951.141 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1544000951.141 * * [misc]simplify: iters left: 4 (5 enodes) 1544000951.142 * * [misc]simplify: iters left: 3 (7 enodes) 1544000951.144 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1544000951.144 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1544000951.144 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544000951.144 * * [misc]simplify: iters left: 6 (13 enodes) 1544000951.146 * * [misc]simplify: iters left: 5 (19 enodes) 1544000951.148 * * [misc]simplify: iters left: 4 (28 enodes) 1544000951.152 * * [misc]simplify: iters left: 3 (30 enodes) 1544000951.155 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544000951.155 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1544000951.155 * * * * [misc]progress: [ 38 / 77 ] simplifiying candidate # 1544000951.156 * [enter]simplify: Simplifying (/ 1 1) 1544000951.156 * * [misc]simplify: iters left: 2 (2 enodes) 1544000951.156 * * [misc]simplify: iters left: 1 (4 enodes) 1544000951.156 * [exit]simplify: Simplified to 1 1544000951.156 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) 1544000951.157 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1544000951.157 * * [misc]simplify: iters left: 6 (12 enodes) 1544000951.158 * * [misc]simplify: iters left: 5 (18 enodes) 1544000951.161 * * [misc]simplify: iters left: 4 (27 enodes) 1544000951.164 * * [misc]simplify: iters left: 3 (29 enodes) 1544000951.168 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)) 1544000951.168 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1544000951.168 * * * * [misc]progress: [ 39 / 77 ] simplifiying candidate # 1544000951.168 * * * * [misc]progress: [ 40 / 77 ] simplifiying candidate # 1544000951.168 * * * * [misc]progress: [ 41 / 77 ] simplifiying candidate # 1544000951.168 * * * * [misc]progress: [ 42 / 77 ] simplifiying candidate # 1544000951.168 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1544000951.168 * * [misc]simplify: iters left: 2 (3 enodes) 1544000951.169 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1544000951.169 * [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)))) 1544000951.169 * * * * [misc]progress: [ 43 / 77 ] simplifiying candidate # 1544000951.169 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1544000951.169 * * [misc]simplify: iters left: 2 (3 enodes) 1544000951.169 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1544000951.169 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1544000951.169 * * * * [misc]progress: [ 44 / 77 ] simplifiying candidate # 1544000951.169 * [enter]simplify: Simplifying (sqrt k) 1544000951.169 * * [misc]simplify: iters left: 1 (2 enodes) 1544000951.170 * [exit]simplify: Simplified to (sqrt k) 1544000951.170 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt k))) 1544000951.170 * * * * [misc]progress: [ 45 / 77 ] simplifiying candidate # 1544000951.170 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1544000951.170 * * [misc]simplify: iters left: 5 (7 enodes) 1544000951.171 * * [misc]simplify: iters left: 4 (12 enodes) 1544000951.174 * * [misc]simplify: iters left: 3 (18 enodes) 1544000951.179 * * [misc]simplify: iters left: 2 (20 enodes) 1544000951.184 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1544000951.184 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1544000951.184 * * * * [misc]progress: [ 46 / 77 ] simplifiying candidate # 1544000951.184 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1544000951.184 * * [misc]simplify: iters left: 5 (7 enodes) 1544000951.186 * * [misc]simplify: iters left: 4 (12 enodes) 1544000951.189 * * [misc]simplify: iters left: 3 (18 enodes) 1544000951.194 * * [misc]simplify: iters left: 2 (20 enodes) 1544000951.199 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1544000951.199 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1544000951.199 * * * * [misc]progress: [ 47 / 77 ] simplifiying candidate # 1544000951.199 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1544000951.199 * * [misc]simplify: iters left: 5 (7 enodes) 1544000951.201 * * [misc]simplify: iters left: 4 (9 enodes) 1544000951.204 * * [misc]simplify: iters left: 3 (12 enodes) 1544000951.207 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1544000951.207 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544000951.207 * * * * [misc]progress: [ 48 / 77 ] simplifiying candidate # 1544000951.208 * [enter]simplify: Simplifying (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1544000951.208 * * [misc]simplify: iters left: 6 (12 enodes) 1544000951.211 * * [misc]simplify: iters left: 5 (18 enodes) 1544000951.214 * * [misc]simplify: iters left: 4 (27 enodes) 1544000951.217 * * [misc]simplify: iters left: 3 (29 enodes) 1544000951.221 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1544000951.221 * [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))))))) 1544000951.221 * * * * [misc]progress: [ 49 / 77 ] simplifiying candidate # 1544000951.221 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1544000951.221 * * [misc]simplify: iters left: 6 (11 enodes) 1544000951.223 * * [misc]simplify: iters left: 5 (17 enodes) 1544000951.225 * * [misc]simplify: iters left: 4 (26 enodes) 1544000951.228 * * [misc]simplify: iters left: 3 (27 enodes) 1544000951.232 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1544000951.232 * [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))))))) 1544000951.232 * * * * [misc]progress: [ 50 / 77 ] simplifiying candidate # 1544000951.232 * * * * [misc]progress: [ 51 / 77 ] simplifiying candidate # 1544000951.232 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1544000951.232 * * [misc]simplify: iters left: 5 (7 enodes) 1544000951.234 * * [misc]simplify: iters left: 4 (12 enodes) 1544000951.236 * * [misc]simplify: iters left: 3 (18 enodes) 1544000951.240 * * [misc]simplify: iters left: 2 (20 enodes) 1544000951.245 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1544000951.245 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) 1544000951.245 * * * * [misc]progress: [ 52 / 77 ] simplifiying candidate # 1544000951.246 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1544000951.246 * * [misc]simplify: iters left: 6 (11 enodes) 1544000951.249 * * [misc]simplify: iters left: 5 (21 enodes) 1544000951.256 * * [misc]simplify: iters left: 4 (47 enodes) 1544000951.272 * * [misc]simplify: iters left: 3 (109 enodes) 1544000951.311 * * [misc]simplify: iters left: 2 (300 enodes) 1544000951.548 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1544000951.548 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))) (sqrt k))) 1544000951.549 * * * * [misc]progress: [ 53 / 77 ] simplifiying candidate # 1544000951.549 * * * * [misc]progress: [ 54 / 77 ] simplifiying candidate # 1544000951.549 * [enter]simplify: Simplifying (* PI (* n 2)) 1544000951.549 * * [misc]simplify: iters left: 4 (5 enodes) 1544000951.551 * * [misc]simplify: iters left: 3 (9 enodes) 1544000951.553 * * [misc]simplify: iters left: 2 (15 enodes) 1544000951.557 * * [misc]simplify: iters left: 1 (17 enodes) 1544000951.561 * [exit]simplify: Simplified to (* (* 2 n) PI) 1544000951.561 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k))) 1544000951.561 * * * * [misc]progress: [ 55 / 77 ] simplifiying candidate # 1544000951.562 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1544000951.562 * * [misc]simplify: iters left: 5 (8 enodes) 1544000951.564 * * [misc]simplify: iters left: 4 (12 enodes) 1544000951.568 * * [misc]simplify: iters left: 3 (18 enodes) 1544000951.574 * * [misc]simplify: iters left: 2 (20 enodes) 1544000951.579 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1544000951.579 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2))) (sqrt k))) 1544000951.579 * * * * [misc]progress: [ 56 / 77 ] simplifiying candidate # 1544000951.579 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1544000951.579 * * [misc]simplify: iters left: 5 (6 enodes) 1544000951.581 * * [misc]simplify: iters left: 4 (8 enodes) 1544000951.583 * * [misc]simplify: iters left: 3 (11 enodes) 1544000951.586 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1544000951.586 * [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))) 1544000951.586 * * * * [misc]progress: [ 57 / 77 ] simplifiying candidate # 1544000951.586 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1544000951.586 * * [misc]simplify: iters left: 5 (6 enodes) 1544000951.588 * * [misc]simplify: iters left: 4 (8 enodes) 1544000951.589 * * [misc]simplify: iters left: 3 (11 enodes) 1544000951.590 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1544000951.590 * [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))) 1544000951.590 * * * * [misc]progress: [ 58 / 77 ] simplifiying candidate # 1544000951.590 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1544000951.590 * * [misc]simplify: iters left: 4 (5 enodes) 1544000951.591 * * [misc]simplify: iters left: 3 (7 enodes) 1544000951.592 * * [misc]simplify: iters left: 2 (10 enodes) 1544000951.593 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1544000951.593 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k))) 1544000951.593 * * * * [misc]progress: [ 59 / 77 ] simplifiying candidate # 1544000951.594 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1544000951.594 * * [misc]simplify: iters left: 5 (9 enodes) 1544000951.595 * * [misc]simplify: iters left: 4 (15 enodes) 1544000951.597 * * [misc]simplify: iters left: 3 (21 enodes) 1544000951.600 * * [misc]simplify: iters left: 2 (22 enodes) 1544000951.602 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1544000951.602 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1544000951.602 * * * * [misc]progress: [ 60 / 77 ] simplifiying candidate # 1544000951.602 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1544000951.602 * * [misc]simplify: iters left: 5 (9 enodes) 1544000951.604 * * [misc]simplify: iters left: 4 (15 enodes) 1544000951.606 * * [misc]simplify: iters left: 3 (21 enodes) 1544000951.608 * * [misc]simplify: iters left: 2 (22 enodes) 1544000951.611 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1544000951.611 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1544000951.611 * * * * [misc]progress: [ 61 / 77 ] simplifiying candidate # 1544000951.611 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1544000951.611 * * [misc]simplify: iters left: 5 (7 enodes) 1544000951.612 * * [misc]simplify: iters left: 4 (9 enodes) 1544000951.613 * * [misc]simplify: iters left: 3 (12 enodes) 1544000951.615 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1544000951.615 * [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))) 1544000951.615 * * * * [misc]progress: [ 62 / 77 ] simplifiying candidate # 1544000951.615 * * * * [misc]progress: [ 63 / 77 ] simplifiying candidate # 1544000951.615 * * * * [misc]progress: [ 64 / 77 ] simplifiying candidate # 1544000951.615 * * * * [misc]progress: [ 65 / 77 ] simplifiying candidate # 1544000951.615 * * * * [misc]progress: [ 66 / 77 ] simplifiying candidate # 1544000951.615 * * * * [misc]progress: [ 67 / 77 ] simplifiying candidate # 1544000951.615 * * * * [misc]progress: [ 68 / 77 ] simplifiying candidate # 1544000951.615 * * * * [misc]progress: [ 69 / 77 ] simplifiying candidate # 1544000951.616 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544000951.616 * * [misc]simplify: iters left: 4 (5 enodes) 1544000951.617 * * [misc]simplify: iters left: 3 (9 enodes) 1544000951.620 * * [misc]simplify: iters left: 2 (15 enodes) 1544000951.624 * * [misc]simplify: iters left: 1 (17 enodes) 1544000951.628 * [exit]simplify: Simplified to (* (* PI n) 2) 1544000951.628 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1544000951.628 * * * * [misc]progress: [ 70 / 77 ] simplifiying candidate # 1544000951.628 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544000951.628 * * [misc]simplify: iters left: 4 (5 enodes) 1544000951.630 * * [misc]simplify: iters left: 3 (9 enodes) 1544000951.633 * * [misc]simplify: iters left: 2 (15 enodes) 1544000951.637 * * [misc]simplify: iters left: 1 (17 enodes) 1544000951.641 * [exit]simplify: Simplified to (* (* PI n) 2) 1544000951.641 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1544000951.641 * * * * [misc]progress: [ 71 / 77 ] simplifiying candidate # 1544000951.641 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544000951.641 * * [misc]simplify: iters left: 4 (5 enodes) 1544000951.643 * * [misc]simplify: iters left: 3 (9 enodes) 1544000951.645 * * [misc]simplify: iters left: 2 (15 enodes) 1544000951.650 * * [misc]simplify: iters left: 1 (17 enodes) 1544000951.654 * [exit]simplify: Simplified to (* (* PI n) 2) 1544000951.654 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1544000951.654 * * * * [misc]progress: [ 72 / 77 ] simplifiying candidate # 1544000951.654 * [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)))))))))))))))))))))) 1544000951.654 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544000951.654 * * * * [misc]progress: [ 73 / 77 ] simplifiying candidate # 1544000951.655 * [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)))))))) 1544000951.655 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544000951.655 * * * * [misc]progress: [ 74 / 77 ] simplifiying candidate # 1544000951.655 * [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))))))))))) 1544000951.655 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544000951.655 * * * * [misc]progress: [ 75 / 77 ] simplifiying candidate # 1544000951.655 * [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))))) 1544000951.656 * * [misc]simplify: iters left: 6 (37 enodes) 1544000951.672 * * [misc]simplify: iters left: 5 (105 enodes) 1544000951.715 * * [misc]simplify: iters left: 4 (339 enodes) 1544000951.915 * [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))))) 1544000951.916 * [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))) 1544000951.916 * * * * [misc]progress: [ 76 / 77 ] simplifiying candidate # 1544000951.916 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1544000951.916 * * [misc]simplify: iters left: 6 (15 enodes) 1544000951.919 * * [misc]simplify: iters left: 5 (33 enodes) 1544000951.924 * * [misc]simplify: iters left: 4 (64 enodes) 1544000951.936 * * [misc]simplify: iters left: 3 (171 enodes) 1544000952.063 * [exit]simplify: Simplified to (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k)))) 1544000952.063 * [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))) 1544000952.063 * * * * [misc]progress: [ 77 / 77 ] simplifiying candidate # 1544000952.064 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1544000952.064 * * [misc]simplify: iters left: 6 (15 enodes) 1544000952.070 * * [misc]simplify: iters left: 5 (30 enodes) 1544000952.081 * * [misc]simplify: iters left: 4 (65 enodes) 1544000952.107 * * [misc]simplify: iters left: 3 (200 enodes) 1544000952.242 * [exit]simplify: Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n)))) 1544000952.242 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n)))) (sqrt k))) 1544000952.242 * * * [misc]progress: adding candidates to table 1544000953.031 * * [misc]progress: iteration 2 / 4 1544000953.032 * * * [misc]progress: picking best candidate 1544000953.085 * * * * [misc]pick: Picked # 1544000953.085 * * * [misc]progress: localizing error 1544000953.110 * * * [misc]progress: generating rewritten candidates 1544000953.110 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1) 1544000953.114 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 1) 1544000953.119 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) 1544000953.144 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) 1544000953.158 * * * [misc]progress: generating series expansions 1544000953.158 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1) 1544000953.159 * [misc]backup-simplify: Simplify (* (* PI 2) n) into (* 2 (* n PI)) 1544000953.159 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1544000953.159 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544000953.159 * [misc]taylor: Taking taylor expansion of 2 in n 1544000953.159 * [misc]backup-simplify: Simplify 2 into 2 1544000953.159 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544000953.159 * [misc]taylor: Taking taylor expansion of n in n 1544000953.159 * [misc]backup-simplify: Simplify 0 into 0 1544000953.159 * [misc]backup-simplify: Simplify 1 into 1 1544000953.159 * [misc]taylor: Taking taylor expansion of PI in n 1544000953.159 * [misc]backup-simplify: Simplify PI into PI 1544000953.159 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544000953.159 * [misc]taylor: Taking taylor expansion of 2 in n 1544000953.159 * [misc]backup-simplify: Simplify 2 into 2 1544000953.159 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544000953.159 * [misc]taylor: Taking taylor expansion of n in n 1544000953.159 * [misc]backup-simplify: Simplify 0 into 0 1544000953.159 * [misc]backup-simplify: Simplify 1 into 1 1544000953.159 * [misc]taylor: Taking taylor expansion of PI in n 1544000953.159 * [misc]backup-simplify: Simplify PI into PI 1544000953.160 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544000953.160 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544000953.160 * [misc]backup-simplify: Simplify 0 into 0 1544000953.161 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544000953.161 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544000953.162 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544000953.163 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544000953.164 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1544000953.164 * [misc]backup-simplify: Simplify 0 into 0 1544000953.165 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1544000953.167 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1544000953.167 * [misc]backup-simplify: Simplify 0 into 0 1544000953.169 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544000953.171 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1544000953.171 * [misc]backup-simplify: Simplify 0 into 0 1544000953.174 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544000953.176 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1544000953.176 * [misc]backup-simplify: Simplify 0 into 0 1544000953.178 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544000953.180 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1544000953.180 * [misc]backup-simplify: Simplify 0 into 0 1544000953.182 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1544000953.185 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1544000953.185 * [misc]backup-simplify: Simplify 0 into 0 1544000953.185 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1544000953.185 * [misc]backup-simplify: Simplify (* (* PI 2) (/ 1 n)) into (* 2 (/ PI n)) 1544000953.185 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1544000953.185 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544000953.185 * [misc]taylor: Taking taylor expansion of 2 in n 1544000953.185 * [misc]backup-simplify: Simplify 2 into 2 1544000953.185 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544000953.185 * [misc]taylor: Taking taylor expansion of PI in n 1544000953.185 * [misc]backup-simplify: Simplify PI into PI 1544000953.185 * [misc]taylor: Taking taylor expansion of n in n 1544000953.185 * [misc]backup-simplify: Simplify 0 into 0 1544000953.186 * [misc]backup-simplify: Simplify 1 into 1 1544000953.186 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544000953.186 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544000953.186 * [misc]taylor: Taking taylor expansion of 2 in n 1544000953.186 * [misc]backup-simplify: Simplify 2 into 2 1544000953.186 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544000953.186 * [misc]taylor: Taking taylor expansion of PI in n 1544000953.186 * [misc]backup-simplify: Simplify PI into PI 1544000953.186 * [misc]taylor: Taking taylor expansion of n in n 1544000953.186 * [misc]backup-simplify: Simplify 0 into 0 1544000953.186 * [misc]backup-simplify: Simplify 1 into 1 1544000953.186 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544000953.186 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544000953.186 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544000953.187 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544000953.187 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544000953.187 * [misc]backup-simplify: Simplify 0 into 0 1544000953.188 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000953.189 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544000953.189 * [misc]backup-simplify: Simplify 0 into 0 1544000953.190 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000953.191 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544000953.191 * [misc]backup-simplify: Simplify 0 into 0 1544000953.192 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000953.193 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544000953.193 * [misc]backup-simplify: Simplify 0 into 0 1544000953.194 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000953.196 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544000953.196 * [misc]backup-simplify: Simplify 0 into 0 1544000953.197 * [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 1544000953.199 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544000953.199 * [misc]backup-simplify: Simplify 0 into 0 1544000953.199 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1544000953.200 * [misc]backup-simplify: Simplify (* (* PI 2) (/ 1 (- n))) into (* -2 (/ PI n)) 1544000953.200 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1544000953.200 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544000953.200 * [misc]taylor: Taking taylor expansion of -2 in n 1544000953.200 * [misc]backup-simplify: Simplify -2 into -2 1544000953.200 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544000953.200 * [misc]taylor: Taking taylor expansion of PI in n 1544000953.200 * [misc]backup-simplify: Simplify PI into PI 1544000953.200 * [misc]taylor: Taking taylor expansion of n in n 1544000953.200 * [misc]backup-simplify: Simplify 0 into 0 1544000953.200 * [misc]backup-simplify: Simplify 1 into 1 1544000953.200 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544000953.200 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544000953.200 * [misc]taylor: Taking taylor expansion of -2 in n 1544000953.200 * [misc]backup-simplify: Simplify -2 into -2 1544000953.200 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544000953.200 * [misc]taylor: Taking taylor expansion of PI in n 1544000953.200 * [misc]backup-simplify: Simplify PI into PI 1544000953.200 * [misc]taylor: Taking taylor expansion of n in n 1544000953.200 * [misc]backup-simplify: Simplify 0 into 0 1544000953.200 * [misc]backup-simplify: Simplify 1 into 1 1544000953.200 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544000953.200 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544000953.201 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544000953.201 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544000953.202 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1544000953.202 * [misc]backup-simplify: Simplify 0 into 0 1544000953.202 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000953.203 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1544000953.203 * [misc]backup-simplify: Simplify 0 into 0 1544000953.204 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000953.205 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544000953.205 * [misc]backup-simplify: Simplify 0 into 0 1544000953.206 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000953.207 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544000953.207 * [misc]backup-simplify: Simplify 0 into 0 1544000953.209 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000953.212 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544000953.212 * [misc]backup-simplify: Simplify 0 into 0 1544000953.215 * [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 1544000953.218 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544000953.218 * [misc]backup-simplify: Simplify 0 into 0 1544000953.218 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1544000953.218 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 1) 1544000953.219 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1544000953.219 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1544000953.219 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544000953.219 * [misc]taylor: Taking taylor expansion of 2 in n 1544000953.219 * [misc]backup-simplify: Simplify 2 into 2 1544000953.219 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544000953.219 * [misc]taylor: Taking taylor expansion of n in n 1544000953.219 * [misc]backup-simplify: Simplify 0 into 0 1544000953.219 * [misc]backup-simplify: Simplify 1 into 1 1544000953.219 * [misc]taylor: Taking taylor expansion of PI in n 1544000953.219 * [misc]backup-simplify: Simplify PI into PI 1544000953.219 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544000953.219 * [misc]taylor: Taking taylor expansion of 2 in n 1544000953.219 * [misc]backup-simplify: Simplify 2 into 2 1544000953.219 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544000953.219 * [misc]taylor: Taking taylor expansion of n in n 1544000953.219 * [misc]backup-simplify: Simplify 0 into 0 1544000953.219 * [misc]backup-simplify: Simplify 1 into 1 1544000953.219 * [misc]taylor: Taking taylor expansion of PI in n 1544000953.219 * [misc]backup-simplify: Simplify PI into PI 1544000953.220 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544000953.220 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544000953.220 * [misc]backup-simplify: Simplify 0 into 0 1544000953.220 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544000953.221 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544000953.221 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544000953.222 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544000953.223 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1544000953.224 * [misc]backup-simplify: Simplify 0 into 0 1544000953.225 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1544000953.227 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1544000953.227 * [misc]backup-simplify: Simplify 0 into 0 1544000953.228 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544000953.229 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1544000953.229 * [misc]backup-simplify: Simplify 0 into 0 1544000953.231 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544000953.232 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1544000953.232 * [misc]backup-simplify: Simplify 0 into 0 1544000953.235 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544000953.236 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1544000953.237 * [misc]backup-simplify: Simplify 0 into 0 1544000953.239 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1544000953.242 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1544000953.242 * [misc]backup-simplify: Simplify 0 into 0 1544000953.243 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1544000953.243 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1544000953.243 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1544000953.243 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544000953.243 * [misc]taylor: Taking taylor expansion of 2 in n 1544000953.243 * [misc]backup-simplify: Simplify 2 into 2 1544000953.243 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544000953.243 * [misc]taylor: Taking taylor expansion of PI in n 1544000953.243 * [misc]backup-simplify: Simplify PI into PI 1544000953.243 * [misc]taylor: Taking taylor expansion of n in n 1544000953.243 * [misc]backup-simplify: Simplify 0 into 0 1544000953.243 * [misc]backup-simplify: Simplify 1 into 1 1544000953.243 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544000953.243 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544000953.243 * [misc]taylor: Taking taylor expansion of 2 in n 1544000953.243 * [misc]backup-simplify: Simplify 2 into 2 1544000953.243 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544000953.243 * [misc]taylor: Taking taylor expansion of PI in n 1544000953.243 * [misc]backup-simplify: Simplify PI into PI 1544000953.243 * [misc]taylor: Taking taylor expansion of n in n 1544000953.243 * [misc]backup-simplify: Simplify 0 into 0 1544000953.243 * [misc]backup-simplify: Simplify 1 into 1 1544000953.243 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544000953.244 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544000953.244 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544000953.244 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544000953.245 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544000953.245 * [misc]backup-simplify: Simplify 0 into 0 1544000953.246 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000953.246 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544000953.246 * [misc]backup-simplify: Simplify 0 into 0 1544000953.247 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000953.248 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544000953.248 * [misc]backup-simplify: Simplify 0 into 0 1544000953.249 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000953.250 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544000953.250 * [misc]backup-simplify: Simplify 0 into 0 1544000953.252 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000953.253 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544000953.253 * [misc]backup-simplify: Simplify 0 into 0 1544000953.255 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000953.256 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544000953.256 * [misc]backup-simplify: Simplify 0 into 0 1544000953.257 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1544000953.257 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1544000953.257 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1544000953.257 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544000953.257 * [misc]taylor: Taking taylor expansion of -2 in n 1544000953.257 * [misc]backup-simplify: Simplify -2 into -2 1544000953.257 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544000953.257 * [misc]taylor: Taking taylor expansion of PI in n 1544000953.257 * [misc]backup-simplify: Simplify PI into PI 1544000953.257 * [misc]taylor: Taking taylor expansion of n in n 1544000953.257 * [misc]backup-simplify: Simplify 0 into 0 1544000953.257 * [misc]backup-simplify: Simplify 1 into 1 1544000953.257 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544000953.257 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544000953.257 * [misc]taylor: Taking taylor expansion of -2 in n 1544000953.257 * [misc]backup-simplify: Simplify -2 into -2 1544000953.257 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544000953.257 * [misc]taylor: Taking taylor expansion of PI in n 1544000953.257 * [misc]backup-simplify: Simplify PI into PI 1544000953.257 * [misc]taylor: Taking taylor expansion of n in n 1544000953.257 * [misc]backup-simplify: Simplify 0 into 0 1544000953.257 * [misc]backup-simplify: Simplify 1 into 1 1544000953.257 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544000953.258 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544000953.258 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544000953.258 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544000953.259 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1544000953.259 * [misc]backup-simplify: Simplify 0 into 0 1544000953.260 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000953.261 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1544000953.261 * [misc]backup-simplify: Simplify 0 into 0 1544000953.262 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000953.264 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544000953.264 * [misc]backup-simplify: Simplify 0 into 0 1544000953.266 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000953.268 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544000953.268 * [misc]backup-simplify: Simplify 0 into 0 1544000953.270 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000953.273 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544000953.273 * [misc]backup-simplify: Simplify 0 into 0 1544000953.275 * [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 1544000953.279 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544000953.279 * [misc]backup-simplify: Simplify 0 into 0 1544000953.279 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1544000953.279 * * * * [misc]progress: [ 3 / 4 ] generating series at (2) 1544000953.280 * [misc]backup-simplify: Simplify (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))) into (* (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) (sqrt (/ (* n PI) k))) 1544000953.280 * [misc]approximate: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) (sqrt (/ (* n PI) k))) in (n k) around 0 1544000953.280 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) (sqrt (/ (* n PI) k))) in k 1544000953.280 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) in k 1544000953.280 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1544000953.280 * [misc]taylor: Taking taylor expansion of 2 in k 1544000953.280 * [misc]backup-simplify: Simplify 2 into 2 1544000953.281 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544000953.281 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544000953.281 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- (* 1/2 k))) in k 1544000953.281 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 (* n PI))))) in k 1544000953.281 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 (* n PI)))) in k 1544000953.281 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in k 1544000953.281 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544000953.281 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544000953.281 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000953.281 * [misc]taylor: Taking taylor expansion of k in k 1544000953.281 * [misc]backup-simplify: Simplify 0 into 0 1544000953.281 * [misc]backup-simplify: Simplify 1 into 1 1544000953.281 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1544000953.281 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1544000953.281 * [misc]taylor: Taking taylor expansion of 2 in k 1544000953.281 * [misc]backup-simplify: Simplify 2 into 2 1544000953.281 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1544000953.281 * [misc]taylor: Taking taylor expansion of n in k 1544000953.281 * [misc]backup-simplify: Simplify n into n 1544000953.281 * [misc]taylor: Taking taylor expansion of PI in k 1544000953.281 * [misc]backup-simplify: Simplify PI into PI 1544000953.281 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1544000953.281 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1544000953.282 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1544000953.282 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544000953.282 * [misc]backup-simplify: Simplify (- 0) into 0 1544000953.282 * [misc]backup-simplify: Simplify (* 0 (log (* 2 (* n PI)))) into 0 1544000953.282 * [misc]backup-simplify: Simplify (- 0) into 0 1544000953.282 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1544000953.283 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1544000953.284 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1544000953.284 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544000953.284 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544000953.285 * [misc]backup-simplify: Simplify (+ (* 0 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 1544000953.285 * [misc]backup-simplify: Simplify (exp 0) into 1 1544000953.285 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* n PI) k)) in k 1544000953.285 * [misc]taylor: Taking taylor expansion of (/ (* n PI) k) in k 1544000953.285 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1544000953.285 * [misc]taylor: Taking taylor expansion of n in k 1544000953.285 * [misc]backup-simplify: Simplify n into n 1544000953.285 * [misc]taylor: Taking taylor expansion of PI in k 1544000953.285 * [misc]backup-simplify: Simplify PI into PI 1544000953.285 * [misc]taylor: Taking taylor expansion of k in k 1544000953.285 * [misc]backup-simplify: Simplify 0 into 0 1544000953.285 * [misc]backup-simplify: Simplify 1 into 1 1544000953.285 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1544000953.285 * [misc]backup-simplify: Simplify (/ (* n PI) 1) into (* n PI) 1544000953.285 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544000953.285 * [misc]backup-simplify: Simplify (/ (* n PI) (* 2 (sqrt 0))) into (* +nan.0 (* n PI)) 1544000953.286 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) (sqrt (/ (* n PI) k))) in n 1544000953.286 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) in n 1544000953.286 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544000953.286 * [misc]taylor: Taking taylor expansion of 2 in n 1544000953.286 * [misc]backup-simplify: Simplify 2 into 2 1544000953.286 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544000953.286 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544000953.286 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- (* 1/2 k))) in n 1544000953.286 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 (* n PI))))) in n 1544000953.286 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 (* n PI)))) in n 1544000953.286 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in n 1544000953.286 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544000953.286 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544000953.286 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000953.286 * [misc]taylor: Taking taylor expansion of k in n 1544000953.286 * [misc]backup-simplify: Simplify k into k 1544000953.286 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544000953.286 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544000953.286 * [misc]taylor: Taking taylor expansion of 2 in n 1544000953.286 * [misc]backup-simplify: Simplify 2 into 2 1544000953.286 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544000953.287 * [misc]taylor: Taking taylor expansion of n in n 1544000953.287 * [misc]backup-simplify: Simplify 0 into 0 1544000953.287 * [misc]backup-simplify: Simplify 1 into 1 1544000953.287 * [misc]taylor: Taking taylor expansion of PI in n 1544000953.287 * [misc]backup-simplify: Simplify PI into PI 1544000953.287 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544000953.287 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544000953.288 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544000953.288 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544000953.288 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544000953.288 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544000953.288 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544000953.289 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544000953.289 * [misc]backup-simplify: Simplify (* (- (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* -1/2 (* (+ (log n) (log (* 2 PI))) k)) 1544000953.289 * [misc]backup-simplify: Simplify (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) into (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) 1544000953.290 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* n PI) k)) in n 1544000953.290 * [misc]taylor: Taking taylor expansion of (/ (* n PI) k) in n 1544000953.290 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544000953.290 * [misc]taylor: Taking taylor expansion of n in n 1544000953.290 * [misc]backup-simplify: Simplify 0 into 0 1544000953.290 * [misc]backup-simplify: Simplify 1 into 1 1544000953.290 * [misc]taylor: Taking taylor expansion of PI in n 1544000953.290 * [misc]backup-simplify: Simplify PI into PI 1544000953.290 * [misc]taylor: Taking taylor expansion of k in n 1544000953.290 * [misc]backup-simplify: Simplify k into k 1544000953.290 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544000953.290 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544000953.290 * [misc]backup-simplify: Simplify (/ PI k) into (/ PI k) 1544000953.290 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544000953.290 * [misc]backup-simplify: Simplify (/ (/ PI k) (* 2 (sqrt 0))) into (* +nan.0 (/ PI k)) 1544000953.290 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) (sqrt (/ (* n PI) k))) in n 1544000953.291 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) in n 1544000953.291 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544000953.291 * [misc]taylor: Taking taylor expansion of 2 in n 1544000953.291 * [misc]backup-simplify: Simplify 2 into 2 1544000953.291 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544000953.291 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544000953.291 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- (* 1/2 k))) in n 1544000953.291 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 (* n PI))))) in n 1544000953.291 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 (* n PI)))) in n 1544000953.291 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in n 1544000953.291 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544000953.291 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544000953.291 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000953.291 * [misc]taylor: Taking taylor expansion of k in n 1544000953.291 * [misc]backup-simplify: Simplify k into k 1544000953.291 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544000953.291 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544000953.291 * [misc]taylor: Taking taylor expansion of 2 in n 1544000953.291 * [misc]backup-simplify: Simplify 2 into 2 1544000953.291 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544000953.291 * [misc]taylor: Taking taylor expansion of n in n 1544000953.291 * [misc]backup-simplify: Simplify 0 into 0 1544000953.291 * [misc]backup-simplify: Simplify 1 into 1 1544000953.291 * [misc]taylor: Taking taylor expansion of PI in n 1544000953.291 * [misc]backup-simplify: Simplify PI into PI 1544000953.291 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544000953.291 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544000953.292 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544000953.292 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544000953.292 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544000953.292 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544000953.293 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544000953.293 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544000953.293 * [misc]backup-simplify: Simplify (* (- (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* -1/2 (* (+ (log n) (log (* 2 PI))) k)) 1544000953.294 * [misc]backup-simplify: Simplify (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) into (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) 1544000953.294 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* n PI) k)) in n 1544000953.294 * [misc]taylor: Taking taylor expansion of (/ (* n PI) k) in n 1544000953.294 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544000953.294 * [misc]taylor: Taking taylor expansion of n in n 1544000953.294 * [misc]backup-simplify: Simplify 0 into 0 1544000953.294 * [misc]backup-simplify: Simplify 1 into 1 1544000953.294 * [misc]taylor: Taking taylor expansion of PI in n 1544000953.294 * [misc]backup-simplify: Simplify PI into PI 1544000953.294 * [misc]taylor: Taking taylor expansion of k in n 1544000953.294 * [misc]backup-simplify: Simplify k into k 1544000953.294 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544000953.294 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544000953.294 * [misc]backup-simplify: Simplify (/ PI k) into (/ PI k) 1544000953.294 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544000953.295 * [misc]backup-simplify: Simplify (/ (/ PI k) (* 2 (sqrt 0))) into (* +nan.0 (/ PI k)) 1544000953.295 * [misc]backup-simplify: Simplify (* (sqrt 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))) into (* (sqrt 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))) 1544000953.296 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))) 0) into 0 1544000953.296 * [misc]taylor: Taking taylor expansion of 0 in k 1544000953.296 * [misc]backup-simplify: Simplify 0 into 0 1544000953.296 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544000953.296 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544000953.297 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1544000953.299 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544000953.299 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1544000953.299 * [misc]backup-simplify: Simplify (- 0) into 0 1544000953.299 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544000953.300 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1544000953.301 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1544000953.301 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) into 0 1544000953.302 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))) (* +nan.0 (/ PI k))) (* 0 0)) into (- (* +nan.0 (/ (* (sqrt 2) (* PI (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) k))) 1544000953.302 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (* PI (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) k))) in k 1544000953.302 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (* PI (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) k)) in k 1544000953.302 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1544000953.302 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544000953.302 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt 2) (* PI (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) k) in k 1544000953.302 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* PI (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) in k 1544000953.302 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1544000953.302 * [misc]taylor: Taking taylor expansion of 2 in k 1544000953.302 * [misc]backup-simplify: Simplify 2 into 2 1544000953.302 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544000953.302 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544000953.302 * [misc]taylor: Taking taylor expansion of (* PI (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))) in k 1544000953.302 * [misc]taylor: Taking taylor expansion of PI in k 1544000953.302 * [misc]backup-simplify: Simplify PI into PI 1544000953.302 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) in k 1544000953.302 * [misc]taylor: Taking taylor expansion of (* -1/2 (* (+ (log n) (log (* 2 PI))) k)) in k 1544000953.302 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544000953.302 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544000953.303 * [misc]taylor: Taking taylor expansion of (* (+ (log n) (log (* 2 PI))) k) in k 1544000953.303 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1544000953.303 * [misc]taylor: Taking taylor expansion of (log n) in k 1544000953.303 * [misc]taylor: Taking taylor expansion of n in k 1544000953.303 * [misc]backup-simplify: Simplify n into n 1544000953.303 * [misc]backup-simplify: Simplify (log n) into (log n) 1544000953.303 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544000953.303 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544000953.303 * [misc]taylor: Taking taylor expansion of 2 in k 1544000953.303 * [misc]backup-simplify: Simplify 2 into 2 1544000953.303 * [misc]taylor: Taking taylor expansion of PI in k 1544000953.303 * [misc]backup-simplify: Simplify PI into PI 1544000953.303 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544000953.303 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544000953.303 * [misc]taylor: Taking taylor expansion of k in k 1544000953.303 * [misc]backup-simplify: Simplify 0 into 0 1544000953.303 * [misc]backup-simplify: Simplify 1 into 1 1544000953.304 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544000953.304 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) 0) into 0 1544000953.304 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1544000953.304 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1544000953.305 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544000953.307 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544000953.307 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544000953.307 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 1) (* 0 0)) into (+ (log n) (log (* 2 PI))) 1544000953.307 * [misc]backup-simplify: Simplify (+ (* -1/2 (+ (log n) (log (* 2 PI)))) (* 0 0)) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1544000953.308 * [misc]backup-simplify: Simplify (exp 0) into 1 1544000953.308 * [misc]taylor: Taking taylor expansion of k in k 1544000953.308 * [misc]backup-simplify: Simplify 0 into 0 1544000953.308 * [misc]backup-simplify: Simplify 1 into 1 1544000953.308 * [misc]backup-simplify: Simplify (* PI 1) into PI 1544000953.308 * [misc]backup-simplify: Simplify (* (sqrt 2) PI) into (* (sqrt 2) PI) 1544000953.308 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) PI) 1) into (* (sqrt 2) PI) 1544000953.309 * [misc]backup-simplify: Simplify (* +nan.0 (* (sqrt 2) PI)) into (* +nan.0 (* (sqrt 2) PI)) 1544000953.309 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1544000953.310 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1544000953.310 * [misc]backup-simplify: Simplify 0 into 0 1544000953.311 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544000953.311 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ PI k) (/ 0 k)))) into 0 1544000953.311 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (/ PI k)) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow PI 2) (pow k 2))) 1544000953.311 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544000953.312 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1544000953.313 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1544000953.316 * [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 1544000953.316 * [misc]backup-simplify: Simplify (- 0) into 0 1544000953.316 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1544000953.316 * [misc]backup-simplify: Simplify (- 0) into 0 1544000953.317 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544000953.317 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1544000953.319 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544000953.319 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1544000953.320 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))))) into 0 1544000953.322 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))) (* +nan.0 (/ (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (/ PI k))) (* 0 0))) into (- (* +nan.0 (/ (* (sqrt 2) (* (pow PI 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) (pow k 2)))) 1544000953.322 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (* (pow PI 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) (pow k 2)))) in k 1544000953.322 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (* (pow PI 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) (pow k 2))) in k 1544000953.322 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1544000953.322 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544000953.322 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt 2) (* (pow PI 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) (pow k 2)) in k 1544000953.322 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) in k 1544000953.322 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1544000953.322 * [misc]taylor: Taking taylor expansion of 2 in k 1544000953.322 * [misc]backup-simplify: Simplify 2 into 2 1544000953.322 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544000953.323 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544000953.323 * [misc]taylor: Taking taylor expansion of (* (pow PI 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))) in k 1544000953.323 * [misc]taylor: Taking taylor expansion of (pow PI 2) in k 1544000953.323 * [misc]taylor: Taking taylor expansion of PI in k 1544000953.323 * [misc]backup-simplify: Simplify PI into PI 1544000953.323 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) in k 1544000953.323 * [misc]taylor: Taking taylor expansion of (* -1/2 (* (+ (log n) (log (* 2 PI))) k)) in k 1544000953.323 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544000953.323 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544000953.323 * [misc]taylor: Taking taylor expansion of (* (+ (log n) (log (* 2 PI))) k) in k 1544000953.323 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1544000953.323 * [misc]taylor: Taking taylor expansion of (log n) in k 1544000953.323 * [misc]taylor: Taking taylor expansion of n in k 1544000953.323 * [misc]backup-simplify: Simplify n into n 1544000953.323 * [misc]backup-simplify: Simplify (log n) into (log n) 1544000953.323 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544000953.323 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544000953.323 * [misc]taylor: Taking taylor expansion of 2 in k 1544000953.323 * [misc]backup-simplify: Simplify 2 into 2 1544000953.323 * [misc]taylor: Taking taylor expansion of PI in k 1544000953.323 * [misc]backup-simplify: Simplify PI into PI 1544000953.323 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544000953.324 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544000953.324 * [misc]taylor: Taking taylor expansion of k in k 1544000953.324 * [misc]backup-simplify: Simplify 0 into 0 1544000953.324 * [misc]backup-simplify: Simplify 1 into 1 1544000953.325 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544000953.325 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) 0) into 0 1544000953.325 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1544000953.326 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1544000953.327 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544000953.329 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544000953.329 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544000953.330 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 1) (* 0 0)) into (+ (log n) (log (* 2 PI))) 1544000953.331 * [misc]backup-simplify: Simplify (+ (* -1/2 (+ (log n) (log (* 2 PI)))) (* 0 0)) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1544000953.331 * [misc]backup-simplify: Simplify (exp 0) into 1 1544000953.331 * [misc]taylor: Taking taylor expansion of (pow k 2) in k 1544000953.331 * [misc]taylor: Taking taylor expansion of k in k 1544000953.331 * [misc]backup-simplify: Simplify 0 into 0 1544000953.331 * [misc]backup-simplify: Simplify 1 into 1 1544000953.331 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1544000953.332 * [misc]backup-simplify: Simplify (* (pow PI 2) 1) into (pow PI 2) 1544000953.332 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2)) 1544000953.333 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544000953.334 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) (pow PI 2)) 1) into (* (sqrt 2) (pow PI 2)) 1544000953.335 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1544000953.335 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 1544000953.337 * [misc]backup-simplify: Simplify (+ (* (pow PI 2) (* -1 (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))))) (* 0 1)) into (- (+ (* 1/2 (* (pow PI 2) (log (* 2 PI)))) (* 1/2 (* (pow PI 2) (log n))))) 1544000953.339 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (- (+ (* 1/2 (* (pow PI 2) (log (* 2 PI)))) (* 1/2 (* (pow PI 2) (log n)))))) (* 0 (pow PI 2))) into (- (+ (* 1/2 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (* 1/2 (* (sqrt 2) (* (pow PI 2) (log n)))))) 1544000953.339 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1544000953.344 * [misc]backup-simplify: Simplify (- (/ (- (+ (* 1/2 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (* 1/2 (* (sqrt 2) (* (pow PI 2) (log n)))))) 1) (+ (* (* (sqrt 2) (pow PI 2)) (/ 0 1)))) into (- (+ (* 1/2 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (* 1/2 (* (sqrt 2) (* (pow PI 2) (log n)))))) 1544000953.348 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* 1/2 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (* 1/2 (* (sqrt 2) (* (pow PI 2) (log n))))))) (* 0 (* (sqrt 2) (pow PI 2)))) into (- (+ (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (- (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log n))))))) 1544000953.351 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (- (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log n)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (- (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log n))))))) 1544000953.353 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (- (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log n))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (- (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log n))))))) 1544000953.353 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1544000953.354 * [misc]backup-simplify: Simplify (+ (* PI (* -1 (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))))) (* 0 1)) into (- (+ (* 1/2 (* PI (log (* 2 PI)))) (* 1/2 (* PI (log n))))) 1544000953.355 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (- (+ (* 1/2 (* PI (log (* 2 PI)))) (* 1/2 (* PI (log n)))))) (* 0 PI)) into (- (+ (* 1/2 (* (sqrt 2) (* PI (log n)))) (* 1/2 (* (sqrt 2) (* PI (log (* 2 PI))))))) 1544000953.357 * [misc]backup-simplify: Simplify (- (/ (- (+ (* 1/2 (* (sqrt 2) (* PI (log n)))) (* 1/2 (* (sqrt 2) (* PI (log (* 2 PI))))))) 1) (+ (* (* (sqrt 2) PI) (/ 0 1)))) into (- (+ (* 1/2 (* (sqrt 2) (* PI (log n)))) (* 1/2 (* (sqrt 2) (* PI (log (* 2 PI))))))) 1544000953.358 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* 1/2 (* (sqrt 2) (* PI (log n)))) (* 1/2 (* (sqrt 2) (* PI (log (* 2 PI)))))))) (* 0 (* (sqrt 2) PI))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 1544000953.361 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 1544000953.362 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 1544000953.366 * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) (* 1 n)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (- (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log n))))))) (* (/ 1 k) (pow n 2))) (* (- (* +nan.0 (* (sqrt 2) PI))) (* (/ 1 k) n)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* n PI)) k)) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (log (* 2 PI)))))) (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow n 2) (* (pow PI 2) (log n)))) k)) (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow n 2) (* (pow PI 2) (log (* 2 PI))))) k)) (- (* +nan.0 (* (sqrt 2) (* n (* PI (log n)))))))))))))) 1544000953.367 * [misc]backup-simplify: Simplify (* (sqrt (* (* PI 2) (/ 1 n))) (/ (pow (* PI (* (/ 1 n) 2)) (- (/ (/ 1 k) 2))) (sqrt (/ 1 k)))) into (* (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) (sqrt (/ (* PI k) n))) 1544000953.367 * [misc]approximate: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) (sqrt (/ (* PI k) n))) in (n k) around 0 1544000953.367 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) (sqrt (/ (* PI k) n))) in k 1544000953.367 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) in k 1544000953.367 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1544000953.367 * [misc]taylor: Taking taylor expansion of 2 in k 1544000953.367 * [misc]backup-simplify: Simplify 2 into 2 1544000953.367 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544000953.367 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544000953.367 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) in k 1544000953.367 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1544000953.367 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1544000953.367 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in k 1544000953.367 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544000953.367 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544000953.367 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000953.367 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544000953.367 * [misc]taylor: Taking taylor expansion of k in k 1544000953.367 * [misc]backup-simplify: Simplify 0 into 0 1544000953.367 * [misc]backup-simplify: Simplify 1 into 1 1544000953.368 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544000953.368 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1544000953.368 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1544000953.368 * [misc]taylor: Taking taylor expansion of 2 in k 1544000953.368 * [misc]backup-simplify: Simplify 2 into 2 1544000953.368 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544000953.368 * [misc]taylor: Taking taylor expansion of PI in k 1544000953.368 * [misc]backup-simplify: Simplify PI into PI 1544000953.368 * [misc]taylor: Taking taylor expansion of n in k 1544000953.368 * [misc]backup-simplify: Simplify n into n 1544000953.368 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544000953.368 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1544000953.368 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1544000953.368 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544000953.368 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544000953.368 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1544000953.368 * [misc]backup-simplify: Simplify (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) 1544000953.368 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* PI k) n)) in k 1544000953.368 * [misc]taylor: Taking taylor expansion of (/ (* PI k) n) in k 1544000953.368 * [misc]taylor: Taking taylor expansion of (* PI k) in k 1544000953.368 * [misc]taylor: Taking taylor expansion of PI in k 1544000953.368 * [misc]backup-simplify: Simplify PI into PI 1544000953.368 * [misc]taylor: Taking taylor expansion of k in k 1544000953.368 * [misc]backup-simplify: Simplify 0 into 0 1544000953.368 * [misc]backup-simplify: Simplify 1 into 1 1544000953.368 * [misc]taylor: Taking taylor expansion of n in k 1544000953.368 * [misc]backup-simplify: Simplify n into n 1544000953.369 * [misc]backup-simplify: Simplify (* PI 0) into 0 1544000953.369 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1544000953.369 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544000953.369 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544000953.369 * [misc]backup-simplify: Simplify (/ (/ PI n) (* 2 (sqrt 0))) into (* +nan.0 (/ PI n)) 1544000953.369 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) (sqrt (/ (* PI k) n))) in n 1544000953.369 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) in n 1544000953.369 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544000953.369 * [misc]taylor: Taking taylor expansion of 2 in n 1544000953.369 * [misc]backup-simplify: Simplify 2 into 2 1544000953.369 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544000953.370 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544000953.370 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) in n 1544000953.370 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1544000953.370 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1544000953.370 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in n 1544000953.370 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544000953.370 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544000953.370 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000953.370 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544000953.370 * [misc]taylor: Taking taylor expansion of k in n 1544000953.370 * [misc]backup-simplify: Simplify k into k 1544000953.370 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544000953.370 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544000953.370 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544000953.370 * [misc]taylor: Taking taylor expansion of 2 in n 1544000953.370 * [misc]backup-simplify: Simplify 2 into 2 1544000953.370 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544000953.370 * [misc]taylor: Taking taylor expansion of PI in n 1544000953.370 * [misc]backup-simplify: Simplify PI into PI 1544000953.370 * [misc]taylor: Taking taylor expansion of n in n 1544000953.370 * [misc]backup-simplify: Simplify 0 into 0 1544000953.370 * [misc]backup-simplify: Simplify 1 into 1 1544000953.370 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544000953.370 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544000953.371 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544000953.371 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544000953.371 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544000953.371 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544000953.371 * [misc]backup-simplify: Simplify (* (- (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1544000953.372 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1544000953.372 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* PI k) n)) in n 1544000953.372 * [misc]taylor: Taking taylor expansion of (/ (* PI k) n) in n 1544000953.372 * [misc]taylor: Taking taylor expansion of (* PI k) in n 1544000953.372 * [misc]taylor: Taking taylor expansion of PI in n 1544000953.372 * [misc]backup-simplify: Simplify PI into PI 1544000953.372 * [misc]taylor: Taking taylor expansion of k in n 1544000953.372 * [misc]backup-simplify: Simplify k into k 1544000953.372 * [misc]taylor: Taking taylor expansion of n in n 1544000953.372 * [misc]backup-simplify: Simplify 0 into 0 1544000953.372 * [misc]backup-simplify: Simplify 1 into 1 1544000953.372 * [misc]backup-simplify: Simplify (* PI k) into (* PI k) 1544000953.372 * [misc]backup-simplify: Simplify (/ (* PI k) 1) into (* PI k) 1544000953.372 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544000953.372 * [misc]backup-simplify: Simplify (/ (* PI k) (* 2 (sqrt 0))) into (* +nan.0 (* PI k)) 1544000953.372 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) (sqrt (/ (* PI k) n))) in n 1544000953.372 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) in n 1544000953.372 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544000953.372 * [misc]taylor: Taking taylor expansion of 2 in n 1544000953.372 * [misc]backup-simplify: Simplify 2 into 2 1544000953.373 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544000953.373 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544000953.373 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) in n 1544000953.373 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1544000953.373 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1544000953.373 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in n 1544000953.373 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544000953.373 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544000953.373 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000953.373 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544000953.373 * [misc]taylor: Taking taylor expansion of k in n 1544000953.373 * [misc]backup-simplify: Simplify k into k 1544000953.373 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544000953.373 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544000953.373 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544000953.373 * [misc]taylor: Taking taylor expansion of 2 in n 1544000953.373 * [misc]backup-simplify: Simplify 2 into 2 1544000953.373 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544000953.373 * [misc]taylor: Taking taylor expansion of PI in n 1544000953.373 * [misc]backup-simplify: Simplify PI into PI 1544000953.373 * [misc]taylor: Taking taylor expansion of n in n 1544000953.373 * [misc]backup-simplify: Simplify 0 into 0 1544000953.373 * [misc]backup-simplify: Simplify 1 into 1 1544000953.373 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544000953.373 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544000953.374 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544000953.374 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544000953.374 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544000953.374 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544000953.375 * [misc]backup-simplify: Simplify (* (- (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1544000953.375 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1544000953.375 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* PI k) n)) in n 1544000953.375 * [misc]taylor: Taking taylor expansion of (/ (* PI k) n) in n 1544000953.375 * [misc]taylor: Taking taylor expansion of (* PI k) in n 1544000953.375 * [misc]taylor: Taking taylor expansion of PI in n 1544000953.375 * [misc]backup-simplify: Simplify PI into PI 1544000953.375 * [misc]taylor: Taking taylor expansion of k in n 1544000953.375 * [misc]backup-simplify: Simplify k into k 1544000953.375 * [misc]taylor: Taking taylor expansion of n in n 1544000953.375 * [misc]backup-simplify: Simplify 0 into 0 1544000953.375 * [misc]backup-simplify: Simplify 1 into 1 1544000953.375 * [misc]backup-simplify: Simplify (* PI k) into (* PI k) 1544000953.375 * [misc]backup-simplify: Simplify (/ (* PI k) 1) into (* PI k) 1544000953.375 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544000953.376 * [misc]backup-simplify: Simplify (/ (* PI k) (* 2 (sqrt 0))) into (* +nan.0 (* PI k)) 1544000953.376 * [misc]backup-simplify: Simplify (* (sqrt 2) (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) 1544000953.377 * [misc]backup-simplify: Simplify (* (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) 0) into 0 1544000953.377 * [misc]taylor: Taking taylor expansion of 0 in k 1544000953.377 * [misc]backup-simplify: Simplify 0 into 0 1544000953.377 * [misc]backup-simplify: Simplify 0 into 0 1544000953.377 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544000953.377 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544000953.378 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544000953.379 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544000953.379 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544000953.379 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544000953.380 * [misc]backup-simplify: Simplify (- 0) into 0 1544000953.380 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544000953.380 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1544000953.381 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1544000953.382 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))))) into 0 1544000953.382 * [misc]backup-simplify: Simplify (+ (* (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) (* +nan.0 (* PI k))) (* 0 0)) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* PI k))))) 1544000953.382 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* PI k))))) in k 1544000953.382 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* PI k)))) in k 1544000953.382 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1544000953.382 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544000953.382 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* PI k))) in k 1544000953.383 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1544000953.383 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1544000953.383 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544000953.383 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544000953.383 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1544000953.383 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1544000953.383 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544000953.383 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544000953.383 * [misc]taylor: Taking taylor expansion of 2 in k 1544000953.383 * [misc]backup-simplify: Simplify 2 into 2 1544000953.383 * [misc]taylor: Taking taylor expansion of PI in k 1544000953.383 * [misc]backup-simplify: Simplify PI into PI 1544000953.383 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544000953.383 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544000953.383 * [misc]taylor: Taking taylor expansion of (log n) in k 1544000953.383 * [misc]taylor: Taking taylor expansion of n in k 1544000953.383 * [misc]backup-simplify: Simplify n into n 1544000953.383 * [misc]backup-simplify: Simplify (log n) into (log n) 1544000953.383 * [misc]taylor: Taking taylor expansion of k in k 1544000953.383 * [misc]backup-simplify: Simplify 0 into 0 1544000953.383 * [misc]backup-simplify: Simplify 1 into 1 1544000953.383 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544000953.384 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1544000953.384 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1544000953.384 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1544000953.385 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1544000953.385 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* PI k)) in k 1544000953.385 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1544000953.385 * [misc]taylor: Taking taylor expansion of 2 in k 1544000953.385 * [misc]backup-simplify: Simplify 2 into 2 1544000953.385 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544000953.385 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544000953.385 * [misc]taylor: Taking taylor expansion of (* PI k) in k 1544000953.385 * [misc]taylor: Taking taylor expansion of PI in k 1544000953.385 * [misc]backup-simplify: Simplify PI into PI 1544000953.385 * [misc]taylor: Taking taylor expansion of k in k 1544000953.385 * [misc]backup-simplify: Simplify 0 into 0 1544000953.385 * [misc]backup-simplify: Simplify 1 into 1 1544000953.385 * [misc]backup-simplify: Simplify (* PI 0) into 0 1544000953.385 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1544000953.386 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) into 0 1544000953.386 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544000953.386 * [misc]backup-simplify: Simplify (- 0) into 0 1544000953.386 * [misc]backup-simplify: Simplify 0 into 0 1544000953.386 * [misc]backup-simplify: Simplify 0 into 0 1544000953.386 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 k)) into 0 1544000953.386 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)))) into 0 1544000953.387 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (* PI k)) 2) (+)) (* 2 0)) into (* +nan.0 (* (pow PI 2) (pow k 2))) 1544000953.387 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544000953.388 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000953.388 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544000953.391 * [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 1544000953.391 * [misc]backup-simplify: Simplify (- 0) into 0 1544000953.391 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544000953.392 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544000953.392 * [misc]backup-simplify: Simplify (- 0) into 0 1544000953.392 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544000953.393 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1544000953.394 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544000953.395 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1544000953.396 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into 0 1544000953.397 * [misc]backup-simplify: Simplify (+ (* (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0))) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 2) (pow k 2)))))) 1544000953.397 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 2) (pow k 2)))))) in k 1544000953.398 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 2) (pow k 2))))) in k 1544000953.398 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1544000953.398 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544000953.398 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 2) (pow k 2)))) in k 1544000953.398 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1544000953.398 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1544000953.398 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544000953.398 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544000953.398 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1544000953.398 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1544000953.398 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544000953.398 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544000953.398 * [misc]taylor: Taking taylor expansion of 2 in k 1544000953.398 * [misc]backup-simplify: Simplify 2 into 2 1544000953.398 * [misc]taylor: Taking taylor expansion of PI in k 1544000953.398 * [misc]backup-simplify: Simplify PI into PI 1544000953.398 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544000953.399 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544000953.399 * [misc]taylor: Taking taylor expansion of (log n) in k 1544000953.399 * [misc]taylor: Taking taylor expansion of n in k 1544000953.399 * [misc]backup-simplify: Simplify n into n 1544000953.399 * [misc]backup-simplify: Simplify (log n) into (log n) 1544000953.399 * [misc]taylor: Taking taylor expansion of k in k 1544000953.399 * [misc]backup-simplify: Simplify 0 into 0 1544000953.399 * [misc]backup-simplify: Simplify 1 into 1 1544000953.399 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544000953.399 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1544000953.400 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1544000953.401 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1544000953.401 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1544000953.401 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 2) (pow k 2))) in k 1544000953.401 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1544000953.401 * [misc]taylor: Taking taylor expansion of 2 in k 1544000953.401 * [misc]backup-simplify: Simplify 2 into 2 1544000953.401 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544000953.402 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544000953.402 * [misc]taylor: Taking taylor expansion of (* (pow PI 2) (pow k 2)) in k 1544000953.402 * [misc]taylor: Taking taylor expansion of (pow PI 2) in k 1544000953.402 * [misc]taylor: Taking taylor expansion of PI in k 1544000953.402 * [misc]backup-simplify: Simplify PI into PI 1544000953.402 * [misc]taylor: Taking taylor expansion of (pow k 2) in k 1544000953.402 * [misc]taylor: Taking taylor expansion of k in k 1544000953.402 * [misc]backup-simplify: Simplify 0 into 0 1544000953.402 * [misc]backup-simplify: Simplify 1 into 1 1544000953.403 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1544000953.404 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) PI) (* 0 0)) into (* (sqrt 2) PI) 1544000953.405 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)) (* 0 0)) into (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)) 1544000953.406 * [misc]backup-simplify: Simplify (+ (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI))) (* 0 0)) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)))) 1544000953.407 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI))))) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)))) 1544000953.408 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)))) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)))) 1544000953.408 * [misc]backup-simplify: Simplify 0 into 0 1544000953.409 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 k))) into 0 1544000953.409 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000953.410 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 (* PI k)) (* +nan.0 (* (pow PI 2) (pow k 2))))))) (* 2 0)) into (* +nan.0 (* (pow PI 3) (pow k 3))) 1544000953.410 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544000953.412 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000953.414 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544000953.421 * [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 1544000953.421 * [misc]backup-simplify: Simplify (- 0) into 0 1544000953.421 * [misc]backup-simplify: Simplify (- 0) into 0 1544000953.422 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544000953.422 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1544000953.422 * [misc]backup-simplify: Simplify (- 0) into 0 1544000953.423 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544000953.424 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1544000953.427 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1544000953.428 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1544000953.429 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1544000953.431 * [misc]backup-simplify: Simplify (+ (* (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) (* +nan.0 (* (pow PI 3) (pow k 3)))) (+ (* 0 (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0)))) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 3) (pow k 3)))))) 1544000953.431 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 3) (pow k 3)))))) in k 1544000953.431 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 3) (pow k 3))))) in k 1544000953.431 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1544000953.431 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544000953.431 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 3) (pow k 3)))) in k 1544000953.431 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1544000953.431 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1544000953.431 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544000953.431 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544000953.431 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1544000953.431 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1544000953.431 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544000953.431 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544000953.431 * [misc]taylor: Taking taylor expansion of 2 in k 1544000953.431 * [misc]backup-simplify: Simplify 2 into 2 1544000953.431 * [misc]taylor: Taking taylor expansion of PI in k 1544000953.431 * [misc]backup-simplify: Simplify PI into PI 1544000953.432 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544000953.432 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544000953.432 * [misc]taylor: Taking taylor expansion of (log n) in k 1544000953.432 * [misc]taylor: Taking taylor expansion of n in k 1544000953.432 * [misc]backup-simplify: Simplify n into n 1544000953.432 * [misc]backup-simplify: Simplify (log n) into (log n) 1544000953.432 * [misc]taylor: Taking taylor expansion of k in k 1544000953.432 * [misc]backup-simplify: Simplify 0 into 0 1544000953.432 * [misc]backup-simplify: Simplify 1 into 1 1544000953.432 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544000953.433 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1544000953.433 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1544000953.434 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1544000953.434 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1544000953.434 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 3) (pow k 3))) in k 1544000953.434 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1544000953.435 * [misc]taylor: Taking taylor expansion of 2 in k 1544000953.435 * [misc]backup-simplify: Simplify 2 into 2 1544000953.435 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544000953.435 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544000953.435 * [misc]taylor: Taking taylor expansion of (* (pow PI 3) (pow k 3)) in k 1544000953.435 * [misc]taylor: Taking taylor expansion of (pow PI 3) in k 1544000953.435 * [misc]taylor: Taking taylor expansion of PI in k 1544000953.435 * [misc]backup-simplify: Simplify PI into PI 1544000953.435 * [misc]taylor: Taking taylor expansion of (pow k 3) in k 1544000953.435 * [misc]taylor: Taking taylor expansion of k in k 1544000953.435 * [misc]backup-simplify: Simplify 0 into 0 1544000953.435 * [misc]backup-simplify: Simplify 1 into 1 1544000953.436 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 1544000953.437 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1544000953.438 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 PI) (* 0 0))) into 0 1544000953.440 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (+ (* 0 (* (sqrt 2) PI)) (* 0 0))) into 0 1544000953.441 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI))) (* 0 0))) into 0 1544000953.441 * [misc]backup-simplify: Simplify (- 0) into 0 1544000953.441 * [misc]backup-simplify: Simplify 0 into 0 1544000953.441 * [misc]backup-simplify: Simplify 0 into 0 1544000953.442 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1544000953.443 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000953.444 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (* (pow PI 2) (pow k 2))) 2) (+ (* 2 (* (* +nan.0 (* PI k)) (* +nan.0 (* (pow PI 3) (pow k 3))))))) (* 2 0)) into (* +nan.0 (* (pow PI 4) (pow k 4))) 1544000953.444 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544000953.447 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000953.449 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544000953.459 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 2 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* 2 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* 2 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* 2 PI) 1)))) 24) into 0 1544000953.459 * [misc]backup-simplify: Simplify (- 0) into 0 1544000953.459 * [misc]backup-simplify: Simplify (- 0) into 0 1544000953.459 * [misc]backup-simplify: Simplify (- 0) into 0 1544000953.460 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544000953.460 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k)))))) into 0 1544000953.460 * [misc]backup-simplify: Simplify (- 0) into 0 1544000953.460 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544000953.461 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))))) into 0 1544000953.464 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544000953.465 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1544000953.466 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))))))) into 0 1544000953.467 * [misc]backup-simplify: Simplify (+ (* (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) (* +nan.0 (* (pow PI 4) (pow k 4)))) (+ (* 0 (* +nan.0 (* (pow PI 3) (pow k 3)))) (+ (* 0 (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0))))) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 4) (pow k 4)))))) 1544000953.468 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 4) (pow k 4)))))) in k 1544000953.468 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 4) (pow k 4))))) in k 1544000953.468 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1544000953.468 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544000953.468 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 4) (pow k 4)))) in k 1544000953.468 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1544000953.468 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1544000953.468 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544000953.468 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544000953.468 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1544000953.468 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1544000953.468 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544000953.468 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544000953.468 * [misc]taylor: Taking taylor expansion of 2 in k 1544000953.468 * [misc]backup-simplify: Simplify 2 into 2 1544000953.468 * [misc]taylor: Taking taylor expansion of PI in k 1544000953.468 * [misc]backup-simplify: Simplify PI into PI 1544000953.468 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544000953.468 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544000953.468 * [misc]taylor: Taking taylor expansion of (log n) in k 1544000953.468 * [misc]taylor: Taking taylor expansion of n in k 1544000953.468 * [misc]backup-simplify: Simplify n into n 1544000953.468 * [misc]backup-simplify: Simplify (log n) into (log n) 1544000953.468 * [misc]taylor: Taking taylor expansion of k in k 1544000953.468 * [misc]backup-simplify: Simplify 0 into 0 1544000953.468 * [misc]backup-simplify: Simplify 1 into 1 1544000953.468 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544000953.469 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1544000953.469 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1544000953.469 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1544000953.470 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1544000953.470 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 4) (pow k 4))) in k 1544000953.470 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1544000953.470 * [misc]taylor: Taking taylor expansion of 2 in k 1544000953.470 * [misc]backup-simplify: Simplify 2 into 2 1544000953.470 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544000953.470 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544000953.470 * [misc]taylor: Taking taylor expansion of (* (pow PI 4) (pow k 4)) in k 1544000953.470 * [misc]taylor: Taking taylor expansion of (pow PI 4) in k 1544000953.470 * [misc]taylor: Taking taylor expansion of PI in k 1544000953.470 * [misc]backup-simplify: Simplify PI into PI 1544000953.470 * [misc]taylor: Taking taylor expansion of (pow k 4) in k 1544000953.470 * [misc]taylor: Taking taylor expansion of k in k 1544000953.470 * [misc]backup-simplify: Simplify 0 into 0 1544000953.470 * [misc]backup-simplify: Simplify 1 into 1 1544000953.471 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1544000953.471 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544000953.471 * [misc]backup-simplify: Simplify (* (pow PI 2) 1) into (pow PI 2) 1544000953.471 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2)) 1544000953.472 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 2))) into (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))) 1544000953.473 * [misc]backup-simplify: Simplify (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2)))) into (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2)))) 1544000953.473 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))))) 1544000953.474 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))))) 1544000953.475 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1544000953.475 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1544000953.476 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1544000953.477 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (+ (* 0 0) (+ (* 0 (* (sqrt 2) PI)) (* 0 0)))) into 0 1544000953.478 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI))) (* 0 0)))) into 0 1544000953.478 * [misc]backup-simplify: Simplify (- 0) into 0 1544000953.478 * [misc]backup-simplify: Simplify 0 into 0 1544000953.478 * [misc]backup-simplify: Simplify 0 into 0 1544000953.479 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 k))))) into 0 1544000953.479 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000953.480 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 (* PI k)) (* +nan.0 (* (pow PI 4) (pow k 4))))) (* 2 (* (* +nan.0 (* (pow PI 2) (pow k 2))) (* +nan.0 (* (pow PI 3) (pow k 3))))))) (* 2 0)) into (* +nan.0 (* (pow PI 5) (pow k 5))) 1544000953.480 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544000953.483 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000953.485 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544000953.503 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (* 2 PI) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (* 2 PI) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (* 2 PI) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (* 2 PI) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* 2 PI) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (* 2 PI) 1)))) 120) into 0 1544000953.503 * [misc]backup-simplify: Simplify (- 0) into 0 1544000953.503 * [misc]backup-simplify: Simplify (- 0) into 0 1544000953.503 * [misc]backup-simplify: Simplify (- 0) into 0 1544000953.503 * [misc]backup-simplify: Simplify (- 0) into 0 1544000953.504 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544000953.504 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))))) into 0 1544000953.505 * [misc]backup-simplify: Simplify (- 0) into 0 1544000953.505 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544000953.506 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))))) into 0 1544000953.515 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1544000953.516 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1544000953.517 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))))))))) into 0 1544000953.519 * [misc]backup-simplify: Simplify (+ (* (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) (* +nan.0 (* (pow PI 5) (pow k 5)))) (+ (* 0 (* +nan.0 (* (pow PI 4) (pow k 4)))) (+ (* 0 (* +nan.0 (* (pow PI 3) (pow k 3)))) (+ (* 0 (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0)))))) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 5) (pow k 5)))))) 1544000953.519 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 5) (pow k 5)))))) in k 1544000953.519 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 5) (pow k 5))))) in k 1544000953.519 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1544000953.519 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544000953.519 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 5) (pow k 5)))) in k 1544000953.519 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1544000953.519 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1544000953.519 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544000953.519 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544000953.519 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1544000953.519 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1544000953.519 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544000953.519 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544000953.519 * [misc]taylor: Taking taylor expansion of 2 in k 1544000953.519 * [misc]backup-simplify: Simplify 2 into 2 1544000953.519 * [misc]taylor: Taking taylor expansion of PI in k 1544000953.519 * [misc]backup-simplify: Simplify PI into PI 1544000953.519 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544000953.520 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544000953.520 * [misc]taylor: Taking taylor expansion of (log n) in k 1544000953.520 * [misc]taylor: Taking taylor expansion of n in k 1544000953.520 * [misc]backup-simplify: Simplify n into n 1544000953.520 * [misc]backup-simplify: Simplify (log n) into (log n) 1544000953.520 * [misc]taylor: Taking taylor expansion of k in k 1544000953.520 * [misc]backup-simplify: Simplify 0 into 0 1544000953.520 * [misc]backup-simplify: Simplify 1 into 1 1544000953.520 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544000953.520 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1544000953.520 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1544000953.521 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1544000953.521 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1544000953.521 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 5) (pow k 5))) in k 1544000953.521 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1544000953.521 * [misc]taylor: Taking taylor expansion of 2 in k 1544000953.521 * [misc]backup-simplify: Simplify 2 into 2 1544000953.521 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544000953.521 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544000953.521 * [misc]taylor: Taking taylor expansion of (* (pow PI 5) (pow k 5)) in k 1544000953.521 * [misc]taylor: Taking taylor expansion of (pow PI 5) in k 1544000953.521 * [misc]taylor: Taking taylor expansion of PI in k 1544000953.521 * [misc]backup-simplify: Simplify PI into PI 1544000953.522 * [misc]taylor: Taking taylor expansion of (pow k 5) in k 1544000953.522 * [misc]taylor: Taking taylor expansion of k in k 1544000953.522 * [misc]backup-simplify: Simplify 0 into 0 1544000953.522 * [misc]backup-simplify: Simplify 1 into 1 1544000953.522 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1544000953.522 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 1544000953.523 * [misc]backup-simplify: Simplify (+ (* (pow PI 2) 0) (* 0 1)) into 0 1544000953.523 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 2))) into 0 1544000953.524 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (* 0 (* (sqrt 2) (pow PI 2)))) into 0 1544000953.525 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))))) into 0 1544000953.525 * [misc]backup-simplify: Simplify (- 0) into 0 1544000953.525 * [misc]backup-simplify: Simplify 0 into 0 1544000953.526 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1544000953.527 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1544000953.528 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1544000953.529 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (* (sqrt 2) PI)) (* 0 0))))) into 0 1544000953.530 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI))) (* 0 0))))) into 0 1544000953.530 * [misc]backup-simplify: Simplify (- 0) into 0 1544000953.530 * [misc]backup-simplify: Simplify 0 into 0 1544000953.530 * [misc]backup-simplify: Simplify 0 into 0 1544000953.531 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))))) into 0 1544000953.532 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000953.533 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (* (pow PI 3) (pow k 3))) 2) (+ (* 2 (* (* +nan.0 (* PI k)) (* +nan.0 (* (pow PI 5) (pow k 5))))) (* 2 (* (* +nan.0 (* (pow PI 2) (pow k 2))) (* +nan.0 (* (pow PI 4) (pow k 4))))))) (* 2 0)) into (* +nan.0 (* (pow PI 6) (pow k 6))) 1544000953.533 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544000953.534 * [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 1544000953.536 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544000953.554 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (* 2 PI) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (* 2 PI) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (* 2 PI) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (* 2 PI) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (* 2 PI) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* 2 PI) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (* 2 PI) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (* 2 PI) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (* 2 PI) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (* 2 PI) 1)))) 720) into 0 1544000953.554 * [misc]backup-simplify: Simplify (- 0) into 0 1544000953.554 * [misc]backup-simplify: Simplify (- 0) into 0 1544000953.554 * [misc]backup-simplify: Simplify (- 0) into 0 1544000953.554 * [misc]backup-simplify: Simplify (- 0) into 0 1544000953.554 * [misc]backup-simplify: Simplify (- 0) into 0 1544000953.554 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544000953.555 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k)))))))) into 0 1544000953.555 * [misc]backup-simplify: Simplify (- 0) into 0 1544000953.555 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544000953.556 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))))))) into 0 1544000953.567 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544000953.569 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1544000953.571 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))))))))) into 0 1544000953.574 * [misc]backup-simplify: Simplify (+ (* (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) (* +nan.0 (* (pow PI 6) (pow k 6)))) (+ (* 0 (* +nan.0 (* (pow PI 5) (pow k 5)))) (+ (* 0 (* +nan.0 (* (pow PI 4) (pow k 4)))) (+ (* 0 (* +nan.0 (* (pow PI 3) (pow k 3)))) (+ (* 0 (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0))))))) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 6) (pow k 6)))))) 1544000953.574 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 6) (pow k 6)))))) in k 1544000953.574 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 6) (pow k 6))))) in k 1544000953.574 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1544000953.574 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544000953.574 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 6) (pow k 6)))) in k 1544000953.574 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1544000953.574 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1544000953.574 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544000953.574 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544000953.574 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1544000953.574 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1544000953.574 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544000953.574 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544000953.574 * [misc]taylor: Taking taylor expansion of 2 in k 1544000953.574 * [misc]backup-simplify: Simplify 2 into 2 1544000953.574 * [misc]taylor: Taking taylor expansion of PI in k 1544000953.574 * [misc]backup-simplify: Simplify PI into PI 1544000953.575 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544000953.575 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544000953.575 * [misc]taylor: Taking taylor expansion of (log n) in k 1544000953.575 * [misc]taylor: Taking taylor expansion of n in k 1544000953.575 * [misc]backup-simplify: Simplify n into n 1544000953.575 * [misc]backup-simplify: Simplify (log n) into (log n) 1544000953.575 * [misc]taylor: Taking taylor expansion of k in k 1544000953.575 * [misc]backup-simplify: Simplify 0 into 0 1544000953.575 * [misc]backup-simplify: Simplify 1 into 1 1544000953.575 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544000953.576 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1544000953.576 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1544000953.577 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1544000953.578 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1544000953.578 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 6) (pow k 6))) in k 1544000953.578 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1544000953.578 * [misc]taylor: Taking taylor expansion of 2 in k 1544000953.578 * [misc]backup-simplify: Simplify 2 into 2 1544000953.578 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544000953.578 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544000953.578 * [misc]taylor: Taking taylor expansion of (* (pow PI 6) (pow k 6)) in k 1544000953.578 * [misc]taylor: Taking taylor expansion of (pow PI 6) in k 1544000953.578 * [misc]taylor: Taking taylor expansion of PI in k 1544000953.578 * [misc]backup-simplify: Simplify PI into PI 1544000953.578 * [misc]taylor: Taking taylor expansion of (pow k 6) in k 1544000953.578 * [misc]taylor: Taking taylor expansion of k in k 1544000953.578 * [misc]backup-simplify: Simplify 0 into 0 1544000953.578 * [misc]backup-simplify: Simplify 1 into 1 1544000953.579 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1544000953.579 * [misc]backup-simplify: Simplify (* PI (pow PI 2)) into (pow PI 3) 1544000953.580 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544000953.580 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544000953.580 * [misc]backup-simplify: Simplify (* (pow PI 3) 1) into (pow PI 3) 1544000953.581 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 3)) into (* (sqrt 2) (pow PI 3)) 1544000953.582 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 3))) into (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3))) 1544000953.583 * [misc]backup-simplify: Simplify (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3)))) into (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3)))) 1544000953.584 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3))))) into (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3))))) 1544000953.585 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3))))) into (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3))))) 1544000953.590 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k)))) (pow PI 3))))) (* (pow (/ 1 k) 3) (pow (/ 1 n) 2))) (+ (* (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k)))) (pow PI 2))))) (* (pow (/ 1 k) 2) (/ 1 n))) (* (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k)))) (* (sqrt 2) PI)))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (pow PI 2))) (* n (pow k 2)))) (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (pow PI 3))) (* (pow n 2) (pow k 3)))) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) PI)) k))))))) 1544000953.591 * [misc]backup-simplify: Simplify (* (sqrt (* (* PI 2) (/ 1 (- n)))) (/ (pow (* PI (* (/ 1 (- n)) 2)) (- (/ (/ 1 (- k)) 2))) (sqrt (/ 1 (- k))))) into (/ (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) (sqrt (/ -1 k))) 1544000953.591 * [misc]approximate: Taking taylor expansion of (/ (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) (sqrt (/ -1 k))) in (n k) around 0 1544000953.591 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) (sqrt (/ -1 k))) in k 1544000953.591 * [misc]taylor: Taking taylor expansion of (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) in k 1544000953.591 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in k 1544000953.591 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1544000953.591 * [misc]taylor: Taking taylor expansion of -2 in k 1544000953.591 * [misc]backup-simplify: Simplify -2 into -2 1544000953.591 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544000953.591 * [misc]taylor: Taking taylor expansion of PI in k 1544000953.591 * [misc]backup-simplify: Simplify PI into PI 1544000953.591 * [misc]taylor: Taking taylor expansion of n in k 1544000953.591 * [misc]backup-simplify: Simplify n into n 1544000953.591 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544000953.591 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1544000953.592 * [misc]backup-simplify: Simplify (sqrt (* -2 (/ PI n))) into (sqrt (* -2 (/ PI n))) 1544000953.592 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 1544000953.592 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (/ PI n))) into 0 1544000953.592 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* -2 (/ PI n))))) into 0 1544000953.592 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) in k 1544000953.592 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) in k 1544000953.592 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n)))) in k 1544000953.592 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544000953.592 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544000953.592 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000953.592 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544000953.592 * [misc]taylor: Taking taylor expansion of k in k 1544000953.592 * [misc]backup-simplify: Simplify 0 into 0 1544000953.592 * [misc]backup-simplify: Simplify 1 into 1 1544000953.593 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544000953.593 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1544000953.593 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1544000953.593 * [misc]taylor: Taking taylor expansion of -2 in k 1544000953.593 * [misc]backup-simplify: Simplify -2 into -2 1544000953.593 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544000953.593 * [misc]taylor: Taking taylor expansion of PI in k 1544000953.593 * [misc]backup-simplify: Simplify PI into PI 1544000953.593 * [misc]taylor: Taking taylor expansion of n in k 1544000953.593 * [misc]backup-simplify: Simplify n into n 1544000953.593 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544000953.593 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1544000953.593 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1544000953.593 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544000953.593 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1544000953.593 * [misc]backup-simplify: Simplify (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))) 1544000953.594 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544000953.594 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544000953.594 * [misc]taylor: Taking taylor expansion of -1 in k 1544000953.594 * [misc]backup-simplify: Simplify -1 into -1 1544000953.594 * [misc]taylor: Taking taylor expansion of k in k 1544000953.594 * [misc]backup-simplify: Simplify 0 into 0 1544000953.594 * [misc]backup-simplify: Simplify 1 into 1 1544000953.594 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544000953.594 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544000953.594 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544000953.595 * [misc]backup-simplify: Simplify (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))) into (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))) 1544000953.595 * [misc]backup-simplify: Simplify (/ (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))) +nan.0) into (* +nan.0 (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))))) 1544000953.595 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) (sqrt (/ -1 k))) in n 1544000953.595 * [misc]taylor: Taking taylor expansion of (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) in n 1544000953.595 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1544000953.595 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544000953.595 * [misc]taylor: Taking taylor expansion of -2 in n 1544000953.595 * [misc]backup-simplify: Simplify -2 into -2 1544000953.595 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544000953.595 * [misc]taylor: Taking taylor expansion of PI in n 1544000953.595 * [misc]backup-simplify: Simplify PI into PI 1544000953.595 * [misc]taylor: Taking taylor expansion of n in n 1544000953.595 * [misc]backup-simplify: Simplify 0 into 0 1544000953.595 * [misc]backup-simplify: Simplify 1 into 1 1544000953.596 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544000953.596 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544000953.596 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544000953.597 * [misc]backup-simplify: Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1544000953.597 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) in n 1544000953.597 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) in n 1544000953.597 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n)))) in n 1544000953.597 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544000953.597 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544000953.597 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000953.597 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544000953.597 * [misc]taylor: Taking taylor expansion of k in n 1544000953.597 * [misc]backup-simplify: Simplify k into k 1544000953.597 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544000953.597 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544000953.597 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544000953.597 * [misc]taylor: Taking taylor expansion of -2 in n 1544000953.597 * [misc]backup-simplify: Simplify -2 into -2 1544000953.597 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544000953.597 * [misc]taylor: Taking taylor expansion of PI in n 1544000953.597 * [misc]backup-simplify: Simplify PI into PI 1544000953.597 * [misc]taylor: Taking taylor expansion of n in n 1544000953.597 * [misc]backup-simplify: Simplify 0 into 0 1544000953.597 * [misc]backup-simplify: Simplify 1 into 1 1544000953.598 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544000953.598 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544000953.598 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544000953.598 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544000953.599 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544000953.600 * [misc]backup-simplify: Simplify (* (/ 1/2 k) (- (log (* -2 PI)) (log n))) into (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) 1544000953.600 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1544000953.600 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1544000953.600 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544000953.600 * [misc]taylor: Taking taylor expansion of -1 in n 1544000953.600 * [misc]backup-simplify: Simplify -1 into -1 1544000953.600 * [misc]taylor: Taking taylor expansion of k in n 1544000953.600 * [misc]backup-simplify: Simplify k into k 1544000953.600 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544000953.601 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1544000953.601 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544000953.601 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1544000953.601 * [misc]backup-simplify: Simplify (* 0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) into 0 1544000953.602 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544000953.603 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1544000953.607 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1544000953.607 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544000953.607 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544000953.608 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544000953.608 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1544000953.610 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1544000953.611 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (* +nan.0 PI) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1544000953.612 * [misc]backup-simplify: Simplify (/ (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) (sqrt (/ -1 k))) into (* +nan.0 (/ (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k)))) 1544000953.612 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) (sqrt (/ -1 k))) in n 1544000953.612 * [misc]taylor: Taking taylor expansion of (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) in n 1544000953.612 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1544000953.612 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544000953.612 * [misc]taylor: Taking taylor expansion of -2 in n 1544000953.612 * [misc]backup-simplify: Simplify -2 into -2 1544000953.612 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544000953.612 * [misc]taylor: Taking taylor expansion of PI in n 1544000953.612 * [misc]backup-simplify: Simplify PI into PI 1544000953.612 * [misc]taylor: Taking taylor expansion of n in n 1544000953.612 * [misc]backup-simplify: Simplify 0 into 0 1544000953.612 * [misc]backup-simplify: Simplify 1 into 1 1544000953.613 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544000953.613 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544000953.613 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544000953.614 * [misc]backup-simplify: Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1544000953.614 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) in n 1544000953.614 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) in n 1544000953.614 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n)))) in n 1544000953.614 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544000953.614 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544000953.614 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000953.614 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544000953.614 * [misc]taylor: Taking taylor expansion of k in n 1544000953.614 * [misc]backup-simplify: Simplify k into k 1544000953.614 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544000953.614 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544000953.614 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544000953.614 * [misc]taylor: Taking taylor expansion of -2 in n 1544000953.614 * [misc]backup-simplify: Simplify -2 into -2 1544000953.614 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544000953.614 * [misc]taylor: Taking taylor expansion of PI in n 1544000953.614 * [misc]backup-simplify: Simplify PI into PI 1544000953.614 * [misc]taylor: Taking taylor expansion of n in n 1544000953.614 * [misc]backup-simplify: Simplify 0 into 0 1544000953.615 * [misc]backup-simplify: Simplify 1 into 1 1544000953.615 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544000953.615 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544000953.615 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544000953.616 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544000953.616 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544000953.617 * [misc]backup-simplify: Simplify (* (/ 1/2 k) (- (log (* -2 PI)) (log n))) into (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) 1544000953.617 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1544000953.617 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1544000953.617 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544000953.617 * [misc]taylor: Taking taylor expansion of -1 in n 1544000953.617 * [misc]backup-simplify: Simplify -1 into -1 1544000953.618 * [misc]taylor: Taking taylor expansion of k in n 1544000953.618 * [misc]backup-simplify: Simplify k into k 1544000953.618 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544000953.618 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1544000953.618 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544000953.618 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1544000953.619 * [misc]backup-simplify: Simplify (* 0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) into 0 1544000953.620 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544000953.620 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1544000953.623 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1544000953.623 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544000953.623 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544000953.624 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544000953.625 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1544000953.626 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1544000953.627 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (* +nan.0 PI) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1544000953.628 * [misc]backup-simplify: Simplify (/ (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) (sqrt (/ -1 k))) into (* +nan.0 (/ (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k)))) 1544000953.628 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k)))) in k 1544000953.628 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1544000953.628 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544000953.628 * [misc]taylor: Taking taylor expansion of (/ (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k))) in k 1544000953.628 * [misc]taylor: Taking taylor expansion of (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) in k 1544000953.628 * [misc]taylor: Taking taylor expansion of PI in k 1544000953.628 * [misc]backup-simplify: Simplify PI into PI 1544000953.628 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k 1544000953.628 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k 1544000953.628 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544000953.628 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000953.628 * [misc]taylor: Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k 1544000953.628 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1544000953.628 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1544000953.628 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1544000953.628 * [misc]taylor: Taking taylor expansion of -2 in k 1544000953.628 * [misc]backup-simplify: Simplify -2 into -2 1544000953.629 * [misc]taylor: Taking taylor expansion of PI in k 1544000953.629 * [misc]backup-simplify: Simplify PI into PI 1544000953.629 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544000953.629 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544000953.629 * [misc]taylor: Taking taylor expansion of (log n) in k 1544000953.629 * [misc]taylor: Taking taylor expansion of n in k 1544000953.629 * [misc]backup-simplify: Simplify n into n 1544000953.629 * [misc]backup-simplify: Simplify (log n) into (log n) 1544000953.629 * [misc]taylor: Taking taylor expansion of k in k 1544000953.630 * [misc]backup-simplify: Simplify 0 into 0 1544000953.630 * [misc]backup-simplify: Simplify 1 into 1 1544000953.630 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544000953.630 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1544000953.631 * [misc]backup-simplify: Simplify (/ (- (log (* -2 PI)) (log n)) 1) into (- (log (* -2 PI)) (log n)) 1544000953.631 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1544000953.632 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1544000953.632 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544000953.632 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544000953.632 * [misc]taylor: Taking taylor expansion of -1 in k 1544000953.632 * [misc]backup-simplify: Simplify -1 into -1 1544000953.632 * [misc]taylor: Taking taylor expansion of k in k 1544000953.632 * [misc]backup-simplify: Simplify 0 into 0 1544000953.632 * [misc]backup-simplify: Simplify 1 into 1 1544000953.632 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544000953.632 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544000953.633 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544000953.633 * [misc]backup-simplify: Simplify (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) into (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) 1544000953.634 * [misc]backup-simplify: Simplify (/ (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) +nan.0) into (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1544000953.635 * [misc]backup-simplify: Simplify (* +nan.0 (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1544000953.635 * [misc]backup-simplify: Simplify (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1544000953.637 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000953.638 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1544000953.643 * [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 1544000953.643 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544000953.643 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544000953.644 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544000953.645 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1544000953.647 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544000953.648 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544000953.649 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1544000953.650 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1544000953.652 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (* +nan.0 PI) 0) (* (* +nan.0 (pow PI 2)) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (- (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1544000953.654 * [misc]backup-simplify: Simplify (- (/ (- (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) (sqrt (/ -1 k))) (+ (* (* +nan.0 (/ (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k)))) (/ 0 (sqrt (/ -1 k)))))) into (- (* +nan.0 (/ (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k))))) 1544000953.654 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k))))) in k 1544000953.654 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k)))) in k 1544000953.654 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1544000953.654 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544000953.654 * [misc]taylor: Taking taylor expansion of (/ (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k))) in k 1544000953.654 * [misc]taylor: Taking taylor expansion of (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) in k 1544000953.654 * [misc]taylor: Taking taylor expansion of (pow PI 2) in k 1544000953.654 * [misc]taylor: Taking taylor expansion of PI in k 1544000953.654 * [misc]backup-simplify: Simplify PI into PI 1544000953.654 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k 1544000953.654 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k 1544000953.654 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544000953.654 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000953.654 * [misc]taylor: Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k 1544000953.654 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1544000953.654 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1544000953.654 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1544000953.654 * [misc]taylor: Taking taylor expansion of -2 in k 1544000953.654 * [misc]backup-simplify: Simplify -2 into -2 1544000953.654 * [misc]taylor: Taking taylor expansion of PI in k 1544000953.654 * [misc]backup-simplify: Simplify PI into PI 1544000953.654 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544000953.655 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544000953.655 * [misc]taylor: Taking taylor expansion of (log n) in k 1544000953.655 * [misc]taylor: Taking taylor expansion of n in k 1544000953.655 * [misc]backup-simplify: Simplify n into n 1544000953.655 * [misc]backup-simplify: Simplify (log n) into (log n) 1544000953.655 * [misc]taylor: Taking taylor expansion of k in k 1544000953.655 * [misc]backup-simplify: Simplify 0 into 0 1544000953.655 * [misc]backup-simplify: Simplify 1 into 1 1544000953.655 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544000953.656 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1544000953.656 * [misc]backup-simplify: Simplify (/ (- (log (* -2 PI)) (log n)) 1) into (- (log (* -2 PI)) (log n)) 1544000953.657 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1544000953.657 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1544000953.657 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544000953.657 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544000953.657 * [misc]taylor: Taking taylor expansion of -1 in k 1544000953.657 * [misc]backup-simplify: Simplify -1 into -1 1544000953.657 * [misc]taylor: Taking taylor expansion of k in k 1544000953.657 * [misc]backup-simplify: Simplify 0 into 0 1544000953.657 * [misc]backup-simplify: Simplify 1 into 1 1544000953.658 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544000953.658 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544000953.658 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544000953.658 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1544000953.659 * [misc]backup-simplify: Simplify (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) into (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) 1544000953.661 * [misc]backup-simplify: Simplify (/ (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) +nan.0) into (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1544000953.662 * [misc]backup-simplify: Simplify (* +nan.0 (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1544000953.663 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (- (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1544000953.663 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (- (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1544000953.664 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into 0 1544000953.664 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1544000953.665 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544000953.665 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1544000953.666 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))))) (* 0 (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))))) into (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1544000953.667 * [misc]backup-simplify: Simplify (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1544000953.668 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k)))))))) (* (/ 1 (- k)) 1)) (+ (* (- (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k)))))))) (* 1 (/ 1 (- n)))) (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k))))))))) into (- (+ (* +nan.0 (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) PI)) (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) PI) k)) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) (pow PI 2)) n))))))) 1544000953.668 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) 1544000953.668 * [misc]backup-simplify: Simplify (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) into (* (pow (* 2 (* n PI)) (- (* 1/2 k))) (sqrt (/ 1 k))) 1544000953.669 * [misc]approximate: Taking taylor expansion of (* (pow (* 2 (* n PI)) (- (* 1/2 k))) (sqrt (/ 1 k))) in (n k) around 0 1544000953.669 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (* n PI)) (- (* 1/2 k))) (sqrt (/ 1 k))) in k 1544000953.669 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- (* 1/2 k))) in k 1544000953.669 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 (* n PI))))) in k 1544000953.669 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 (* n PI)))) in k 1544000953.669 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in k 1544000953.669 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544000953.669 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544000953.669 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000953.669 * [misc]taylor: Taking taylor expansion of k in k 1544000953.669 * [misc]backup-simplify: Simplify 0 into 0 1544000953.669 * [misc]backup-simplify: Simplify 1 into 1 1544000953.669 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1544000953.669 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1544000953.669 * [misc]taylor: Taking taylor expansion of 2 in k 1544000953.669 * [misc]backup-simplify: Simplify 2 into 2 1544000953.669 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1544000953.669 * [misc]taylor: Taking taylor expansion of n in k 1544000953.669 * [misc]backup-simplify: Simplify n into n 1544000953.669 * [misc]taylor: Taking taylor expansion of PI in k 1544000953.669 * [misc]backup-simplify: Simplify PI into PI 1544000953.669 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1544000953.669 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1544000953.669 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1544000953.669 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544000953.669 * [misc]backup-simplify: Simplify (- 0) into 0 1544000953.669 * [misc]backup-simplify: Simplify (* 0 (log (* 2 (* n PI)))) into 0 1544000953.669 * [misc]backup-simplify: Simplify (- 0) into 0 1544000953.670 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1544000953.670 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1544000953.670 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1544000953.670 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544000953.671 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544000953.671 * [misc]backup-simplify: Simplify (+ (* 0 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 1544000953.671 * [misc]backup-simplify: Simplify (exp 0) into 1 1544000953.671 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1544000953.671 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544000953.671 * [misc]taylor: Taking taylor expansion of k in k 1544000953.671 * [misc]backup-simplify: Simplify 0 into 0 1544000953.671 * [misc]backup-simplify: Simplify 1 into 1 1544000953.671 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544000953.671 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544000953.671 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544000953.671 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (* n PI)) (- (* 1/2 k))) (sqrt (/ 1 k))) in n 1544000953.671 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- (* 1/2 k))) in n 1544000953.671 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 (* n PI))))) in n 1544000953.671 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 (* n PI)))) in n 1544000953.671 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in n 1544000953.671 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544000953.671 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544000953.671 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000953.671 * [misc]taylor: Taking taylor expansion of k in n 1544000953.671 * [misc]backup-simplify: Simplify k into k 1544000953.671 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544000953.671 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544000953.671 * [misc]taylor: Taking taylor expansion of 2 in n 1544000953.671 * [misc]backup-simplify: Simplify 2 into 2 1544000953.672 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544000953.672 * [misc]taylor: Taking taylor expansion of n in n 1544000953.672 * [misc]backup-simplify: Simplify 0 into 0 1544000953.672 * [misc]backup-simplify: Simplify 1 into 1 1544000953.672 * [misc]taylor: Taking taylor expansion of PI in n 1544000953.672 * [misc]backup-simplify: Simplify PI into PI 1544000953.672 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544000953.672 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544000953.672 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544000953.673 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544000953.673 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544000953.673 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544000953.673 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544000953.673 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544000953.674 * [misc]backup-simplify: Simplify (* (- (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* -1/2 (* (+ (log n) (log (* 2 PI))) k)) 1544000953.674 * [misc]backup-simplify: Simplify (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) into (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) 1544000953.674 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1544000953.674 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544000953.674 * [misc]taylor: Taking taylor expansion of k in n 1544000953.674 * [misc]backup-simplify: Simplify k into k 1544000953.674 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544000953.674 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1544000953.674 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544000953.674 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1544000953.674 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (* n PI)) (- (* 1/2 k))) (sqrt (/ 1 k))) in n 1544000953.675 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- (* 1/2 k))) in n 1544000953.675 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 (* n PI))))) in n 1544000953.675 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 (* n PI)))) in n 1544000953.675 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in n 1544000953.675 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544000953.675 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544000953.675 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000953.675 * [misc]taylor: Taking taylor expansion of k in n 1544000953.675 * [misc]backup-simplify: Simplify k into k 1544000953.675 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544000953.675 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544000953.675 * [misc]taylor: Taking taylor expansion of 2 in n 1544000953.675 * [misc]backup-simplify: Simplify 2 into 2 1544000953.675 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544000953.675 * [misc]taylor: Taking taylor expansion of n in n 1544000953.675 * [misc]backup-simplify: Simplify 0 into 0 1544000953.675 * [misc]backup-simplify: Simplify 1 into 1 1544000953.675 * [misc]taylor: Taking taylor expansion of PI in n 1544000953.675 * [misc]backup-simplify: Simplify PI into PI 1544000953.675 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544000953.675 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544000953.675 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544000953.676 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544000953.676 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544000953.676 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544000953.676 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544000953.677 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544000953.677 * [misc]backup-simplify: Simplify (* (- (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* -1/2 (* (+ (log n) (log (* 2 PI))) k)) 1544000953.677 * [misc]backup-simplify: Simplify (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) into (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) 1544000953.677 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1544000953.677 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544000953.677 * [misc]taylor: Taking taylor expansion of k in n 1544000953.677 * [misc]backup-simplify: Simplify k into k 1544000953.677 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544000953.677 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1544000953.678 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544000953.678 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1544000953.678 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) (sqrt (/ 1 k))) into (* (sqrt (/ 1 k)) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))) 1544000953.678 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))) in k 1544000953.678 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1544000953.678 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544000953.678 * [misc]taylor: Taking taylor expansion of k in k 1544000953.678 * [misc]backup-simplify: Simplify 0 into 0 1544000953.678 * [misc]backup-simplify: Simplify 1 into 1 1544000953.678 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544000953.678 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544000953.679 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544000953.679 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) in k 1544000953.679 * [misc]taylor: Taking taylor expansion of (* -1/2 (* (+ (log n) (log (* 2 PI))) k)) in k 1544000953.679 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544000953.679 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544000953.679 * [misc]taylor: Taking taylor expansion of (* (+ (log n) (log (* 2 PI))) k) in k 1544000953.679 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1544000953.679 * [misc]taylor: Taking taylor expansion of (log n) in k 1544000953.679 * [misc]taylor: Taking taylor expansion of n in k 1544000953.679 * [misc]backup-simplify: Simplify n into n 1544000953.679 * [misc]backup-simplify: Simplify (log n) into (log n) 1544000953.679 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544000953.679 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544000953.679 * [misc]taylor: Taking taylor expansion of 2 in k 1544000953.679 * [misc]backup-simplify: Simplify 2 into 2 1544000953.679 * [misc]taylor: Taking taylor expansion of PI in k 1544000953.679 * [misc]backup-simplify: Simplify PI into PI 1544000953.679 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544000953.679 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544000953.679 * [misc]taylor: Taking taylor expansion of k in k 1544000953.679 * [misc]backup-simplify: Simplify 0 into 0 1544000953.679 * [misc]backup-simplify: Simplify 1 into 1 1544000953.680 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544000953.680 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) 0) into 0 1544000953.680 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1544000953.681 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1544000953.681 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544000953.683 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544000953.683 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544000953.683 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 1) (* 0 0)) into (+ (log n) (log (* 2 PI))) 1544000953.683 * [misc]backup-simplify: Simplify (+ (* -1/2 (+ (log n) (log (* 2 PI)))) (* 0 0)) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1544000953.684 * [misc]backup-simplify: Simplify (exp 0) into 1 1544000953.684 * [misc]backup-simplify: Simplify (* 0 1) into 0 1544000953.684 * [misc]backup-simplify: Simplify 0 into 0 1544000953.684 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544000953.684 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544000953.685 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1544000953.686 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544000953.687 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1544000953.687 * [misc]backup-simplify: Simplify (- 0) into 0 1544000953.687 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544000953.688 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1544000953.688 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1544000953.689 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) 0) (* 0 (sqrt (/ 1 k)))) into 0 1544000953.689 * [misc]taylor: Taking taylor expansion of 0 in k 1544000953.689 * [misc]backup-simplify: Simplify 0 into 0 1544000953.689 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1544000953.690 * [misc]backup-simplify: Simplify (+ (* 0 (* -1 (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))))) (* +nan.0 1)) into (- +nan.0) 1544000953.690 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) 1544000953.690 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544000953.691 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1544000953.691 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544000953.692 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1544000953.694 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1544000953.697 * [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 1544000953.697 * [misc]backup-simplify: Simplify (- 0) into 0 1544000953.698 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1544000953.698 * [misc]backup-simplify: Simplify (- 0) into 0 1544000953.698 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544000953.698 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1544000953.700 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544000953.700 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 1544000953.700 * [misc]taylor: Taking taylor expansion of 0 in k 1544000953.700 * [misc]backup-simplify: Simplify 0 into 0 1544000953.700 * [misc]backup-simplify: Simplify 0 into 0 1544000953.701 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1544000953.702 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544000953.705 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 1544000953.705 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544000953.705 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (+ (* 0 1) (* 0 0))) into 0 1544000953.706 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 (+ (log n) (log (* 2 PI)))) (* 0 0))) into 0 1544000953.707 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))) 1544000953.707 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544000953.708 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544000953.710 * [misc]backup-simplify: Simplify (+ (* 0 (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) (+ (* +nan.0 (* -1 (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))))) (* +nan.0 1))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (+ +nan.0 (- (* +nan.0 (log n))))))) 1544000953.710 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (log (* 2 PI))) (- (+ +nan.0 (- (* +nan.0 (log n))))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (log n)) (- +nan.0))))) 1544000953.710 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544000953.711 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1544000953.711 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544000953.712 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544000953.713 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1544000953.718 * [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 1544000953.718 * [misc]backup-simplify: Simplify (- 0) into 0 1544000953.718 * [misc]backup-simplify: Simplify (- 0) into 0 1544000953.719 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1544000953.719 * [misc]backup-simplify: Simplify (- 0) into 0 1544000953.719 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544000953.720 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1544000953.722 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1544000953.722 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 1544000953.723 * [misc]taylor: Taking taylor expansion of 0 in k 1544000953.723 * [misc]backup-simplify: Simplify 0 into 0 1544000953.723 * [misc]backup-simplify: Simplify 0 into 0 1544000953.723 * [misc]backup-simplify: Simplify 0 into 0 1544000953.725 * [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 1544000953.727 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544000953.735 * [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 1544000953.735 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544000953.736 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1544000953.737 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 (+ (log n) (log (* 2 PI)))) (* 0 0)))) into 0 1544000953.740 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 3) 6)) (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 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)))))) 1544000953.741 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000953.742 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544000953.748 * [misc]backup-simplify: Simplify (+ (* 0 (* -1 (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (pow (log n) 2) (log (* 2 PI)))) (+ (* 1/16 (* (log n) (pow (log (* 2 PI)) 2))) (* 1/48 (pow (log (* 2 PI)) 3))))))) (+ (* +nan.0 (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) (+ (* +nan.0 (* -1 (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))))) (* +nan.0 1)))) into (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (+ +nan.0 (- (* +nan.0 (log n))))))))))))) 1544000953.751 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (+ +nan.0 (- (* +nan.0 (log n))))))))))))) into (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ +nan.0 (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (pow (log (* 2 PI)) 2))))))))))))) 1544000953.757 * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ +nan.0 (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (pow (log (* 2 PI)) 2))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (log n)) (- +nan.0))))) (* k 1)) (- +nan.0))) into (- (+ (* +nan.0 (* (log (* 2 PI)) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) k)) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (log n) k)) (- (+ (* +nan.0 (* (log n) (pow k 2))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (* (pow (log n) 2) (pow k 2))) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))))))))))))))))) 1544000953.757 * [misc]backup-simplify: Simplify (/ (pow (* PI (* (/ 1 n) 2)) (- (/ (/ 1 k) 2))) (sqrt (/ 1 k))) into (* (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) (sqrt k)) 1544000953.757 * [misc]approximate: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) (sqrt k)) in (n k) around 0 1544000953.757 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) (sqrt k)) in k 1544000953.757 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) in k 1544000953.757 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1544000953.758 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1544000953.758 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in k 1544000953.758 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544000953.758 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544000953.758 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000953.758 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544000953.758 * [misc]taylor: Taking taylor expansion of k in k 1544000953.758 * [misc]backup-simplify: Simplify 0 into 0 1544000953.758 * [misc]backup-simplify: Simplify 1 into 1 1544000953.758 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544000953.758 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1544000953.758 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1544000953.758 * [misc]taylor: Taking taylor expansion of 2 in k 1544000953.758 * [misc]backup-simplify: Simplify 2 into 2 1544000953.758 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544000953.758 * [misc]taylor: Taking taylor expansion of PI in k 1544000953.758 * [misc]backup-simplify: Simplify PI into PI 1544000953.758 * [misc]taylor: Taking taylor expansion of n in k 1544000953.758 * [misc]backup-simplify: Simplify n into n 1544000953.758 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544000953.758 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1544000953.758 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1544000953.759 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544000953.759 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544000953.759 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1544000953.759 * [misc]backup-simplify: Simplify (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) 1544000953.759 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1544000953.759 * [misc]taylor: Taking taylor expansion of k in k 1544000953.759 * [misc]backup-simplify: Simplify 0 into 0 1544000953.759 * [misc]backup-simplify: Simplify 1 into 1 1544000953.759 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544000953.760 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544000953.760 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) (sqrt k)) in n 1544000953.760 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) in n 1544000953.760 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1544000953.760 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1544000953.760 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in n 1544000953.760 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544000953.760 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544000953.760 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000953.760 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544000953.760 * [misc]taylor: Taking taylor expansion of k in n 1544000953.760 * [misc]backup-simplify: Simplify k into k 1544000953.760 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544000953.760 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544000953.760 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544000953.760 * [misc]taylor: Taking taylor expansion of 2 in n 1544000953.760 * [misc]backup-simplify: Simplify 2 into 2 1544000953.760 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544000953.761 * [misc]taylor: Taking taylor expansion of PI in n 1544000953.761 * [misc]backup-simplify: Simplify PI into PI 1544000953.761 * [misc]taylor: Taking taylor expansion of n in n 1544000953.761 * [misc]backup-simplify: Simplify 0 into 0 1544000953.761 * [misc]backup-simplify: Simplify 1 into 1 1544000953.761 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544000953.761 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544000953.762 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544000953.762 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544000953.762 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544000953.762 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544000953.763 * [misc]backup-simplify: Simplify (* (- (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1544000953.764 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1544000953.764 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1544000953.764 * [misc]taylor: Taking taylor expansion of k in n 1544000953.764 * [misc]backup-simplify: Simplify k into k 1544000953.764 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1544000953.764 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1544000953.764 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) (sqrt k)) in n 1544000953.764 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) in n 1544000953.764 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1544000953.764 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1544000953.764 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in n 1544000953.764 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544000953.764 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544000953.764 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000953.764 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544000953.764 * [misc]taylor: Taking taylor expansion of k in n 1544000953.764 * [misc]backup-simplify: Simplify k into k 1544000953.764 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544000953.764 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544000953.764 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544000953.764 * [misc]taylor: Taking taylor expansion of 2 in n 1544000953.764 * [misc]backup-simplify: Simplify 2 into 2 1544000953.764 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544000953.764 * [misc]taylor: Taking taylor expansion of PI in n 1544000953.764 * [misc]backup-simplify: Simplify PI into PI 1544000953.764 * [misc]taylor: Taking taylor expansion of n in n 1544000953.765 * [misc]backup-simplify: Simplify 0 into 0 1544000953.765 * [misc]backup-simplify: Simplify 1 into 1 1544000953.765 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544000953.765 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544000953.766 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544000953.766 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544000953.766 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544000953.766 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544000953.767 * [misc]backup-simplify: Simplify (* (- (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1544000953.768 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1544000953.768 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1544000953.768 * [misc]taylor: Taking taylor expansion of k in n 1544000953.768 * [misc]backup-simplify: Simplify k into k 1544000953.768 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1544000953.768 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1544000953.769 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt k)) into (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt k)) 1544000953.769 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt k)) in k 1544000953.769 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1544000953.769 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1544000953.769 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544000953.769 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544000953.769 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1544000953.769 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1544000953.769 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544000953.769 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544000953.769 * [misc]taylor: Taking taylor expansion of 2 in k 1544000953.769 * [misc]backup-simplify: Simplify 2 into 2 1544000953.769 * [misc]taylor: Taking taylor expansion of PI in k 1544000953.769 * [misc]backup-simplify: Simplify PI into PI 1544000953.770 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544000953.770 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544000953.770 * [misc]taylor: Taking taylor expansion of (log n) in k 1544000953.770 * [misc]taylor: Taking taylor expansion of n in k 1544000953.770 * [misc]backup-simplify: Simplify n into n 1544000953.770 * [misc]backup-simplify: Simplify (log n) into (log n) 1544000953.770 * [misc]taylor: Taking taylor expansion of k in k 1544000953.770 * [misc]backup-simplify: Simplify 0 into 0 1544000953.770 * [misc]backup-simplify: Simplify 1 into 1 1544000953.770 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544000953.771 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1544000953.772 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1544000953.772 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1544000953.773 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1544000953.773 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1544000953.773 * [misc]taylor: Taking taylor expansion of k in k 1544000953.773 * [misc]backup-simplify: Simplify 0 into 0 1544000953.773 * [misc]backup-simplify: Simplify 1 into 1 1544000953.773 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544000953.773 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544000953.774 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) into 0 1544000953.774 * [misc]backup-simplify: Simplify 0 into 0 1544000953.774 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544000953.775 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544000953.776 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544000953.778 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544000953.779 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544000953.779 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544000953.779 * [misc]backup-simplify: Simplify (- 0) into 0 1544000953.780 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544000953.780 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1544000953.782 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1544000953.782 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (* 0 (sqrt k))) into 0 1544000953.782 * [misc]taylor: Taking taylor expansion of 0 in k 1544000953.782 * [misc]backup-simplify: Simplify 0 into 0 1544000953.783 * [misc]backup-simplify: Simplify 0 into 0 1544000953.783 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))))) 1544000953.784 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))))) into (- (* +nan.0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))))) 1544000953.785 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1544000953.785 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544000953.786 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000953.787 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544000953.792 * [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 1544000953.792 * [misc]backup-simplify: Simplify (- 0) into 0 1544000953.792 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544000953.793 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544000953.793 * [misc]backup-simplify: Simplify (- 0) into 0 1544000953.794 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544000953.795 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1544000953.797 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544000953.798 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 1544000953.798 * [misc]taylor: Taking taylor expansion of 0 in k 1544000953.798 * [misc]backup-simplify: Simplify 0 into 0 1544000953.798 * [misc]backup-simplify: Simplify 0 into 0 1544000953.798 * [misc]backup-simplify: Simplify 0 into 0 1544000953.799 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544000953.800 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))))) 1544000953.800 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))))) into (- (* +nan.0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))))) 1544000953.801 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1544000953.801 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544000953.802 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000953.804 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544000953.812 * [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 1544000953.812 * [misc]backup-simplify: Simplify (- 0) into 0 1544000953.812 * [misc]backup-simplify: Simplify (- 0) into 0 1544000953.812 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544000953.813 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1544000953.813 * [misc]backup-simplify: Simplify (- 0) into 0 1544000953.814 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544000953.815 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1544000953.818 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1544000953.819 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 1544000953.819 * [misc]taylor: Taking taylor expansion of 0 in k 1544000953.819 * [misc]backup-simplify: Simplify 0 into 0 1544000953.819 * [misc]backup-simplify: Simplify 0 into 0 1544000953.819 * [misc]backup-simplify: Simplify 0 into 0 1544000953.819 * [misc]backup-simplify: Simplify 0 into 0 1544000953.821 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544000953.822 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))))) 1544000953.822 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))))) into (- (* +nan.0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))))) 1544000953.825 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k)))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k)))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k)))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) k)) (- (+ (* +nan.0 (/ (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (pow k 3))) (- (* +nan.0 (/ (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (pow k 2)))))))) 1544000953.825 * [misc]backup-simplify: Simplify (/ (pow (* PI (* (/ 1 (- n)) 2)) (- (/ (/ 1 (- k)) 2))) (sqrt (/ 1 (- k)))) into (/ (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) (sqrt (/ -1 k))) 1544000953.825 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) (sqrt (/ -1 k))) in (n k) around 0 1544000953.825 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) (sqrt (/ -1 k))) in k 1544000953.825 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) in k 1544000953.825 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) in k 1544000953.825 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n)))) in k 1544000953.825 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544000953.825 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544000953.825 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000953.825 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544000953.825 * [misc]taylor: Taking taylor expansion of k in k 1544000953.825 * [misc]backup-simplify: Simplify 0 into 0 1544000953.825 * [misc]backup-simplify: Simplify 1 into 1 1544000953.826 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544000953.826 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1544000953.826 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1544000953.826 * [misc]taylor: Taking taylor expansion of -2 in k 1544000953.826 * [misc]backup-simplify: Simplify -2 into -2 1544000953.826 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544000953.826 * [misc]taylor: Taking taylor expansion of PI in k 1544000953.826 * [misc]backup-simplify: Simplify PI into PI 1544000953.826 * [misc]taylor: Taking taylor expansion of n in k 1544000953.826 * [misc]backup-simplify: Simplify n into n 1544000953.826 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544000953.826 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1544000953.826 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1544000953.826 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544000953.826 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1544000953.827 * [misc]backup-simplify: Simplify (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))) 1544000953.827 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544000953.827 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544000953.827 * [misc]taylor: Taking taylor expansion of -1 in k 1544000953.827 * [misc]backup-simplify: Simplify -1 into -1 1544000953.827 * [misc]taylor: Taking taylor expansion of k in k 1544000953.827 * [misc]backup-simplify: Simplify 0 into 0 1544000953.827 * [misc]backup-simplify: Simplify 1 into 1 1544000953.827 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544000953.827 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544000953.828 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544000953.828 * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))) +nan.0) into (* +nan.0 (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))) 1544000953.828 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) (sqrt (/ -1 k))) in n 1544000953.828 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) in n 1544000953.828 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) in n 1544000953.828 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n)))) in n 1544000953.828 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544000953.828 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544000953.828 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000953.828 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544000953.828 * [misc]taylor: Taking taylor expansion of k in n 1544000953.829 * [misc]backup-simplify: Simplify k into k 1544000953.829 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544000953.829 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544000953.829 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544000953.829 * [misc]taylor: Taking taylor expansion of -2 in n 1544000953.829 * [misc]backup-simplify: Simplify -2 into -2 1544000953.829 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544000953.829 * [misc]taylor: Taking taylor expansion of PI in n 1544000953.829 * [misc]backup-simplify: Simplify PI into PI 1544000953.829 * [misc]taylor: Taking taylor expansion of n in n 1544000953.829 * [misc]backup-simplify: Simplify 0 into 0 1544000953.829 * [misc]backup-simplify: Simplify 1 into 1 1544000953.829 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544000953.830 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544000953.830 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544000953.830 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544000953.831 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544000953.831 * [misc]backup-simplify: Simplify (* (/ 1/2 k) (- (log (* -2 PI)) (log n))) into (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) 1544000953.832 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1544000953.832 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1544000953.832 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544000953.832 * [misc]taylor: Taking taylor expansion of -1 in n 1544000953.832 * [misc]backup-simplify: Simplify -1 into -1 1544000953.832 * [misc]taylor: Taking taylor expansion of k in n 1544000953.832 * [misc]backup-simplify: Simplify k into k 1544000953.832 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544000953.832 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1544000953.832 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544000953.832 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1544000953.833 * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))) 1544000953.833 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) (sqrt (/ -1 k))) in n 1544000953.833 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) in n 1544000953.833 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) in n 1544000953.833 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n)))) in n 1544000953.833 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544000953.833 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544000953.833 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000953.833 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544000953.833 * [misc]taylor: Taking taylor expansion of k in n 1544000953.833 * [misc]backup-simplify: Simplify k into k 1544000953.833 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544000953.833 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544000953.834 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544000953.834 * [misc]taylor: Taking taylor expansion of -2 in n 1544000953.834 * [misc]backup-simplify: Simplify -2 into -2 1544000953.834 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544000953.834 * [misc]taylor: Taking taylor expansion of PI in n 1544000953.834 * [misc]backup-simplify: Simplify PI into PI 1544000953.834 * [misc]taylor: Taking taylor expansion of n in n 1544000953.834 * [misc]backup-simplify: Simplify 0 into 0 1544000953.834 * [misc]backup-simplify: Simplify 1 into 1 1544000953.834 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544000953.834 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544000953.835 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544000953.835 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544000953.835 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544000953.836 * [misc]backup-simplify: Simplify (* (/ 1/2 k) (- (log (* -2 PI)) (log n))) into (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) 1544000953.837 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1544000953.837 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1544000953.837 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544000953.837 * [misc]taylor: Taking taylor expansion of -1 in n 1544000953.837 * [misc]backup-simplify: Simplify -1 into -1 1544000953.837 * [misc]taylor: Taking taylor expansion of k in n 1544000953.837 * [misc]backup-simplify: Simplify k into k 1544000953.837 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544000953.837 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1544000953.837 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544000953.837 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1544000953.838 * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))) 1544000953.838 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 1544000953.838 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k 1544000953.838 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k 1544000953.838 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544000953.838 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000953.838 * [misc]taylor: Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k 1544000953.838 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1544000953.838 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1544000953.838 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1544000953.838 * [misc]taylor: Taking taylor expansion of -2 in k 1544000953.838 * [misc]backup-simplify: Simplify -2 into -2 1544000953.838 * [misc]taylor: Taking taylor expansion of PI in k 1544000953.838 * [misc]backup-simplify: Simplify PI into PI 1544000953.839 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544000953.839 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544000953.839 * [misc]taylor: Taking taylor expansion of (log n) in k 1544000953.839 * [misc]taylor: Taking taylor expansion of n in k 1544000953.839 * [misc]backup-simplify: Simplify n into n 1544000953.839 * [misc]backup-simplify: Simplify (log n) into (log n) 1544000953.839 * [misc]taylor: Taking taylor expansion of k in k 1544000953.839 * [misc]backup-simplify: Simplify 0 into 0 1544000953.839 * [misc]backup-simplify: Simplify 1 into 1 1544000953.839 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544000953.840 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1544000953.840 * [misc]backup-simplify: Simplify (/ (- (log (* -2 PI)) (log n)) 1) into (- (log (* -2 PI)) (log n)) 1544000953.841 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1544000953.842 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1544000953.842 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544000953.842 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544000953.842 * [misc]taylor: Taking taylor expansion of -1 in k 1544000953.842 * [misc]backup-simplify: Simplify -1 into -1 1544000953.842 * [misc]taylor: Taking taylor expansion of k in k 1544000953.842 * [misc]backup-simplify: Simplify 0 into 0 1544000953.842 * [misc]backup-simplify: Simplify 1 into 1 1544000953.842 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544000953.842 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544000953.843 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544000953.843 * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) +nan.0) into (* +nan.0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) 1544000953.844 * [misc]backup-simplify: Simplify (* +nan.0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) into (* +nan.0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) 1544000953.845 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544000953.846 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1544000953.848 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1544000953.848 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544000953.849 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544000953.849 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544000953.850 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1544000953.852 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1544000953.852 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0 1544000953.852 * [misc]taylor: Taking taylor expansion of 0 in k 1544000953.853 * [misc]backup-simplify: Simplify 0 into 0 1544000953.853 * [misc]backup-simplify: Simplify 0 into 0 1544000953.853 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1544000953.854 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544000953.855 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1544000953.855 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into (- (* +nan.0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1544000953.856 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000953.857 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1544000953.860 * [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 1544000953.860 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544000953.860 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544000953.861 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544000953.861 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1544000953.862 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544000953.862 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544000953.863 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1544000953.863 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0 1544000953.863 * [misc]taylor: Taking taylor expansion of 0 in k 1544000953.863 * [misc]backup-simplify: Simplify 0 into 0 1544000953.863 * [misc]backup-simplify: Simplify 0 into 0 1544000953.864 * [misc]backup-simplify: Simplify 0 into 0 1544000953.864 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000953.864 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544000953.865 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1544000953.866 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into (- (* +nan.0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1544000953.867 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k)))))))) into (- (+ (* +nan.0 (/ (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) k)) (- (+ (* +nan.0 (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k)))) (- (* +nan.0 (/ (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) (pow k 2)))))))) 1544000953.867 * * * [misc]progress: simplifying candidates 1544000953.867 * * * * [misc]progress: [ 1 / 101 ] simplifiying candidate # 1544000953.867 * * * * [misc]progress: [ 2 / 101 ] simplifiying candidate # 1544000953.867 * * * * [misc]progress: [ 3 / 101 ] simplifiying candidate # 1544000953.868 * * * * [misc]progress: [ 4 / 101 ] simplifiying candidate # 1544000953.868 * * * * [misc]progress: [ 5 / 101 ] simplifiying candidate # 1544000953.868 * * * * [misc]progress: [ 6 / 101 ] simplifiying candidate # 1544000953.868 * * * * [misc]progress: [ 7 / 101 ] simplifiying candidate # 1544000953.868 * * * * [misc]progress: [ 8 / 101 ] simplifiying candidate # 1544000953.868 * * * * [misc]progress: [ 9 / 101 ] simplifiying candidate # 1544000953.868 * * * * [misc]progress: [ 10 / 101 ] simplifiying candidate # 1544000953.868 * * * * [misc]progress: [ 11 / 101 ] simplifiying candidate # 1544000953.868 * * * * [misc]progress: [ 12 / 101 ] simplifiying candidate # 1544000953.868 * * * * [misc]progress: [ 13 / 101 ] simplifiying candidate # 1544000953.868 * * * * [misc]progress: [ 14 / 101 ] simplifiying candidate # 1544000953.868 * * * * [misc]progress: [ 15 / 101 ] simplifiying candidate # 1544000953.868 * * * * [misc]progress: [ 16 / 101 ] simplifiying candidate # 1544000953.868 * * * * [misc]progress: [ 17 / 101 ] simplifiying candidate # 1544000953.868 * * * * [misc]progress: [ 18 / 101 ] simplifiying candidate # 1544000953.868 * * * * [misc]progress: [ 19 / 101 ] simplifiying candidate # 1544000953.868 * [enter]simplify: Simplifying (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))) 1544000953.868 * * [misc]simplify: iters left: 6 (15 enodes) 1544000953.871 * * [misc]simplify: iters left: 5 (27 enodes) 1544000953.874 * * [misc]simplify: iters left: 4 (35 enodes) 1544000953.879 * * [misc]simplify: iters left: 3 (37 enodes) 1544000953.883 * * [misc]simplify: iters left: 2 (39 enodes) 1544000953.887 * * [misc]simplify: iters left: 1 (40 enodes) 1544000953.892 * [exit]simplify: Simplified to (* (pow (* (* PI 2) n) (- (/ k 2))) (/ (sqrt (* (* PI 2) n)) (sqrt k))) 1544000953.892 * [misc]simplify: Simplified (2 1) to (λ (k n) (pow (* (pow (* (* PI 2) n) (- (/ k 2))) (/ (sqrt (* (* PI 2) n)) (sqrt k))) 1)) 1544000953.892 * * * * [misc]progress: [ 20 / 101 ] simplifiying candidate # 1544000953.892 * * * * [misc]progress: [ 21 / 101 ] simplifiying candidate # 1544000953.892 * [enter]simplify: Simplifying (+ (log (sqrt (* (* PI 2) n))) (- (* (log (* PI (* n 2))) (- (/ k 2))) (log (sqrt k)))) 1544000953.892 * * [misc]simplify: iters left: 6 (18 enodes) 1544000953.895 * * [misc]simplify: iters left: 5 (38 enodes) 1544000953.902 * * [misc]simplify: iters left: 4 (73 enodes) 1544000953.924 * * [misc]simplify: iters left: 3 (172 enodes) 1544000953.978 * * [misc]simplify: iters left: 2 (470 enodes) 1544000954.219 * [exit]simplify: Simplified to (- (log (sqrt (* 2 (* n PI)))) (+ (+ (log (sqrt k)) (* (/ k 2) (log n))) (* (log (* PI 2)) (/ k 2)))) 1544000954.220 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (log (sqrt (* 2 (* n PI)))) (+ (+ (log (sqrt k)) (* (/ k 2) (log n))) (* (log (* PI 2)) (/ k 2)))))) 1544000954.220 * * * * [misc]progress: [ 22 / 101 ] simplifiying candidate # 1544000954.220 * [enter]simplify: Simplifying (+ (log (sqrt (* (* PI 2) n))) (- (* (log (* PI (* n 2))) (- (/ k 2))) (log (sqrt k)))) 1544000954.220 * * [misc]simplify: iters left: 6 (18 enodes) 1544000954.223 * * [misc]simplify: iters left: 5 (38 enodes) 1544000954.229 * * [misc]simplify: iters left: 4 (73 enodes) 1544000954.252 * * [misc]simplify: iters left: 3 (172 enodes) 1544000954.338 * * [misc]simplify: iters left: 2 (470 enodes) 1544000954.643 * [exit]simplify: Simplified to (- (log (sqrt (* 2 (* n PI)))) (+ (+ (log (sqrt k)) (* (/ k 2) (log n))) (* (log (* PI 2)) (/ k 2)))) 1544000954.643 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (log (sqrt (* 2 (* n PI)))) (+ (+ (log (sqrt k)) (* (/ k 2) (log n))) (* (log (* PI 2)) (/ k 2)))))) 1544000954.643 * * * * [misc]progress: [ 23 / 101 ] simplifiying candidate # 1544000954.644 * [enter]simplify: Simplifying (+ (log (sqrt (* (* PI 2) n))) (- (log (pow (* PI (* n 2)) (- (/ k 2)))) (log (sqrt k)))) 1544000954.644 * * [misc]simplify: iters left: 6 (18 enodes) 1544000954.650 * * [misc]simplify: iters left: 5 (34 enodes) 1544000954.660 * * [misc]simplify: iters left: 4 (63 enodes) 1544000954.674 * * [misc]simplify: iters left: 3 (160 enodes) 1544000954.770 * [exit]simplify: Simplified to (- (log (sqrt (* (* PI 2) n))) (+ (* (log (* PI 2)) (/ k 2)) (+ (* (log n) (/ k 2)) (log (sqrt k))))) 1544000954.770 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (log (sqrt (* (* PI 2) n))) (+ (* (log (* PI 2)) (/ k 2)) (+ (* (log n) (/ k 2)) (log (sqrt k))))))) 1544000954.770 * * * * [misc]progress: [ 24 / 101 ] simplifiying candidate # 1544000954.770 * [enter]simplify: Simplifying (+ (log (sqrt (* (* PI 2) n))) (log (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1544000954.771 * * [misc]simplify: iters left: 6 (17 enodes) 1544000954.776 * * [misc]simplify: iters left: 5 (30 enodes) 1544000954.784 * * [misc]simplify: iters left: 4 (42 enodes) 1544000954.796 * * [misc]simplify: iters left: 3 (68 enodes) 1544000954.816 * * [misc]simplify: iters left: 2 (175 enodes) 1544000954.931 * [exit]simplify: Simplified to (- (log (sqrt (* 2 (* n PI)))) (+ (+ (log (sqrt k)) (* (/ k 2) (log n))) (* (log (* PI 2)) (/ k 2)))) 1544000954.931 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (log (sqrt (* 2 (* n PI)))) (+ (+ (log (sqrt k)) (* (/ k 2) (log n))) (* (log (* PI 2)) (/ k 2)))))) 1544000954.931 * * * * [misc]progress: [ 25 / 101 ] simplifiying candidate # 1544000954.932 * * * * [misc]progress: [ 26 / 101 ] simplifiying candidate # 1544000954.932 * * * * [misc]progress: [ 27 / 101 ] simplifiying candidate # 1544000954.932 * [enter]simplify: Simplifying (* (* (* (sqrt (* (* PI 2) n)) (sqrt (* (* PI 2) n))) (sqrt (* (* PI 2) n))) (/ (* (* (pow (* PI (* n 2)) (- (/ k 2))) (pow (* PI (* n 2)) (- (/ k 2)))) (pow (* PI (* n 2)) (- (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k)))) 1544000954.932 * * [misc]simplify: iters left: 6 (21 enodes) 1544000954.936 * * [misc]simplify: iters left: 5 (46 enodes) 1544000954.945 * * [misc]simplify: iters left: 4 (154 enodes) 1544000955.395 * [exit]simplify: Simplified to (* (/ (sqrt (* (* n PI) 2)) (/ k (* (* n PI) 2))) (* (* (pow (* (* n PI) 2) (- (/ k 2))) (pow (* (* n PI) 2) (- (/ k 2)))) (/ (pow (* (* n PI) 2) (- (/ k 2))) (sqrt k)))) 1544000955.395 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (/ (sqrt (* (* n PI) 2)) (/ k (* (* n PI) 2))) (* (* (pow (* (* n PI) 2) (- (/ k 2))) (pow (* (* n PI) 2) (- (/ k 2)))) (/ (pow (* (* n PI) 2) (- (/ k 2))) (sqrt k)))))) 1544000955.395 * * * * [misc]progress: [ 28 / 101 ] simplifiying candidate # 1544000955.395 * [enter]simplify: Simplifying (* (* (* (sqrt (* (* PI 2) n)) (sqrt (* (* PI 2) n))) (sqrt (* (* PI 2) n))) (* (* (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1544000955.396 * * [misc]simplify: iters left: 6 (19 enodes) 1544000955.399 * * [misc]simplify: iters left: 5 (42 enodes) 1544000955.407 * * [misc]simplify: iters left: 4 (132 enodes) 1544000955.470 * [exit]simplify: Simplified to (* (* (* (* PI (* n 2)) (sqrt (* PI (* n 2)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))) (* (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1544000955.470 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (* (* (* PI (* n 2)) (sqrt (* PI (* n 2)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))) (* (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))))) 1544000955.470 * * * * [misc]progress: [ 29 / 101 ] simplifiying candidate # 1544000955.470 * * * * [misc]progress: [ 30 / 101 ] simplifiying candidate # 1544000955.470 * * * * [misc]progress: [ 31 / 101 ] simplifiying candidate # 1544000955.470 * * * * [misc]progress: [ 32 / 101 ] simplifiying candidate # 1544000955.470 * * * * [misc]progress: [ 33 / 101 ] simplifiying candidate # 1544000955.470 * [enter]simplify: Simplifying (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))) 1544000955.470 * * [misc]simplify: iters left: 6 (12 enodes) 1544000955.472 * * [misc]simplify: iters left: 5 (18 enodes) 1544000955.474 * * [misc]simplify: iters left: 4 (24 enodes) 1544000955.478 * * [misc]simplify: iters left: 3 (25 enodes) 1544000955.481 * [exit]simplify: Simplified to (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k))) 1544000955.481 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (* (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))) (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))) (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k))))) 1544000955.481 * * * * [misc]progress: [ 34 / 101 ] simplifiying candidate # 1544000955.481 * [enter]simplify: Simplifying (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))) 1544000955.481 * * [misc]simplify: iters left: 6 (12 enodes) 1544000955.483 * * [misc]simplify: iters left: 5 (18 enodes) 1544000955.485 * * [misc]simplify: iters left: 4 (24 enodes) 1544000955.488 * * [misc]simplify: iters left: 3 (25 enodes) 1544000955.491 * [exit]simplify: Simplified to (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k))) 1544000955.491 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k))))) 1544000955.491 * * * * [misc]progress: [ 35 / 101 ] simplifiying candidate # 1544000955.492 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) 1544000955.492 * * [misc]simplify: iters left: 6 (10 enodes) 1544000955.493 * * [misc]simplify: iters left: 5 (13 enodes) 1544000955.495 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) 1544000955.495 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (pow PI (- (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))))) 1544000955.495 * * * * [misc]progress: [ 36 / 101 ] simplifiying candidate # 1544000955.495 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) 1544000955.495 * * [misc]simplify: iters left: 6 (10 enodes) 1544000955.497 * * [misc]simplify: iters left: 5 (13 enodes) 1544000955.498 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) 1544000955.498 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (pow PI (- (/ k 2))) (sqrt (sqrt k)))) (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))))) 1544000955.498 * * * * [misc]progress: [ 37 / 101 ] simplifiying candidate # 1544000955.499 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1544000955.499 * * [misc]simplify: iters left: 6 (9 enodes) 1544000955.500 * * [misc]simplify: iters left: 5 (12 enodes) 1544000955.501 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1544000955.502 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (pow PI (- (/ k 2))) 1)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k)))) 1544000955.502 * * * * [misc]progress: [ 38 / 101 ] simplifiying candidate # 1544000955.502 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt k))) 1544000955.502 * * [misc]simplify: iters left: 6 (13 enodes) 1544000955.504 * * [misc]simplify: iters left: 5 (19 enodes) 1544000955.506 * * [misc]simplify: iters left: 4 (25 enodes) 1544000955.509 * * [misc]simplify: iters left: 3 (26 enodes) 1544000955.512 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt k))) 1544000955.512 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt k))))) 1544000955.512 * * * * [misc]progress: [ 39 / 101 ] simplifiying candidate # 1544000955.513 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) 1544000955.513 * * [misc]simplify: iters left: 6 (13 enodes) 1544000955.515 * * [misc]simplify: iters left: 5 (19 enodes) 1544000955.517 * * [misc]simplify: iters left: 4 (25 enodes) 1544000955.520 * * [misc]simplify: iters left: 3 (26 enodes) 1544000955.523 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) 1544000955.523 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))))) 1544000955.523 * * * * [misc]progress: [ 40 / 101 ] simplifiying candidate # 1544000955.524 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)) 1544000955.524 * * [misc]simplify: iters left: 6 (12 enodes) 1544000955.525 * * [misc]simplify: iters left: 5 (18 enodes) 1544000955.528 * * [misc]simplify: iters left: 4 (24 enodes) 1544000955.531 * * [misc]simplify: iters left: 3 (25 enodes) 1544000955.538 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k)) 1544000955.538 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) 1)) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k)))) 1544000955.538 * * * * [misc]progress: [ 41 / 101 ] simplifiying candidate # 1544000955.538 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt k))) 1544000955.539 * * [misc]simplify: iters left: 6 (13 enodes) 1544000955.543 * * [misc]simplify: iters left: 5 (19 enodes) 1544000955.548 * * [misc]simplify: iters left: 4 (25 enodes) 1544000955.555 * * [misc]simplify: iters left: 3 (26 enodes) 1544000955.561 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt k))) 1544000955.561 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt k))))) 1544000955.561 * * * * [misc]progress: [ 42 / 101 ] simplifiying candidate # 1544000955.562 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) 1544000955.562 * * [misc]simplify: iters left: 6 (13 enodes) 1544000955.566 * * [misc]simplify: iters left: 5 (19 enodes) 1544000955.571 * * [misc]simplify: iters left: 4 (25 enodes) 1544000955.577 * * [misc]simplify: iters left: 3 (26 enodes) 1544000955.584 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) 1544000955.584 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))))) 1544000955.584 * * * * [misc]progress: [ 43 / 101 ] simplifiying candidate # 1544000955.584 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)) 1544000955.584 * * [misc]simplify: iters left: 6 (12 enodes) 1544000955.588 * * [misc]simplify: iters left: 5 (18 enodes) 1544000955.593 * * [misc]simplify: iters left: 4 (24 enodes) 1544000955.599 * * [misc]simplify: iters left: 3 (25 enodes) 1544000955.606 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k)) 1544000955.606 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) 1)) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k)))) 1544000955.606 * * * * [misc]progress: [ 44 / 101 ] simplifiying candidate # 1544000955.606 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1544000955.606 * * [misc]simplify: iters left: 6 (12 enodes) 1544000955.610 * * [misc]simplify: iters left: 5 (18 enodes) 1544000955.615 * * [misc]simplify: iters left: 4 (24 enodes) 1544000955.621 * * [misc]simplify: iters left: 3 (25 enodes) 1544000955.627 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1544000955.627 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))))) 1544000955.627 * * * * [misc]progress: [ 45 / 101 ] simplifiying candidate # 1544000955.628 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1544000955.628 * * [misc]simplify: iters left: 6 (12 enodes) 1544000955.631 * * [misc]simplify: iters left: 5 (18 enodes) 1544000955.637 * * [misc]simplify: iters left: 4 (24 enodes) 1544000955.643 * * [misc]simplify: iters left: 3 (25 enodes) 1544000955.649 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1544000955.649 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ 1 (sqrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))))) 1544000955.649 * * * * [misc]progress: [ 46 / 101 ] simplifiying candidate # 1544000955.650 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1544000955.650 * * [misc]simplify: iters left: 6 (11 enodes) 1544000955.653 * * [misc]simplify: iters left: 5 (17 enodes) 1544000955.658 * * [misc]simplify: iters left: 4 (23 enodes) 1544000955.664 * * [misc]simplify: iters left: 3 (24 enodes) 1544000955.669 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1544000955.669 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ 1 1)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1544000955.669 * * * * [misc]progress: [ 47 / 101 ] simplifiying candidate # 1544000955.670 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1544000955.670 * * [misc]simplify: iters left: 6 (11 enodes) 1544000955.673 * * [misc]simplify: iters left: 5 (17 enodes) 1544000955.677 * * [misc]simplify: iters left: 4 (23 enodes) 1544000955.682 * * [misc]simplify: iters left: 3 (24 enodes) 1544000955.688 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1544000955.688 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) 1) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1544000955.689 * * * * [misc]progress: [ 48 / 101 ] simplifiying candidate # 1544000955.689 * [enter]simplify: Simplifying (/ 1 (sqrt k)) 1544000955.689 * * [misc]simplify: iters left: 3 (4 enodes) 1544000955.690 * * [misc]simplify: iters left: 2 (6 enodes) 1544000955.691 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1544000955.691 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (pow (* PI (* n 2)) (- (/ k 2)))) (/ 1 (sqrt k)))) 1544000955.691 * * * * [misc]progress: [ 49 / 101 ] simplifiying candidate # 1544000955.692 * [enter]simplify: Simplifying (* (cbrt (sqrt (* (* PI 2) n))) (cbrt (sqrt (* (* PI 2) n)))) 1544000955.692 * * [misc]simplify: iters left: 6 (8 enodes) 1544000955.694 * * [misc]simplify: iters left: 5 (12 enodes) 1544000955.698 * * [misc]simplify: iters left: 4 (18 enodes) 1544000955.702 * * [misc]simplify: iters left: 3 (20 enodes) 1544000955.706 * [exit]simplify: Simplified to (* (cbrt (sqrt (* PI (* n 2)))) (cbrt (sqrt (* PI (* n 2))))) 1544000955.706 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (sqrt (* PI (* n 2)))) (cbrt (sqrt (* PI (* n 2))))) (* (cbrt (sqrt (* (* PI 2) n))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))) 1544000955.706 * * * * [misc]progress: [ 50 / 101 ] simplifiying candidate # 1544000955.707 * [enter]simplify: Simplifying (sqrt (* PI 2)) 1544000955.707 * * [misc]simplify: iters left: 3 (4 enodes) 1544000955.708 * * [misc]simplify: iters left: 2 (5 enodes) 1544000955.709 * [exit]simplify: Simplified to (sqrt (* PI 2)) 1544000955.709 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* PI 2)) (* (sqrt n) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))) 1544000955.709 * * * * [misc]progress: [ 51 / 101 ] simplifiying candidate # 1544000955.709 * [enter]simplify: Simplifying (sqrt (sqrt (* (* PI 2) n))) 1544000955.709 * * [misc]simplify: iters left: 6 (7 enodes) 1544000955.711 * * [misc]simplify: iters left: 5 (11 enodes) 1544000955.714 * * [misc]simplify: iters left: 4 (17 enodes) 1544000955.718 * * [misc]simplify: iters left: 3 (19 enodes) 1544000955.722 * [exit]simplify: Simplified to (sqrt (sqrt (* (* PI 2) n))) 1544000955.722 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (sqrt (* (* PI 2) n))) (* (sqrt (sqrt (* (* PI 2) n))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))) 1544000955.722 * * * * [misc]progress: [ 52 / 101 ] simplifiying candidate # 1544000955.722 * * * * [misc]progress: [ 53 / 101 ] simplifiying candidate # 1544000955.722 * [enter]simplify: Simplifying (sqrt k) 1544000955.722 * * [misc]simplify: iters left: 1 (2 enodes) 1544000955.723 * [exit]simplify: Simplified to (sqrt k) 1544000955.723 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (* (sqrt (* (* PI 2) n)) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k))) 1544000955.723 * * * * [misc]progress: [ 54 / 101 ] simplifiying candidate # 1544000955.723 * * * * [misc]progress: [ 55 / 101 ] simplifiying candidate # 1544000955.723 * * * * [misc]progress: [ 56 / 101 ] simplifiying candidate # 1544000955.723 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- (/ k 2))) (log (sqrt k))) 1544000955.723 * * [misc]simplify: iters left: 6 (13 enodes) 1544000955.727 * * [misc]simplify: iters left: 5 (27 enodes) 1544000955.735 * * [misc]simplify: iters left: 4 (57 enodes) 1544000955.753 * * [misc]simplify: iters left: 3 (141 enodes) 1544000955.804 * * [misc]simplify: iters left: 2 (338 enodes) 1544000955.962 * [exit]simplify: Simplified to (- (* (log (* 2 n)) (/ (- k) 2)) (+ (/ (log PI) (/ 2 k)) (log (sqrt k)))) 1544000955.962 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (exp (- (* (log (* 2 n)) (/ (- k) 2)) (+ (/ (log PI) (/ 2 k)) (log (sqrt k))))))) 1544000955.962 * * * * [misc]progress: [ 57 / 101 ] simplifiying candidate # 1544000955.963 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- (/ k 2))) (log (sqrt k))) 1544000955.963 * * [misc]simplify: iters left: 6 (13 enodes) 1544000955.967 * * [misc]simplify: iters left: 5 (27 enodes) 1544000955.976 * * [misc]simplify: iters left: 4 (57 enodes) 1544000955.996 * * [misc]simplify: iters left: 3 (141 enodes) 1544000956.030 * * [misc]simplify: iters left: 2 (338 enodes) 1544000956.184 * [exit]simplify: Simplified to (- (* (log (* 2 n)) (/ (- k) 2)) (+ (/ (log PI) (/ 2 k)) (log (sqrt k)))) 1544000956.184 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (exp (- (* (log (* 2 n)) (/ (- k) 2)) (+ (/ (log PI) (/ 2 k)) (log (sqrt k))))))) 1544000956.184 * * * * [misc]progress: [ 58 / 101 ] simplifiying candidate # 1544000956.184 * [enter]simplify: Simplifying (- (log (pow (* PI (* n 2)) (- (/ k 2)))) (log (sqrt k))) 1544000956.185 * * [misc]simplify: iters left: 6 (13 enodes) 1544000956.188 * * [misc]simplify: iters left: 5 (23 enodes) 1544000956.196 * * [misc]simplify: iters left: 4 (42 enodes) 1544000956.209 * * [misc]simplify: iters left: 3 (107 enodes) 1544000956.258 * * [misc]simplify: iters left: 2 (287 enodes) 1544000956.370 * [exit]simplify: Simplified to (- (/ (log (* (* 2 n) PI)) (/ 2 (- k))) (log (sqrt k))) 1544000956.371 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (exp (- (/ (log (* (* 2 n) PI)) (/ 2 (- k))) (log (sqrt k)))))) 1544000956.371 * * * * [misc]progress: [ 59 / 101 ] simplifiying candidate # 1544000956.371 * * * * [misc]progress: [ 60 / 101 ] simplifiying candidate # 1544000956.371 * * * * [misc]progress: [ 61 / 101 ] simplifiying candidate # 1544000956.371 * [enter]simplify: Simplifying (/ (* (* (pow (* PI (* n 2)) (- (/ k 2))) (pow (* PI (* n 2)) (- (/ k 2)))) (pow (* PI (* n 2)) (- (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 1544000956.371 * * [misc]simplify: iters left: 6 (15 enodes) 1544000956.374 * * [misc]simplify: iters left: 5 (30 enodes) 1544000956.380 * * [misc]simplify: iters left: 4 (63 enodes) 1544000956.390 * * [misc]simplify: iters left: 3 (112 enodes) 1544000956.424 * * [misc]simplify: iters left: 2 (189 enodes) 1544000956.521 * * [misc]simplify: iters left: 1 (318 enodes) 1544000956.731 * [exit]simplify: Simplified to (* (* (pow (* (* 2 n) PI) (- (/ k 2))) (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (* (sqrt k) k))) 1544000956.731 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (cbrt (* (* (pow (* (* 2 n) PI) (- (/ k 2))) (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (* (sqrt k) k)))))) 1544000956.732 * * * * [misc]progress: [ 62 / 101 ] simplifiying candidate # 1544000956.732 * * * * [misc]progress: [ 63 / 101 ] simplifiying candidate # 1544000956.732 * * * * [misc]progress: [ 64 / 101 ] simplifiying candidate # 1544000956.732 * * * * [misc]progress: [ 65 / 101 ] simplifiying candidate # 1544000956.732 * * * * [misc]progress: [ 66 / 101 ] simplifiying candidate # 1544000956.732 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544000956.732 * * [misc]simplify: iters left: 6 (10 enodes) 1544000956.735 * * [misc]simplify: iters left: 5 (14 enodes) 1544000956.739 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544000956.740 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (/ (- k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k)))))) 1544000956.740 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) 1544000956.740 * * [misc]simplify: iters left: 6 (10 enodes) 1544000956.743 * * [misc]simplify: iters left: 5 (13 enodes) 1544000956.747 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) 1544000956.747 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (- (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k)))))) 1544000956.747 * * * * [misc]progress: [ 67 / 101 ] simplifiying candidate # 1544000956.747 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (sqrt (sqrt k))) 1544000956.747 * * [misc]simplify: iters left: 6 (9 enodes) 1544000956.750 * * [misc]simplify: iters left: 5 (11 enodes) 1544000956.753 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) 1544000956.753 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k)))))) 1544000956.753 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) 1544000956.754 * * [misc]simplify: iters left: 6 (10 enodes) 1544000956.757 * * [misc]simplify: iters left: 5 (13 enodes) 1544000956.760 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) 1544000956.761 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (- (/ k 2))) (sqrt (sqrt k))) (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k)))))) 1544000956.761 * * * * [misc]progress: [ 68 / 101 ] simplifiying candidate # 1544000956.761 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) 1) 1544000956.761 * * [misc]simplify: iters left: 6 (8 enodes) 1544000956.763 * * [misc]simplify: iters left: 5 (12 enodes) 1544000956.767 * * [misc]simplify: iters left: 4 (14 enodes) 1544000956.770 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1544000956.770 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (pow PI (/ (- k) 2)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k))))) 1544000956.771 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1544000956.771 * * [misc]simplify: iters left: 6 (9 enodes) 1544000956.773 * * [misc]simplify: iters left: 5 (12 enodes) 1544000956.777 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1544000956.777 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (pow PI (/ (- k) 2)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k))))) 1544000956.777 * * * * [misc]progress: [ 69 / 101 ] simplifiying candidate # 1544000956.777 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544000956.778 * * [misc]simplify: iters left: 6 (15 enodes) 1544000956.782 * * [misc]simplify: iters left: 5 (27 enodes) 1544000956.789 * * [misc]simplify: iters left: 4 (42 enodes) 1544000956.799 * * [misc]simplify: iters left: 3 (46 enodes) 1544000956.809 * * [misc]simplify: iters left: 2 (49 enodes) 1544000956.820 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt k)))) 1544000956.820 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt k)))))) 1544000956.821 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt k))) 1544000956.821 * * [misc]simplify: iters left: 6 (13 enodes) 1544000956.824 * * [misc]simplify: iters left: 5 (19 enodes) 1544000956.829 * * [misc]simplify: iters left: 4 (25 enodes) 1544000956.838 * * [misc]simplify: iters left: 3 (26 enodes) 1544000956.844 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt k))) 1544000956.844 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt k)))))) 1544000956.844 * * * * [misc]progress: [ 70 / 101 ] simplifiying candidate # 1544000956.845 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt k))) 1544000956.845 * * [misc]simplify: iters left: 6 (14 enodes) 1544000956.849 * * [misc]simplify: iters left: 5 (22 enodes) 1544000956.856 * * [misc]simplify: iters left: 4 (30 enodes) 1544000956.864 * * [misc]simplify: iters left: 3 (32 enodes) 1544000956.873 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) 1544000956.873 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k)))))) 1544000956.873 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) 1544000956.873 * * [misc]simplify: iters left: 6 (13 enodes) 1544000956.877 * * [misc]simplify: iters left: 5 (19 enodes) 1544000956.883 * * [misc]simplify: iters left: 4 (25 enodes) 1544000956.889 * * [misc]simplify: iters left: 3 (26 enodes) 1544000956.896 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) 1544000956.896 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k)))))) 1544000956.896 * * * * [misc]progress: [ 71 / 101 ] simplifiying candidate # 1544000956.896 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) 1) 1544000956.896 * * [misc]simplify: iters left: 6 (13 enodes) 1544000956.900 * * [misc]simplify: iters left: 5 (23 enodes) 1544000956.903 * * [misc]simplify: iters left: 4 (35 enodes) 1544000956.908 * * [misc]simplify: iters left: 3 (50 enodes) 1544000956.914 * * [misc]simplify: iters left: 2 (76 enodes) 1544000956.925 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) 1544000956.925 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k))))) 1544000956.925 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)) 1544000956.925 * * [misc]simplify: iters left: 6 (12 enodes) 1544000956.929 * * [misc]simplify: iters left: 5 (18 enodes) 1544000956.934 * * [misc]simplify: iters left: 4 (24 enodes) 1544000956.940 * * [misc]simplify: iters left: 3 (25 enodes) 1544000956.943 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k)) 1544000956.943 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k))))) 1544000956.943 * * * * [misc]progress: [ 72 / 101 ] simplifiying candidate # 1544000956.943 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544000956.943 * * [misc]simplify: iters left: 6 (14 enodes) 1544000956.945 * * [misc]simplify: iters left: 5 (22 enodes) 1544000956.948 * * [misc]simplify: iters left: 4 (28 enodes) 1544000956.954 * * [misc]simplify: iters left: 3 (29 enodes) 1544000956.957 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544000956.958 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt k)))))) 1544000956.958 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt k))) 1544000956.958 * * [misc]simplify: iters left: 6 (13 enodes) 1544000956.960 * * [misc]simplify: iters left: 5 (19 enodes) 1544000956.962 * * [misc]simplify: iters left: 4 (25 enodes) 1544000956.966 * * [misc]simplify: iters left: 3 (26 enodes) 1544000956.969 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt k))) 1544000956.969 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt k)))))) 1544000956.969 * * * * [misc]progress: [ 73 / 101 ] simplifiying candidate # 1544000956.969 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) 1544000956.969 * * [misc]simplify: iters left: 6 (13 enodes) 1544000956.971 * * [misc]simplify: iters left: 5 (19 enodes) 1544000956.974 * * [misc]simplify: iters left: 4 (25 enodes) 1544000956.978 * * [misc]simplify: iters left: 3 (26 enodes) 1544000956.985 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) 1544000956.985 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k)))))) 1544000956.985 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) 1544000956.985 * * [misc]simplify: iters left: 6 (13 enodes) 1544000956.988 * * [misc]simplify: iters left: 5 (19 enodes) 1544000956.991 * * [misc]simplify: iters left: 4 (25 enodes) 1544000956.994 * * [misc]simplify: iters left: 3 (26 enodes) 1544000956.997 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) 1544000956.997 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k)))))) 1544000956.997 * * * * [misc]progress: [ 74 / 101 ] simplifiying candidate # 1544000956.997 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) 1) 1544000956.997 * * [misc]simplify: iters left: 6 (12 enodes) 1544000956.999 * * [misc]simplify: iters left: 5 (20 enodes) 1544000957.003 * * [misc]simplify: iters left: 4 (28 enodes) 1544000957.006 * * [misc]simplify: iters left: 3 (30 enodes) 1544000957.009 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) 1544000957.009 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k))))) 1544000957.010 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)) 1544000957.010 * * [misc]simplify: iters left: 6 (12 enodes) 1544000957.011 * * [misc]simplify: iters left: 5 (18 enodes) 1544000957.017 * * [misc]simplify: iters left: 4 (24 enodes) 1544000957.023 * * [misc]simplify: iters left: 3 (25 enodes) 1544000957.029 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k)) 1544000957.029 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k))))) 1544000957.030 * * * * [misc]progress: [ 75 / 101 ] simplifiying candidate # 1544000957.030 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544000957.030 * * [misc]simplify: iters left: 6 (6 enodes) 1544000957.032 * * [misc]simplify: iters left: 5 (10 enodes) 1544000957.035 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1544000957.035 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k)))))) 1544000957.035 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1544000957.035 * * [misc]simplify: iters left: 6 (12 enodes) 1544000957.039 * * [misc]simplify: iters left: 5 (18 enodes) 1544000957.044 * * [misc]simplify: iters left: 4 (24 enodes) 1544000957.050 * * [misc]simplify: iters left: 3 (25 enodes) 1544000957.057 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1544000957.057 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k)))))) 1544000957.058 * * * * [misc]progress: [ 76 / 101 ] simplifiying candidate # 1544000957.058 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1544000957.058 * * [misc]simplify: iters left: 4 (5 enodes) 1544000957.059 * * [misc]simplify: iters left: 3 (7 enodes) 1544000957.061 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1544000957.061 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))))) 1544000957.061 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1544000957.061 * * [misc]simplify: iters left: 6 (12 enodes) 1544000957.065 * * [misc]simplify: iters left: 5 (18 enodes) 1544000957.070 * * [misc]simplify: iters left: 4 (24 enodes) 1544000957.077 * * [misc]simplify: iters left: 3 (25 enodes) 1544000957.083 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1544000957.083 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))))) 1544000957.083 * * * * [misc]progress: [ 77 / 101 ] simplifiying candidate # 1544000957.083 * [enter]simplify: Simplifying (/ 1 1) 1544000957.083 * * [misc]simplify: iters left: 2 (2 enodes) 1544000957.084 * * [misc]simplify: iters left: 1 (4 enodes) 1544000957.085 * [exit]simplify: Simplified to 1 1544000957.085 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* 1 (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))) 1544000957.085 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1544000957.085 * * [misc]simplify: iters left: 6 (11 enodes) 1544000957.088 * * [misc]simplify: iters left: 5 (17 enodes) 1544000957.093 * * [misc]simplify: iters left: 4 (23 enodes) 1544000957.099 * * [misc]simplify: iters left: 3 (24 enodes) 1544000957.105 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1544000957.105 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* 1 (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k))))) 1544000957.105 * * * * [misc]progress: [ 78 / 101 ] simplifiying candidate # 1544000957.105 * * * * [misc]progress: [ 79 / 101 ] simplifiying candidate # 1544000957.105 * * * * [misc]progress: [ 80 / 101 ] simplifiying candidate # 1544000957.105 * * * * [misc]progress: [ 81 / 101 ] simplifiying candidate # 1544000957.106 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1544000957.106 * * [misc]simplify: iters left: 2 (3 enodes) 1544000957.107 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1544000957.107 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))) 1544000957.107 * * * * [misc]progress: [ 82 / 101 ] simplifiying candidate # 1544000957.107 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1544000957.107 * * [misc]simplify: iters left: 2 (3 enodes) 1544000957.108 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1544000957.108 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))) 1544000957.108 * * * * [misc]progress: [ 83 / 101 ] simplifiying candidate # 1544000957.108 * [enter]simplify: Simplifying (sqrt k) 1544000957.108 * * [misc]simplify: iters left: 1 (2 enodes) 1544000957.109 * [exit]simplify: Simplified to (sqrt k) 1544000957.109 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) 1) (sqrt k)))) 1544000957.109 * * * * [misc]progress: [ 84 / 101 ] simplifiying candidate # 1544000957.109 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1544000957.109 * * [misc]simplify: iters left: 5 (6 enodes) 1544000957.111 * * [misc]simplify: iters left: 4 (8 enodes) 1544000957.113 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1544000957.113 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1544000957.113 * * * * [misc]progress: [ 85 / 101 ] simplifiying candidate # 1544000957.113 * [enter]simplify: Simplifying (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) 1544000957.114 * * [misc]simplify: iters left: 6 (11 enodes) 1544000957.117 * * [misc]simplify: iters left: 5 (17 enodes) 1544000957.122 * * [misc]simplify: iters left: 4 (23 enodes) 1544000957.128 * * [misc]simplify: iters left: 3 (24 enodes) 1544000957.131 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) 1544000957.131 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1544000957.131 * * * * [misc]progress: [ 86 / 101 ] simplifiying candidate # 1544000957.131 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) 1544000957.131 * * [misc]simplify: iters left: 6 (10 enodes) 1544000957.133 * * [misc]simplify: iters left: 5 (16 enodes) 1544000957.135 * * [misc]simplify: iters left: 4 (22 enodes) 1544000957.138 * * [misc]simplify: iters left: 3 (24 enodes) 1544000957.141 * [exit]simplify: Simplified to (sqrt (pow (* (* PI 2) n) (- (/ k 2)))) 1544000957.141 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (sqrt (pow (* (* PI 2) n) (- (/ k 2)))) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1544000957.141 * * * * [misc]progress: [ 87 / 101 ] simplifiying candidate # 1544000957.141 * * * * [misc]progress: [ 88 / 101 ] simplifiying candidate # 1544000957.141 * * * * [misc]progress: [ 89 / 101 ] simplifiying candidate # 1544000957.141 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 0) 1544000957.141 * * [misc]simplify: iters left: 5 (7 enodes) 1544000957.142 * * [misc]simplify: iters left: 4 (12 enodes) 1544000957.144 * * [misc]simplify: iters left: 3 (19 enodes) 1544000957.146 * * [misc]simplify: iters left: 2 (20 enodes) 1544000957.148 * [exit]simplify: Simplified to 1 1544000957.148 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ 1 (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))) 1544000957.148 * * * * [misc]progress: [ 90 / 101 ] simplifiying candidate # 1544000957.148 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544000957.148 * * [misc]simplify: iters left: 4 (5 enodes) 1544000957.149 * * [misc]simplify: iters left: 3 (9 enodes) 1544000957.150 * * [misc]simplify: iters left: 2 (15 enodes) 1544000957.152 * * [misc]simplify: iters left: 1 (17 enodes) 1544000957.154 * [exit]simplify: Simplified to (* (* PI n) 2) 1544000957.154 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (sqrt (* (* PI n) 2)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1544000957.154 * * * * [misc]progress: [ 91 / 101 ] simplifiying candidate # 1544000957.154 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544000957.154 * * [misc]simplify: iters left: 4 (5 enodes) 1544000957.155 * * [misc]simplify: iters left: 3 (9 enodes) 1544000957.158 * * [misc]simplify: iters left: 2 (15 enodes) 1544000957.161 * * [misc]simplify: iters left: 1 (17 enodes) 1544000957.165 * [exit]simplify: Simplified to (* (* PI n) 2) 1544000957.165 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (sqrt (* (* PI n) 2)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1544000957.165 * * * * [misc]progress: [ 92 / 101 ] simplifiying candidate # 1544000957.166 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544000957.166 * * [misc]simplify: iters left: 4 (5 enodes) 1544000957.167 * * [misc]simplify: iters left: 3 (9 enodes) 1544000957.170 * * [misc]simplify: iters left: 2 (15 enodes) 1544000957.175 * * [misc]simplify: iters left: 1 (17 enodes) 1544000957.179 * [exit]simplify: Simplified to (* (* PI n) 2) 1544000957.179 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (sqrt (* (* PI n) 2)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1544000957.179 * * * * [misc]progress: [ 93 / 101 ] simplifiying candidate # 1544000957.179 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544000957.179 * * [misc]simplify: iters left: 4 (5 enodes) 1544000957.181 * * [misc]simplify: iters left: 3 (9 enodes) 1544000957.184 * * [misc]simplify: iters left: 2 (15 enodes) 1544000957.188 * * [misc]simplify: iters left: 1 (17 enodes) 1544000957.192 * [exit]simplify: Simplified to (* (* PI n) 2) 1544000957.192 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* PI n) 2) (- (/ k 2))) (sqrt k)))) 1544000957.192 * * * * [misc]progress: [ 94 / 101 ] simplifiying candidate # 1544000957.192 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544000957.192 * * [misc]simplify: iters left: 4 (5 enodes) 1544000957.194 * * [misc]simplify: iters left: 3 (9 enodes) 1544000957.196 * * [misc]simplify: iters left: 2 (15 enodes) 1544000957.200 * * [misc]simplify: iters left: 1 (17 enodes) 1544000957.204 * [exit]simplify: Simplified to (* (* PI n) 2) 1544000957.204 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* PI n) 2) (- (/ k 2))) (sqrt k)))) 1544000957.204 * * * * [misc]progress: [ 95 / 101 ] simplifiying candidate # 1544000957.204 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544000957.204 * * [misc]simplify: iters left: 4 (5 enodes) 1544000957.206 * * [misc]simplify: iters left: 3 (9 enodes) 1544000957.209 * * [misc]simplify: iters left: 2 (15 enodes) 1544000957.212 * * [misc]simplify: iters left: 1 (17 enodes) 1544000957.216 * [exit]simplify: Simplified to (* (* PI n) 2) 1544000957.216 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* PI n) 2) (- (/ k 2))) (sqrt k)))) 1544000957.217 * * * * [misc]progress: [ 96 / 101 ] simplifiying candidate # 1544000957.217 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (sqrt 2) (* n PI)) k)) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (log (* 2 PI)))))) (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow n 2) (* (pow PI 2) (log n)))) k)) (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow n 2) (* (pow PI 2) (log (* 2 PI))))) k)) (- (* +nan.0 (* (sqrt 2) (* n (* PI (log n)))))))))))))) 1544000957.217 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544000957.217 * * * * [misc]progress: [ 97 / 101 ] simplifiying candidate # 1544000957.217 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (pow PI 2))) (* n (pow k 2)))) (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (pow PI 3))) (* (pow n 2) (pow k 3)))) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) PI)) k))))))) 1544000957.217 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544000957.217 * * * * [misc]progress: [ 98 / 101 ] simplifiying candidate # 1544000957.218 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) PI)) (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) PI) k)) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) (pow PI 2)) n))))))) 1544000957.218 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544000957.218 * * * * [misc]progress: [ 99 / 101 ] simplifiying candidate # 1544000957.218 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (log (* 2 PI)) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) k)) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (log n) k)) (- (+ (* +nan.0 (* (log n) (pow k 2))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (* (pow (log n) 2) (pow k 2))) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))))))))))))))))) 1544000957.218 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) +nan.0)) 1544000957.218 * * * * [misc]progress: [ 100 / 101 ] simplifiying candidate # 1544000957.218 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) k)) (- (+ (* +nan.0 (/ (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (pow k 3))) (- (* +nan.0 (/ (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (pow k 2)))))))) 1544000957.218 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) +nan.0)) 1544000957.218 * * * * [misc]progress: [ 101 / 101 ] simplifiying candidate # 1544000957.219 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) k)) (- (+ (* +nan.0 (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k)))) (- (* +nan.0 (/ (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) (pow k 2)))))))) 1544000957.219 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) +nan.0)) 1544000957.219 * * * [misc]progress: adding candidates to table 1544000958.527 * * [misc]progress: iteration 3 / 4 1544000958.527 * * * [misc]progress: picking best candidate 1544000958.558 * * * * [misc]pick: Picked # 1544000958.558 * * * [misc]progress: localizing error 1544000958.581 * * * [misc]progress: generating rewritten candidates 1544000958.581 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1) 1544000958.586 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 2 1 1) 1544000958.591 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 2 1 1) 1544000958.595 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 1 1 1) 1544000958.600 * * * [misc]progress: generating series expansions 1544000958.600 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1) 1544000958.601 * [misc]backup-simplify: Simplify (* (* PI 2) n) into (* 2 (* n PI)) 1544000958.601 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1544000958.601 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544000958.601 * [misc]taylor: Taking taylor expansion of 2 in n 1544000958.601 * [misc]backup-simplify: Simplify 2 into 2 1544000958.601 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544000958.601 * [misc]taylor: Taking taylor expansion of n in n 1544000958.601 * [misc]backup-simplify: Simplify 0 into 0 1544000958.601 * [misc]backup-simplify: Simplify 1 into 1 1544000958.601 * [misc]taylor: Taking taylor expansion of PI in n 1544000958.602 * [misc]backup-simplify: Simplify PI into PI 1544000958.602 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544000958.602 * [misc]taylor: Taking taylor expansion of 2 in n 1544000958.602 * [misc]backup-simplify: Simplify 2 into 2 1544000958.602 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544000958.602 * [misc]taylor: Taking taylor expansion of n in n 1544000958.602 * [misc]backup-simplify: Simplify 0 into 0 1544000958.602 * [misc]backup-simplify: Simplify 1 into 1 1544000958.602 * [misc]taylor: Taking taylor expansion of PI in n 1544000958.602 * [misc]backup-simplify: Simplify PI into PI 1544000958.602 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544000958.602 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544000958.602 * [misc]backup-simplify: Simplify 0 into 0 1544000958.603 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544000958.604 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544000958.604 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544000958.605 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544000958.606 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1544000958.606 * [misc]backup-simplify: Simplify 0 into 0 1544000958.608 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1544000958.609 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1544000958.609 * [misc]backup-simplify: Simplify 0 into 0 1544000958.612 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544000958.614 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1544000958.614 * [misc]backup-simplify: Simplify 0 into 0 1544000958.617 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544000958.619 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1544000958.619 * [misc]backup-simplify: Simplify 0 into 0 1544000958.623 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544000958.626 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1544000958.627 * [misc]backup-simplify: Simplify 0 into 0 1544000958.631 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1544000958.635 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1544000958.635 * [misc]backup-simplify: Simplify 0 into 0 1544000958.636 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1544000958.636 * [misc]backup-simplify: Simplify (* (* PI 2) (/ 1 n)) into (* 2 (/ PI n)) 1544000958.636 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1544000958.636 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544000958.636 * [misc]taylor: Taking taylor expansion of 2 in n 1544000958.636 * [misc]backup-simplify: Simplify 2 into 2 1544000958.636 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544000958.636 * [misc]taylor: Taking taylor expansion of PI in n 1544000958.636 * [misc]backup-simplify: Simplify PI into PI 1544000958.636 * [misc]taylor: Taking taylor expansion of n in n 1544000958.636 * [misc]backup-simplify: Simplify 0 into 0 1544000958.636 * [misc]backup-simplify: Simplify 1 into 1 1544000958.636 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544000958.637 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544000958.637 * [misc]taylor: Taking taylor expansion of 2 in n 1544000958.637 * [misc]backup-simplify: Simplify 2 into 2 1544000958.637 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544000958.637 * [misc]taylor: Taking taylor expansion of PI in n 1544000958.637 * [misc]backup-simplify: Simplify PI into PI 1544000958.637 * [misc]taylor: Taking taylor expansion of n in n 1544000958.637 * [misc]backup-simplify: Simplify 0 into 0 1544000958.637 * [misc]backup-simplify: Simplify 1 into 1 1544000958.637 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544000958.637 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544000958.638 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544000958.639 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544000958.639 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544000958.639 * [misc]backup-simplify: Simplify 0 into 0 1544000958.641 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000958.642 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544000958.642 * [misc]backup-simplify: Simplify 0 into 0 1544000958.643 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000958.645 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544000958.645 * [misc]backup-simplify: Simplify 0 into 0 1544000958.647 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000958.649 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544000958.649 * [misc]backup-simplify: Simplify 0 into 0 1544000958.651 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000958.654 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544000958.654 * [misc]backup-simplify: Simplify 0 into 0 1544000958.656 * [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 1544000958.658 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544000958.658 * [misc]backup-simplify: Simplify 0 into 0 1544000958.658 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1544000958.659 * [misc]backup-simplify: Simplify (* (* PI 2) (/ 1 (- n))) into (* -2 (/ PI n)) 1544000958.659 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1544000958.659 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544000958.659 * [misc]taylor: Taking taylor expansion of -2 in n 1544000958.659 * [misc]backup-simplify: Simplify -2 into -2 1544000958.659 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544000958.659 * [misc]taylor: Taking taylor expansion of PI in n 1544000958.659 * [misc]backup-simplify: Simplify PI into PI 1544000958.659 * [misc]taylor: Taking taylor expansion of n in n 1544000958.659 * [misc]backup-simplify: Simplify 0 into 0 1544000958.659 * [misc]backup-simplify: Simplify 1 into 1 1544000958.659 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544000958.659 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544000958.659 * [misc]taylor: Taking taylor expansion of -2 in n 1544000958.659 * [misc]backup-simplify: Simplify -2 into -2 1544000958.659 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544000958.659 * [misc]taylor: Taking taylor expansion of PI in n 1544000958.659 * [misc]backup-simplify: Simplify PI into PI 1544000958.659 * [misc]taylor: Taking taylor expansion of n in n 1544000958.659 * [misc]backup-simplify: Simplify 0 into 0 1544000958.659 * [misc]backup-simplify: Simplify 1 into 1 1544000958.659 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544000958.659 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544000958.660 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544000958.660 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544000958.661 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1544000958.661 * [misc]backup-simplify: Simplify 0 into 0 1544000958.661 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000958.662 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1544000958.662 * [misc]backup-simplify: Simplify 0 into 0 1544000958.663 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000958.664 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544000958.664 * [misc]backup-simplify: Simplify 0 into 0 1544000958.665 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000958.666 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544000958.666 * [misc]backup-simplify: Simplify 0 into 0 1544000958.668 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000958.669 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544000958.669 * [misc]backup-simplify: Simplify 0 into 0 1544000958.671 * [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 1544000958.672 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544000958.673 * [misc]backup-simplify: Simplify 0 into 0 1544000958.673 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1544000958.673 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 2 1 1) 1544000958.673 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1544000958.673 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1544000958.673 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544000958.673 * [misc]taylor: Taking taylor expansion of 2 in n 1544000958.673 * [misc]backup-simplify: Simplify 2 into 2 1544000958.673 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544000958.673 * [misc]taylor: Taking taylor expansion of n in n 1544000958.673 * [misc]backup-simplify: Simplify 0 into 0 1544000958.673 * [misc]backup-simplify: Simplify 1 into 1 1544000958.673 * [misc]taylor: Taking taylor expansion of PI in n 1544000958.673 * [misc]backup-simplify: Simplify PI into PI 1544000958.673 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544000958.673 * [misc]taylor: Taking taylor expansion of 2 in n 1544000958.673 * [misc]backup-simplify: Simplify 2 into 2 1544000958.673 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544000958.673 * [misc]taylor: Taking taylor expansion of n in n 1544000958.673 * [misc]backup-simplify: Simplify 0 into 0 1544000958.673 * [misc]backup-simplify: Simplify 1 into 1 1544000958.673 * [misc]taylor: Taking taylor expansion of PI in n 1544000958.673 * [misc]backup-simplify: Simplify PI into PI 1544000958.673 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544000958.674 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544000958.674 * [misc]backup-simplify: Simplify 0 into 0 1544000958.674 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544000958.675 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544000958.675 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544000958.675 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544000958.676 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1544000958.676 * [misc]backup-simplify: Simplify 0 into 0 1544000958.677 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1544000958.681 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1544000958.681 * [misc]backup-simplify: Simplify 0 into 0 1544000958.682 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544000958.683 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1544000958.683 * [misc]backup-simplify: Simplify 0 into 0 1544000958.685 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544000958.686 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1544000958.686 * [misc]backup-simplify: Simplify 0 into 0 1544000958.689 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544000958.692 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1544000958.692 * [misc]backup-simplify: Simplify 0 into 0 1544000958.697 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1544000958.701 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1544000958.701 * [misc]backup-simplify: Simplify 0 into 0 1544000958.701 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1544000958.701 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1544000958.701 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1544000958.701 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544000958.701 * [misc]taylor: Taking taylor expansion of 2 in n 1544000958.701 * [misc]backup-simplify: Simplify 2 into 2 1544000958.701 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544000958.702 * [misc]taylor: Taking taylor expansion of PI in n 1544000958.702 * [misc]backup-simplify: Simplify PI into PI 1544000958.702 * [misc]taylor: Taking taylor expansion of n in n 1544000958.702 * [misc]backup-simplify: Simplify 0 into 0 1544000958.702 * [misc]backup-simplify: Simplify 1 into 1 1544000958.702 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544000958.702 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544000958.702 * [misc]taylor: Taking taylor expansion of 2 in n 1544000958.702 * [misc]backup-simplify: Simplify 2 into 2 1544000958.702 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544000958.702 * [misc]taylor: Taking taylor expansion of PI in n 1544000958.702 * [misc]backup-simplify: Simplify PI into PI 1544000958.702 * [misc]taylor: Taking taylor expansion of n in n 1544000958.702 * [misc]backup-simplify: Simplify 0 into 0 1544000958.702 * [misc]backup-simplify: Simplify 1 into 1 1544000958.703 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544000958.703 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544000958.703 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544000958.704 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544000958.705 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544000958.705 * [misc]backup-simplify: Simplify 0 into 0 1544000958.707 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000958.707 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544000958.708 * [misc]backup-simplify: Simplify 0 into 0 1544000958.708 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000958.709 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544000958.709 * [misc]backup-simplify: Simplify 0 into 0 1544000958.710 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000958.712 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544000958.712 * [misc]backup-simplify: Simplify 0 into 0 1544000958.713 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000958.715 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544000958.715 * [misc]backup-simplify: Simplify 0 into 0 1544000958.716 * [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 1544000958.718 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544000958.718 * [misc]backup-simplify: Simplify 0 into 0 1544000958.718 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1544000958.718 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1544000958.718 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1544000958.718 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544000958.718 * [misc]taylor: Taking taylor expansion of -2 in n 1544000958.718 * [misc]backup-simplify: Simplify -2 into -2 1544000958.718 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544000958.718 * [misc]taylor: Taking taylor expansion of PI in n 1544000958.718 * [misc]backup-simplify: Simplify PI into PI 1544000958.718 * [misc]taylor: Taking taylor expansion of n in n 1544000958.718 * [misc]backup-simplify: Simplify 0 into 0 1544000958.719 * [misc]backup-simplify: Simplify 1 into 1 1544000958.719 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544000958.719 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544000958.719 * [misc]taylor: Taking taylor expansion of -2 in n 1544000958.719 * [misc]backup-simplify: Simplify -2 into -2 1544000958.719 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544000958.719 * [misc]taylor: Taking taylor expansion of PI in n 1544000958.719 * [misc]backup-simplify: Simplify PI into PI 1544000958.719 * [misc]taylor: Taking taylor expansion of n in n 1544000958.719 * [misc]backup-simplify: Simplify 0 into 0 1544000958.719 * [misc]backup-simplify: Simplify 1 into 1 1544000958.719 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544000958.719 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544000958.719 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544000958.720 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544000958.721 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1544000958.721 * [misc]backup-simplify: Simplify 0 into 0 1544000958.721 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000958.722 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1544000958.722 * [misc]backup-simplify: Simplify 0 into 0 1544000958.723 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000958.724 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544000958.724 * [misc]backup-simplify: Simplify 0 into 0 1544000958.725 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000958.727 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544000958.727 * [misc]backup-simplify: Simplify 0 into 0 1544000958.728 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000958.729 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544000958.729 * [misc]backup-simplify: Simplify 0 into 0 1544000958.731 * [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 1544000958.733 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544000958.733 * [misc]backup-simplify: Simplify 0 into 0 1544000958.733 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1544000958.733 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 2 1 1) 1544000958.733 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1544000958.733 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1544000958.733 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544000958.733 * [misc]taylor: Taking taylor expansion of 2 in n 1544000958.733 * [misc]backup-simplify: Simplify 2 into 2 1544000958.733 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544000958.733 * [misc]taylor: Taking taylor expansion of n in n 1544000958.733 * [misc]backup-simplify: Simplify 0 into 0 1544000958.733 * [misc]backup-simplify: Simplify 1 into 1 1544000958.733 * [misc]taylor: Taking taylor expansion of PI in n 1544000958.733 * [misc]backup-simplify: Simplify PI into PI 1544000958.733 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544000958.733 * [misc]taylor: Taking taylor expansion of 2 in n 1544000958.733 * [misc]backup-simplify: Simplify 2 into 2 1544000958.733 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544000958.733 * [misc]taylor: Taking taylor expansion of n in n 1544000958.733 * [misc]backup-simplify: Simplify 0 into 0 1544000958.733 * [misc]backup-simplify: Simplify 1 into 1 1544000958.733 * [misc]taylor: Taking taylor expansion of PI in n 1544000958.733 * [misc]backup-simplify: Simplify PI into PI 1544000958.734 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544000958.734 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544000958.734 * [misc]backup-simplify: Simplify 0 into 0 1544000958.734 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544000958.735 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544000958.735 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544000958.735 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544000958.736 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1544000958.736 * [misc]backup-simplify: Simplify 0 into 0 1544000958.737 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1544000958.738 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1544000958.738 * [misc]backup-simplify: Simplify 0 into 0 1544000958.739 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544000958.741 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1544000958.741 * [misc]backup-simplify: Simplify 0 into 0 1544000958.742 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544000958.744 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1544000958.744 * [misc]backup-simplify: Simplify 0 into 0 1544000958.747 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544000958.751 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1544000958.751 * [misc]backup-simplify: Simplify 0 into 0 1544000958.753 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1544000958.756 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1544000958.756 * [misc]backup-simplify: Simplify 0 into 0 1544000958.756 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1544000958.756 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1544000958.756 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1544000958.756 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544000958.756 * [misc]taylor: Taking taylor expansion of 2 in n 1544000958.756 * [misc]backup-simplify: Simplify 2 into 2 1544000958.756 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544000958.756 * [misc]taylor: Taking taylor expansion of PI in n 1544000958.756 * [misc]backup-simplify: Simplify PI into PI 1544000958.756 * [misc]taylor: Taking taylor expansion of n in n 1544000958.756 * [misc]backup-simplify: Simplify 0 into 0 1544000958.756 * [misc]backup-simplify: Simplify 1 into 1 1544000958.757 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544000958.757 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544000958.757 * [misc]taylor: Taking taylor expansion of 2 in n 1544000958.757 * [misc]backup-simplify: Simplify 2 into 2 1544000958.757 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544000958.757 * [misc]taylor: Taking taylor expansion of PI in n 1544000958.757 * [misc]backup-simplify: Simplify PI into PI 1544000958.757 * [misc]taylor: Taking taylor expansion of n in n 1544000958.757 * [misc]backup-simplify: Simplify 0 into 0 1544000958.757 * [misc]backup-simplify: Simplify 1 into 1 1544000958.757 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544000958.757 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544000958.757 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544000958.758 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544000958.758 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544000958.758 * [misc]backup-simplify: Simplify 0 into 0 1544000958.759 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000958.760 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544000958.760 * [misc]backup-simplify: Simplify 0 into 0 1544000958.761 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000958.762 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544000958.762 * [misc]backup-simplify: Simplify 0 into 0 1544000958.763 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000958.764 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544000958.764 * [misc]backup-simplify: Simplify 0 into 0 1544000958.765 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000958.767 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544000958.767 * [misc]backup-simplify: Simplify 0 into 0 1544000958.768 * [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 1544000958.770 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544000958.770 * [misc]backup-simplify: Simplify 0 into 0 1544000958.771 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1544000958.771 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1544000958.771 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1544000958.771 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544000958.771 * [misc]taylor: Taking taylor expansion of -2 in n 1544000958.771 * [misc]backup-simplify: Simplify -2 into -2 1544000958.771 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544000958.771 * [misc]taylor: Taking taylor expansion of PI in n 1544000958.771 * [misc]backup-simplify: Simplify PI into PI 1544000958.771 * [misc]taylor: Taking taylor expansion of n in n 1544000958.771 * [misc]backup-simplify: Simplify 0 into 0 1544000958.771 * [misc]backup-simplify: Simplify 1 into 1 1544000958.771 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544000958.771 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544000958.771 * [misc]taylor: Taking taylor expansion of -2 in n 1544000958.771 * [misc]backup-simplify: Simplify -2 into -2 1544000958.771 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544000958.771 * [misc]taylor: Taking taylor expansion of PI in n 1544000958.771 * [misc]backup-simplify: Simplify PI into PI 1544000958.771 * [misc]taylor: Taking taylor expansion of n in n 1544000958.771 * [misc]backup-simplify: Simplify 0 into 0 1544000958.771 * [misc]backup-simplify: Simplify 1 into 1 1544000958.771 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544000958.772 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544000958.772 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544000958.773 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544000958.773 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1544000958.773 * [misc]backup-simplify: Simplify 0 into 0 1544000958.774 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000958.775 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1544000958.775 * [misc]backup-simplify: Simplify 0 into 0 1544000958.776 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000958.777 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544000958.777 * [misc]backup-simplify: Simplify 0 into 0 1544000958.778 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000958.779 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544000958.779 * [misc]backup-simplify: Simplify 0 into 0 1544000958.781 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000958.785 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544000958.785 * [misc]backup-simplify: Simplify 0 into 0 1544000958.787 * [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 1544000958.791 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544000958.791 * [misc]backup-simplify: Simplify 0 into 0 1544000958.791 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1544000958.791 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1 1 1 1) 1544000958.791 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1544000958.792 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1544000958.792 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544000958.792 * [misc]taylor: Taking taylor expansion of 2 in n 1544000958.792 * [misc]backup-simplify: Simplify 2 into 2 1544000958.792 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544000958.792 * [misc]taylor: Taking taylor expansion of n in n 1544000958.792 * [misc]backup-simplify: Simplify 0 into 0 1544000958.792 * [misc]backup-simplify: Simplify 1 into 1 1544000958.792 * [misc]taylor: Taking taylor expansion of PI in n 1544000958.792 * [misc]backup-simplify: Simplify PI into PI 1544000958.792 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544000958.792 * [misc]taylor: Taking taylor expansion of 2 in n 1544000958.792 * [misc]backup-simplify: Simplify 2 into 2 1544000958.792 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544000958.792 * [misc]taylor: Taking taylor expansion of n in n 1544000958.792 * [misc]backup-simplify: Simplify 0 into 0 1544000958.792 * [misc]backup-simplify: Simplify 1 into 1 1544000958.792 * [misc]taylor: Taking taylor expansion of PI in n 1544000958.792 * [misc]backup-simplify: Simplify PI into PI 1544000958.792 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544000958.793 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544000958.793 * [misc]backup-simplify: Simplify 0 into 0 1544000958.793 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544000958.794 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544000958.794 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544000958.795 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544000958.796 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1544000958.796 * [misc]backup-simplify: Simplify 0 into 0 1544000958.798 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1544000958.800 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1544000958.800 * [misc]backup-simplify: Simplify 0 into 0 1544000958.802 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544000958.804 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1544000958.804 * [misc]backup-simplify: Simplify 0 into 0 1544000958.805 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544000958.807 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1544000958.807 * [misc]backup-simplify: Simplify 0 into 0 1544000958.809 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544000958.811 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1544000958.811 * [misc]backup-simplify: Simplify 0 into 0 1544000958.813 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1544000958.815 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1544000958.815 * [misc]backup-simplify: Simplify 0 into 0 1544000958.816 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1544000958.816 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1544000958.816 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1544000958.816 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544000958.816 * [misc]taylor: Taking taylor expansion of 2 in n 1544000958.816 * [misc]backup-simplify: Simplify 2 into 2 1544000958.816 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544000958.816 * [misc]taylor: Taking taylor expansion of PI in n 1544000958.816 * [misc]backup-simplify: Simplify PI into PI 1544000958.816 * [misc]taylor: Taking taylor expansion of n in n 1544000958.816 * [misc]backup-simplify: Simplify 0 into 0 1544000958.816 * [misc]backup-simplify: Simplify 1 into 1 1544000958.816 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544000958.816 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544000958.816 * [misc]taylor: Taking taylor expansion of 2 in n 1544000958.816 * [misc]backup-simplify: Simplify 2 into 2 1544000958.816 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544000958.816 * [misc]taylor: Taking taylor expansion of PI in n 1544000958.816 * [misc]backup-simplify: Simplify PI into PI 1544000958.816 * [misc]taylor: Taking taylor expansion of n in n 1544000958.816 * [misc]backup-simplify: Simplify 0 into 0 1544000958.816 * [misc]backup-simplify: Simplify 1 into 1 1544000958.816 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544000958.817 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544000958.817 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544000958.818 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544000958.818 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544000958.818 * [misc]backup-simplify: Simplify 0 into 0 1544000958.819 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000958.819 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544000958.819 * [misc]backup-simplify: Simplify 0 into 0 1544000958.820 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000958.821 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544000958.821 * [misc]backup-simplify: Simplify 0 into 0 1544000958.822 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000958.824 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544000958.824 * [misc]backup-simplify: Simplify 0 into 0 1544000958.825 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000958.827 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544000958.827 * [misc]backup-simplify: Simplify 0 into 0 1544000958.828 * [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 1544000958.830 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544000958.830 * [misc]backup-simplify: Simplify 0 into 0 1544000958.831 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1544000958.831 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1544000958.831 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1544000958.831 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544000958.831 * [misc]taylor: Taking taylor expansion of -2 in n 1544000958.831 * [misc]backup-simplify: Simplify -2 into -2 1544000958.831 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544000958.831 * [misc]taylor: Taking taylor expansion of PI in n 1544000958.831 * [misc]backup-simplify: Simplify PI into PI 1544000958.831 * [misc]taylor: Taking taylor expansion of n in n 1544000958.831 * [misc]backup-simplify: Simplify 0 into 0 1544000958.831 * [misc]backup-simplify: Simplify 1 into 1 1544000958.831 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544000958.831 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544000958.831 * [misc]taylor: Taking taylor expansion of -2 in n 1544000958.831 * [misc]backup-simplify: Simplify -2 into -2 1544000958.831 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544000958.831 * [misc]taylor: Taking taylor expansion of PI in n 1544000958.831 * [misc]backup-simplify: Simplify PI into PI 1544000958.831 * [misc]taylor: Taking taylor expansion of n in n 1544000958.831 * [misc]backup-simplify: Simplify 0 into 0 1544000958.831 * [misc]backup-simplify: Simplify 1 into 1 1544000958.831 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544000958.832 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544000958.832 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544000958.832 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544000958.833 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1544000958.833 * [misc]backup-simplify: Simplify 0 into 0 1544000958.834 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000958.834 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1544000958.834 * [misc]backup-simplify: Simplify 0 into 0 1544000958.835 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000958.837 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544000958.837 * [misc]backup-simplify: Simplify 0 into 0 1544000958.839 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000958.840 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544000958.840 * [misc]backup-simplify: Simplify 0 into 0 1544000958.841 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000958.843 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544000958.843 * [misc]backup-simplify: Simplify 0 into 0 1544000958.845 * [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 1544000958.846 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544000958.847 * [misc]backup-simplify: Simplify 0 into 0 1544000958.847 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1544000958.847 * * * [misc]progress: simplifying candidates 1544000958.847 * * * * [misc]progress: [ 1 / 48 ] simplifiying candidate # 1544000958.847 * * * * [misc]progress: [ 2 / 48 ] simplifiying candidate # 1544000958.847 * * * * [misc]progress: [ 3 / 48 ] simplifiying candidate # 1544000958.847 * * * * [misc]progress: [ 4 / 48 ] simplifiying candidate # 1544000958.847 * * * * [misc]progress: [ 5 / 48 ] simplifiying candidate # 1544000958.847 * * * * [misc]progress: [ 6 / 48 ] simplifiying candidate # 1544000958.847 * * * * [misc]progress: [ 7 / 48 ] simplifiying candidate # 1544000958.847 * * * * [misc]progress: [ 8 / 48 ] simplifiying candidate # 1544000958.847 * * * * [misc]progress: [ 9 / 48 ] simplifiying candidate # 1544000958.847 * * * * [misc]progress: [ 10 / 48 ] simplifiying candidate # 1544000958.847 * * * * [misc]progress: [ 11 / 48 ] simplifiying candidate # 1544000958.847 * * * * [misc]progress: [ 12 / 48 ] simplifiying candidate # 1544000958.847 * * * * [misc]progress: [ 13 / 48 ] simplifiying candidate # 1544000958.847 * * * * [misc]progress: [ 14 / 48 ] simplifiying candidate # 1544000958.847 * * * * [misc]progress: [ 15 / 48 ] simplifiying candidate # 1544000958.848 * * * * [misc]progress: [ 16 / 48 ] simplifiying candidate # 1544000958.848 * * * * [misc]progress: [ 17 / 48 ] simplifiying candidate # 1544000958.848 * * * * [misc]progress: [ 18 / 48 ] simplifiying candidate # 1544000958.848 * * * * [misc]progress: [ 19 / 48 ] simplifiying candidate # 1544000958.848 * * * * [misc]progress: [ 20 / 48 ] simplifiying candidate # 1544000958.848 * * * * [misc]progress: [ 21 / 48 ] simplifiying candidate # 1544000958.848 * * * * [misc]progress: [ 22 / 48 ] simplifiying candidate # 1544000958.848 * * * * [misc]progress: [ 23 / 48 ] simplifiying candidate # 1544000958.848 * * * * [misc]progress: [ 24 / 48 ] simplifiying candidate # 1544000958.848 * * * * [misc]progress: [ 25 / 48 ] simplifiying candidate # 1544000958.848 * * * * [misc]progress: [ 26 / 48 ] simplifiying candidate # 1544000958.848 * * * * [misc]progress: [ 27 / 48 ] simplifiying candidate # 1544000958.848 * * * * [misc]progress: [ 28 / 48 ] simplifiying candidate # 1544000958.848 * * * * [misc]progress: [ 29 / 48 ] simplifiying candidate # 1544000958.848 * * * * [misc]progress: [ 30 / 48 ] simplifiying candidate # 1544000958.848 * * * * [misc]progress: [ 31 / 48 ] simplifiying candidate # 1544000958.848 * * * * [misc]progress: [ 32 / 48 ] simplifiying candidate # 1544000958.848 * * * * [misc]progress: [ 33 / 48 ] simplifiying candidate # 1544000958.848 * * * * [misc]progress: [ 34 / 48 ] simplifiying candidate # 1544000958.848 * * * * [misc]progress: [ 35 / 48 ] simplifiying candidate # 1544000958.848 * * * * [misc]progress: [ 36 / 48 ] simplifiying candidate # 1544000958.848 * * * * [misc]progress: [ 37 / 48 ] simplifiying candidate # 1544000958.849 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544000958.849 * * [misc]simplify: iters left: 4 (5 enodes) 1544000958.850 * * [misc]simplify: iters left: 3 (9 enodes) 1544000958.851 * * [misc]simplify: iters left: 2 (15 enodes) 1544000958.853 * * [misc]simplify: iters left: 1 (17 enodes) 1544000958.855 * [exit]simplify: Simplified to (* (* PI n) 2) 1544000958.855 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (sqrt (* (* PI n) 2)) (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1544000958.855 * * * * [misc]progress: [ 38 / 48 ] simplifiying candidate # 1544000958.855 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544000958.855 * * [misc]simplify: iters left: 4 (5 enodes) 1544000958.856 * * [misc]simplify: iters left: 3 (9 enodes) 1544000958.857 * * [misc]simplify: iters left: 2 (15 enodes) 1544000958.860 * * [misc]simplify: iters left: 1 (17 enodes) 1544000958.862 * [exit]simplify: Simplified to (* (* PI n) 2) 1544000958.862 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (sqrt (* (* PI n) 2)) (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1544000958.862 * * * * [misc]progress: [ 39 / 48 ] simplifiying candidate # 1544000958.862 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544000958.862 * * [misc]simplify: iters left: 4 (5 enodes) 1544000958.863 * * [misc]simplify: iters left: 3 (9 enodes) 1544000958.864 * * [misc]simplify: iters left: 2 (15 enodes) 1544000958.866 * * [misc]simplify: iters left: 1 (17 enodes) 1544000958.868 * [exit]simplify: Simplified to (* (* PI n) 2) 1544000958.868 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (sqrt (* (* PI n) 2)) (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1544000958.868 * * * * [misc]progress: [ 40 / 48 ] simplifiying candidate # 1544000958.868 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544000958.868 * * [misc]simplify: iters left: 4 (5 enodes) 1544000958.869 * * [misc]simplify: iters left: 3 (9 enodes) 1544000958.870 * * [misc]simplify: iters left: 2 (15 enodes) 1544000958.872 * * [misc]simplify: iters left: 1 (17 enodes) 1544000958.874 * [exit]simplify: Simplified to (* (* PI n) 2) 1544000958.874 * [misc]simplify: Simplified (2 2 2 2 1 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (/ (sqrt k) (cbrt (pow (* (* PI n) 2) (- (/ k 2)))))))) 1544000958.874 * * * * [misc]progress: [ 41 / 48 ] simplifiying candidate # 1544000958.874 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544000958.874 * * [misc]simplify: iters left: 4 (5 enodes) 1544000958.876 * * [misc]simplify: iters left: 3 (9 enodes) 1544000958.877 * * [misc]simplify: iters left: 2 (15 enodes) 1544000958.879 * * [misc]simplify: iters left: 1 (17 enodes) 1544000958.881 * [exit]simplify: Simplified to (* (* PI n) 2) 1544000958.881 * [misc]simplify: Simplified (2 2 2 2 1 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (/ (sqrt k) (cbrt (pow (* (* PI n) 2) (- (/ k 2)))))))) 1544000958.881 * * * * [misc]progress: [ 42 / 48 ] simplifiying candidate # 1544000958.882 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544000958.882 * * [misc]simplify: iters left: 4 (5 enodes) 1544000958.882 * * [misc]simplify: iters left: 3 (9 enodes) 1544000958.884 * * [misc]simplify: iters left: 2 (15 enodes) 1544000958.888 * * [misc]simplify: iters left: 1 (17 enodes) 1544000958.892 * [exit]simplify: Simplified to (* (* PI n) 2) 1544000958.892 * [misc]simplify: Simplified (2 2 2 2 1 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (/ (sqrt k) (cbrt (pow (* (* PI n) 2) (- (/ k 2)))))))) 1544000958.892 * * * * [misc]progress: [ 43 / 48 ] simplifiying candidate # 1544000958.893 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544000958.893 * * [misc]simplify: iters left: 4 (5 enodes) 1544000958.894 * * [misc]simplify: iters left: 3 (9 enodes) 1544000958.897 * * [misc]simplify: iters left: 2 (15 enodes) 1544000958.900 * * [misc]simplify: iters left: 1 (17 enodes) 1544000958.902 * [exit]simplify: Simplified to (* (* PI n) 2) 1544000958.902 * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* (* PI n) 2) (- (/ k 2))))) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1544000958.902 * * * * [misc]progress: [ 44 / 48 ] simplifiying candidate # 1544000958.902 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544000958.902 * * [misc]simplify: iters left: 4 (5 enodes) 1544000958.903 * * [misc]simplify: iters left: 3 (9 enodes) 1544000958.905 * * [misc]simplify: iters left: 2 (15 enodes) 1544000958.906 * * [misc]simplify: iters left: 1 (17 enodes) 1544000958.908 * [exit]simplify: Simplified to (* (* PI n) 2) 1544000958.908 * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* (* PI n) 2) (- (/ k 2))))) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1544000958.909 * * * * [misc]progress: [ 45 / 48 ] simplifiying candidate # 1544000958.909 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544000958.909 * * [misc]simplify: iters left: 4 (5 enodes) 1544000958.910 * * [misc]simplify: iters left: 3 (9 enodes) 1544000958.911 * * [misc]simplify: iters left: 2 (15 enodes) 1544000958.913 * * [misc]simplify: iters left: 1 (17 enodes) 1544000958.915 * [exit]simplify: Simplified to (* (* PI n) 2) 1544000958.915 * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* (* PI n) 2) (- (/ k 2))))) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1544000958.915 * * * * [misc]progress: [ 46 / 48 ] simplifiying candidate # 1544000958.915 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544000958.915 * * [misc]simplify: iters left: 4 (5 enodes) 1544000958.916 * * [misc]simplify: iters left: 3 (9 enodes) 1544000958.917 * * [misc]simplify: iters left: 2 (15 enodes) 1544000958.919 * * [misc]simplify: iters left: 1 (17 enodes) 1544000958.923 * [exit]simplify: Simplified to (* (* PI n) 2) 1544000958.923 * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (* (cbrt (pow (* (* PI n) 2) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1544000958.923 * * * * [misc]progress: [ 47 / 48 ] simplifiying candidate # 1544000958.923 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544000958.924 * * [misc]simplify: iters left: 4 (5 enodes) 1544000958.925 * * [misc]simplify: iters left: 3 (9 enodes) 1544000958.928 * * [misc]simplify: iters left: 2 (15 enodes) 1544000958.932 * * [misc]simplify: iters left: 1 (17 enodes) 1544000958.936 * [exit]simplify: Simplified to (* (* PI n) 2) 1544000958.936 * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (* (cbrt (pow (* (* PI n) 2) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1544000958.937 * * * * [misc]progress: [ 48 / 48 ] simplifiying candidate # 1544000958.937 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544000958.937 * * [misc]simplify: iters left: 4 (5 enodes) 1544000958.939 * * [misc]simplify: iters left: 3 (9 enodes) 1544000958.941 * * [misc]simplify: iters left: 2 (15 enodes) 1544000958.944 * * [misc]simplify: iters left: 1 (17 enodes) 1544000958.946 * [exit]simplify: Simplified to (* (* PI n) 2) 1544000958.946 * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (* (cbrt (pow (* (* PI n) 2) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1544000958.946 * * * [misc]progress: adding candidates to table 1544000959.774 * * [misc]progress: iteration 4 / 4 1544000959.774 * * * [misc]progress: picking best candidate 1544000959.828 * * * * [misc]pick: Picked # 1544000959.828 * * * [misc]progress: localizing error 1544000959.846 * * * [misc]progress: generating rewritten candidates 1544000959.846 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1 1 1) 1544000959.848 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1) 1544000959.851 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) 1544000959.871 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) 1544000959.895 * * * [misc]progress: generating series expansions 1544000959.895 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1 1 1) 1544000959.896 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1544000959.896 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1544000959.896 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544000959.896 * [misc]taylor: Taking taylor expansion of 2 in n 1544000959.896 * [misc]backup-simplify: Simplify 2 into 2 1544000959.896 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544000959.896 * [misc]taylor: Taking taylor expansion of n in n 1544000959.896 * [misc]backup-simplify: Simplify 0 into 0 1544000959.896 * [misc]backup-simplify: Simplify 1 into 1 1544000959.896 * [misc]taylor: Taking taylor expansion of PI in n 1544000959.896 * [misc]backup-simplify: Simplify PI into PI 1544000959.896 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544000959.896 * [misc]taylor: Taking taylor expansion of 2 in n 1544000959.896 * [misc]backup-simplify: Simplify 2 into 2 1544000959.896 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544000959.896 * [misc]taylor: Taking taylor expansion of n in n 1544000959.896 * [misc]backup-simplify: Simplify 0 into 0 1544000959.896 * [misc]backup-simplify: Simplify 1 into 1 1544000959.896 * [misc]taylor: Taking taylor expansion of PI in n 1544000959.896 * [misc]backup-simplify: Simplify PI into PI 1544000959.897 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544000959.897 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544000959.897 * [misc]backup-simplify: Simplify 0 into 0 1544000959.898 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544000959.898 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544000959.899 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544000959.900 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544000959.901 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1544000959.901 * [misc]backup-simplify: Simplify 0 into 0 1544000959.902 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1544000959.904 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1544000959.904 * [misc]backup-simplify: Simplify 0 into 0 1544000959.906 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544000959.917 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1544000959.917 * [misc]backup-simplify: Simplify 0 into 0 1544000959.920 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544000959.923 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1544000959.923 * [misc]backup-simplify: Simplify 0 into 0 1544000959.926 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544000959.929 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1544000959.929 * [misc]backup-simplify: Simplify 0 into 0 1544000959.934 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1544000959.938 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1544000959.938 * [misc]backup-simplify: Simplify 0 into 0 1544000959.938 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1544000959.938 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1544000959.938 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1544000959.938 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544000959.938 * [misc]taylor: Taking taylor expansion of 2 in n 1544000959.938 * [misc]backup-simplify: Simplify 2 into 2 1544000959.938 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544000959.938 * [misc]taylor: Taking taylor expansion of PI in n 1544000959.938 * [misc]backup-simplify: Simplify PI into PI 1544000959.939 * [misc]taylor: Taking taylor expansion of n in n 1544000959.939 * [misc]backup-simplify: Simplify 0 into 0 1544000959.939 * [misc]backup-simplify: Simplify 1 into 1 1544000959.939 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544000959.939 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544000959.939 * [misc]taylor: Taking taylor expansion of 2 in n 1544000959.939 * [misc]backup-simplify: Simplify 2 into 2 1544000959.939 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544000959.939 * [misc]taylor: Taking taylor expansion of PI in n 1544000959.939 * [misc]backup-simplify: Simplify PI into PI 1544000959.939 * [misc]taylor: Taking taylor expansion of n in n 1544000959.939 * [misc]backup-simplify: Simplify 0 into 0 1544000959.939 * [misc]backup-simplify: Simplify 1 into 1 1544000959.939 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544000959.940 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544000959.940 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544000959.941 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544000959.942 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544000959.942 * [misc]backup-simplify: Simplify 0 into 0 1544000959.943 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000959.945 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544000959.945 * [misc]backup-simplify: Simplify 0 into 0 1544000959.946 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000959.948 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544000959.948 * [misc]backup-simplify: Simplify 0 into 0 1544000959.950 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000959.952 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544000959.952 * [misc]backup-simplify: Simplify 0 into 0 1544000959.954 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000959.957 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544000959.957 * [misc]backup-simplify: Simplify 0 into 0 1544000959.959 * [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 1544000959.963 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544000959.963 * [misc]backup-simplify: Simplify 0 into 0 1544000959.963 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1544000959.963 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1544000959.963 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1544000959.963 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544000959.963 * [misc]taylor: Taking taylor expansion of -2 in n 1544000959.963 * [misc]backup-simplify: Simplify -2 into -2 1544000959.964 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544000959.964 * [misc]taylor: Taking taylor expansion of PI in n 1544000959.964 * [misc]backup-simplify: Simplify PI into PI 1544000959.964 * [misc]taylor: Taking taylor expansion of n in n 1544000959.964 * [misc]backup-simplify: Simplify 0 into 0 1544000959.964 * [misc]backup-simplify: Simplify 1 into 1 1544000959.964 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544000959.964 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544000959.964 * [misc]taylor: Taking taylor expansion of -2 in n 1544000959.964 * [misc]backup-simplify: Simplify -2 into -2 1544000959.964 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544000959.964 * [misc]taylor: Taking taylor expansion of PI in n 1544000959.964 * [misc]backup-simplify: Simplify PI into PI 1544000959.964 * [misc]taylor: Taking taylor expansion of n in n 1544000959.964 * [misc]backup-simplify: Simplify 0 into 0 1544000959.964 * [misc]backup-simplify: Simplify 1 into 1 1544000959.964 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544000959.965 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544000959.965 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544000959.966 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544000959.967 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1544000959.967 * [misc]backup-simplify: Simplify 0 into 0 1544000959.968 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000959.969 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1544000959.969 * [misc]backup-simplify: Simplify 0 into 0 1544000959.971 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000959.972 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544000959.972 * [misc]backup-simplify: Simplify 0 into 0 1544000959.974 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000959.976 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544000959.977 * [misc]backup-simplify: Simplify 0 into 0 1544000959.979 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000959.981 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544000959.981 * [misc]backup-simplify: Simplify 0 into 0 1544000959.984 * [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 1544000959.987 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544000959.987 * [misc]backup-simplify: Simplify 0 into 0 1544000959.988 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1544000959.988 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1) 1544000959.988 * [misc]backup-simplify: Simplify (* (* PI 2) n) into (* 2 (* n PI)) 1544000959.988 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1544000959.988 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544000959.988 * [misc]taylor: Taking taylor expansion of 2 in n 1544000959.988 * [misc]backup-simplify: Simplify 2 into 2 1544000959.988 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544000959.988 * [misc]taylor: Taking taylor expansion of n in n 1544000959.988 * [misc]backup-simplify: Simplify 0 into 0 1544000959.988 * [misc]backup-simplify: Simplify 1 into 1 1544000959.988 * [misc]taylor: Taking taylor expansion of PI in n 1544000959.988 * [misc]backup-simplify: Simplify PI into PI 1544000959.988 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544000959.988 * [misc]taylor: Taking taylor expansion of 2 in n 1544000959.989 * [misc]backup-simplify: Simplify 2 into 2 1544000959.989 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544000959.989 * [misc]taylor: Taking taylor expansion of n in n 1544000959.989 * [misc]backup-simplify: Simplify 0 into 0 1544000959.989 * [misc]backup-simplify: Simplify 1 into 1 1544000959.989 * [misc]taylor: Taking taylor expansion of PI in n 1544000959.989 * [misc]backup-simplify: Simplify PI into PI 1544000959.989 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544000959.989 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544000959.989 * [misc]backup-simplify: Simplify 0 into 0 1544000959.990 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544000959.990 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544000959.991 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544000959.992 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544000959.993 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1544000959.993 * [misc]backup-simplify: Simplify 0 into 0 1544000959.994 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1544000959.996 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1544000959.996 * [misc]backup-simplify: Simplify 0 into 0 1544000959.998 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544000960.000 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1544000960.000 * [misc]backup-simplify: Simplify 0 into 0 1544000960.003 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544000960.006 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1544000960.006 * [misc]backup-simplify: Simplify 0 into 0 1544000960.010 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544000960.013 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1544000960.013 * [misc]backup-simplify: Simplify 0 into 0 1544000960.017 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1544000960.021 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1544000960.021 * [misc]backup-simplify: Simplify 0 into 0 1544000960.022 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1544000960.022 * [misc]backup-simplify: Simplify (* (* PI 2) (/ 1 n)) into (* 2 (/ PI n)) 1544000960.022 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1544000960.022 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544000960.022 * [misc]taylor: Taking taylor expansion of 2 in n 1544000960.022 * [misc]backup-simplify: Simplify 2 into 2 1544000960.022 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544000960.022 * [misc]taylor: Taking taylor expansion of PI in n 1544000960.022 * [misc]backup-simplify: Simplify PI into PI 1544000960.022 * [misc]taylor: Taking taylor expansion of n in n 1544000960.022 * [misc]backup-simplify: Simplify 0 into 0 1544000960.023 * [misc]backup-simplify: Simplify 1 into 1 1544000960.023 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544000960.023 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544000960.023 * [misc]taylor: Taking taylor expansion of 2 in n 1544000960.023 * [misc]backup-simplify: Simplify 2 into 2 1544000960.023 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544000960.023 * [misc]taylor: Taking taylor expansion of PI in n 1544000960.023 * [misc]backup-simplify: Simplify PI into PI 1544000960.023 * [misc]taylor: Taking taylor expansion of n in n 1544000960.023 * [misc]backup-simplify: Simplify 0 into 0 1544000960.023 * [misc]backup-simplify: Simplify 1 into 1 1544000960.023 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544000960.024 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544000960.024 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544000960.025 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544000960.026 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544000960.026 * [misc]backup-simplify: Simplify 0 into 0 1544000960.027 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000960.028 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544000960.028 * [misc]backup-simplify: Simplify 0 into 0 1544000960.030 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000960.031 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544000960.031 * [misc]backup-simplify: Simplify 0 into 0 1544000960.033 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000960.035 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544000960.035 * [misc]backup-simplify: Simplify 0 into 0 1544000960.037 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000960.040 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544000960.040 * [misc]backup-simplify: Simplify 0 into 0 1544000960.043 * [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 1544000960.046 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544000960.046 * [misc]backup-simplify: Simplify 0 into 0 1544000960.047 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1544000960.047 * [misc]backup-simplify: Simplify (* (* PI 2) (/ 1 (- n))) into (* -2 (/ PI n)) 1544000960.047 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1544000960.047 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544000960.047 * [misc]taylor: Taking taylor expansion of -2 in n 1544000960.047 * [misc]backup-simplify: Simplify -2 into -2 1544000960.047 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544000960.047 * [misc]taylor: Taking taylor expansion of PI in n 1544000960.047 * [misc]backup-simplify: Simplify PI into PI 1544000960.047 * [misc]taylor: Taking taylor expansion of n in n 1544000960.047 * [misc]backup-simplify: Simplify 0 into 0 1544000960.047 * [misc]backup-simplify: Simplify 1 into 1 1544000960.047 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544000960.048 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544000960.048 * [misc]taylor: Taking taylor expansion of -2 in n 1544000960.048 * [misc]backup-simplify: Simplify -2 into -2 1544000960.048 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544000960.048 * [misc]taylor: Taking taylor expansion of PI in n 1544000960.048 * [misc]backup-simplify: Simplify PI into PI 1544000960.048 * [misc]taylor: Taking taylor expansion of n in n 1544000960.048 * [misc]backup-simplify: Simplify 0 into 0 1544000960.048 * [misc]backup-simplify: Simplify 1 into 1 1544000960.048 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544000960.048 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544000960.049 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544000960.050 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544000960.050 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1544000960.050 * [misc]backup-simplify: Simplify 0 into 0 1544000960.052 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000960.053 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1544000960.053 * [misc]backup-simplify: Simplify 0 into 0 1544000960.055 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000960.056 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544000960.056 * [misc]backup-simplify: Simplify 0 into 0 1544000960.058 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000960.060 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544000960.060 * [misc]backup-simplify: Simplify 0 into 0 1544000960.061 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000960.063 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544000960.063 * [misc]backup-simplify: Simplify 0 into 0 1544000960.064 * [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 1544000960.067 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544000960.067 * [misc]backup-simplify: Simplify 0 into 0 1544000960.067 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1544000960.067 * * * * [misc]progress: [ 3 / 4 ] generating series at (2) 1544000960.068 * [misc]backup-simplify: Simplify (* (sqrt (* (* PI 2) n)) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) into (* (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) (sqrt (/ (* n PI) k))) 1544000960.068 * [misc]approximate: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) (sqrt (/ (* n PI) k))) in (n k) around 0 1544000960.068 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) (sqrt (/ (* n PI) k))) in k 1544000960.068 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) in k 1544000960.068 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1544000960.068 * [misc]taylor: Taking taylor expansion of 2 in k 1544000960.068 * [misc]backup-simplify: Simplify 2 into 2 1544000960.068 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544000960.068 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544000960.068 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- (* 1/2 k))) in k 1544000960.068 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 (* n PI))))) in k 1544000960.068 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 (* n PI)))) in k 1544000960.068 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in k 1544000960.068 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544000960.068 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544000960.068 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000960.068 * [misc]taylor: Taking taylor expansion of k in k 1544000960.068 * [misc]backup-simplify: Simplify 0 into 0 1544000960.069 * [misc]backup-simplify: Simplify 1 into 1 1544000960.069 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1544000960.069 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1544000960.069 * [misc]taylor: Taking taylor expansion of 2 in k 1544000960.069 * [misc]backup-simplify: Simplify 2 into 2 1544000960.069 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1544000960.069 * [misc]taylor: Taking taylor expansion of n in k 1544000960.069 * [misc]backup-simplify: Simplify n into n 1544000960.069 * [misc]taylor: Taking taylor expansion of PI in k 1544000960.069 * [misc]backup-simplify: Simplify PI into PI 1544000960.069 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1544000960.069 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1544000960.069 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1544000960.069 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544000960.069 * [misc]backup-simplify: Simplify (- 0) into 0 1544000960.069 * [misc]backup-simplify: Simplify (* 0 (log (* 2 (* n PI)))) into 0 1544000960.069 * [misc]backup-simplify: Simplify (- 0) into 0 1544000960.070 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1544000960.070 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1544000960.070 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1544000960.070 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544000960.070 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544000960.071 * [misc]backup-simplify: Simplify (+ (* 0 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 1544000960.071 * [misc]backup-simplify: Simplify (exp 0) into 1 1544000960.071 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* n PI) k)) in k 1544000960.071 * [misc]taylor: Taking taylor expansion of (/ (* n PI) k) in k 1544000960.071 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1544000960.071 * [misc]taylor: Taking taylor expansion of n in k 1544000960.071 * [misc]backup-simplify: Simplify n into n 1544000960.071 * [misc]taylor: Taking taylor expansion of PI in k 1544000960.071 * [misc]backup-simplify: Simplify PI into PI 1544000960.071 * [misc]taylor: Taking taylor expansion of k in k 1544000960.071 * [misc]backup-simplify: Simplify 0 into 0 1544000960.071 * [misc]backup-simplify: Simplify 1 into 1 1544000960.071 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1544000960.071 * [misc]backup-simplify: Simplify (/ (* n PI) 1) into (* n PI) 1544000960.071 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544000960.071 * [misc]backup-simplify: Simplify (/ (* n PI) (* 2 (sqrt 0))) into (* +nan.0 (* n PI)) 1544000960.071 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) (sqrt (/ (* n PI) k))) in n 1544000960.071 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) in n 1544000960.071 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544000960.071 * [misc]taylor: Taking taylor expansion of 2 in n 1544000960.071 * [misc]backup-simplify: Simplify 2 into 2 1544000960.071 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544000960.071 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544000960.071 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- (* 1/2 k))) in n 1544000960.072 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 (* n PI))))) in n 1544000960.072 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 (* n PI)))) in n 1544000960.072 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in n 1544000960.072 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544000960.072 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544000960.072 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000960.072 * [misc]taylor: Taking taylor expansion of k in n 1544000960.072 * [misc]backup-simplify: Simplify k into k 1544000960.072 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544000960.072 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544000960.072 * [misc]taylor: Taking taylor expansion of 2 in n 1544000960.072 * [misc]backup-simplify: Simplify 2 into 2 1544000960.072 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544000960.072 * [misc]taylor: Taking taylor expansion of n in n 1544000960.072 * [misc]backup-simplify: Simplify 0 into 0 1544000960.072 * [misc]backup-simplify: Simplify 1 into 1 1544000960.072 * [misc]taylor: Taking taylor expansion of PI in n 1544000960.072 * [misc]backup-simplify: Simplify PI into PI 1544000960.072 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544000960.072 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544000960.072 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544000960.073 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544000960.073 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544000960.073 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544000960.073 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544000960.074 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544000960.074 * [misc]backup-simplify: Simplify (* (- (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* -1/2 (* (+ (log n) (log (* 2 PI))) k)) 1544000960.074 * [misc]backup-simplify: Simplify (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) into (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) 1544000960.074 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* n PI) k)) in n 1544000960.074 * [misc]taylor: Taking taylor expansion of (/ (* n PI) k) in n 1544000960.074 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544000960.074 * [misc]taylor: Taking taylor expansion of n in n 1544000960.074 * [misc]backup-simplify: Simplify 0 into 0 1544000960.074 * [misc]backup-simplify: Simplify 1 into 1 1544000960.074 * [misc]taylor: Taking taylor expansion of PI in n 1544000960.074 * [misc]backup-simplify: Simplify PI into PI 1544000960.074 * [misc]taylor: Taking taylor expansion of k in n 1544000960.074 * [misc]backup-simplify: Simplify k into k 1544000960.075 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544000960.075 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544000960.075 * [misc]backup-simplify: Simplify (/ PI k) into (/ PI k) 1544000960.075 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544000960.075 * [misc]backup-simplify: Simplify (/ (/ PI k) (* 2 (sqrt 0))) into (* +nan.0 (/ PI k)) 1544000960.075 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) (sqrt (/ (* n PI) k))) in n 1544000960.075 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) in n 1544000960.075 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544000960.075 * [misc]taylor: Taking taylor expansion of 2 in n 1544000960.075 * [misc]backup-simplify: Simplify 2 into 2 1544000960.076 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544000960.076 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544000960.076 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- (* 1/2 k))) in n 1544000960.076 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 (* n PI))))) in n 1544000960.076 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 (* n PI)))) in n 1544000960.076 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in n 1544000960.076 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544000960.076 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544000960.076 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000960.076 * [misc]taylor: Taking taylor expansion of k in n 1544000960.076 * [misc]backup-simplify: Simplify k into k 1544000960.076 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544000960.076 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544000960.076 * [misc]taylor: Taking taylor expansion of 2 in n 1544000960.076 * [misc]backup-simplify: Simplify 2 into 2 1544000960.076 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544000960.076 * [misc]taylor: Taking taylor expansion of n in n 1544000960.076 * [misc]backup-simplify: Simplify 0 into 0 1544000960.076 * [misc]backup-simplify: Simplify 1 into 1 1544000960.076 * [misc]taylor: Taking taylor expansion of PI in n 1544000960.076 * [misc]backup-simplify: Simplify PI into PI 1544000960.076 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544000960.076 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544000960.077 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544000960.077 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544000960.077 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544000960.077 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544000960.077 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544000960.078 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544000960.078 * [misc]backup-simplify: Simplify (* (- (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* -1/2 (* (+ (log n) (log (* 2 PI))) k)) 1544000960.079 * [misc]backup-simplify: Simplify (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) into (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) 1544000960.079 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* n PI) k)) in n 1544000960.079 * [misc]taylor: Taking taylor expansion of (/ (* n PI) k) in n 1544000960.079 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544000960.079 * [misc]taylor: Taking taylor expansion of n in n 1544000960.079 * [misc]backup-simplify: Simplify 0 into 0 1544000960.079 * [misc]backup-simplify: Simplify 1 into 1 1544000960.079 * [misc]taylor: Taking taylor expansion of PI in n 1544000960.079 * [misc]backup-simplify: Simplify PI into PI 1544000960.079 * [misc]taylor: Taking taylor expansion of k in n 1544000960.079 * [misc]backup-simplify: Simplify k into k 1544000960.079 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544000960.079 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544000960.079 * [misc]backup-simplify: Simplify (/ PI k) into (/ PI k) 1544000960.079 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544000960.080 * [misc]backup-simplify: Simplify (/ (/ PI k) (* 2 (sqrt 0))) into (* +nan.0 (/ PI k)) 1544000960.080 * [misc]backup-simplify: Simplify (* (sqrt 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))) into (* (sqrt 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))) 1544000960.081 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))) 0) into 0 1544000960.081 * [misc]taylor: Taking taylor expansion of 0 in k 1544000960.081 * [misc]backup-simplify: Simplify 0 into 0 1544000960.081 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544000960.081 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544000960.082 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1544000960.084 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544000960.084 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1544000960.084 * [misc]backup-simplify: Simplify (- 0) into 0 1544000960.084 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544000960.085 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1544000960.086 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1544000960.086 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) into 0 1544000960.087 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))) (* +nan.0 (/ PI k))) (* 0 0)) into (- (* +nan.0 (/ (* (sqrt 2) (* PI (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) k))) 1544000960.087 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (* PI (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) k))) in k 1544000960.087 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (* PI (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) k)) in k 1544000960.087 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1544000960.087 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544000960.087 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt 2) (* PI (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) k) in k 1544000960.087 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* PI (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) in k 1544000960.087 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1544000960.087 * [misc]taylor: Taking taylor expansion of 2 in k 1544000960.087 * [misc]backup-simplify: Simplify 2 into 2 1544000960.087 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544000960.087 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544000960.087 * [misc]taylor: Taking taylor expansion of (* PI (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))) in k 1544000960.087 * [misc]taylor: Taking taylor expansion of PI in k 1544000960.087 * [misc]backup-simplify: Simplify PI into PI 1544000960.087 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) in k 1544000960.087 * [misc]taylor: Taking taylor expansion of (* -1/2 (* (+ (log n) (log (* 2 PI))) k)) in k 1544000960.087 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544000960.088 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544000960.088 * [misc]taylor: Taking taylor expansion of (* (+ (log n) (log (* 2 PI))) k) in k 1544000960.088 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1544000960.088 * [misc]taylor: Taking taylor expansion of (log n) in k 1544000960.088 * [misc]taylor: Taking taylor expansion of n in k 1544000960.088 * [misc]backup-simplify: Simplify n into n 1544000960.088 * [misc]backup-simplify: Simplify (log n) into (log n) 1544000960.088 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544000960.088 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544000960.088 * [misc]taylor: Taking taylor expansion of 2 in k 1544000960.088 * [misc]backup-simplify: Simplify 2 into 2 1544000960.088 * [misc]taylor: Taking taylor expansion of PI in k 1544000960.088 * [misc]backup-simplify: Simplify PI into PI 1544000960.088 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544000960.089 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544000960.089 * [misc]taylor: Taking taylor expansion of k in k 1544000960.089 * [misc]backup-simplify: Simplify 0 into 0 1544000960.089 * [misc]backup-simplify: Simplify 1 into 1 1544000960.089 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544000960.090 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) 0) into 0 1544000960.090 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1544000960.091 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1544000960.091 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544000960.094 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544000960.094 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544000960.095 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 1) (* 0 0)) into (+ (log n) (log (* 2 PI))) 1544000960.096 * [misc]backup-simplify: Simplify (+ (* -1/2 (+ (log n) (log (* 2 PI)))) (* 0 0)) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1544000960.096 * [misc]backup-simplify: Simplify (exp 0) into 1 1544000960.096 * [misc]taylor: Taking taylor expansion of k in k 1544000960.096 * [misc]backup-simplify: Simplify 0 into 0 1544000960.096 * [misc]backup-simplify: Simplify 1 into 1 1544000960.096 * [misc]backup-simplify: Simplify (* PI 1) into PI 1544000960.097 * [misc]backup-simplify: Simplify (* (sqrt 2) PI) into (* (sqrt 2) PI) 1544000960.097 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) PI) 1) into (* (sqrt 2) PI) 1544000960.098 * [misc]backup-simplify: Simplify (* +nan.0 (* (sqrt 2) PI)) into (* +nan.0 (* (sqrt 2) PI)) 1544000960.099 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1544000960.100 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1544000960.100 * [misc]backup-simplify: Simplify 0 into 0 1544000960.101 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544000960.101 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ PI k) (/ 0 k)))) into 0 1544000960.102 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (/ PI k)) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow PI 2) (pow k 2))) 1544000960.102 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544000960.104 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1544000960.105 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1544000960.111 * [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 1544000960.111 * [misc]backup-simplify: Simplify (- 0) into 0 1544000960.111 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1544000960.111 * [misc]backup-simplify: Simplify (- 0) into 0 1544000960.112 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544000960.113 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1544000960.116 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544000960.117 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1544000960.118 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))))) into 0 1544000960.120 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))) (* +nan.0 (/ (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (/ PI k))) (* 0 0))) into (- (* +nan.0 (/ (* (sqrt 2) (* (pow PI 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) (pow k 2)))) 1544000960.120 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (* (pow PI 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) (pow k 2)))) in k 1544000960.120 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (* (pow PI 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) (pow k 2))) in k 1544000960.120 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1544000960.120 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544000960.120 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt 2) (* (pow PI 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) (pow k 2)) in k 1544000960.120 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) in k 1544000960.120 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1544000960.120 * [misc]taylor: Taking taylor expansion of 2 in k 1544000960.120 * [misc]backup-simplify: Simplify 2 into 2 1544000960.120 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544000960.121 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544000960.121 * [misc]taylor: Taking taylor expansion of (* (pow PI 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))) in k 1544000960.121 * [misc]taylor: Taking taylor expansion of (pow PI 2) in k 1544000960.121 * [misc]taylor: Taking taylor expansion of PI in k 1544000960.121 * [misc]backup-simplify: Simplify PI into PI 1544000960.121 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) in k 1544000960.121 * [misc]taylor: Taking taylor expansion of (* -1/2 (* (+ (log n) (log (* 2 PI))) k)) in k 1544000960.121 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544000960.121 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544000960.121 * [misc]taylor: Taking taylor expansion of (* (+ (log n) (log (* 2 PI))) k) in k 1544000960.121 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1544000960.121 * [misc]taylor: Taking taylor expansion of (log n) in k 1544000960.121 * [misc]taylor: Taking taylor expansion of n in k 1544000960.121 * [misc]backup-simplify: Simplify n into n 1544000960.121 * [misc]backup-simplify: Simplify (log n) into (log n) 1544000960.121 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544000960.121 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544000960.121 * [misc]taylor: Taking taylor expansion of 2 in k 1544000960.121 * [misc]backup-simplify: Simplify 2 into 2 1544000960.121 * [misc]taylor: Taking taylor expansion of PI in k 1544000960.121 * [misc]backup-simplify: Simplify PI into PI 1544000960.122 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544000960.122 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544000960.122 * [misc]taylor: Taking taylor expansion of k in k 1544000960.122 * [misc]backup-simplify: Simplify 0 into 0 1544000960.122 * [misc]backup-simplify: Simplify 1 into 1 1544000960.123 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544000960.123 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) 0) into 0 1544000960.123 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1544000960.124 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1544000960.125 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544000960.128 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544000960.128 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544000960.128 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 1) (* 0 0)) into (+ (log n) (log (* 2 PI))) 1544000960.129 * [misc]backup-simplify: Simplify (+ (* -1/2 (+ (log n) (log (* 2 PI)))) (* 0 0)) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1544000960.129 * [misc]backup-simplify: Simplify (exp 0) into 1 1544000960.129 * [misc]taylor: Taking taylor expansion of (pow k 2) in k 1544000960.129 * [misc]taylor: Taking taylor expansion of k in k 1544000960.129 * [misc]backup-simplify: Simplify 0 into 0 1544000960.129 * [misc]backup-simplify: Simplify 1 into 1 1544000960.130 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1544000960.130 * [misc]backup-simplify: Simplify (* (pow PI 2) 1) into (pow PI 2) 1544000960.131 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2)) 1544000960.131 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544000960.132 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) (pow PI 2)) 1) into (* (sqrt 2) (pow PI 2)) 1544000960.133 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1544000960.134 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 1544000960.136 * [misc]backup-simplify: Simplify (+ (* (pow PI 2) (* -1 (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))))) (* 0 1)) into (- (+ (* 1/2 (* (pow PI 2) (log (* 2 PI)))) (* 1/2 (* (pow PI 2) (log n))))) 1544000960.138 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (- (+ (* 1/2 (* (pow PI 2) (log (* 2 PI)))) (* 1/2 (* (pow PI 2) (log n)))))) (* 0 (pow PI 2))) into (- (+ (* 1/2 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (* 1/2 (* (sqrt 2) (* (pow PI 2) (log n)))))) 1544000960.139 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1544000960.143 * [misc]backup-simplify: Simplify (- (/ (- (+ (* 1/2 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (* 1/2 (* (sqrt 2) (* (pow PI 2) (log n)))))) 1) (+ (* (* (sqrt 2) (pow PI 2)) (/ 0 1)))) into (- (+ (* 1/2 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (* 1/2 (* (sqrt 2) (* (pow PI 2) (log n)))))) 1544000960.147 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* 1/2 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (* 1/2 (* (sqrt 2) (* (pow PI 2) (log n))))))) (* 0 (* (sqrt 2) (pow PI 2)))) into (- (+ (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (- (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log n))))))) 1544000960.151 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (- (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log n)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (- (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log n))))))) 1544000960.153 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (- (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log n))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (- (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log n))))))) 1544000960.155 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1544000960.156 * [misc]backup-simplify: Simplify (+ (* PI (* -1 (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))))) (* 0 1)) into (- (+ (* 1/2 (* PI (log (* 2 PI)))) (* 1/2 (* PI (log n))))) 1544000960.158 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (- (+ (* 1/2 (* PI (log (* 2 PI)))) (* 1/2 (* PI (log n)))))) (* 0 PI)) into (- (+ (* 1/2 (* (sqrt 2) (* PI (log n)))) (* 1/2 (* (sqrt 2) (* PI (log (* 2 PI))))))) 1544000960.161 * [misc]backup-simplify: Simplify (- (/ (- (+ (* 1/2 (* (sqrt 2) (* PI (log n)))) (* 1/2 (* (sqrt 2) (* PI (log (* 2 PI))))))) 1) (+ (* (* (sqrt 2) PI) (/ 0 1)))) into (- (+ (* 1/2 (* (sqrt 2) (* PI (log n)))) (* 1/2 (* (sqrt 2) (* PI (log (* 2 PI))))))) 1544000960.165 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* 1/2 (* (sqrt 2) (* PI (log n)))) (* 1/2 (* (sqrt 2) (* PI (log (* 2 PI)))))))) (* 0 (* (sqrt 2) PI))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 1544000960.168 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 1544000960.170 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 1544000960.178 * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) (* 1 n)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (- (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log n))))))) (* (/ 1 k) (pow n 2))) (* (- (* +nan.0 (* (sqrt 2) PI))) (* (/ 1 k) n)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* n PI)) k)) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (log (* 2 PI)))))) (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow n 2) (* (pow PI 2) (log n)))) k)) (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow n 2) (* (pow PI 2) (log (* 2 PI))))) k)) (- (* +nan.0 (* (sqrt 2) (* n (* PI (log n)))))))))))))) 1544000960.179 * [misc]backup-simplify: Simplify (* (sqrt (* (* PI 2) (/ 1 n))) (/ (/ (pow (* PI (* (/ 1 n) 2)) (- (/ (/ 1 k) 2))) (sqrt (sqrt (/ 1 k)))) (sqrt (sqrt (/ 1 k))))) into (* (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) (sqrt (/ (* PI k) n))) 1544000960.179 * [misc]approximate: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) (sqrt (/ (* PI k) n))) in (n k) around 0 1544000960.179 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) (sqrt (/ (* PI k) n))) in k 1544000960.179 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) in k 1544000960.179 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1544000960.179 * [misc]taylor: Taking taylor expansion of 2 in k 1544000960.179 * [misc]backup-simplify: Simplify 2 into 2 1544000960.180 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544000960.180 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544000960.180 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) in k 1544000960.180 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1544000960.180 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1544000960.180 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in k 1544000960.180 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544000960.180 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544000960.180 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000960.180 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544000960.180 * [misc]taylor: Taking taylor expansion of k in k 1544000960.180 * [misc]backup-simplify: Simplify 0 into 0 1544000960.180 * [misc]backup-simplify: Simplify 1 into 1 1544000960.181 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544000960.181 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1544000960.181 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1544000960.181 * [misc]taylor: Taking taylor expansion of 2 in k 1544000960.181 * [misc]backup-simplify: Simplify 2 into 2 1544000960.181 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544000960.181 * [misc]taylor: Taking taylor expansion of PI in k 1544000960.181 * [misc]backup-simplify: Simplify PI into PI 1544000960.181 * [misc]taylor: Taking taylor expansion of n in k 1544000960.181 * [misc]backup-simplify: Simplify n into n 1544000960.181 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544000960.181 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1544000960.181 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1544000960.181 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544000960.181 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544000960.182 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1544000960.182 * [misc]backup-simplify: Simplify (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) 1544000960.182 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* PI k) n)) in k 1544000960.182 * [misc]taylor: Taking taylor expansion of (/ (* PI k) n) in k 1544000960.182 * [misc]taylor: Taking taylor expansion of (* PI k) in k 1544000960.182 * [misc]taylor: Taking taylor expansion of PI in k 1544000960.182 * [misc]backup-simplify: Simplify PI into PI 1544000960.182 * [misc]taylor: Taking taylor expansion of k in k 1544000960.182 * [misc]backup-simplify: Simplify 0 into 0 1544000960.182 * [misc]backup-simplify: Simplify 1 into 1 1544000960.182 * [misc]taylor: Taking taylor expansion of n in k 1544000960.182 * [misc]backup-simplify: Simplify n into n 1544000960.182 * [misc]backup-simplify: Simplify (* PI 0) into 0 1544000960.183 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1544000960.183 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544000960.183 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544000960.183 * [misc]backup-simplify: Simplify (/ (/ PI n) (* 2 (sqrt 0))) into (* +nan.0 (/ PI n)) 1544000960.183 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) (sqrt (/ (* PI k) n))) in n 1544000960.183 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) in n 1544000960.184 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544000960.184 * [misc]taylor: Taking taylor expansion of 2 in n 1544000960.184 * [misc]backup-simplify: Simplify 2 into 2 1544000960.184 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544000960.184 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544000960.184 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) in n 1544000960.184 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1544000960.184 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1544000960.184 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in n 1544000960.184 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544000960.184 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544000960.184 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000960.184 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544000960.184 * [misc]taylor: Taking taylor expansion of k in n 1544000960.184 * [misc]backup-simplify: Simplify k into k 1544000960.184 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544000960.184 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544000960.184 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544000960.184 * [misc]taylor: Taking taylor expansion of 2 in n 1544000960.184 * [misc]backup-simplify: Simplify 2 into 2 1544000960.184 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544000960.184 * [misc]taylor: Taking taylor expansion of PI in n 1544000960.184 * [misc]backup-simplify: Simplify PI into PI 1544000960.184 * [misc]taylor: Taking taylor expansion of n in n 1544000960.184 * [misc]backup-simplify: Simplify 0 into 0 1544000960.184 * [misc]backup-simplify: Simplify 1 into 1 1544000960.184 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544000960.184 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544000960.185 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544000960.185 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544000960.185 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544000960.185 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544000960.186 * [misc]backup-simplify: Simplify (* (- (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1544000960.186 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1544000960.186 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* PI k) n)) in n 1544000960.186 * [misc]taylor: Taking taylor expansion of (/ (* PI k) n) in n 1544000960.186 * [misc]taylor: Taking taylor expansion of (* PI k) in n 1544000960.186 * [misc]taylor: Taking taylor expansion of PI in n 1544000960.186 * [misc]backup-simplify: Simplify PI into PI 1544000960.186 * [misc]taylor: Taking taylor expansion of k in n 1544000960.186 * [misc]backup-simplify: Simplify k into k 1544000960.186 * [misc]taylor: Taking taylor expansion of n in n 1544000960.186 * [misc]backup-simplify: Simplify 0 into 0 1544000960.186 * [misc]backup-simplify: Simplify 1 into 1 1544000960.186 * [misc]backup-simplify: Simplify (* PI k) into (* PI k) 1544000960.186 * [misc]backup-simplify: Simplify (/ (* PI k) 1) into (* PI k) 1544000960.186 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544000960.187 * [misc]backup-simplify: Simplify (/ (* PI k) (* 2 (sqrt 0))) into (* +nan.0 (* PI k)) 1544000960.187 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) (sqrt (/ (* PI k) n))) in n 1544000960.187 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) in n 1544000960.187 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544000960.187 * [misc]taylor: Taking taylor expansion of 2 in n 1544000960.187 * [misc]backup-simplify: Simplify 2 into 2 1544000960.187 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544000960.187 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544000960.187 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) in n 1544000960.187 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1544000960.187 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1544000960.187 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in n 1544000960.187 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544000960.187 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544000960.187 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000960.187 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544000960.187 * [misc]taylor: Taking taylor expansion of k in n 1544000960.187 * [misc]backup-simplify: Simplify k into k 1544000960.187 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544000960.187 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544000960.187 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544000960.187 * [misc]taylor: Taking taylor expansion of 2 in n 1544000960.187 * [misc]backup-simplify: Simplify 2 into 2 1544000960.187 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544000960.187 * [misc]taylor: Taking taylor expansion of PI in n 1544000960.187 * [misc]backup-simplify: Simplify PI into PI 1544000960.187 * [misc]taylor: Taking taylor expansion of n in n 1544000960.187 * [misc]backup-simplify: Simplify 0 into 0 1544000960.187 * [misc]backup-simplify: Simplify 1 into 1 1544000960.187 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544000960.188 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544000960.188 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544000960.188 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544000960.188 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544000960.188 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544000960.189 * [misc]backup-simplify: Simplify (* (- (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1544000960.189 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1544000960.189 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* PI k) n)) in n 1544000960.189 * [misc]taylor: Taking taylor expansion of (/ (* PI k) n) in n 1544000960.189 * [misc]taylor: Taking taylor expansion of (* PI k) in n 1544000960.189 * [misc]taylor: Taking taylor expansion of PI in n 1544000960.189 * [misc]backup-simplify: Simplify PI into PI 1544000960.189 * [misc]taylor: Taking taylor expansion of k in n 1544000960.189 * [misc]backup-simplify: Simplify k into k 1544000960.189 * [misc]taylor: Taking taylor expansion of n in n 1544000960.189 * [misc]backup-simplify: Simplify 0 into 0 1544000960.189 * [misc]backup-simplify: Simplify 1 into 1 1544000960.189 * [misc]backup-simplify: Simplify (* PI k) into (* PI k) 1544000960.189 * [misc]backup-simplify: Simplify (/ (* PI k) 1) into (* PI k) 1544000960.190 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544000960.190 * [misc]backup-simplify: Simplify (/ (* PI k) (* 2 (sqrt 0))) into (* +nan.0 (* PI k)) 1544000960.190 * [misc]backup-simplify: Simplify (* (sqrt 2) (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) 1544000960.191 * [misc]backup-simplify: Simplify (* (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) 0) into 0 1544000960.191 * [misc]taylor: Taking taylor expansion of 0 in k 1544000960.191 * [misc]backup-simplify: Simplify 0 into 0 1544000960.191 * [misc]backup-simplify: Simplify 0 into 0 1544000960.191 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544000960.191 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544000960.192 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544000960.194 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544000960.194 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544000960.194 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544000960.194 * [misc]backup-simplify: Simplify (- 0) into 0 1544000960.194 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544000960.195 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1544000960.196 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1544000960.196 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))))) into 0 1544000960.197 * [misc]backup-simplify: Simplify (+ (* (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) (* +nan.0 (* PI k))) (* 0 0)) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* PI k))))) 1544000960.197 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* PI k))))) in k 1544000960.197 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* PI k)))) in k 1544000960.197 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1544000960.197 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544000960.197 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* PI k))) in k 1544000960.197 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1544000960.197 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1544000960.197 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544000960.197 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544000960.197 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1544000960.197 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1544000960.197 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544000960.197 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544000960.197 * [misc]taylor: Taking taylor expansion of 2 in k 1544000960.197 * [misc]backup-simplify: Simplify 2 into 2 1544000960.197 * [misc]taylor: Taking taylor expansion of PI in k 1544000960.197 * [misc]backup-simplify: Simplify PI into PI 1544000960.197 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544000960.198 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544000960.198 * [misc]taylor: Taking taylor expansion of (log n) in k 1544000960.198 * [misc]taylor: Taking taylor expansion of n in k 1544000960.198 * [misc]backup-simplify: Simplify n into n 1544000960.198 * [misc]backup-simplify: Simplify (log n) into (log n) 1544000960.198 * [misc]taylor: Taking taylor expansion of k in k 1544000960.198 * [misc]backup-simplify: Simplify 0 into 0 1544000960.198 * [misc]backup-simplify: Simplify 1 into 1 1544000960.198 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544000960.198 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1544000960.198 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1544000960.199 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1544000960.199 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1544000960.199 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* PI k)) in k 1544000960.199 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1544000960.199 * [misc]taylor: Taking taylor expansion of 2 in k 1544000960.199 * [misc]backup-simplify: Simplify 2 into 2 1544000960.199 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544000960.199 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544000960.199 * [misc]taylor: Taking taylor expansion of (* PI k) in k 1544000960.199 * [misc]taylor: Taking taylor expansion of PI in k 1544000960.199 * [misc]backup-simplify: Simplify PI into PI 1544000960.199 * [misc]taylor: Taking taylor expansion of k in k 1544000960.200 * [misc]backup-simplify: Simplify 0 into 0 1544000960.200 * [misc]backup-simplify: Simplify 1 into 1 1544000960.200 * [misc]backup-simplify: Simplify (* PI 0) into 0 1544000960.200 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1544000960.200 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) into 0 1544000960.200 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544000960.200 * [misc]backup-simplify: Simplify (- 0) into 0 1544000960.200 * [misc]backup-simplify: Simplify 0 into 0 1544000960.200 * [misc]backup-simplify: Simplify 0 into 0 1544000960.201 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 k)) into 0 1544000960.201 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)))) into 0 1544000960.201 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (* PI k)) 2) (+)) (* 2 0)) into (* +nan.0 (* (pow PI 2) (pow k 2))) 1544000960.201 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544000960.202 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000960.203 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544000960.206 * [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 1544000960.206 * [misc]backup-simplify: Simplify (- 0) into 0 1544000960.206 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544000960.206 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544000960.206 * [misc]backup-simplify: Simplify (- 0) into 0 1544000960.207 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544000960.207 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1544000960.210 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544000960.210 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1544000960.211 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into 0 1544000960.212 * [misc]backup-simplify: Simplify (+ (* (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0))) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 2) (pow k 2)))))) 1544000960.212 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 2) (pow k 2)))))) in k 1544000960.212 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 2) (pow k 2))))) in k 1544000960.212 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1544000960.212 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544000960.213 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 2) (pow k 2)))) in k 1544000960.213 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1544000960.213 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1544000960.213 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544000960.213 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544000960.213 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1544000960.213 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1544000960.213 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544000960.213 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544000960.213 * [misc]taylor: Taking taylor expansion of 2 in k 1544000960.213 * [misc]backup-simplify: Simplify 2 into 2 1544000960.213 * [misc]taylor: Taking taylor expansion of PI in k 1544000960.213 * [misc]backup-simplify: Simplify PI into PI 1544000960.213 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544000960.214 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544000960.214 * [misc]taylor: Taking taylor expansion of (log n) in k 1544000960.214 * [misc]taylor: Taking taylor expansion of n in k 1544000960.214 * [misc]backup-simplify: Simplify n into n 1544000960.214 * [misc]backup-simplify: Simplify (log n) into (log n) 1544000960.214 * [misc]taylor: Taking taylor expansion of k in k 1544000960.214 * [misc]backup-simplify: Simplify 0 into 0 1544000960.214 * [misc]backup-simplify: Simplify 1 into 1 1544000960.214 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544000960.214 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1544000960.215 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1544000960.216 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1544000960.217 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1544000960.217 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 2) (pow k 2))) in k 1544000960.217 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1544000960.217 * [misc]taylor: Taking taylor expansion of 2 in k 1544000960.217 * [misc]backup-simplify: Simplify 2 into 2 1544000960.217 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544000960.217 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544000960.217 * [misc]taylor: Taking taylor expansion of (* (pow PI 2) (pow k 2)) in k 1544000960.217 * [misc]taylor: Taking taylor expansion of (pow PI 2) in k 1544000960.217 * [misc]taylor: Taking taylor expansion of PI in k 1544000960.217 * [misc]backup-simplify: Simplify PI into PI 1544000960.217 * [misc]taylor: Taking taylor expansion of (pow k 2) in k 1544000960.217 * [misc]taylor: Taking taylor expansion of k in k 1544000960.217 * [misc]backup-simplify: Simplify 0 into 0 1544000960.217 * [misc]backup-simplify: Simplify 1 into 1 1544000960.218 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1544000960.219 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) PI) (* 0 0)) into (* (sqrt 2) PI) 1544000960.220 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)) (* 0 0)) into (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)) 1544000960.221 * [misc]backup-simplify: Simplify (+ (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI))) (* 0 0)) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)))) 1544000960.223 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI))))) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)))) 1544000960.224 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)))) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)))) 1544000960.224 * [misc]backup-simplify: Simplify 0 into 0 1544000960.224 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 k))) into 0 1544000960.225 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000960.226 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 (* PI k)) (* +nan.0 (* (pow PI 2) (pow k 2))))))) (* 2 0)) into (* +nan.0 (* (pow PI 3) (pow k 3))) 1544000960.226 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544000960.227 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000960.229 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544000960.237 * [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 1544000960.237 * [misc]backup-simplify: Simplify (- 0) into 0 1544000960.237 * [misc]backup-simplify: Simplify (- 0) into 0 1544000960.238 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544000960.238 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1544000960.238 * [misc]backup-simplify: Simplify (- 0) into 0 1544000960.239 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544000960.240 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1544000960.244 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1544000960.244 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1544000960.245 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1544000960.247 * [misc]backup-simplify: Simplify (+ (* (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) (* +nan.0 (* (pow PI 3) (pow k 3)))) (+ (* 0 (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0)))) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 3) (pow k 3)))))) 1544000960.247 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 3) (pow k 3)))))) in k 1544000960.247 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 3) (pow k 3))))) in k 1544000960.247 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1544000960.247 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544000960.247 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 3) (pow k 3)))) in k 1544000960.247 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1544000960.247 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1544000960.247 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544000960.247 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544000960.247 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1544000960.247 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1544000960.247 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544000960.247 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544000960.247 * [misc]taylor: Taking taylor expansion of 2 in k 1544000960.247 * [misc]backup-simplify: Simplify 2 into 2 1544000960.247 * [misc]taylor: Taking taylor expansion of PI in k 1544000960.247 * [misc]backup-simplify: Simplify PI into PI 1544000960.248 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544000960.248 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544000960.248 * [misc]taylor: Taking taylor expansion of (log n) in k 1544000960.248 * [misc]taylor: Taking taylor expansion of n in k 1544000960.248 * [misc]backup-simplify: Simplify n into n 1544000960.248 * [misc]backup-simplify: Simplify (log n) into (log n) 1544000960.248 * [misc]taylor: Taking taylor expansion of k in k 1544000960.248 * [misc]backup-simplify: Simplify 0 into 0 1544000960.248 * [misc]backup-simplify: Simplify 1 into 1 1544000960.248 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544000960.249 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1544000960.249 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1544000960.250 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1544000960.251 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1544000960.251 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 3) (pow k 3))) in k 1544000960.251 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1544000960.251 * [misc]taylor: Taking taylor expansion of 2 in k 1544000960.251 * [misc]backup-simplify: Simplify 2 into 2 1544000960.251 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544000960.251 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544000960.251 * [misc]taylor: Taking taylor expansion of (* (pow PI 3) (pow k 3)) in k 1544000960.251 * [misc]taylor: Taking taylor expansion of (pow PI 3) in k 1544000960.251 * [misc]taylor: Taking taylor expansion of PI in k 1544000960.251 * [misc]backup-simplify: Simplify PI into PI 1544000960.251 * [misc]taylor: Taking taylor expansion of (pow k 3) in k 1544000960.251 * [misc]taylor: Taking taylor expansion of k in k 1544000960.251 * [misc]backup-simplify: Simplify 0 into 0 1544000960.251 * [misc]backup-simplify: Simplify 1 into 1 1544000960.252 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 1544000960.253 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1544000960.254 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 PI) (* 0 0))) into 0 1544000960.256 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (+ (* 0 (* (sqrt 2) PI)) (* 0 0))) into 0 1544000960.257 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI))) (* 0 0))) into 0 1544000960.258 * [misc]backup-simplify: Simplify (- 0) into 0 1544000960.258 * [misc]backup-simplify: Simplify 0 into 0 1544000960.258 * [misc]backup-simplify: Simplify 0 into 0 1544000960.258 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1544000960.259 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000960.260 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (* (pow PI 2) (pow k 2))) 2) (+ (* 2 (* (* +nan.0 (* PI k)) (* +nan.0 (* (pow PI 3) (pow k 3))))))) (* 2 0)) into (* +nan.0 (* (pow PI 4) (pow k 4))) 1544000960.261 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544000960.263 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000960.265 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544000960.278 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 2 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* 2 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* 2 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* 2 PI) 1)))) 24) into 0 1544000960.279 * [misc]backup-simplify: Simplify (- 0) into 0 1544000960.279 * [misc]backup-simplify: Simplify (- 0) into 0 1544000960.279 * [misc]backup-simplify: Simplify (- 0) into 0 1544000960.279 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544000960.280 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k)))))) into 0 1544000960.280 * [misc]backup-simplify: Simplify (- 0) into 0 1544000960.281 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544000960.282 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))))) into 0 1544000960.287 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544000960.289 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1544000960.290 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))))))) into 0 1544000960.292 * [misc]backup-simplify: Simplify (+ (* (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) (* +nan.0 (* (pow PI 4) (pow k 4)))) (+ (* 0 (* +nan.0 (* (pow PI 3) (pow k 3)))) (+ (* 0 (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0))))) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 4) (pow k 4)))))) 1544000960.292 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 4) (pow k 4)))))) in k 1544000960.292 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 4) (pow k 4))))) in k 1544000960.292 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1544000960.292 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544000960.292 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 4) (pow k 4)))) in k 1544000960.292 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1544000960.292 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1544000960.292 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544000960.292 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544000960.292 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1544000960.292 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1544000960.292 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544000960.292 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544000960.292 * [misc]taylor: Taking taylor expansion of 2 in k 1544000960.292 * [misc]backup-simplify: Simplify 2 into 2 1544000960.292 * [misc]taylor: Taking taylor expansion of PI in k 1544000960.292 * [misc]backup-simplify: Simplify PI into PI 1544000960.292 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544000960.292 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544000960.292 * [misc]taylor: Taking taylor expansion of (log n) in k 1544000960.292 * [misc]taylor: Taking taylor expansion of n in k 1544000960.293 * [misc]backup-simplify: Simplify n into n 1544000960.293 * [misc]backup-simplify: Simplify (log n) into (log n) 1544000960.293 * [misc]taylor: Taking taylor expansion of k in k 1544000960.293 * [misc]backup-simplify: Simplify 0 into 0 1544000960.293 * [misc]backup-simplify: Simplify 1 into 1 1544000960.293 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544000960.293 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1544000960.293 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1544000960.294 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1544000960.294 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1544000960.294 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 4) (pow k 4))) in k 1544000960.294 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1544000960.294 * [misc]taylor: Taking taylor expansion of 2 in k 1544000960.294 * [misc]backup-simplify: Simplify 2 into 2 1544000960.294 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544000960.294 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544000960.294 * [misc]taylor: Taking taylor expansion of (* (pow PI 4) (pow k 4)) in k 1544000960.294 * [misc]taylor: Taking taylor expansion of (pow PI 4) in k 1544000960.294 * [misc]taylor: Taking taylor expansion of PI in k 1544000960.294 * [misc]backup-simplify: Simplify PI into PI 1544000960.294 * [misc]taylor: Taking taylor expansion of (pow k 4) in k 1544000960.294 * [misc]taylor: Taking taylor expansion of k in k 1544000960.294 * [misc]backup-simplify: Simplify 0 into 0 1544000960.294 * [misc]backup-simplify: Simplify 1 into 1 1544000960.295 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1544000960.295 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544000960.295 * [misc]backup-simplify: Simplify (* (pow PI 2) 1) into (pow PI 2) 1544000960.296 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2)) 1544000960.296 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 2))) into (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))) 1544000960.297 * [misc]backup-simplify: Simplify (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2)))) into (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2)))) 1544000960.298 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))))) 1544000960.298 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))))) 1544000960.299 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1544000960.299 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1544000960.300 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1544000960.302 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (+ (* 0 0) (+ (* 0 (* (sqrt 2) PI)) (* 0 0)))) into 0 1544000960.303 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI))) (* 0 0)))) into 0 1544000960.303 * [misc]backup-simplify: Simplify (- 0) into 0 1544000960.303 * [misc]backup-simplify: Simplify 0 into 0 1544000960.303 * [misc]backup-simplify: Simplify 0 into 0 1544000960.303 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 k))))) into 0 1544000960.304 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000960.305 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 (* PI k)) (* +nan.0 (* (pow PI 4) (pow k 4))))) (* 2 (* (* +nan.0 (* (pow PI 2) (pow k 2))) (* +nan.0 (* (pow PI 3) (pow k 3))))))) (* 2 0)) into (* +nan.0 (* (pow PI 5) (pow k 5))) 1544000960.305 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544000960.306 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000960.308 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544000960.319 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (* 2 PI) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (* 2 PI) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (* 2 PI) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (* 2 PI) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* 2 PI) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (* 2 PI) 1)))) 120) into 0 1544000960.319 * [misc]backup-simplify: Simplify (- 0) into 0 1544000960.319 * [misc]backup-simplify: Simplify (- 0) into 0 1544000960.320 * [misc]backup-simplify: Simplify (- 0) into 0 1544000960.320 * [misc]backup-simplify: Simplify (- 0) into 0 1544000960.320 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544000960.321 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))))) into 0 1544000960.321 * [misc]backup-simplify: Simplify (- 0) into 0 1544000960.322 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544000960.323 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))))) into 0 1544000960.332 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1544000960.333 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1544000960.334 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))))))))) into 0 1544000960.337 * [misc]backup-simplify: Simplify (+ (* (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) (* +nan.0 (* (pow PI 5) (pow k 5)))) (+ (* 0 (* +nan.0 (* (pow PI 4) (pow k 4)))) (+ (* 0 (* +nan.0 (* (pow PI 3) (pow k 3)))) (+ (* 0 (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0)))))) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 5) (pow k 5)))))) 1544000960.337 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 5) (pow k 5)))))) in k 1544000960.337 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 5) (pow k 5))))) in k 1544000960.337 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1544000960.337 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544000960.337 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 5) (pow k 5)))) in k 1544000960.337 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1544000960.337 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1544000960.337 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544000960.337 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544000960.337 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1544000960.337 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1544000960.337 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544000960.337 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544000960.337 * [misc]taylor: Taking taylor expansion of 2 in k 1544000960.337 * [misc]backup-simplify: Simplify 2 into 2 1544000960.337 * [misc]taylor: Taking taylor expansion of PI in k 1544000960.337 * [misc]backup-simplify: Simplify PI into PI 1544000960.337 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544000960.338 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544000960.338 * [misc]taylor: Taking taylor expansion of (log n) in k 1544000960.338 * [misc]taylor: Taking taylor expansion of n in k 1544000960.338 * [misc]backup-simplify: Simplify n into n 1544000960.338 * [misc]backup-simplify: Simplify (log n) into (log n) 1544000960.338 * [misc]taylor: Taking taylor expansion of k in k 1544000960.338 * [misc]backup-simplify: Simplify 0 into 0 1544000960.338 * [misc]backup-simplify: Simplify 1 into 1 1544000960.338 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544000960.339 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1544000960.339 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1544000960.340 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1544000960.340 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1544000960.340 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 5) (pow k 5))) in k 1544000960.340 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1544000960.340 * [misc]taylor: Taking taylor expansion of 2 in k 1544000960.340 * [misc]backup-simplify: Simplify 2 into 2 1544000960.340 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544000960.340 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544000960.340 * [misc]taylor: Taking taylor expansion of (* (pow PI 5) (pow k 5)) in k 1544000960.340 * [misc]taylor: Taking taylor expansion of (pow PI 5) in k 1544000960.340 * [misc]taylor: Taking taylor expansion of PI in k 1544000960.340 * [misc]backup-simplify: Simplify PI into PI 1544000960.340 * [misc]taylor: Taking taylor expansion of (pow k 5) in k 1544000960.340 * [misc]taylor: Taking taylor expansion of k in k 1544000960.340 * [misc]backup-simplify: Simplify 0 into 0 1544000960.340 * [misc]backup-simplify: Simplify 1 into 1 1544000960.341 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1544000960.341 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 1544000960.342 * [misc]backup-simplify: Simplify (+ (* (pow PI 2) 0) (* 0 1)) into 0 1544000960.342 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 2))) into 0 1544000960.343 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (* 0 (* (sqrt 2) (pow PI 2)))) into 0 1544000960.345 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))))) into 0 1544000960.345 * [misc]backup-simplify: Simplify (- 0) into 0 1544000960.345 * [misc]backup-simplify: Simplify 0 into 0 1544000960.346 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1544000960.346 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1544000960.348 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1544000960.349 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (* (sqrt 2) PI)) (* 0 0))))) into 0 1544000960.350 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI))) (* 0 0))))) into 0 1544000960.350 * [misc]backup-simplify: Simplify (- 0) into 0 1544000960.350 * [misc]backup-simplify: Simplify 0 into 0 1544000960.351 * [misc]backup-simplify: Simplify 0 into 0 1544000960.351 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))))) into 0 1544000960.352 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000960.353 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (* (pow PI 3) (pow k 3))) 2) (+ (* 2 (* (* +nan.0 (* PI k)) (* +nan.0 (* (pow PI 5) (pow k 5))))) (* 2 (* (* +nan.0 (* (pow PI 2) (pow k 2))) (* +nan.0 (* (pow PI 4) (pow k 4))))))) (* 2 0)) into (* +nan.0 (* (pow PI 6) (pow k 6))) 1544000960.353 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544000960.355 * [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 1544000960.356 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544000960.379 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (* 2 PI) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (* 2 PI) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (* 2 PI) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (* 2 PI) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (* 2 PI) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* 2 PI) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (* 2 PI) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (* 2 PI) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (* 2 PI) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (* 2 PI) 1)))) 720) into 0 1544000960.380 * [misc]backup-simplify: Simplify (- 0) into 0 1544000960.380 * [misc]backup-simplify: Simplify (- 0) into 0 1544000960.380 * [misc]backup-simplify: Simplify (- 0) into 0 1544000960.380 * [misc]backup-simplify: Simplify (- 0) into 0 1544000960.380 * [misc]backup-simplify: Simplify (- 0) into 0 1544000960.381 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544000960.382 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k)))))))) into 0 1544000960.382 * [misc]backup-simplify: Simplify (- 0) into 0 1544000960.382 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544000960.384 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))))))) into 0 1544000960.395 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544000960.396 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1544000960.397 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))))))))) into 0 1544000960.399 * [misc]backup-simplify: Simplify (+ (* (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) (* +nan.0 (* (pow PI 6) (pow k 6)))) (+ (* 0 (* +nan.0 (* (pow PI 5) (pow k 5)))) (+ (* 0 (* +nan.0 (* (pow PI 4) (pow k 4)))) (+ (* 0 (* +nan.0 (* (pow PI 3) (pow k 3)))) (+ (* 0 (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0))))))) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 6) (pow k 6)))))) 1544000960.399 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 6) (pow k 6)))))) in k 1544000960.399 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 6) (pow k 6))))) in k 1544000960.399 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1544000960.399 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544000960.399 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 6) (pow k 6)))) in k 1544000960.399 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1544000960.399 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1544000960.399 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544000960.399 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544000960.399 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1544000960.399 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1544000960.399 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544000960.399 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544000960.399 * [misc]taylor: Taking taylor expansion of 2 in k 1544000960.399 * [misc]backup-simplify: Simplify 2 into 2 1544000960.399 * [misc]taylor: Taking taylor expansion of PI in k 1544000960.399 * [misc]backup-simplify: Simplify PI into PI 1544000960.399 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544000960.399 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544000960.400 * [misc]taylor: Taking taylor expansion of (log n) in k 1544000960.400 * [misc]taylor: Taking taylor expansion of n in k 1544000960.400 * [misc]backup-simplify: Simplify n into n 1544000960.400 * [misc]backup-simplify: Simplify (log n) into (log n) 1544000960.400 * [misc]taylor: Taking taylor expansion of k in k 1544000960.400 * [misc]backup-simplify: Simplify 0 into 0 1544000960.400 * [misc]backup-simplify: Simplify 1 into 1 1544000960.400 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544000960.400 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1544000960.400 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1544000960.401 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1544000960.401 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1544000960.401 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 6) (pow k 6))) in k 1544000960.401 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1544000960.401 * [misc]taylor: Taking taylor expansion of 2 in k 1544000960.401 * [misc]backup-simplify: Simplify 2 into 2 1544000960.401 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544000960.401 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544000960.401 * [misc]taylor: Taking taylor expansion of (* (pow PI 6) (pow k 6)) in k 1544000960.401 * [misc]taylor: Taking taylor expansion of (pow PI 6) in k 1544000960.401 * [misc]taylor: Taking taylor expansion of PI in k 1544000960.401 * [misc]backup-simplify: Simplify PI into PI 1544000960.401 * [misc]taylor: Taking taylor expansion of (pow k 6) in k 1544000960.401 * [misc]taylor: Taking taylor expansion of k in k 1544000960.401 * [misc]backup-simplify: Simplify 0 into 0 1544000960.401 * [misc]backup-simplify: Simplify 1 into 1 1544000960.402 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1544000960.402 * [misc]backup-simplify: Simplify (* PI (pow PI 2)) into (pow PI 3) 1544000960.402 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544000960.402 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544000960.403 * [misc]backup-simplify: Simplify (* (pow PI 3) 1) into (pow PI 3) 1544000960.403 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 3)) into (* (sqrt 2) (pow PI 3)) 1544000960.404 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 3))) into (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3))) 1544000960.404 * [misc]backup-simplify: Simplify (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3)))) into (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3)))) 1544000960.405 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3))))) into (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3))))) 1544000960.406 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3))))) into (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3))))) 1544000960.409 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k)))) (pow PI 3))))) (* (pow (/ 1 k) 3) (pow (/ 1 n) 2))) (+ (* (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k)))) (pow PI 2))))) (* (pow (/ 1 k) 2) (/ 1 n))) (* (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k)))) (* (sqrt 2) PI)))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (pow PI 2))) (* n (pow k 2)))) (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (pow PI 3))) (* (pow n 2) (pow k 3)))) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) PI)) k))))))) 1544000960.409 * [misc]backup-simplify: Simplify (* (sqrt (* (* PI 2) (/ 1 (- n)))) (/ (/ (pow (* PI (* (/ 1 (- n)) 2)) (- (/ (/ 1 (- k)) 2))) (sqrt (sqrt (/ 1 (- k))))) (sqrt (sqrt (/ 1 (- k)))))) into (/ (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) (sqrt (/ -1 k))) 1544000960.410 * [misc]approximate: Taking taylor expansion of (/ (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) (sqrt (/ -1 k))) in (n k) around 0 1544000960.410 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) (sqrt (/ -1 k))) in k 1544000960.410 * [misc]taylor: Taking taylor expansion of (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) in k 1544000960.410 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in k 1544000960.410 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1544000960.410 * [misc]taylor: Taking taylor expansion of -2 in k 1544000960.410 * [misc]backup-simplify: Simplify -2 into -2 1544000960.410 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544000960.410 * [misc]taylor: Taking taylor expansion of PI in k 1544000960.410 * [misc]backup-simplify: Simplify PI into PI 1544000960.410 * [misc]taylor: Taking taylor expansion of n in k 1544000960.410 * [misc]backup-simplify: Simplify n into n 1544000960.410 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544000960.410 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1544000960.410 * [misc]backup-simplify: Simplify (sqrt (* -2 (/ PI n))) into (sqrt (* -2 (/ PI n))) 1544000960.410 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 1544000960.410 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (/ PI n))) into 0 1544000960.410 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* -2 (/ PI n))))) into 0 1544000960.410 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) in k 1544000960.410 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) in k 1544000960.410 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n)))) in k 1544000960.410 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544000960.410 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544000960.410 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000960.410 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544000960.410 * [misc]taylor: Taking taylor expansion of k in k 1544000960.410 * [misc]backup-simplify: Simplify 0 into 0 1544000960.410 * [misc]backup-simplify: Simplify 1 into 1 1544000960.410 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544000960.410 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1544000960.410 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1544000960.411 * [misc]taylor: Taking taylor expansion of -2 in k 1544000960.411 * [misc]backup-simplify: Simplify -2 into -2 1544000960.411 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544000960.411 * [misc]taylor: Taking taylor expansion of PI in k 1544000960.411 * [misc]backup-simplify: Simplify PI into PI 1544000960.411 * [misc]taylor: Taking taylor expansion of n in k 1544000960.411 * [misc]backup-simplify: Simplify n into n 1544000960.411 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544000960.411 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1544000960.411 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1544000960.411 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544000960.411 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1544000960.411 * [misc]backup-simplify: Simplify (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))) 1544000960.411 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544000960.411 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544000960.411 * [misc]taylor: Taking taylor expansion of -1 in k 1544000960.411 * [misc]backup-simplify: Simplify -1 into -1 1544000960.411 * [misc]taylor: Taking taylor expansion of k in k 1544000960.411 * [misc]backup-simplify: Simplify 0 into 0 1544000960.411 * [misc]backup-simplify: Simplify 1 into 1 1544000960.411 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544000960.411 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544000960.412 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544000960.412 * [misc]backup-simplify: Simplify (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))) into (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))) 1544000960.412 * [misc]backup-simplify: Simplify (/ (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))) +nan.0) into (* +nan.0 (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))))) 1544000960.412 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) (sqrt (/ -1 k))) in n 1544000960.412 * [misc]taylor: Taking taylor expansion of (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) in n 1544000960.412 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1544000960.412 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544000960.412 * [misc]taylor: Taking taylor expansion of -2 in n 1544000960.412 * [misc]backup-simplify: Simplify -2 into -2 1544000960.412 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544000960.412 * [misc]taylor: Taking taylor expansion of PI in n 1544000960.412 * [misc]backup-simplify: Simplify PI into PI 1544000960.412 * [misc]taylor: Taking taylor expansion of n in n 1544000960.412 * [misc]backup-simplify: Simplify 0 into 0 1544000960.412 * [misc]backup-simplify: Simplify 1 into 1 1544000960.412 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544000960.412 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544000960.413 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544000960.413 * [misc]backup-simplify: Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1544000960.413 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) in n 1544000960.413 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) in n 1544000960.413 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n)))) in n 1544000960.413 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544000960.413 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544000960.413 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000960.413 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544000960.413 * [misc]taylor: Taking taylor expansion of k in n 1544000960.413 * [misc]backup-simplify: Simplify k into k 1544000960.413 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544000960.413 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544000960.413 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544000960.413 * [misc]taylor: Taking taylor expansion of -2 in n 1544000960.413 * [misc]backup-simplify: Simplify -2 into -2 1544000960.413 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544000960.413 * [misc]taylor: Taking taylor expansion of PI in n 1544000960.413 * [misc]backup-simplify: Simplify PI into PI 1544000960.413 * [misc]taylor: Taking taylor expansion of n in n 1544000960.413 * [misc]backup-simplify: Simplify 0 into 0 1544000960.413 * [misc]backup-simplify: Simplify 1 into 1 1544000960.413 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544000960.414 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544000960.414 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544000960.414 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544000960.414 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544000960.415 * [misc]backup-simplify: Simplify (* (/ 1/2 k) (- (log (* -2 PI)) (log n))) into (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) 1544000960.415 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1544000960.415 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1544000960.415 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544000960.415 * [misc]taylor: Taking taylor expansion of -1 in n 1544000960.415 * [misc]backup-simplify: Simplify -1 into -1 1544000960.415 * [misc]taylor: Taking taylor expansion of k in n 1544000960.415 * [misc]backup-simplify: Simplify k into k 1544000960.415 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544000960.415 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1544000960.415 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544000960.416 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1544000960.416 * [misc]backup-simplify: Simplify (* 0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) into 0 1544000960.417 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544000960.417 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1544000960.419 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1544000960.419 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544000960.419 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544000960.419 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544000960.420 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1544000960.422 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1544000960.423 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (* +nan.0 PI) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1544000960.423 * [misc]backup-simplify: Simplify (/ (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) (sqrt (/ -1 k))) into (* +nan.0 (/ (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k)))) 1544000960.424 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) (sqrt (/ -1 k))) in n 1544000960.424 * [misc]taylor: Taking taylor expansion of (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) in n 1544000960.424 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1544000960.424 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544000960.424 * [misc]taylor: Taking taylor expansion of -2 in n 1544000960.424 * [misc]backup-simplify: Simplify -2 into -2 1544000960.424 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544000960.424 * [misc]taylor: Taking taylor expansion of PI in n 1544000960.424 * [misc]backup-simplify: Simplify PI into PI 1544000960.424 * [misc]taylor: Taking taylor expansion of n in n 1544000960.424 * [misc]backup-simplify: Simplify 0 into 0 1544000960.424 * [misc]backup-simplify: Simplify 1 into 1 1544000960.424 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544000960.424 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544000960.425 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544000960.425 * [misc]backup-simplify: Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1544000960.425 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) in n 1544000960.425 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) in n 1544000960.425 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n)))) in n 1544000960.425 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544000960.425 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544000960.425 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000960.426 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544000960.426 * [misc]taylor: Taking taylor expansion of k in n 1544000960.426 * [misc]backup-simplify: Simplify k into k 1544000960.426 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544000960.426 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544000960.426 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544000960.426 * [misc]taylor: Taking taylor expansion of -2 in n 1544000960.426 * [misc]backup-simplify: Simplify -2 into -2 1544000960.426 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544000960.426 * [misc]taylor: Taking taylor expansion of PI in n 1544000960.426 * [misc]backup-simplify: Simplify PI into PI 1544000960.426 * [misc]taylor: Taking taylor expansion of n in n 1544000960.426 * [misc]backup-simplify: Simplify 0 into 0 1544000960.426 * [misc]backup-simplify: Simplify 1 into 1 1544000960.426 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544000960.426 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544000960.427 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544000960.427 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544000960.428 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544000960.428 * [misc]backup-simplify: Simplify (* (/ 1/2 k) (- (log (* -2 PI)) (log n))) into (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) 1544000960.429 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1544000960.429 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1544000960.429 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544000960.429 * [misc]taylor: Taking taylor expansion of -1 in n 1544000960.429 * [misc]backup-simplify: Simplify -1 into -1 1544000960.429 * [misc]taylor: Taking taylor expansion of k in n 1544000960.429 * [misc]backup-simplify: Simplify k into k 1544000960.429 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544000960.430 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1544000960.430 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544000960.430 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1544000960.431 * [misc]backup-simplify: Simplify (* 0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) into 0 1544000960.432 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544000960.433 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1544000960.436 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1544000960.436 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544000960.436 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544000960.437 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544000960.438 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1544000960.439 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1544000960.440 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (* +nan.0 PI) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1544000960.441 * [misc]backup-simplify: Simplify (/ (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) (sqrt (/ -1 k))) into (* +nan.0 (/ (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k)))) 1544000960.441 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k)))) in k 1544000960.441 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1544000960.441 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544000960.441 * [misc]taylor: Taking taylor expansion of (/ (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k))) in k 1544000960.441 * [misc]taylor: Taking taylor expansion of (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) in k 1544000960.442 * [misc]taylor: Taking taylor expansion of PI in k 1544000960.442 * [misc]backup-simplify: Simplify PI into PI 1544000960.442 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k 1544000960.442 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k 1544000960.442 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544000960.442 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000960.442 * [misc]taylor: Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k 1544000960.442 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1544000960.442 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1544000960.442 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1544000960.442 * [misc]taylor: Taking taylor expansion of -2 in k 1544000960.442 * [misc]backup-simplify: Simplify -2 into -2 1544000960.442 * [misc]taylor: Taking taylor expansion of PI in k 1544000960.442 * [misc]backup-simplify: Simplify PI into PI 1544000960.443 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544000960.443 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544000960.443 * [misc]taylor: Taking taylor expansion of (log n) in k 1544000960.443 * [misc]taylor: Taking taylor expansion of n in k 1544000960.443 * [misc]backup-simplify: Simplify n into n 1544000960.443 * [misc]backup-simplify: Simplify (log n) into (log n) 1544000960.443 * [misc]taylor: Taking taylor expansion of k in k 1544000960.443 * [misc]backup-simplify: Simplify 0 into 0 1544000960.444 * [misc]backup-simplify: Simplify 1 into 1 1544000960.444 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544000960.444 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1544000960.445 * [misc]backup-simplify: Simplify (/ (- (log (* -2 PI)) (log n)) 1) into (- (log (* -2 PI)) (log n)) 1544000960.445 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1544000960.446 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1544000960.446 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544000960.446 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544000960.446 * [misc]taylor: Taking taylor expansion of -1 in k 1544000960.446 * [misc]backup-simplify: Simplify -1 into -1 1544000960.446 * [misc]taylor: Taking taylor expansion of k in k 1544000960.446 * [misc]backup-simplify: Simplify 0 into 0 1544000960.446 * [misc]backup-simplify: Simplify 1 into 1 1544000960.446 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544000960.447 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544000960.447 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544000960.448 * [misc]backup-simplify: Simplify (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) into (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) 1544000960.449 * [misc]backup-simplify: Simplify (/ (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) +nan.0) into (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1544000960.449 * [misc]backup-simplify: Simplify (* +nan.0 (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1544000960.450 * [misc]backup-simplify: Simplify (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1544000960.452 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000960.453 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1544000960.458 * [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 1544000960.458 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544000960.458 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544000960.459 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544000960.460 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1544000960.462 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544000960.463 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544000960.464 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1544000960.465 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1544000960.466 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (* +nan.0 PI) 0) (* (* +nan.0 (pow PI 2)) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (- (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1544000960.467 * [misc]backup-simplify: Simplify (- (/ (- (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) (sqrt (/ -1 k))) (+ (* (* +nan.0 (/ (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k)))) (/ 0 (sqrt (/ -1 k)))))) into (- (* +nan.0 (/ (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k))))) 1544000960.467 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k))))) in k 1544000960.467 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k)))) in k 1544000960.467 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1544000960.467 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544000960.467 * [misc]taylor: Taking taylor expansion of (/ (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k))) in k 1544000960.467 * [misc]taylor: Taking taylor expansion of (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) in k 1544000960.467 * [misc]taylor: Taking taylor expansion of (pow PI 2) in k 1544000960.467 * [misc]taylor: Taking taylor expansion of PI in k 1544000960.467 * [misc]backup-simplify: Simplify PI into PI 1544000960.467 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k 1544000960.467 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k 1544000960.467 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544000960.467 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000960.467 * [misc]taylor: Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k 1544000960.467 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1544000960.467 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1544000960.467 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1544000960.467 * [misc]taylor: Taking taylor expansion of -2 in k 1544000960.467 * [misc]backup-simplify: Simplify -2 into -2 1544000960.467 * [misc]taylor: Taking taylor expansion of PI in k 1544000960.467 * [misc]backup-simplify: Simplify PI into PI 1544000960.467 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544000960.468 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544000960.468 * [misc]taylor: Taking taylor expansion of (log n) in k 1544000960.468 * [misc]taylor: Taking taylor expansion of n in k 1544000960.468 * [misc]backup-simplify: Simplify n into n 1544000960.468 * [misc]backup-simplify: Simplify (log n) into (log n) 1544000960.468 * [misc]taylor: Taking taylor expansion of k in k 1544000960.468 * [misc]backup-simplify: Simplify 0 into 0 1544000960.468 * [misc]backup-simplify: Simplify 1 into 1 1544000960.468 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544000960.468 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1544000960.468 * [misc]backup-simplify: Simplify (/ (- (log (* -2 PI)) (log n)) 1) into (- (log (* -2 PI)) (log n)) 1544000960.469 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1544000960.469 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1544000960.469 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544000960.469 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544000960.469 * [misc]taylor: Taking taylor expansion of -1 in k 1544000960.469 * [misc]backup-simplify: Simplify -1 into -1 1544000960.469 * [misc]taylor: Taking taylor expansion of k in k 1544000960.469 * [misc]backup-simplify: Simplify 0 into 0 1544000960.469 * [misc]backup-simplify: Simplify 1 into 1 1544000960.469 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544000960.470 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544000960.470 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544000960.470 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1544000960.471 * [misc]backup-simplify: Simplify (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) into (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) 1544000960.472 * [misc]backup-simplify: Simplify (/ (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) +nan.0) into (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1544000960.472 * [misc]backup-simplify: Simplify (* +nan.0 (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1544000960.473 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (- (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1544000960.473 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (- (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1544000960.474 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into 0 1544000960.474 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1544000960.475 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544000960.475 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1544000960.476 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))))) (* 0 (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))))) into (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1544000960.477 * [misc]backup-simplify: Simplify (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1544000960.479 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k)))))))) (* (/ 1 (- k)) 1)) (+ (* (- (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k)))))))) (* 1 (/ 1 (- n)))) (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k))))))))) into (- (+ (* +nan.0 (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) PI)) (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) PI) k)) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) (pow PI 2)) n))))))) 1544000960.479 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) 1544000960.479 * [misc]backup-simplify: Simplify (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) into (* (pow (* 2 (* n PI)) (- (* 1/2 k))) (sqrt (/ 1 k))) 1544000960.479 * [misc]approximate: Taking taylor expansion of (* (pow (* 2 (* n PI)) (- (* 1/2 k))) (sqrt (/ 1 k))) in (n k) around 0 1544000960.479 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (* n PI)) (- (* 1/2 k))) (sqrt (/ 1 k))) in k 1544000960.479 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- (* 1/2 k))) in k 1544000960.479 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 (* n PI))))) in k 1544000960.479 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 (* n PI)))) in k 1544000960.479 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in k 1544000960.479 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544000960.479 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544000960.479 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000960.479 * [misc]taylor: Taking taylor expansion of k in k 1544000960.479 * [misc]backup-simplify: Simplify 0 into 0 1544000960.479 * [misc]backup-simplify: Simplify 1 into 1 1544000960.479 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1544000960.479 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1544000960.479 * [misc]taylor: Taking taylor expansion of 2 in k 1544000960.479 * [misc]backup-simplify: Simplify 2 into 2 1544000960.479 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1544000960.479 * [misc]taylor: Taking taylor expansion of n in k 1544000960.479 * [misc]backup-simplify: Simplify n into n 1544000960.479 * [misc]taylor: Taking taylor expansion of PI in k 1544000960.479 * [misc]backup-simplify: Simplify PI into PI 1544000960.479 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1544000960.479 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1544000960.479 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1544000960.480 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544000960.480 * [misc]backup-simplify: Simplify (- 0) into 0 1544000960.480 * [misc]backup-simplify: Simplify (* 0 (log (* 2 (* n PI)))) into 0 1544000960.480 * [misc]backup-simplify: Simplify (- 0) into 0 1544000960.480 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1544000960.480 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1544000960.481 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1544000960.481 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544000960.481 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544000960.481 * [misc]backup-simplify: Simplify (+ (* 0 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 1544000960.481 * [misc]backup-simplify: Simplify (exp 0) into 1 1544000960.481 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1544000960.481 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544000960.481 * [misc]taylor: Taking taylor expansion of k in k 1544000960.481 * [misc]backup-simplify: Simplify 0 into 0 1544000960.481 * [misc]backup-simplify: Simplify 1 into 1 1544000960.481 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544000960.481 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544000960.482 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544000960.482 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (* n PI)) (- (* 1/2 k))) (sqrt (/ 1 k))) in n 1544000960.482 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- (* 1/2 k))) in n 1544000960.482 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 (* n PI))))) in n 1544000960.482 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 (* n PI)))) in n 1544000960.482 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in n 1544000960.482 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544000960.482 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544000960.482 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000960.482 * [misc]taylor: Taking taylor expansion of k in n 1544000960.482 * [misc]backup-simplify: Simplify k into k 1544000960.482 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544000960.482 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544000960.482 * [misc]taylor: Taking taylor expansion of 2 in n 1544000960.482 * [misc]backup-simplify: Simplify 2 into 2 1544000960.482 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544000960.482 * [misc]taylor: Taking taylor expansion of n in n 1544000960.482 * [misc]backup-simplify: Simplify 0 into 0 1544000960.482 * [misc]backup-simplify: Simplify 1 into 1 1544000960.482 * [misc]taylor: Taking taylor expansion of PI in n 1544000960.482 * [misc]backup-simplify: Simplify PI into PI 1544000960.482 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544000960.482 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544000960.483 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544000960.483 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544000960.483 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544000960.484 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544000960.484 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544000960.484 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544000960.484 * [misc]backup-simplify: Simplify (* (- (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* -1/2 (* (+ (log n) (log (* 2 PI))) k)) 1544000960.485 * [misc]backup-simplify: Simplify (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) into (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) 1544000960.485 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1544000960.485 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544000960.485 * [misc]taylor: Taking taylor expansion of k in n 1544000960.485 * [misc]backup-simplify: Simplify k into k 1544000960.485 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544000960.485 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1544000960.485 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544000960.485 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1544000960.485 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (* n PI)) (- (* 1/2 k))) (sqrt (/ 1 k))) in n 1544000960.485 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- (* 1/2 k))) in n 1544000960.485 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 (* n PI))))) in n 1544000960.485 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 (* n PI)))) in n 1544000960.485 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in n 1544000960.485 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544000960.485 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544000960.485 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000960.485 * [misc]taylor: Taking taylor expansion of k in n 1544000960.485 * [misc]backup-simplify: Simplify k into k 1544000960.485 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544000960.485 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544000960.485 * [misc]taylor: Taking taylor expansion of 2 in n 1544000960.485 * [misc]backup-simplify: Simplify 2 into 2 1544000960.485 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544000960.485 * [misc]taylor: Taking taylor expansion of n in n 1544000960.485 * [misc]backup-simplify: Simplify 0 into 0 1544000960.485 * [misc]backup-simplify: Simplify 1 into 1 1544000960.485 * [misc]taylor: Taking taylor expansion of PI in n 1544000960.485 * [misc]backup-simplify: Simplify PI into PI 1544000960.485 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544000960.486 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544000960.486 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544000960.486 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544000960.487 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544000960.487 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544000960.487 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544000960.487 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544000960.488 * [misc]backup-simplify: Simplify (* (- (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* -1/2 (* (+ (log n) (log (* 2 PI))) k)) 1544000960.488 * [misc]backup-simplify: Simplify (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) into (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) 1544000960.488 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1544000960.488 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544000960.488 * [misc]taylor: Taking taylor expansion of k in n 1544000960.488 * [misc]backup-simplify: Simplify k into k 1544000960.488 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544000960.488 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1544000960.488 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544000960.488 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1544000960.489 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) (sqrt (/ 1 k))) into (* (sqrt (/ 1 k)) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))) 1544000960.489 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))) in k 1544000960.489 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1544000960.489 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544000960.489 * [misc]taylor: Taking taylor expansion of k in k 1544000960.489 * [misc]backup-simplify: Simplify 0 into 0 1544000960.489 * [misc]backup-simplify: Simplify 1 into 1 1544000960.489 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544000960.489 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544000960.490 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544000960.490 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) in k 1544000960.490 * [misc]taylor: Taking taylor expansion of (* -1/2 (* (+ (log n) (log (* 2 PI))) k)) in k 1544000960.490 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544000960.490 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544000960.490 * [misc]taylor: Taking taylor expansion of (* (+ (log n) (log (* 2 PI))) k) in k 1544000960.490 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1544000960.490 * [misc]taylor: Taking taylor expansion of (log n) in k 1544000960.490 * [misc]taylor: Taking taylor expansion of n in k 1544000960.490 * [misc]backup-simplify: Simplify n into n 1544000960.490 * [misc]backup-simplify: Simplify (log n) into (log n) 1544000960.490 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544000960.490 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544000960.490 * [misc]taylor: Taking taylor expansion of 2 in k 1544000960.490 * [misc]backup-simplify: Simplify 2 into 2 1544000960.490 * [misc]taylor: Taking taylor expansion of PI in k 1544000960.490 * [misc]backup-simplify: Simplify PI into PI 1544000960.490 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544000960.490 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544000960.490 * [misc]taylor: Taking taylor expansion of k in k 1544000960.490 * [misc]backup-simplify: Simplify 0 into 0 1544000960.490 * [misc]backup-simplify: Simplify 1 into 1 1544000960.491 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544000960.491 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) 0) into 0 1544000960.491 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1544000960.492 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1544000960.492 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544000960.495 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544000960.495 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544000960.496 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 1) (* 0 0)) into (+ (log n) (log (* 2 PI))) 1544000960.497 * [misc]backup-simplify: Simplify (+ (* -1/2 (+ (log n) (log (* 2 PI)))) (* 0 0)) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1544000960.497 * [misc]backup-simplify: Simplify (exp 0) into 1 1544000960.497 * [misc]backup-simplify: Simplify (* 0 1) into 0 1544000960.497 * [misc]backup-simplify: Simplify 0 into 0 1544000960.497 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544000960.498 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544000960.499 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1544000960.502 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544000960.502 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1544000960.502 * [misc]backup-simplify: Simplify (- 0) into 0 1544000960.503 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544000960.503 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1544000960.505 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1544000960.506 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) 0) (* 0 (sqrt (/ 1 k)))) into 0 1544000960.506 * [misc]taylor: Taking taylor expansion of 0 in k 1544000960.506 * [misc]backup-simplify: Simplify 0 into 0 1544000960.507 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1544000960.507 * [misc]backup-simplify: Simplify (+ (* 0 (* -1 (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))))) (* +nan.0 1)) into (- +nan.0) 1544000960.508 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) 1544000960.508 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544000960.508 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1544000960.508 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544000960.509 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1544000960.510 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1544000960.513 * [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 1544000960.513 * [misc]backup-simplify: Simplify (- 0) into 0 1544000960.513 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1544000960.513 * [misc]backup-simplify: Simplify (- 0) into 0 1544000960.514 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544000960.514 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1544000960.516 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544000960.516 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 1544000960.516 * [misc]taylor: Taking taylor expansion of 0 in k 1544000960.516 * [misc]backup-simplify: Simplify 0 into 0 1544000960.516 * [misc]backup-simplify: Simplify 0 into 0 1544000960.517 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1544000960.518 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544000960.521 * [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 1544000960.521 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544000960.521 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (+ (* 0 1) (* 0 0))) into 0 1544000960.522 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 (+ (log n) (log (* 2 PI)))) (* 0 0))) into 0 1544000960.523 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))) 1544000960.523 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544000960.524 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544000960.525 * [misc]backup-simplify: Simplify (+ (* 0 (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) (+ (* +nan.0 (* -1 (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))))) (* +nan.0 1))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (+ +nan.0 (- (* +nan.0 (log n))))))) 1544000960.526 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (log (* 2 PI))) (- (+ +nan.0 (- (* +nan.0 (log n))))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (log n)) (- +nan.0))))) 1544000960.526 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544000960.526 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1544000960.526 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544000960.528 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544000960.529 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1544000960.533 * [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 1544000960.534 * [misc]backup-simplify: Simplify (- 0) into 0 1544000960.534 * [misc]backup-simplify: Simplify (- 0) into 0 1544000960.534 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1544000960.534 * [misc]backup-simplify: Simplify (- 0) into 0 1544000960.535 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544000960.535 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1544000960.537 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1544000960.538 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 1544000960.538 * [misc]taylor: Taking taylor expansion of 0 in k 1544000960.538 * [misc]backup-simplify: Simplify 0 into 0 1544000960.538 * [misc]backup-simplify: Simplify 0 into 0 1544000960.538 * [misc]backup-simplify: Simplify 0 into 0 1544000960.540 * [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 1544000960.541 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544000960.545 * [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 1544000960.545 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544000960.546 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1544000960.546 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 (+ (log n) (log (* 2 PI)))) (* 0 0)))) into 0 1544000960.548 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 3) 6)) (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 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)))))) 1544000960.549 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000960.549 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544000960.553 * [misc]backup-simplify: Simplify (+ (* 0 (* -1 (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (pow (log n) 2) (log (* 2 PI)))) (+ (* 1/16 (* (log n) (pow (log (* 2 PI)) 2))) (* 1/48 (pow (log (* 2 PI)) 3))))))) (+ (* +nan.0 (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) (+ (* +nan.0 (* -1 (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))))) (* +nan.0 1)))) into (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (+ +nan.0 (- (* +nan.0 (log n))))))))))))) 1544000960.555 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (+ +nan.0 (- (* +nan.0 (log n))))))))))))) into (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ +nan.0 (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (pow (log (* 2 PI)) 2))))))))))))) 1544000960.558 * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ +nan.0 (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (pow (log (* 2 PI)) 2))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (log n)) (- +nan.0))))) (* k 1)) (- +nan.0))) into (- (+ (* +nan.0 (* (log (* 2 PI)) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) k)) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (log n) k)) (- (+ (* +nan.0 (* (log n) (pow k 2))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (* (pow (log n) 2) (pow k 2))) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))))))))))))))))) 1544000960.559 * [misc]backup-simplify: Simplify (/ (/ (pow (* PI (* (/ 1 n) 2)) (- (/ (/ 1 k) 2))) (sqrt (sqrt (/ 1 k)))) (sqrt (sqrt (/ 1 k)))) into (* (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) (sqrt k)) 1544000960.559 * [misc]approximate: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) (sqrt k)) in (n k) around 0 1544000960.559 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) (sqrt k)) in k 1544000960.559 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) in k 1544000960.559 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1544000960.559 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1544000960.559 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in k 1544000960.559 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544000960.559 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544000960.559 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000960.559 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544000960.559 * [misc]taylor: Taking taylor expansion of k in k 1544000960.559 * [misc]backup-simplify: Simplify 0 into 0 1544000960.559 * [misc]backup-simplify: Simplify 1 into 1 1544000960.559 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544000960.559 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1544000960.559 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1544000960.559 * [misc]taylor: Taking taylor expansion of 2 in k 1544000960.559 * [misc]backup-simplify: Simplify 2 into 2 1544000960.559 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544000960.559 * [misc]taylor: Taking taylor expansion of PI in k 1544000960.559 * [misc]backup-simplify: Simplify PI into PI 1544000960.559 * [misc]taylor: Taking taylor expansion of n in k 1544000960.559 * [misc]backup-simplify: Simplify n into n 1544000960.559 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544000960.560 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1544000960.560 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1544000960.560 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544000960.560 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544000960.560 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1544000960.560 * [misc]backup-simplify: Simplify (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) 1544000960.560 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1544000960.560 * [misc]taylor: Taking taylor expansion of k in k 1544000960.560 * [misc]backup-simplify: Simplify 0 into 0 1544000960.560 * [misc]backup-simplify: Simplify 1 into 1 1544000960.561 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544000960.561 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544000960.561 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) (sqrt k)) in n 1544000960.561 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) in n 1544000960.561 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1544000960.561 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1544000960.561 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in n 1544000960.561 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544000960.561 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544000960.561 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000960.561 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544000960.561 * [misc]taylor: Taking taylor expansion of k in n 1544000960.562 * [misc]backup-simplify: Simplify k into k 1544000960.562 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544000960.562 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544000960.562 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544000960.562 * [misc]taylor: Taking taylor expansion of 2 in n 1544000960.562 * [misc]backup-simplify: Simplify 2 into 2 1544000960.562 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544000960.562 * [misc]taylor: Taking taylor expansion of PI in n 1544000960.562 * [misc]backup-simplify: Simplify PI into PI 1544000960.562 * [misc]taylor: Taking taylor expansion of n in n 1544000960.562 * [misc]backup-simplify: Simplify 0 into 0 1544000960.562 * [misc]backup-simplify: Simplify 1 into 1 1544000960.562 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544000960.562 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544000960.563 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544000960.563 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544000960.563 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544000960.564 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544000960.564 * [misc]backup-simplify: Simplify (* (- (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1544000960.565 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1544000960.565 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1544000960.565 * [misc]taylor: Taking taylor expansion of k in n 1544000960.565 * [misc]backup-simplify: Simplify k into k 1544000960.565 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1544000960.565 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1544000960.565 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) (sqrt k)) in n 1544000960.565 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) in n 1544000960.565 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1544000960.565 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1544000960.565 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in n 1544000960.565 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544000960.565 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544000960.565 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000960.565 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544000960.565 * [misc]taylor: Taking taylor expansion of k in n 1544000960.565 * [misc]backup-simplify: Simplify k into k 1544000960.566 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544000960.566 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544000960.566 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544000960.566 * [misc]taylor: Taking taylor expansion of 2 in n 1544000960.566 * [misc]backup-simplify: Simplify 2 into 2 1544000960.566 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544000960.566 * [misc]taylor: Taking taylor expansion of PI in n 1544000960.566 * [misc]backup-simplify: Simplify PI into PI 1544000960.566 * [misc]taylor: Taking taylor expansion of n in n 1544000960.566 * [misc]backup-simplify: Simplify 0 into 0 1544000960.566 * [misc]backup-simplify: Simplify 1 into 1 1544000960.566 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544000960.566 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544000960.567 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544000960.567 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544000960.567 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544000960.568 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544000960.568 * [misc]backup-simplify: Simplify (* (- (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1544000960.569 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1544000960.569 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1544000960.569 * [misc]taylor: Taking taylor expansion of k in n 1544000960.569 * [misc]backup-simplify: Simplify k into k 1544000960.569 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1544000960.569 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1544000960.570 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt k)) into (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt k)) 1544000960.570 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt k)) in k 1544000960.570 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1544000960.570 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1544000960.570 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544000960.570 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544000960.570 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1544000960.570 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1544000960.570 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544000960.570 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544000960.570 * [misc]taylor: Taking taylor expansion of 2 in k 1544000960.570 * [misc]backup-simplify: Simplify 2 into 2 1544000960.570 * [misc]taylor: Taking taylor expansion of PI in k 1544000960.570 * [misc]backup-simplify: Simplify PI into PI 1544000960.570 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544000960.571 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544000960.571 * [misc]taylor: Taking taylor expansion of (log n) in k 1544000960.571 * [misc]taylor: Taking taylor expansion of n in k 1544000960.571 * [misc]backup-simplify: Simplify n into n 1544000960.571 * [misc]backup-simplify: Simplify (log n) into (log n) 1544000960.571 * [misc]taylor: Taking taylor expansion of k in k 1544000960.571 * [misc]backup-simplify: Simplify 0 into 0 1544000960.571 * [misc]backup-simplify: Simplify 1 into 1 1544000960.571 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544000960.572 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1544000960.572 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1544000960.573 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1544000960.573 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1544000960.573 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1544000960.573 * [misc]taylor: Taking taylor expansion of k in k 1544000960.574 * [misc]backup-simplify: Simplify 0 into 0 1544000960.574 * [misc]backup-simplify: Simplify 1 into 1 1544000960.574 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544000960.574 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544000960.575 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) into 0 1544000960.575 * [misc]backup-simplify: Simplify 0 into 0 1544000960.575 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544000960.576 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544000960.577 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544000960.579 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544000960.579 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544000960.580 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544000960.580 * [misc]backup-simplify: Simplify (- 0) into 0 1544000960.581 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544000960.581 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1544000960.583 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1544000960.583 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (* 0 (sqrt k))) into 0 1544000960.583 * [misc]taylor: Taking taylor expansion of 0 in k 1544000960.583 * [misc]backup-simplify: Simplify 0 into 0 1544000960.583 * [misc]backup-simplify: Simplify 0 into 0 1544000960.584 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))))) 1544000960.584 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))))) into (- (* +nan.0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))))) 1544000960.585 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1544000960.585 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544000960.586 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000960.587 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544000960.590 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 1544000960.590 * [misc]backup-simplify: Simplify (- 0) into 0 1544000960.590 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544000960.590 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544000960.590 * [misc]backup-simplify: Simplify (- 0) into 0 1544000960.591 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544000960.592 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1544000960.593 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544000960.594 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 1544000960.594 * [misc]taylor: Taking taylor expansion of 0 in k 1544000960.594 * [misc]backup-simplify: Simplify 0 into 0 1544000960.594 * [misc]backup-simplify: Simplify 0 into 0 1544000960.594 * [misc]backup-simplify: Simplify 0 into 0 1544000960.595 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544000960.595 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))))) 1544000960.595 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))))) into (- (* +nan.0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))))) 1544000960.596 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1544000960.596 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544000960.597 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000960.598 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544000960.602 * [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 1544000960.602 * [misc]backup-simplify: Simplify (- 0) into 0 1544000960.602 * [misc]backup-simplify: Simplify (- 0) into 0 1544000960.603 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544000960.603 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1544000960.603 * [misc]backup-simplify: Simplify (- 0) into 0 1544000960.603 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544000960.604 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1544000960.606 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1544000960.607 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 1544000960.607 * [misc]taylor: Taking taylor expansion of 0 in k 1544000960.607 * [misc]backup-simplify: Simplify 0 into 0 1544000960.607 * [misc]backup-simplify: Simplify 0 into 0 1544000960.607 * [misc]backup-simplify: Simplify 0 into 0 1544000960.607 * [misc]backup-simplify: Simplify 0 into 0 1544000960.607 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544000960.608 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))))) 1544000960.608 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))))) into (- (* +nan.0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))))) 1544000960.610 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k)))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k)))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k)))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) k)) (- (+ (* +nan.0 (/ (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (pow k 3))) (- (* +nan.0 (/ (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (pow k 2)))))))) 1544000960.610 * [misc]backup-simplify: Simplify (/ (/ (pow (* PI (* (/ 1 (- n)) 2)) (- (/ (/ 1 (- k)) 2))) (sqrt (sqrt (/ 1 (- k))))) (sqrt (sqrt (/ 1 (- k))))) into (/ (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) (sqrt (/ -1 k))) 1544000960.610 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) (sqrt (/ -1 k))) in (n k) around 0 1544000960.610 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) (sqrt (/ -1 k))) in k 1544000960.610 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) in k 1544000960.610 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) in k 1544000960.610 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n)))) in k 1544000960.610 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544000960.610 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544000960.610 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000960.610 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544000960.610 * [misc]taylor: Taking taylor expansion of k in k 1544000960.610 * [misc]backup-simplify: Simplify 0 into 0 1544000960.610 * [misc]backup-simplify: Simplify 1 into 1 1544000960.610 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544000960.610 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1544000960.611 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1544000960.611 * [misc]taylor: Taking taylor expansion of -2 in k 1544000960.611 * [misc]backup-simplify: Simplify -2 into -2 1544000960.611 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544000960.611 * [misc]taylor: Taking taylor expansion of PI in k 1544000960.611 * [misc]backup-simplify: Simplify PI into PI 1544000960.611 * [misc]taylor: Taking taylor expansion of n in k 1544000960.611 * [misc]backup-simplify: Simplify n into n 1544000960.611 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544000960.611 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1544000960.611 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1544000960.611 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544000960.611 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1544000960.611 * [misc]backup-simplify: Simplify (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))) 1544000960.611 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544000960.611 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544000960.611 * [misc]taylor: Taking taylor expansion of -1 in k 1544000960.611 * [misc]backup-simplify: Simplify -1 into -1 1544000960.611 * [misc]taylor: Taking taylor expansion of k in k 1544000960.611 * [misc]backup-simplify: Simplify 0 into 0 1544000960.611 * [misc]backup-simplify: Simplify 1 into 1 1544000960.611 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544000960.611 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544000960.612 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544000960.612 * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))) +nan.0) into (* +nan.0 (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))) 1544000960.612 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) (sqrt (/ -1 k))) in n 1544000960.612 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) in n 1544000960.612 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) in n 1544000960.612 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n)))) in n 1544000960.612 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544000960.612 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544000960.612 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000960.612 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544000960.612 * [misc]taylor: Taking taylor expansion of k in n 1544000960.613 * [misc]backup-simplify: Simplify k into k 1544000960.613 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544000960.613 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544000960.613 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544000960.613 * [misc]taylor: Taking taylor expansion of -2 in n 1544000960.613 * [misc]backup-simplify: Simplify -2 into -2 1544000960.613 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544000960.613 * [misc]taylor: Taking taylor expansion of PI in n 1544000960.613 * [misc]backup-simplify: Simplify PI into PI 1544000960.613 * [misc]taylor: Taking taylor expansion of n in n 1544000960.613 * [misc]backup-simplify: Simplify 0 into 0 1544000960.613 * [misc]backup-simplify: Simplify 1 into 1 1544000960.613 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544000960.613 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544000960.614 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544000960.614 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544000960.615 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544000960.615 * [misc]backup-simplify: Simplify (* (/ 1/2 k) (- (log (* -2 PI)) (log n))) into (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) 1544000960.616 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1544000960.616 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1544000960.616 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544000960.616 * [misc]taylor: Taking taylor expansion of -1 in n 1544000960.616 * [misc]backup-simplify: Simplify -1 into -1 1544000960.616 * [misc]taylor: Taking taylor expansion of k in n 1544000960.616 * [misc]backup-simplify: Simplify k into k 1544000960.616 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544000960.616 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1544000960.616 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544000960.616 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1544000960.617 * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))) 1544000960.617 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) (sqrt (/ -1 k))) in n 1544000960.617 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) in n 1544000960.617 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) in n 1544000960.617 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n)))) in n 1544000960.617 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544000960.617 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544000960.617 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000960.617 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544000960.617 * [misc]taylor: Taking taylor expansion of k in n 1544000960.617 * [misc]backup-simplify: Simplify k into k 1544000960.617 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544000960.617 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544000960.617 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544000960.617 * [misc]taylor: Taking taylor expansion of -2 in n 1544000960.617 * [misc]backup-simplify: Simplify -2 into -2 1544000960.617 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544000960.617 * [misc]taylor: Taking taylor expansion of PI in n 1544000960.617 * [misc]backup-simplify: Simplify PI into PI 1544000960.617 * [misc]taylor: Taking taylor expansion of n in n 1544000960.617 * [misc]backup-simplify: Simplify 0 into 0 1544000960.617 * [misc]backup-simplify: Simplify 1 into 1 1544000960.618 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544000960.618 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544000960.618 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544000960.619 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544000960.619 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544000960.620 * [misc]backup-simplify: Simplify (* (/ 1/2 k) (- (log (* -2 PI)) (log n))) into (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) 1544000960.620 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1544000960.620 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1544000960.620 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544000960.620 * [misc]taylor: Taking taylor expansion of -1 in n 1544000960.620 * [misc]backup-simplify: Simplify -1 into -1 1544000960.620 * [misc]taylor: Taking taylor expansion of k in n 1544000960.620 * [misc]backup-simplify: Simplify k into k 1544000960.621 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544000960.621 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1544000960.621 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544000960.621 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1544000960.621 * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))) 1544000960.622 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 1544000960.622 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k 1544000960.622 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k 1544000960.622 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544000960.622 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544000960.622 * [misc]taylor: Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k 1544000960.622 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1544000960.622 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1544000960.622 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1544000960.622 * [misc]taylor: Taking taylor expansion of -2 in k 1544000960.622 * [misc]backup-simplify: Simplify -2 into -2 1544000960.622 * [misc]taylor: Taking taylor expansion of PI in k 1544000960.622 * [misc]backup-simplify: Simplify PI into PI 1544000960.622 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544000960.623 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544000960.623 * [misc]taylor: Taking taylor expansion of (log n) in k 1544000960.623 * [misc]taylor: Taking taylor expansion of n in k 1544000960.623 * [misc]backup-simplify: Simplify n into n 1544000960.623 * [misc]backup-simplify: Simplify (log n) into (log n) 1544000960.623 * [misc]taylor: Taking taylor expansion of k in k 1544000960.623 * [misc]backup-simplify: Simplify 0 into 0 1544000960.623 * [misc]backup-simplify: Simplify 1 into 1 1544000960.623 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544000960.623 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1544000960.624 * [misc]backup-simplify: Simplify (/ (- (log (* -2 PI)) (log n)) 1) into (- (log (* -2 PI)) (log n)) 1544000960.625 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1544000960.625 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1544000960.625 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544000960.625 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544000960.625 * [misc]taylor: Taking taylor expansion of -1 in k 1544000960.625 * [misc]backup-simplify: Simplify -1 into -1 1544000960.625 * [misc]taylor: Taking taylor expansion of k in k 1544000960.625 * [misc]backup-simplify: Simplify 0 into 0 1544000960.625 * [misc]backup-simplify: Simplify 1 into 1 1544000960.625 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544000960.626 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544000960.626 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544000960.627 * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) +nan.0) into (* +nan.0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) 1544000960.627 * [misc]backup-simplify: Simplify (* +nan.0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) into (* +nan.0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) 1544000960.629 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544000960.629 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1544000960.632 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1544000960.632 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544000960.632 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544000960.633 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544000960.634 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1544000960.635 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1544000960.636 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0 1544000960.636 * [misc]taylor: Taking taylor expansion of 0 in k 1544000960.636 * [misc]backup-simplify: Simplify 0 into 0 1544000960.636 * [misc]backup-simplify: Simplify 0 into 0 1544000960.636 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1544000960.638 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544000960.639 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1544000960.639 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into (- (* +nan.0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1544000960.641 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000960.642 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1544000960.645 * [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 1544000960.645 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544000960.646 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544000960.646 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544000960.646 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1544000960.648 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544000960.649 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544000960.649 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1544000960.650 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0 1544000960.650 * [misc]taylor: Taking taylor expansion of 0 in k 1544000960.650 * [misc]backup-simplify: Simplify 0 into 0 1544000960.650 * [misc]backup-simplify: Simplify 0 into 0 1544000960.650 * [misc]backup-simplify: Simplify 0 into 0 1544000960.650 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544000960.651 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544000960.652 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1544000960.652 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into (- (* +nan.0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1544000960.654 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k)))))))) into (- (+ (* +nan.0 (/ (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) k)) (- (+ (* +nan.0 (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k)))) (- (* +nan.0 (/ (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) (pow k 2)))))))) 1544000960.654 * * * [misc]progress: simplifying candidates 1544000960.654 * * * * [misc]progress: [ 1 / 443 ] simplifiying candidate # 1544000960.654 * * * * [misc]progress: [ 2 / 443 ] simplifiying candidate # 1544000960.654 * * * * [misc]progress: [ 3 / 443 ] simplifiying candidate # 1544000960.654 * * * * [misc]progress: [ 4 / 443 ] simplifiying candidate # 1544000960.654 * * * * [misc]progress: [ 5 / 443 ] simplifiying candidate # 1544000960.654 * * * * [misc]progress: [ 6 / 443 ] simplifiying candidate # 1544000960.655 * * * * [misc]progress: [ 7 / 443 ] simplifiying candidate # 1544000960.655 * * * * [misc]progress: [ 8 / 443 ] simplifiying candidate # 1544000960.655 * * * * [misc]progress: [ 9 / 443 ] simplifiying candidate # 1544000960.655 * * * * [misc]progress: [ 10 / 443 ] simplifiying candidate # 1544000960.655 * * * * [misc]progress: [ 11 / 443 ] simplifiying candidate # 1544000960.655 * * * * [misc]progress: [ 12 / 443 ] simplifiying candidate # 1544000960.655 * * * * [misc]progress: [ 13 / 443 ] simplifiying candidate # 1544000960.655 * * * * [misc]progress: [ 14 / 443 ] simplifiying candidate # 1544000960.655 * * * * [misc]progress: [ 15 / 443 ] simplifiying candidate # 1544000960.655 * * * * [misc]progress: [ 16 / 443 ] simplifiying candidate # 1544000960.655 * * * * [misc]progress: [ 17 / 443 ] simplifiying candidate # 1544000960.655 * * * * [misc]progress: [ 18 / 443 ] simplifiying candidate # 1544000960.655 * * * * [misc]progress: [ 19 / 443 ] simplifiying candidate # 1544000960.655 * [enter]simplify: Simplifying (* (sqrt (* (* PI 2) n)) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1544000960.655 * * [misc]simplify: iters left: 6 (17 enodes) 1544000960.659 * * [misc]simplify: iters left: 5 (31 enodes) 1544000960.667 * * [misc]simplify: iters left: 4 (44 enodes) 1544000960.677 * * [misc]simplify: iters left: 3 (52 enodes) 1544000960.682 * * [misc]simplify: iters left: 2 (59 enodes) 1544000960.689 * * [misc]simplify: iters left: 1 (68 enodes) 1544000960.698 * [exit]simplify: Simplified to (* (/ (pow (* (* PI 2) n) (- (/ k 2))) (sqrt k)) (sqrt (* (* PI 2) n))) 1544000960.698 * [misc]simplify: Simplified (2 1) to (λ (k n) (pow (* (/ (pow (* (* PI 2) n) (- (/ k 2))) (sqrt k)) (sqrt (* (* PI 2) n))) 1)) 1544000960.698 * * * * [misc]progress: [ 20 / 443 ] simplifiying candidate # 1544000960.698 * * * * [misc]progress: [ 21 / 443 ] simplifiying candidate # 1544000960.698 * [enter]simplify: Simplifying (+ (log (sqrt (* (* PI 2) n))) (- (- (* (log (* PI (* n 2))) (- (/ k 2))) (log (sqrt (sqrt k)))) (log (sqrt (sqrt k))))) 1544000960.699 * * [misc]simplify: iters left: 6 (20 enodes) 1544000960.702 * * [misc]simplify: iters left: 5 (43 enodes) 1544000960.714 * * [misc]simplify: iters left: 4 (90 enodes) 1544000960.751 * * [misc]simplify: iters left: 3 (227 enodes) 1544000960.852 * [exit]simplify: Simplified to (- (log (sqrt (* (* n PI) 2))) (+ (* (/ k 2) (log (* (* n PI) 2))) (+ (log (sqrt (sqrt k))) (log (sqrt (sqrt k)))))) 1544000960.852 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (log (sqrt (* (* n PI) 2))) (+ (* (/ k 2) (log (* (* n PI) 2))) (+ (log (sqrt (sqrt k))) (log (sqrt (sqrt k)))))))) 1544000960.852 * * * * [misc]progress: [ 22 / 443 ] simplifiying candidate # 1544000960.853 * [enter]simplify: Simplifying (+ (log (sqrt (* (* PI 2) n))) (- (- (* (log (* PI (* n 2))) (- (/ k 2))) (log (sqrt (sqrt k)))) (log (sqrt (sqrt k))))) 1544000960.853 * * [misc]simplify: iters left: 6 (20 enodes) 1544000960.856 * * [misc]simplify: iters left: 5 (43 enodes) 1544000960.863 * * [misc]simplify: iters left: 4 (90 enodes) 1544000960.895 * * [misc]simplify: iters left: 3 (227 enodes) 1544000961.001 * [exit]simplify: Simplified to (- (log (sqrt (* (* n PI) 2))) (+ (* (/ k 2) (log (* (* n PI) 2))) (+ (log (sqrt (sqrt k))) (log (sqrt (sqrt k)))))) 1544000961.001 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (log (sqrt (* (* n PI) 2))) (+ (* (/ k 2) (log (* (* n PI) 2))) (+ (log (sqrt (sqrt k))) (log (sqrt (sqrt k)))))))) 1544000961.001 * * * * [misc]progress: [ 23 / 443 ] simplifiying candidate # 1544000961.002 * [enter]simplify: Simplifying (+ (log (sqrt (* (* PI 2) n))) (- (- (log (pow (* PI (* n 2)) (- (/ k 2)))) (log (sqrt (sqrt k)))) (log (sqrt (sqrt k))))) 1544000961.002 * * [misc]simplify: iters left: 6 (20 enodes) 1544000961.012 * * [misc]simplify: iters left: 5 (39 enodes) 1544000961.025 * * [misc]simplify: iters left: 4 (79 enodes) 1544000961.041 * * [misc]simplify: iters left: 3 (199 enodes) 1544000961.147 * [exit]simplify: Simplified to (- (- (log (sqrt (* 2 (* n PI)))) (log (sqrt (sqrt k)))) (+ (log (sqrt (sqrt k))) (* (log (* 2 (* n PI))) (/ k 2)))) 1544000961.147 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (- (log (sqrt (* 2 (* n PI)))) (log (sqrt (sqrt k)))) (+ (log (sqrt (sqrt k))) (* (log (* 2 (* n PI))) (/ k 2)))))) 1544000961.147 * * * * [misc]progress: [ 24 / 443 ] simplifiying candidate # 1544000961.147 * [enter]simplify: Simplifying (+ (log (sqrt (* (* PI 2) n))) (- (log (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (log (sqrt (sqrt k))))) 1544000961.148 * * [misc]simplify: iters left: 6 (20 enodes) 1544000961.154 * * [misc]simplify: iters left: 5 (36 enodes) 1544000961.165 * * [misc]simplify: iters left: 4 (56 enodes) 1544000961.181 * * [misc]simplify: iters left: 3 (103 enodes) 1544000961.200 * * [misc]simplify: iters left: 2 (296 enodes) 1544000961.595 * [exit]simplify: Simplified to (- (log (sqrt (* (* n PI) 2))) (+ (+ (log (sqrt (sqrt k))) (log (sqrt (sqrt k)))) (* (log (* (* n PI) 2)) (/ k 2)))) 1544000961.595 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (log (sqrt (* (* n PI) 2))) (+ (+ (log (sqrt (sqrt k))) (log (sqrt (sqrt k)))) (* (log (* (* n PI) 2)) (/ k 2)))))) 1544000961.595 * * * * [misc]progress: [ 25 / 443 ] simplifiying candidate # 1544000961.596 * [enter]simplify: Simplifying (+ (log (sqrt (* (* PI 2) n))) (log (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))) 1544000961.596 * * [misc]simplify: iters left: 6 (19 enodes) 1544000961.602 * * [misc]simplify: iters left: 5 (34 enodes) 1544000961.611 * * [misc]simplify: iters left: 4 (46 enodes) 1544000961.624 * * [misc]simplify: iters left: 3 (69 enodes) 1544000961.641 * * [misc]simplify: iters left: 2 (130 enodes) 1544000961.666 * * [misc]simplify: iters left: 1 (392 enodes) 1544000961.998 * [exit]simplify: Simplified to (- (log (sqrt (* (* PI 2) n))) (+ (* (/ k 2) (log (* n 2))) (+ (* (/ k 2) (log PI)) (log (sqrt k))))) 1544000961.998 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (log (sqrt (* (* PI 2) n))) (+ (* (/ k 2) (log (* n 2))) (+ (* (/ k 2) (log PI)) (log (sqrt k))))))) 1544000961.998 * * * * [misc]progress: [ 26 / 443 ] simplifiying candidate # 1544000961.998 * * * * [misc]progress: [ 27 / 443 ] simplifiying candidate # 1544000961.998 * * * * [misc]progress: [ 28 / 443 ] simplifiying candidate # 1544000961.999 * [enter]simplify: Simplifying (* (* (* (sqrt (* (* PI 2) n)) (sqrt (* (* PI 2) n))) (sqrt (* (* PI 2) n))) (/ (/ (* (* (pow (* PI (* n 2)) (- (/ k 2))) (pow (* PI (* n 2)) (- (/ k 2)))) (pow (* PI (* n 2)) (- (/ k 2)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k))))) 1544000961.999 * * [misc]simplify: iters left: 6 (23 enodes) 1544000962.008 * * [misc]simplify: iters left: 5 (52 enodes) 1544000962.029 * * [misc]simplify: iters left: 4 (195 enodes) 1544000962.240 * [exit]simplify: Simplified to (* (* (/ (pow (* PI (* n 2)) (/ (- k) 2)) (sqrt k)) (/ (pow (* PI (* n 2)) (/ (- k) 2)) (sqrt k))) (* (/ (pow (* PI (* n 2)) (/ (- k) 2)) (sqrt k)) (* (* PI (* n 2)) (sqrt (* PI (* n 2)))))) 1544000962.240 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (* (/ (pow (* PI (* n 2)) (/ (- k) 2)) (sqrt k)) (/ (pow (* PI (* n 2)) (/ (- k) 2)) (sqrt k))) (* (/ (pow (* PI (* n 2)) (/ (- k) 2)) (sqrt k)) (* (* PI (* n 2)) (sqrt (* PI (* n 2)))))))) 1544000962.240 * * * * [misc]progress: [ 29 / 443 ] simplifiying candidate # 1544000962.240 * [enter]simplify: Simplifying (* (* (* (sqrt (* (* PI 2) n)) (sqrt (* (* PI 2) n))) (sqrt (* (* PI 2) n))) (/ (* (* (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k))))) 1544000962.240 * * [misc]simplify: iters left: 6 (23 enodes) 1544000962.245 * * [misc]simplify: iters left: 5 (54 enodes) 1544000962.256 * * [misc]simplify: iters left: 4 (196 enodes) 1544000962.429 * [exit]simplify: Simplified to (* (* (* (* PI (* n 2)) (sqrt (* PI (* n 2)))) (/ (pow (* PI (* n 2)) (/ (- k) 2)) (sqrt k))) (* (/ (pow (* PI (* n 2)) (/ (- k) 2)) (sqrt k)) (/ (pow (* PI (* n 2)) (/ (- k) 2)) (sqrt k)))) 1544000962.429 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (* (* (* PI (* n 2)) (sqrt (* PI (* n 2)))) (/ (pow (* PI (* n 2)) (/ (- k) 2)) (sqrt k))) (* (/ (pow (* PI (* n 2)) (/ (- k) 2)) (sqrt k)) (/ (pow (* PI (* n 2)) (/ (- k) 2)) (sqrt k)))))) 1544000962.429 * * * * [misc]progress: [ 30 / 443 ] simplifiying candidate # 1544000962.429 * [enter]simplify: Simplifying (* (* (* (sqrt (* (* PI 2) n)) (sqrt (* (* PI 2) n))) (sqrt (* (* PI 2) n))) (* (* (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))) 1544000962.430 * * [misc]simplify: iters left: 6 (21 enodes) 1544000962.438 * * [misc]simplify: iters left: 5 (46 enodes) 1544000962.456 * * [misc]simplify: iters left: 4 (150 enodes) 1544000962.546 * [exit]simplify: Simplified to (* (* (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) (* (* PI (* n 2)) (sqrt (* PI (* n 2))))) (* (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1544000962.546 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (* (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) (* (* PI (* n 2)) (sqrt (* PI (* n 2))))) (* (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))))) 1544000962.546 * * * * [misc]progress: [ 31 / 443 ] simplifiying candidate # 1544000962.546 * * * * [misc]progress: [ 32 / 443 ] simplifiying candidate # 1544000962.546 * * * * [misc]progress: [ 33 / 443 ] simplifiying candidate # 1544000962.546 * * * * [misc]progress: [ 34 / 443 ] simplifiying candidate # 1544000962.546 * * * * [misc]progress: [ 35 / 443 ] simplifiying candidate # 1544000962.546 * [enter]simplify: Simplifying (cbrt (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1544000962.546 * * [misc]simplify: iters left: 6 (14 enodes) 1544000962.549 * * [misc]simplify: iters left: 5 (22 enodes) 1544000962.552 * * [misc]simplify: iters left: 4 (28 enodes) 1544000962.555 * * [misc]simplify: iters left: 3 (30 enodes) 1544000962.559 * [exit]simplify: Simplified to (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k))) 1544000962.559 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (* (cbrt (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) (cbrt (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))) (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k))))) 1544000962.559 * * * * [misc]progress: [ 36 / 443 ] simplifiying candidate # 1544000962.559 * [enter]simplify: Simplifying (sqrt (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1544000962.559 * * [misc]simplify: iters left: 6 (14 enodes) 1544000962.561 * * [misc]simplify: iters left: 5 (22 enodes) 1544000962.565 * * [misc]simplify: iters left: 4 (28 enodes) 1544000962.572 * * [misc]simplify: iters left: 3 (30 enodes) 1544000962.575 * [exit]simplify: Simplified to (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k))) 1544000962.575 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (sqrt (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))) (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k))))) 1544000962.575 * * * * [misc]progress: [ 37 / 443 ] simplifiying candidate # 1544000962.576 * [enter]simplify: Simplifying (/ (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544000962.576 * * [misc]simplify: iters left: 6 (15 enodes) 1544000962.578 * * [misc]simplify: iters left: 5 (21 enodes) 1544000962.581 * * [misc]simplify: iters left: 4 (27 enodes) 1544000962.584 * * [misc]simplify: iters left: 3 (29 enodes) 1544000962.588 * [exit]simplify: Simplified to (/ (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544000962.588 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (* (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 1544000962.588 * * * * [misc]progress: [ 38 / 443 ] simplifiying candidate # 1544000962.588 * [enter]simplify: Simplifying (/ (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544000962.588 * * [misc]simplify: iters left: 6 (16 enodes) 1544000962.590 * * [misc]simplify: iters left: 5 (22 enodes) 1544000962.593 * * [misc]simplify: iters left: 4 (28 enodes) 1544000962.597 * * [misc]simplify: iters left: 3 (29 enodes) 1544000962.604 * [exit]simplify: Simplified to (/ (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544000962.604 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (* (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 1544000962.604 * * * * [misc]progress: [ 39 / 443 ] simplifiying candidate # 1544000962.604 * [enter]simplify: Simplifying (/ (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000962.604 * * [misc]simplify: iters left: 6 (15 enodes) 1544000962.609 * * [misc]simplify: iters left: 5 (21 enodes) 1544000962.614 * * [misc]simplify: iters left: 4 (27 enodes) 1544000962.621 * * [misc]simplify: iters left: 3 (29 enodes) 1544000962.629 * [exit]simplify: Simplified to (/ (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000962.629 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (* (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k))))) (/ (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544000962.629 * * * * [misc]progress: [ 40 / 443 ] simplifiying candidate # 1544000962.629 * [enter]simplify: Simplifying (/ (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000962.630 * * [misc]simplify: iters left: 6 (14 enodes) 1544000962.634 * * [misc]simplify: iters left: 5 (20 enodes) 1544000962.639 * * [misc]simplify: iters left: 4 (26 enodes) 1544000962.645 * * [misc]simplify: iters left: 3 (28 enodes) 1544000962.648 * [exit]simplify: Simplified to (/ (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000962.648 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (* (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))))) (sqrt 1))) (/ (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544000962.648 * * * * [misc]progress: [ 41 / 443 ] simplifiying candidate # 1544000962.648 * [enter]simplify: Simplifying (/ (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000962.648 * * [misc]simplify: iters left: 6 (15 enodes) 1544000962.651 * * [misc]simplify: iters left: 5 (21 enodes) 1544000962.653 * * [misc]simplify: iters left: 4 (27 enodes) 1544000962.657 * * [misc]simplify: iters left: 3 (29 enodes) 1544000962.660 * [exit]simplify: Simplified to (/ (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000962.660 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (* (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k))))) (/ (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544000962.660 * * * * [misc]progress: [ 42 / 443 ] simplifiying candidate # 1544000962.661 * [enter]simplify: Simplifying (/ (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000962.661 * * [misc]simplify: iters left: 6 (14 enodes) 1544000962.663 * * [misc]simplify: iters left: 5 (20 enodes) 1544000962.665 * * [misc]simplify: iters left: 4 (26 enodes) 1544000962.669 * * [misc]simplify: iters left: 3 (28 enodes) 1544000962.672 * [exit]simplify: Simplified to (/ (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000962.672 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (* (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))))) 1)) (/ (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544000962.672 * * * * [misc]progress: [ 43 / 443 ] simplifiying candidate # 1544000962.672 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544000962.672 * * [misc]simplify: iters left: 6 (15 enodes) 1544000962.674 * * [misc]simplify: iters left: 5 (21 enodes) 1544000962.679 * * [misc]simplify: iters left: 4 (27 enodes) 1544000962.687 * * [misc]simplify: iters left: 3 (29 enodes) 1544000962.695 * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544000962.695 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 1544000962.695 * * * * [misc]progress: [ 44 / 443 ] simplifiying candidate # 1544000962.695 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544000962.695 * * [misc]simplify: iters left: 6 (16 enodes) 1544000962.700 * * [misc]simplify: iters left: 5 (22 enodes) 1544000962.706 * * [misc]simplify: iters left: 4 (28 enodes) 1544000962.711 * * [misc]simplify: iters left: 3 (29 enodes) 1544000962.714 * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544000962.714 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 1544000962.714 * * * * [misc]progress: [ 45 / 443 ] simplifiying candidate # 1544000962.714 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000962.715 * * [misc]simplify: iters left: 6 (15 enodes) 1544000962.717 * * [misc]simplify: iters left: 5 (21 enodes) 1544000962.719 * * [misc]simplify: iters left: 4 (27 enodes) 1544000962.723 * * [misc]simplify: iters left: 3 (29 enodes) 1544000962.726 * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000962.726 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))) (/ (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544000962.726 * * * * [misc]progress: [ 46 / 443 ] simplifiying candidate # 1544000962.727 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000962.727 * * [misc]simplify: iters left: 6 (14 enodes) 1544000962.729 * * [misc]simplify: iters left: 5 (20 enodes) 1544000962.732 * * [misc]simplify: iters left: 4 (26 enodes) 1544000962.738 * * [misc]simplify: iters left: 3 (28 enodes) 1544000962.746 * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000962.746 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt 1))) (/ (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544000962.746 * * * * [misc]progress: [ 47 / 443 ] simplifiying candidate # 1544000962.747 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000962.747 * * [misc]simplify: iters left: 6 (15 enodes) 1544000962.751 * * [misc]simplify: iters left: 5 (21 enodes) 1544000962.757 * * [misc]simplify: iters left: 4 (27 enodes) 1544000962.764 * * [misc]simplify: iters left: 3 (29 enodes) 1544000962.771 * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000962.772 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))) (/ (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544000962.772 * * * * [misc]progress: [ 48 / 443 ] simplifiying candidate # 1544000962.772 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000962.772 * * [misc]simplify: iters left: 6 (14 enodes) 1544000962.776 * * [misc]simplify: iters left: 5 (20 enodes) 1544000962.782 * * [misc]simplify: iters left: 4 (26 enodes) 1544000962.789 * * [misc]simplify: iters left: 3 (28 enodes) 1544000962.796 * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000962.797 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) 1)) (/ (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544000962.797 * * * * [misc]progress: [ 49 / 443 ] simplifiying candidate # 1544000962.797 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544000962.797 * * [misc]simplify: iters left: 6 (12 enodes) 1544000962.801 * * [misc]simplify: iters left: 5 (17 enodes) 1544000962.806 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544000962.807 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 1544000962.807 * * * * [misc]progress: [ 50 / 443 ] simplifiying candidate # 1544000962.808 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544000962.808 * * [misc]simplify: iters left: 6 (14 enodes) 1544000962.812 * * [misc]simplify: iters left: 5 (19 enodes) 1544000962.817 * * [misc]simplify: iters left: 4 (22 enodes) 1544000962.824 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) 1544000962.824 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 1544000962.824 * * * * [misc]progress: [ 51 / 443 ] simplifiying candidate # 1544000962.824 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000962.824 * * [misc]simplify: iters left: 6 (13 enodes) 1544000962.828 * * [misc]simplify: iters left: 5 (18 enodes) 1544000962.833 * * [misc]simplify: iters left: 4 (21 enodes) 1544000962.840 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000962.840 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k))))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 1544000962.840 * * * * [misc]progress: [ 52 / 443 ] simplifiying candidate # 1544000962.840 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000962.840 * * [misc]simplify: iters left: 6 (12 enodes) 1544000962.844 * * [misc]simplify: iters left: 5 (17 enodes) 1544000962.848 * * [misc]simplify: iters left: 4 (20 enodes) 1544000962.854 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000962.854 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt 1))) (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544000962.854 * * * * [misc]progress: [ 53 / 443 ] simplifiying candidate # 1544000962.854 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000962.854 * * [misc]simplify: iters left: 6 (13 enodes) 1544000962.858 * * [misc]simplify: iters left: 5 (18 enodes) 1544000962.863 * * [misc]simplify: iters left: 4 (21 enodes) 1544000962.869 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000962.869 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k))))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 1544000962.869 * * * * [misc]progress: [ 54 / 443 ] simplifiying candidate # 1544000962.870 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000962.870 * * [misc]simplify: iters left: 6 (12 enodes) 1544000962.873 * * [misc]simplify: iters left: 5 (17 enodes) 1544000962.878 * * [misc]simplify: iters left: 4 (20 enodes) 1544000962.883 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000962.884 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1)) (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544000962.884 * * * * [misc]progress: [ 55 / 443 ] simplifiying candidate # 1544000962.884 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544000962.884 * * [misc]simplify: iters left: 6 (14 enodes) 1544000962.888 * * [misc]simplify: iters left: 5 (19 enodes) 1544000962.893 * * [misc]simplify: iters left: 4 (22 enodes) 1544000962.899 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000962.899 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (- (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 1544000962.899 * * * * [misc]progress: [ 56 / 443 ] simplifiying candidate # 1544000962.900 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544000962.900 * * [misc]simplify: iters left: 6 (12 enodes) 1544000962.903 * * [misc]simplify: iters left: 5 (17 enodes) 1544000962.908 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) 1544000962.908 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (- (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))))) 1544000962.908 * * * * [misc]progress: [ 57 / 443 ] simplifiying candidate # 1544000962.909 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000962.909 * * [misc]simplify: iters left: 6 (14 enodes) 1544000962.913 * * [misc]simplify: iters left: 5 (19 enodes) 1544000962.918 * * [misc]simplify: iters left: 4 (22 enodes) 1544000962.924 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544000962.924 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (- (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k))))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544000962.924 * * * * [misc]progress: [ 58 / 443 ] simplifiying candidate # 1544000962.925 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 1544000962.925 * * [misc]simplify: iters left: 6 (13 enodes) 1544000962.928 * * [misc]simplify: iters left: 5 (18 enodes) 1544000962.933 * * [misc]simplify: iters left: 4 (21 enodes) 1544000962.939 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt k)) (sqrt (cbrt (sqrt k))))) 1544000962.939 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (- (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt 1))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt k)) (sqrt (cbrt (sqrt k))))))) 1544000962.939 * * * * [misc]progress: [ 59 / 443 ] simplifiying candidate # 1544000962.940 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000962.940 * * [misc]simplify: iters left: 6 (14 enodes) 1544000962.944 * * [misc]simplify: iters left: 5 (19 enodes) 1544000962.949 * * [misc]simplify: iters left: 4 (22 enodes) 1544000962.955 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544000962.955 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (- (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k))))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544000962.955 * * * * [misc]progress: [ 60 / 443 ] simplifiying candidate # 1544000962.956 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 1544000962.956 * * [misc]simplify: iters left: 6 (13 enodes) 1544000962.960 * * [misc]simplify: iters left: 5 (18 enodes) 1544000962.965 * * [misc]simplify: iters left: 4 (21 enodes) 1544000962.971 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt k)) (sqrt (cbrt (sqrt k))))) 1544000962.971 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (- (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1)) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt k)) (sqrt (cbrt (sqrt k))))))) 1544000962.971 * * * * [misc]progress: [ 61 / 443 ] simplifiying candidate # 1544000962.972 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544000962.972 * * [misc]simplify: iters left: 6 (13 enodes) 1544000962.976 * * [misc]simplify: iters left: 5 (18 enodes) 1544000962.981 * * [misc]simplify: iters left: 4 (21 enodes) 1544000962.987 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544000962.987 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544000962.987 * * * * [misc]progress: [ 62 / 443 ] simplifiying candidate # 1544000962.987 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544000962.987 * * [misc]simplify: iters left: 6 (14 enodes) 1544000962.992 * * [misc]simplify: iters left: 5 (19 enodes) 1544000962.997 * * [misc]simplify: iters left: 4 (22 enodes) 1544000963.003 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) 1544000963.003 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 1544000963.003 * * * * [misc]progress: [ 63 / 443 ] simplifiying candidate # 1544000963.004 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000963.004 * * [misc]simplify: iters left: 6 (12 enodes) 1544000963.007 * * [misc]simplify: iters left: 5 (17 enodes) 1544000963.012 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) 1544000963.012 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))) (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))))) 1544000963.013 * * * * [misc]progress: [ 64 / 443 ] simplifiying candidate # 1544000963.013 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000963.013 * * [misc]simplify: iters left: 6 (12 enodes) 1544000963.017 * * [misc]simplify: iters left: 5 (17 enodes) 1544000963.022 * * [misc]simplify: iters left: 4 (20 enodes) 1544000963.027 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000963.027 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt 1))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544000963.027 * * * * [misc]progress: [ 65 / 443 ] simplifiying candidate # 1544000963.028 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000963.028 * * [misc]simplify: iters left: 6 (12 enodes) 1544000963.032 * * [misc]simplify: iters left: 5 (17 enodes) 1544000963.037 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) 1544000963.037 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))) (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))))) 1544000963.037 * * * * [misc]progress: [ 66 / 443 ] simplifiying candidate # 1544000963.037 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000963.037 * * [misc]simplify: iters left: 6 (12 enodes) 1544000963.041 * * [misc]simplify: iters left: 5 (17 enodes) 1544000963.046 * * [misc]simplify: iters left: 4 (20 enodes) 1544000963.051 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000963.051 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (- (/ k 2))) (sqrt (sqrt (sqrt k)))) 1)) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544000963.052 * * * * [misc]progress: [ 67 / 443 ] simplifiying candidate # 1544000963.052 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544000963.052 * * [misc]simplify: iters left: 6 (12 enodes) 1544000963.056 * * [misc]simplify: iters left: 5 (17 enodes) 1544000963.060 * * [misc]simplify: iters left: 4 (20 enodes) 1544000963.066 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544000963.066 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (- (/ k 2))) (sqrt 1)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1544000963.066 * * * * [misc]progress: [ 68 / 443 ] simplifiying candidate # 1544000963.067 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544000963.067 * * [misc]simplify: iters left: 6 (13 enodes) 1544000963.071 * * [misc]simplify: iters left: 5 (18 enodes) 1544000963.076 * * [misc]simplify: iters left: 4 (21 enodes) 1544000963.079 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544000963.079 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (- (/ k 2))) (sqrt 1)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 1544000963.079 * * * * [misc]progress: [ 69 / 443 ] simplifiying candidate # 1544000963.079 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544000963.079 * * [misc]simplify: iters left: 6 (12 enodes) 1544000963.081 * * [misc]simplify: iters left: 5 (17 enodes) 1544000963.083 * * [misc]simplify: iters left: 4 (20 enodes) 1544000963.085 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544000963.086 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (- (/ k 2))) (sqrt 1)) (sqrt (sqrt (sqrt k))))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 1544000963.086 * * * * [misc]progress: [ 70 / 443 ] simplifiying candidate # 1544000963.086 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544000963.086 * * [misc]simplify: iters left: 6 (11 enodes) 1544000963.087 * * [misc]simplify: iters left: 5 (16 enodes) 1544000963.090 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1544000963.090 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (- (/ k 2))) (sqrt 1)) (sqrt 1))) (/ (pow (* n 2) (- (/ k 2))) (sqrt k)))) 1544000963.090 * * * * [misc]progress: [ 71 / 443 ] simplifiying candidate # 1544000963.090 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544000963.090 * * [misc]simplify: iters left: 6 (12 enodes) 1544000963.092 * * [misc]simplify: iters left: 5 (17 enodes) 1544000963.094 * * [misc]simplify: iters left: 4 (20 enodes) 1544000963.096 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544000963.096 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (- (/ k 2))) (sqrt 1)) (sqrt (sqrt (sqrt k))))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 1544000963.096 * * * * [misc]progress: [ 72 / 443 ] simplifiying candidate # 1544000963.097 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544000963.097 * * [misc]simplify: iters left: 6 (11 enodes) 1544000963.098 * * [misc]simplify: iters left: 5 (16 enodes) 1544000963.101 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1544000963.101 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (- (/ k 2))) (sqrt 1)) 1)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k)))) 1544000963.101 * * * * [misc]progress: [ 73 / 443 ] simplifiying candidate # 1544000963.101 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544000963.101 * * [misc]simplify: iters left: 6 (13 enodes) 1544000963.103 * * [misc]simplify: iters left: 5 (18 enodes) 1544000963.107 * * [misc]simplify: iters left: 4 (21 enodes) 1544000963.113 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544000963.114 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544000963.114 * * * * [misc]progress: [ 74 / 443 ] simplifiying candidate # 1544000963.114 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544000963.114 * * [misc]simplify: iters left: 6 (14 enodes) 1544000963.118 * * [misc]simplify: iters left: 5 (19 enodes) 1544000963.123 * * [misc]simplify: iters left: 4 (22 enodes) 1544000963.129 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) 1544000963.129 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 1544000963.130 * * * * [misc]progress: [ 75 / 443 ] simplifiying candidate # 1544000963.130 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000963.130 * * [misc]simplify: iters left: 6 (12 enodes) 1544000963.133 * * [misc]simplify: iters left: 5 (17 enodes) 1544000963.138 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) 1544000963.138 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))) (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))))) 1544000963.138 * * * * [misc]progress: [ 76 / 443 ] simplifiying candidate # 1544000963.139 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000963.139 * * [misc]simplify: iters left: 6 (12 enodes) 1544000963.142 * * [misc]simplify: iters left: 5 (17 enodes) 1544000963.147 * * [misc]simplify: iters left: 4 (20 enodes) 1544000963.152 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000963.152 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt 1))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544000963.152 * * * * [misc]progress: [ 77 / 443 ] simplifiying candidate # 1544000963.153 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000963.153 * * [misc]simplify: iters left: 6 (12 enodes) 1544000963.156 * * [misc]simplify: iters left: 5 (17 enodes) 1544000963.161 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) 1544000963.161 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))) (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))))) 1544000963.161 * * * * [misc]progress: [ 78 / 443 ] simplifiying candidate # 1544000963.161 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000963.162 * * [misc]simplify: iters left: 6 (12 enodes) 1544000963.165 * * [misc]simplify: iters left: 5 (17 enodes) 1544000963.169 * * [misc]simplify: iters left: 4 (20 enodes) 1544000963.175 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000963.175 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (- (/ k 2))) (sqrt (sqrt (sqrt k)))) 1)) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544000963.175 * * * * [misc]progress: [ 79 / 443 ] simplifiying candidate # 1544000963.176 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544000963.176 * * [misc]simplify: iters left: 6 (12 enodes) 1544000963.179 * * [misc]simplify: iters left: 5 (17 enodes) 1544000963.184 * * [misc]simplify: iters left: 4 (20 enodes) 1544000963.190 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544000963.190 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (- (/ k 2))) 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1544000963.190 * * * * [misc]progress: [ 80 / 443 ] simplifiying candidate # 1544000963.190 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544000963.190 * * [misc]simplify: iters left: 6 (13 enodes) 1544000963.194 * * [misc]simplify: iters left: 5 (18 enodes) 1544000963.199 * * [misc]simplify: iters left: 4 (21 enodes) 1544000963.205 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544000963.205 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (- (/ k 2))) 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 1544000963.205 * * * * [misc]progress: [ 81 / 443 ] simplifiying candidate # 1544000963.205 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544000963.205 * * [misc]simplify: iters left: 6 (12 enodes) 1544000963.209 * * [misc]simplify: iters left: 5 (17 enodes) 1544000963.213 * * [misc]simplify: iters left: 4 (20 enodes) 1544000963.219 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544000963.219 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (- (/ k 2))) 1) (sqrt (sqrt (sqrt k))))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 1544000963.219 * * * * [misc]progress: [ 82 / 443 ] simplifiying candidate # 1544000963.219 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544000963.219 * * [misc]simplify: iters left: 6 (11 enodes) 1544000963.222 * * [misc]simplify: iters left: 5 (16 enodes) 1544000963.227 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1544000963.227 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (- (/ k 2))) 1) (sqrt 1))) (/ (pow (* n 2) (- (/ k 2))) (sqrt k)))) 1544000963.227 * * * * [misc]progress: [ 83 / 443 ] simplifiying candidate # 1544000963.228 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544000963.228 * * [misc]simplify: iters left: 6 (12 enodes) 1544000963.232 * * [misc]simplify: iters left: 5 (17 enodes) 1544000963.236 * * [misc]simplify: iters left: 4 (20 enodes) 1544000963.242 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544000963.242 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (- (/ k 2))) 1) (sqrt (sqrt (sqrt k))))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 1544000963.242 * * * * [misc]progress: [ 84 / 443 ] simplifiying candidate # 1544000963.242 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544000963.242 * * [misc]simplify: iters left: 6 (11 enodes) 1544000963.246 * * [misc]simplify: iters left: 5 (16 enodes) 1544000963.251 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1544000963.251 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (- (/ k 2))) 1) 1)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k)))) 1544000963.251 * * * * [misc]progress: [ 85 / 443 ] simplifiying candidate # 1544000963.251 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544000963.251 * * [misc]simplify: iters left: 6 (15 enodes) 1544000963.256 * * [misc]simplify: iters left: 5 (23 enodes) 1544000963.263 * * [misc]simplify: iters left: 4 (29 enodes) 1544000963.271 * * [misc]simplify: iters left: 3 (30 enodes) 1544000963.279 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000963.279 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 1544000963.279 * * * * [misc]progress: [ 86 / 443 ] simplifiying candidate # 1544000963.279 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544000963.279 * * [misc]simplify: iters left: 6 (17 enodes) 1544000963.285 * * [misc]simplify: iters left: 5 (25 enodes) 1544000963.292 * * [misc]simplify: iters left: 4 (34 enodes) 1544000963.301 * * [misc]simplify: iters left: 3 (36 enodes) 1544000963.310 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000963.310 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 1544000963.310 * * * * [misc]progress: [ 87 / 443 ] simplifiying candidate # 1544000963.310 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000963.311 * * [misc]simplify: iters left: 6 (16 enodes) 1544000963.315 * * [misc]simplify: iters left: 5 (24 enodes) 1544000963.322 * * [misc]simplify: iters left: 4 (33 enodes) 1544000963.331 * * [misc]simplify: iters left: 3 (35 enodes) 1544000963.341 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544000963.341 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544000963.341 * * * * [misc]progress: [ 88 / 443 ] simplifiying candidate # 1544000963.341 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000963.342 * * [misc]simplify: iters left: 6 (15 enodes) 1544000963.346 * * [misc]simplify: iters left: 5 (23 enodes) 1544000963.354 * * [misc]simplify: iters left: 4 (32 enodes) 1544000963.362 * * [misc]simplify: iters left: 3 (33 enodes) 1544000963.371 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) 1544000963.371 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt 1))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))))) 1544000963.371 * * * * [misc]progress: [ 89 / 443 ] simplifiying candidate # 1544000963.371 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000963.371 * * [misc]simplify: iters left: 6 (16 enodes) 1544000963.376 * * [misc]simplify: iters left: 5 (24 enodes) 1544000963.379 * * [misc]simplify: iters left: 4 (33 enodes) 1544000963.383 * * [misc]simplify: iters left: 3 (35 enodes) 1544000963.387 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544000963.387 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544000963.387 * * * * [misc]progress: [ 90 / 443 ] simplifiying candidate # 1544000963.388 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000963.388 * * [misc]simplify: iters left: 6 (15 enodes) 1544000963.390 * * [misc]simplify: iters left: 5 (23 enodes) 1544000963.393 * * [misc]simplify: iters left: 4 (32 enodes) 1544000963.398 * * [misc]simplify: iters left: 3 (33 enodes) 1544000963.402 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) 1544000963.402 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1)) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))))) 1544000963.402 * * * * [misc]progress: [ 91 / 443 ] simplifiying candidate # 1544000963.402 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544000963.402 * * [misc]simplify: iters left: 6 (17 enodes) 1544000963.405 * * [misc]simplify: iters left: 5 (25 enodes) 1544000963.408 * * [misc]simplify: iters left: 4 (34 enodes) 1544000963.413 * * [misc]simplify: iters left: 3 (36 enodes) 1544000963.423 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) 1544000963.423 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 1544000963.423 * * * * [misc]progress: [ 92 / 443 ] simplifiying candidate # 1544000963.423 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544000963.423 * * [misc]simplify: iters left: 6 (15 enodes) 1544000963.428 * * [misc]simplify: iters left: 5 (23 enodes) 1544000963.434 * * [misc]simplify: iters left: 4 (29 enodes) 1544000963.442 * * [misc]simplify: iters left: 3 (31 enodes) 1544000963.450 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt k))) 1544000963.450 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt k))))) 1544000963.450 * * * * [misc]progress: [ 93 / 443 ] simplifiying candidate # 1544000963.450 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000963.451 * * [misc]simplify: iters left: 6 (17 enodes) 1544000963.456 * * [misc]simplify: iters left: 5 (25 enodes) 1544000963.463 * * [misc]simplify: iters left: 4 (34 enodes) 1544000963.471 * * [misc]simplify: iters left: 3 (36 enodes) 1544000963.476 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) 1544000963.476 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 1544000963.476 * * * * [misc]progress: [ 94 / 443 ] simplifiying candidate # 1544000963.476 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 1544000963.476 * * [misc]simplify: iters left: 6 (16 enodes) 1544000963.478 * * [misc]simplify: iters left: 5 (24 enodes) 1544000963.482 * * [misc]simplify: iters left: 4 (33 enodes) 1544000963.486 * * [misc]simplify: iters left: 3 (35 enodes) 1544000963.490 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))) 1544000963.490 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt 1))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))))) 1544000963.490 * * * * [misc]progress: [ 95 / 443 ] simplifiying candidate # 1544000963.490 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000963.490 * * [misc]simplify: iters left: 6 (17 enodes) 1544000963.493 * * [misc]simplify: iters left: 5 (25 enodes) 1544000963.496 * * [misc]simplify: iters left: 4 (34 enodes) 1544000963.503 * * [misc]simplify: iters left: 3 (36 enodes) 1544000963.511 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) 1544000963.511 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 1544000963.511 * * * * [misc]progress: [ 96 / 443 ] simplifiying candidate # 1544000963.511 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 1544000963.511 * * [misc]simplify: iters left: 6 (16 enodes) 1544000963.516 * * [misc]simplify: iters left: 5 (24 enodes) 1544000963.522 * * [misc]simplify: iters left: 4 (33 enodes) 1544000963.530 * * [misc]simplify: iters left: 3 (35 enodes) 1544000963.540 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))) 1544000963.540 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1)) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))))) 1544000963.540 * * * * [misc]progress: [ 97 / 443 ] simplifiying candidate # 1544000963.541 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544000963.541 * * [misc]simplify: iters left: 6 (16 enodes) 1544000963.546 * * [misc]simplify: iters left: 5 (24 enodes) 1544000963.553 * * [misc]simplify: iters left: 4 (33 enodes) 1544000963.561 * * [misc]simplify: iters left: 3 (35 enodes) 1544000963.565 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000963.565 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 1544000963.565 * * * * [misc]progress: [ 98 / 443 ] simplifiying candidate # 1544000963.565 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544000963.565 * * [misc]simplify: iters left: 6 (17 enodes) 1544000963.568 * * [misc]simplify: iters left: 5 (25 enodes) 1544000963.571 * * [misc]simplify: iters left: 4 (34 enodes) 1544000963.575 * * [misc]simplify: iters left: 3 (36 enodes) 1544000963.580 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544000963.580 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544000963.580 * * * * [misc]progress: [ 99 / 443 ] simplifiying candidate # 1544000963.580 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000963.580 * * [misc]simplify: iters left: 6 (15 enodes) 1544000963.582 * * [misc]simplify: iters left: 5 (23 enodes) 1544000963.585 * * [misc]simplify: iters left: 4 (29 enodes) 1544000963.591 * * [misc]simplify: iters left: 3 (31 enodes) 1544000963.598 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) 1544000963.598 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))))) 1544000963.598 * * * * [misc]progress: [ 100 / 443 ] simplifiying candidate # 1544000963.599 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000963.599 * * [misc]simplify: iters left: 6 (15 enodes) 1544000963.603 * * [misc]simplify: iters left: 5 (23 enodes) 1544000963.610 * * [misc]simplify: iters left: 4 (32 enodes) 1544000963.619 * * [misc]simplify: iters left: 3 (33 enodes) 1544000963.627 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544000963.627 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) (sqrt 1))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 1544000963.627 * * * * [misc]progress: [ 101 / 443 ] simplifiying candidate # 1544000963.627 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000963.628 * * [misc]simplify: iters left: 6 (15 enodes) 1544000963.632 * * [misc]simplify: iters left: 5 (23 enodes) 1544000963.638 * * [misc]simplify: iters left: 4 (29 enodes) 1544000963.646 * * [misc]simplify: iters left: 3 (31 enodes) 1544000963.653 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) 1544000963.653 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))))) 1544000963.654 * * * * [misc]progress: [ 102 / 443 ] simplifiying candidate # 1544000963.654 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000963.654 * * [misc]simplify: iters left: 6 (15 enodes) 1544000963.658 * * [misc]simplify: iters left: 5 (23 enodes) 1544000963.665 * * [misc]simplify: iters left: 4 (32 enodes) 1544000963.673 * * [misc]simplify: iters left: 3 (33 enodes) 1544000963.681 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544000963.681 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) 1)) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 1544000963.681 * * * * [misc]progress: [ 103 / 443 ] simplifiying candidate # 1544000963.682 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544000963.682 * * [misc]simplify: iters left: 6 (15 enodes) 1544000963.685 * * [misc]simplify: iters left: 5 (23 enodes) 1544000963.688 * * [misc]simplify: iters left: 4 (32 enodes) 1544000963.692 * * [misc]simplify: iters left: 3 (33 enodes) 1544000963.696 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) 1544000963.696 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt 1)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))))) 1544000963.696 * * * * [misc]progress: [ 104 / 443 ] simplifiying candidate # 1544000963.696 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544000963.696 * * [misc]simplify: iters left: 6 (16 enodes) 1544000963.698 * * [misc]simplify: iters left: 5 (24 enodes) 1544000963.702 * * [misc]simplify: iters left: 4 (33 enodes) 1544000963.706 * * [misc]simplify: iters left: 3 (35 enodes) 1544000963.710 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))) 1544000963.710 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt 1)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))))) 1544000963.710 * * * * [misc]progress: [ 105 / 443 ] simplifiying candidate # 1544000963.710 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544000963.711 * * [misc]simplify: iters left: 6 (15 enodes) 1544000963.714 * * [misc]simplify: iters left: 5 (23 enodes) 1544000963.721 * * [misc]simplify: iters left: 4 (32 enodes) 1544000963.730 * * [misc]simplify: iters left: 3 (33 enodes) 1544000963.738 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544000963.738 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt 1)) (sqrt (sqrt (sqrt k))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 1544000963.738 * * * * [misc]progress: [ 106 / 443 ] simplifiying candidate # 1544000963.739 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544000963.739 * * [misc]simplify: iters left: 6 (14 enodes) 1544000963.743 * * [misc]simplify: iters left: 5 (22 enodes) 1544000963.749 * * [misc]simplify: iters left: 4 (28 enodes) 1544000963.752 * * [misc]simplify: iters left: 3 (30 enodes) 1544000963.756 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k)) 1544000963.756 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt 1)) (sqrt 1))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k)))) 1544000963.756 * * * * [misc]progress: [ 107 / 443 ] simplifiying candidate # 1544000963.757 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544000963.757 * * [misc]simplify: iters left: 6 (15 enodes) 1544000963.759 * * [misc]simplify: iters left: 5 (23 enodes) 1544000963.762 * * [misc]simplify: iters left: 4 (32 enodes) 1544000963.768 * * [misc]simplify: iters left: 3 (33 enodes) 1544000963.772 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544000963.772 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt 1)) (sqrt (sqrt (sqrt k))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 1544000963.772 * * * * [misc]progress: [ 108 / 443 ] simplifiying candidate # 1544000963.773 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544000963.773 * * [misc]simplify: iters left: 6 (14 enodes) 1544000963.775 * * [misc]simplify: iters left: 5 (22 enodes) 1544000963.781 * * [misc]simplify: iters left: 4 (28 enodes) 1544000963.788 * * [misc]simplify: iters left: 3 (30 enodes) 1544000963.796 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k)) 1544000963.796 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt 1)) 1)) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k)))) 1544000963.796 * * * * [misc]progress: [ 109 / 443 ] simplifiying candidate # 1544000963.796 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544000963.796 * * [misc]simplify: iters left: 6 (16 enodes) 1544000963.801 * * [misc]simplify: iters left: 5 (24 enodes) 1544000963.807 * * [misc]simplify: iters left: 4 (33 enodes) 1544000963.812 * * [misc]simplify: iters left: 3 (35 enodes) 1544000963.816 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000963.816 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 1544000963.816 * * * * [misc]progress: [ 110 / 443 ] simplifiying candidate # 1544000963.816 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544000963.816 * * [misc]simplify: iters left: 6 (17 enodes) 1544000963.819 * * [misc]simplify: iters left: 5 (25 enodes) 1544000963.822 * * [misc]simplify: iters left: 4 (34 enodes) 1544000963.826 * * [misc]simplify: iters left: 3 (36 enodes) 1544000963.832 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544000963.832 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544000963.832 * * * * [misc]progress: [ 111 / 443 ] simplifiying candidate # 1544000963.832 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000963.832 * * [misc]simplify: iters left: 6 (15 enodes) 1544000963.834 * * [misc]simplify: iters left: 5 (23 enodes) 1544000963.837 * * [misc]simplify: iters left: 4 (29 enodes) 1544000963.841 * * [misc]simplify: iters left: 3 (31 enodes) 1544000963.845 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) 1544000963.845 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))))) 1544000963.845 * * * * [misc]progress: [ 112 / 443 ] simplifiying candidate # 1544000963.845 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000963.845 * * [misc]simplify: iters left: 6 (15 enodes) 1544000963.847 * * [misc]simplify: iters left: 5 (23 enodes) 1544000963.850 * * [misc]simplify: iters left: 4 (32 enodes) 1544000963.854 * * [misc]simplify: iters left: 3 (33 enodes) 1544000963.858 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544000963.858 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) (sqrt 1))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 1544000963.858 * * * * [misc]progress: [ 113 / 443 ] simplifiying candidate # 1544000963.858 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000963.858 * * [misc]simplify: iters left: 6 (15 enodes) 1544000963.862 * * [misc]simplify: iters left: 5 (23 enodes) 1544000963.868 * * [misc]simplify: iters left: 4 (29 enodes) 1544000963.876 * * [misc]simplify: iters left: 3 (31 enodes) 1544000963.884 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) 1544000963.884 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))))) 1544000963.884 * * * * [misc]progress: [ 114 / 443 ] simplifiying candidate # 1544000963.884 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000963.885 * * [misc]simplify: iters left: 6 (15 enodes) 1544000963.888 * * [misc]simplify: iters left: 5 (23 enodes) 1544000963.891 * * [misc]simplify: iters left: 4 (32 enodes) 1544000963.895 * * [misc]simplify: iters left: 3 (33 enodes) 1544000963.899 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544000963.899 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) 1)) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 1544000963.899 * * * * [misc]progress: [ 115 / 443 ] simplifiying candidate # 1544000963.900 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544000963.900 * * [misc]simplify: iters left: 6 (15 enodes) 1544000963.902 * * [misc]simplify: iters left: 5 (23 enodes) 1544000963.905 * * [misc]simplify: iters left: 4 (32 enodes) 1544000963.909 * * [misc]simplify: iters left: 3 (33 enodes) 1544000963.913 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) 1544000963.913 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))))) 1544000963.913 * * * * [misc]progress: [ 116 / 443 ] simplifiying candidate # 1544000963.914 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544000963.914 * * [misc]simplify: iters left: 6 (16 enodes) 1544000963.916 * * [misc]simplify: iters left: 5 (24 enodes) 1544000963.920 * * [misc]simplify: iters left: 4 (33 enodes) 1544000963.925 * * [misc]simplify: iters left: 3 (35 enodes) 1544000963.935 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))) 1544000963.935 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))))) 1544000963.936 * * * * [misc]progress: [ 117 / 443 ] simplifiying candidate # 1544000963.936 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544000963.936 * * [misc]simplify: iters left: 6 (15 enodes) 1544000963.941 * * [misc]simplify: iters left: 5 (23 enodes) 1544000963.947 * * [misc]simplify: iters left: 4 (32 enodes) 1544000963.953 * * [misc]simplify: iters left: 3 (33 enodes) 1544000963.957 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544000963.957 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) 1) (sqrt (sqrt (sqrt k))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 1544000963.958 * * * * [misc]progress: [ 118 / 443 ] simplifiying candidate # 1544000963.958 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544000963.958 * * [misc]simplify: iters left: 6 (14 enodes) 1544000963.960 * * [misc]simplify: iters left: 5 (22 enodes) 1544000963.963 * * [misc]simplify: iters left: 4 (28 enodes) 1544000963.966 * * [misc]simplify: iters left: 3 (30 enodes) 1544000963.970 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k)) 1544000963.970 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) 1) (sqrt 1))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k)))) 1544000963.970 * * * * [misc]progress: [ 119 / 443 ] simplifiying candidate # 1544000963.970 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544000963.970 * * [misc]simplify: iters left: 6 (15 enodes) 1544000963.972 * * [misc]simplify: iters left: 5 (23 enodes) 1544000963.976 * * [misc]simplify: iters left: 4 (32 enodes) 1544000963.980 * * [misc]simplify: iters left: 3 (33 enodes) 1544000963.984 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544000963.984 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) 1) (sqrt (sqrt (sqrt k))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 1544000963.984 * * * * [misc]progress: [ 120 / 443 ] simplifiying candidate # 1544000963.984 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544000963.984 * * [misc]simplify: iters left: 6 (14 enodes) 1544000963.986 * * [misc]simplify: iters left: 5 (22 enodes) 1544000963.989 * * [misc]simplify: iters left: 4 (28 enodes) 1544000963.992 * * [misc]simplify: iters left: 3 (30 enodes) 1544000963.996 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k)) 1544000963.996 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) 1) 1)) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k)))) 1544000963.996 * * * * [misc]progress: [ 121 / 443 ] simplifiying candidate # 1544000963.996 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544000963.996 * * [misc]simplify: iters left: 6 (15 enodes) 1544000963.998 * * [misc]simplify: iters left: 5 (23 enodes) 1544000964.001 * * [misc]simplify: iters left: 4 (29 enodes) 1544000964.006 * * [misc]simplify: iters left: 3 (30 enodes) 1544000964.009 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000964.009 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 1544000964.009 * * * * [misc]progress: [ 122 / 443 ] simplifiying candidate # 1544000964.010 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544000964.010 * * [misc]simplify: iters left: 6 (17 enodes) 1544000964.013 * * [misc]simplify: iters left: 5 (25 enodes) 1544000964.020 * * [misc]simplify: iters left: 4 (34 enodes) 1544000964.029 * * [misc]simplify: iters left: 3 (36 enodes) 1544000964.038 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000964.038 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 1544000964.038 * * * * [misc]progress: [ 123 / 443 ] simplifiying candidate # 1544000964.039 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000964.039 * * [misc]simplify: iters left: 6 (16 enodes) 1544000964.044 * * [misc]simplify: iters left: 5 (24 enodes) 1544000964.050 * * [misc]simplify: iters left: 4 (33 enodes) 1544000964.059 * * [misc]simplify: iters left: 3 (35 enodes) 1544000964.063 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544000964.063 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k))))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544000964.063 * * * * [misc]progress: [ 124 / 443 ] simplifiying candidate # 1544000964.064 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000964.064 * * [misc]simplify: iters left: 6 (15 enodes) 1544000964.066 * * [misc]simplify: iters left: 5 (23 enodes) 1544000964.069 * * [misc]simplify: iters left: 4 (32 enodes) 1544000964.073 * * [misc]simplify: iters left: 3 (33 enodes) 1544000964.077 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) 1544000964.077 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt 1))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))))) 1544000964.077 * * * * [misc]progress: [ 125 / 443 ] simplifiying candidate # 1544000964.077 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000964.077 * * [misc]simplify: iters left: 6 (16 enodes) 1544000964.080 * * [misc]simplify: iters left: 5 (24 enodes) 1544000964.083 * * [misc]simplify: iters left: 4 (33 enodes) 1544000964.087 * * [misc]simplify: iters left: 3 (35 enodes) 1544000964.092 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544000964.092 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k))))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544000964.092 * * * * [misc]progress: [ 126 / 443 ] simplifiying candidate # 1544000964.092 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000964.093 * * [misc]simplify: iters left: 6 (15 enodes) 1544000964.098 * * [misc]simplify: iters left: 5 (23 enodes) 1544000964.104 * * [misc]simplify: iters left: 4 (32 enodes) 1544000964.113 * * [misc]simplify: iters left: 3 (33 enodes) 1544000964.123 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) 1544000964.123 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1)) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))))) 1544000964.123 * * * * [misc]progress: [ 127 / 443 ] simplifiying candidate # 1544000964.123 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544000964.124 * * [misc]simplify: iters left: 6 (17 enodes) 1544000964.129 * * [misc]simplify: iters left: 5 (25 enodes) 1544000964.136 * * [misc]simplify: iters left: 4 (34 enodes) 1544000964.144 * * [misc]simplify: iters left: 3 (36 enodes) 1544000964.154 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) 1544000964.154 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 1544000964.154 * * * * [misc]progress: [ 128 / 443 ] simplifiying candidate # 1544000964.155 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544000964.155 * * [misc]simplify: iters left: 6 (15 enodes) 1544000964.159 * * [misc]simplify: iters left: 5 (23 enodes) 1544000964.166 * * [misc]simplify: iters left: 4 (29 enodes) 1544000964.173 * * [misc]simplify: iters left: 3 (31 enodes) 1544000964.182 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt k))) 1544000964.182 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt k))))) 1544000964.182 * * * * [misc]progress: [ 129 / 443 ] simplifiying candidate # 1544000964.182 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000964.182 * * [misc]simplify: iters left: 6 (17 enodes) 1544000964.187 * * [misc]simplify: iters left: 5 (25 enodes) 1544000964.194 * * [misc]simplify: iters left: 4 (34 enodes) 1544000964.203 * * [misc]simplify: iters left: 3 (36 enodes) 1544000964.212 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) 1544000964.213 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k))))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 1544000964.213 * * * * [misc]progress: [ 130 / 443 ] simplifiying candidate # 1544000964.213 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 1544000964.213 * * [misc]simplify: iters left: 6 (16 enodes) 1544000964.217 * * [misc]simplify: iters left: 5 (24 enodes) 1544000964.223 * * [misc]simplify: iters left: 4 (33 enodes) 1544000964.232 * * [misc]simplify: iters left: 3 (35 enodes) 1544000964.241 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))) 1544000964.241 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt 1))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))))) 1544000964.241 * * * * [misc]progress: [ 131 / 443 ] simplifiying candidate # 1544000964.241 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000964.242 * * [misc]simplify: iters left: 6 (17 enodes) 1544000964.247 * * [misc]simplify: iters left: 5 (25 enodes) 1544000964.254 * * [misc]simplify: iters left: 4 (34 enodes) 1544000964.262 * * [misc]simplify: iters left: 3 (36 enodes) 1544000964.271 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) 1544000964.271 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k))))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 1544000964.271 * * * * [misc]progress: [ 132 / 443 ] simplifiying candidate # 1544000964.272 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 1544000964.272 * * [misc]simplify: iters left: 6 (16 enodes) 1544000964.276 * * [misc]simplify: iters left: 5 (24 enodes) 1544000964.282 * * [misc]simplify: iters left: 4 (33 enodes) 1544000964.290 * * [misc]simplify: iters left: 3 (35 enodes) 1544000964.298 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))) 1544000964.298 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1)) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))))) 1544000964.299 * * * * [misc]progress: [ 133 / 443 ] simplifiying candidate # 1544000964.299 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544000964.299 * * [misc]simplify: iters left: 6 (16 enodes) 1544000964.304 * * [misc]simplify: iters left: 5 (24 enodes) 1544000964.311 * * [misc]simplify: iters left: 4 (33 enodes) 1544000964.319 * * [misc]simplify: iters left: 3 (35 enodes) 1544000964.328 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000964.328 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 1544000964.328 * * * * [misc]progress: [ 134 / 443 ] simplifiying candidate # 1544000964.329 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544000964.329 * * [misc]simplify: iters left: 6 (17 enodes) 1544000964.334 * * [misc]simplify: iters left: 5 (25 enodes) 1544000964.341 * * [misc]simplify: iters left: 4 (34 enodes) 1544000964.349 * * [misc]simplify: iters left: 3 (36 enodes) 1544000964.358 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544000964.358 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544000964.358 * * * * [misc]progress: [ 135 / 443 ] simplifiying candidate # 1544000964.358 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000964.358 * * [misc]simplify: iters left: 6 (15 enodes) 1544000964.362 * * [misc]simplify: iters left: 5 (23 enodes) 1544000964.369 * * [misc]simplify: iters left: 4 (29 enodes) 1544000964.377 * * [misc]simplify: iters left: 3 (31 enodes) 1544000964.384 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) 1544000964.384 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))))) 1544000964.384 * * * * [misc]progress: [ 136 / 443 ] simplifiying candidate # 1544000964.384 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000964.385 * * [misc]simplify: iters left: 6 (15 enodes) 1544000964.389 * * [misc]simplify: iters left: 5 (23 enodes) 1544000964.396 * * [misc]simplify: iters left: 4 (32 enodes) 1544000964.404 * * [misc]simplify: iters left: 3 (33 enodes) 1544000964.409 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544000964.409 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt 1))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 1544000964.409 * * * * [misc]progress: [ 137 / 443 ] simplifiying candidate # 1544000964.409 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000964.409 * * [misc]simplify: iters left: 6 (15 enodes) 1544000964.412 * * [misc]simplify: iters left: 5 (23 enodes) 1544000964.415 * * [misc]simplify: iters left: 4 (29 enodes) 1544000964.422 * * [misc]simplify: iters left: 3 (31 enodes) 1544000964.430 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) 1544000964.430 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))))) 1544000964.430 * * * * [misc]progress: [ 138 / 443 ] simplifiying candidate # 1544000964.431 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000964.431 * * [misc]simplify: iters left: 6 (15 enodes) 1544000964.436 * * [misc]simplify: iters left: 5 (23 enodes) 1544000964.442 * * [misc]simplify: iters left: 4 (32 enodes) 1544000964.449 * * [misc]simplify: iters left: 3 (33 enodes) 1544000964.453 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544000964.454 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1)) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 1544000964.454 * * * * [misc]progress: [ 139 / 443 ] simplifiying candidate # 1544000964.454 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544000964.454 * * [misc]simplify: iters left: 6 (15 enodes) 1544000964.456 * * [misc]simplify: iters left: 5 (23 enodes) 1544000964.459 * * [misc]simplify: iters left: 4 (32 enodes) 1544000964.464 * * [misc]simplify: iters left: 3 (33 enodes) 1544000964.468 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) 1544000964.468 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt 1)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))))) 1544000964.468 * * * * [misc]progress: [ 140 / 443 ] simplifiying candidate # 1544000964.468 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544000964.468 * * [misc]simplify: iters left: 6 (16 enodes) 1544000964.471 * * [misc]simplify: iters left: 5 (24 enodes) 1544000964.474 * * [misc]simplify: iters left: 4 (33 enodes) 1544000964.479 * * [misc]simplify: iters left: 3 (35 enodes) 1544000964.483 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))) 1544000964.483 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt 1)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))))) 1544000964.483 * * * * [misc]progress: [ 141 / 443 ] simplifiying candidate # 1544000964.483 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544000964.484 * * [misc]simplify: iters left: 6 (15 enodes) 1544000964.486 * * [misc]simplify: iters left: 5 (23 enodes) 1544000964.489 * * [misc]simplify: iters left: 4 (32 enodes) 1544000964.493 * * [misc]simplify: iters left: 3 (33 enodes) 1544000964.497 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544000964.497 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt 1)) (sqrt (sqrt (sqrt k))))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 1544000964.498 * * * * [misc]progress: [ 142 / 443 ] simplifiying candidate # 1544000964.498 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544000964.498 * * [misc]simplify: iters left: 6 (14 enodes) 1544000964.500 * * [misc]simplify: iters left: 5 (22 enodes) 1544000964.503 * * [misc]simplify: iters left: 4 (28 enodes) 1544000964.507 * * [misc]simplify: iters left: 3 (30 enodes) 1544000964.510 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k)) 1544000964.510 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt 1)) (sqrt 1))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k)))) 1544000964.510 * * * * [misc]progress: [ 143 / 443 ] simplifiying candidate # 1544000964.511 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544000964.511 * * [misc]simplify: iters left: 6 (15 enodes) 1544000964.513 * * [misc]simplify: iters left: 5 (23 enodes) 1544000964.516 * * [misc]simplify: iters left: 4 (32 enodes) 1544000964.520 * * [misc]simplify: iters left: 3 (33 enodes) 1544000964.524 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544000964.524 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt 1)) (sqrt (sqrt (sqrt k))))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 1544000964.524 * * * * [misc]progress: [ 144 / 443 ] simplifiying candidate # 1544000964.524 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544000964.524 * * [misc]simplify: iters left: 6 (14 enodes) 1544000964.526 * * [misc]simplify: iters left: 5 (22 enodes) 1544000964.529 * * [misc]simplify: iters left: 4 (28 enodes) 1544000964.533 * * [misc]simplify: iters left: 3 (30 enodes) 1544000964.537 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k)) 1544000964.537 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt 1)) 1)) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k)))) 1544000964.537 * * * * [misc]progress: [ 145 / 443 ] simplifiying candidate # 1544000964.537 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544000964.537 * * [misc]simplify: iters left: 6 (16 enodes) 1544000964.540 * * [misc]simplify: iters left: 5 (24 enodes) 1544000964.543 * * [misc]simplify: iters left: 4 (33 enodes) 1544000964.547 * * [misc]simplify: iters left: 3 (35 enodes) 1544000964.552 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000964.552 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 1544000964.552 * * * * [misc]progress: [ 146 / 443 ] simplifiying candidate # 1544000964.552 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544000964.552 * * [misc]simplify: iters left: 6 (17 enodes) 1544000964.554 * * [misc]simplify: iters left: 5 (25 enodes) 1544000964.561 * * [misc]simplify: iters left: 4 (34 enodes) 1544000964.570 * * [misc]simplify: iters left: 3 (36 enodes) 1544000964.579 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544000964.579 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544000964.579 * * * * [misc]progress: [ 147 / 443 ] simplifiying candidate # 1544000964.579 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000964.580 * * [misc]simplify: iters left: 6 (15 enodes) 1544000964.585 * * [misc]simplify: iters left: 5 (23 enodes) 1544000964.592 * * [misc]simplify: iters left: 4 (29 enodes) 1544000964.600 * * [misc]simplify: iters left: 3 (31 enodes) 1544000964.608 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) 1544000964.608 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))))) 1544000964.608 * * * * [misc]progress: [ 148 / 443 ] simplifiying candidate # 1544000964.608 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000964.608 * * [misc]simplify: iters left: 6 (15 enodes) 1544000964.612 * * [misc]simplify: iters left: 5 (23 enodes) 1544000964.615 * * [misc]simplify: iters left: 4 (32 enodes) 1544000964.619 * * [misc]simplify: iters left: 3 (33 enodes) 1544000964.623 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544000964.623 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt 1))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 1544000964.623 * * * * [misc]progress: [ 149 / 443 ] simplifiying candidate # 1544000964.623 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000964.624 * * [misc]simplify: iters left: 6 (15 enodes) 1544000964.626 * * [misc]simplify: iters left: 5 (23 enodes) 1544000964.629 * * [misc]simplify: iters left: 4 (29 enodes) 1544000964.633 * * [misc]simplify: iters left: 3 (31 enodes) 1544000964.636 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) 1544000964.636 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))))) 1544000964.637 * * * * [misc]progress: [ 150 / 443 ] simplifiying candidate # 1544000964.637 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000964.637 * * [misc]simplify: iters left: 6 (15 enodes) 1544000964.639 * * [misc]simplify: iters left: 5 (23 enodes) 1544000964.642 * * [misc]simplify: iters left: 4 (32 enodes) 1544000964.646 * * [misc]simplify: iters left: 3 (33 enodes) 1544000964.650 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544000964.650 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1)) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 1544000964.650 * * * * [misc]progress: [ 151 / 443 ] simplifiying candidate # 1544000964.650 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544000964.650 * * [misc]simplify: iters left: 6 (15 enodes) 1544000964.653 * * [misc]simplify: iters left: 5 (23 enodes) 1544000964.656 * * [misc]simplify: iters left: 4 (32 enodes) 1544000964.660 * * [misc]simplify: iters left: 3 (33 enodes) 1544000964.664 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) 1544000964.664 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))))) 1544000964.664 * * * * [misc]progress: [ 152 / 443 ] simplifiying candidate # 1544000964.665 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544000964.665 * * [misc]simplify: iters left: 6 (16 enodes) 1544000964.667 * * [misc]simplify: iters left: 5 (24 enodes) 1544000964.670 * * [misc]simplify: iters left: 4 (33 enodes) 1544000964.675 * * [misc]simplify: iters left: 3 (35 enodes) 1544000964.679 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))) 1544000964.679 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))))) 1544000964.679 * * * * [misc]progress: [ 153 / 443 ] simplifiying candidate # 1544000964.680 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544000964.680 * * [misc]simplify: iters left: 6 (15 enodes) 1544000964.682 * * [misc]simplify: iters left: 5 (23 enodes) 1544000964.685 * * [misc]simplify: iters left: 4 (32 enodes) 1544000964.689 * * [misc]simplify: iters left: 3 (33 enodes) 1544000964.695 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544000964.695 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) 1) (sqrt (sqrt (sqrt k))))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 1544000964.695 * * * * [misc]progress: [ 154 / 443 ] simplifiying candidate # 1544000964.695 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544000964.696 * * [misc]simplify: iters left: 6 (14 enodes) 1544000964.700 * * [misc]simplify: iters left: 5 (22 enodes) 1544000964.707 * * [misc]simplify: iters left: 4 (28 enodes) 1544000964.713 * * [misc]simplify: iters left: 3 (30 enodes) 1544000964.716 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k)) 1544000964.716 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) 1) (sqrt 1))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k)))) 1544000964.716 * * * * [misc]progress: [ 155 / 443 ] simplifiying candidate # 1544000964.716 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544000964.717 * * [misc]simplify: iters left: 6 (15 enodes) 1544000964.719 * * [misc]simplify: iters left: 5 (23 enodes) 1544000964.722 * * [misc]simplify: iters left: 4 (32 enodes) 1544000964.726 * * [misc]simplify: iters left: 3 (33 enodes) 1544000964.730 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544000964.730 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) 1) (sqrt (sqrt (sqrt k))))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 1544000964.730 * * * * [misc]progress: [ 156 / 443 ] simplifiying candidate # 1544000964.730 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544000964.730 * * [misc]simplify: iters left: 6 (14 enodes) 1544000964.732 * * [misc]simplify: iters left: 5 (22 enodes) 1544000964.735 * * [misc]simplify: iters left: 4 (28 enodes) 1544000964.742 * * [misc]simplify: iters left: 3 (30 enodes) 1544000964.750 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k)) 1544000964.750 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) 1) 1)) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k)))) 1544000964.750 * * * * [misc]progress: [ 157 / 443 ] simplifiying candidate # 1544000964.750 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544000964.750 * * [misc]simplify: iters left: 6 (14 enodes) 1544000964.753 * * [misc]simplify: iters left: 5 (22 enodes) 1544000964.756 * * [misc]simplify: iters left: 4 (28 enodes) 1544000964.759 * * [misc]simplify: iters left: 3 (29 enodes) 1544000964.763 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000964.763 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 1544000964.763 * * * * [misc]progress: [ 158 / 443 ] simplifiying candidate # 1544000964.763 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544000964.764 * * [misc]simplify: iters left: 6 (16 enodes) 1544000964.767 * * [misc]simplify: iters left: 5 (24 enodes) 1544000964.770 * * [misc]simplify: iters left: 4 (33 enodes) 1544000964.774 * * [misc]simplify: iters left: 3 (35 enodes) 1544000964.779 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544000964.779 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 1544000964.779 * * * * [misc]progress: [ 159 / 443 ] simplifiying candidate # 1544000964.779 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000964.779 * * [misc]simplify: iters left: 6 (15 enodes) 1544000964.784 * * [misc]simplify: iters left: 5 (23 enodes) 1544000964.790 * * [misc]simplify: iters left: 4 (32 enodes) 1544000964.799 * * [misc]simplify: iters left: 3 (33 enodes) 1544000964.807 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544000964.807 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 1544000964.807 * * * * [misc]progress: [ 160 / 443 ] simplifiying candidate # 1544000964.807 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000964.808 * * [misc]simplify: iters left: 6 (14 enodes) 1544000964.812 * * [misc]simplify: iters left: 5 (22 enodes) 1544000964.818 * * [misc]simplify: iters left: 4 (31 enodes) 1544000964.823 * * [misc]simplify: iters left: 3 (32 enodes) 1544000964.827 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000964.827 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt 1))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544000964.827 * * * * [misc]progress: [ 161 / 443 ] simplifiying candidate # 1544000964.827 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000964.827 * * [misc]simplify: iters left: 6 (15 enodes) 1544000964.829 * * [misc]simplify: iters left: 5 (23 enodes) 1544000964.833 * * [misc]simplify: iters left: 4 (32 enodes) 1544000964.837 * * [misc]simplify: iters left: 3 (33 enodes) 1544000964.841 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544000964.841 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 1544000964.841 * * * * [misc]progress: [ 162 / 443 ] simplifiying candidate # 1544000964.841 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000964.841 * * [misc]simplify: iters left: 6 (14 enodes) 1544000964.843 * * [misc]simplify: iters left: 5 (22 enodes) 1544000964.846 * * [misc]simplify: iters left: 4 (31 enodes) 1544000964.850 * * [misc]simplify: iters left: 3 (32 enodes) 1544000964.857 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000964.857 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1)) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544000964.857 * * * * [misc]progress: [ 163 / 443 ] simplifiying candidate # 1544000964.858 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544000964.858 * * [misc]simplify: iters left: 6 (16 enodes) 1544000964.863 * * [misc]simplify: iters left: 5 (24 enodes) 1544000964.870 * * [misc]simplify: iters left: 4 (33 enodes) 1544000964.878 * * [misc]simplify: iters left: 3 (35 enodes) 1544000964.886 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544000964.886 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 1544000964.886 * * * * [misc]progress: [ 164 / 443 ] simplifiying candidate # 1544000964.886 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544000964.886 * * [misc]simplify: iters left: 6 (14 enodes) 1544000964.890 * * [misc]simplify: iters left: 5 (22 enodes) 1544000964.895 * * [misc]simplify: iters left: 4 (28 enodes) 1544000964.901 * * [misc]simplify: iters left: 3 (30 enodes) 1544000964.908 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1544000964.908 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))))) 1544000964.908 * * * * [misc]progress: [ 165 / 443 ] simplifiying candidate # 1544000964.909 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000964.909 * * [misc]simplify: iters left: 6 (16 enodes) 1544000964.914 * * [misc]simplify: iters left: 5 (24 enodes) 1544000964.920 * * [misc]simplify: iters left: 4 (33 enodes) 1544000964.929 * * [misc]simplify: iters left: 3 (35 enodes) 1544000964.934 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000964.934 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544000964.935 * * * * [misc]progress: [ 166 / 443 ] simplifiying candidate # 1544000964.935 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 1544000964.935 * * [misc]simplify: iters left: 6 (15 enodes) 1544000964.937 * * [misc]simplify: iters left: 5 (23 enodes) 1544000964.940 * * [misc]simplify: iters left: 4 (32 enodes) 1544000964.944 * * [misc]simplify: iters left: 3 (33 enodes) 1544000964.948 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544000964.948 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt 1))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 1544000964.948 * * * * [misc]progress: [ 167 / 443 ] simplifiying candidate # 1544000964.948 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000964.949 * * [misc]simplify: iters left: 6 (16 enodes) 1544000964.951 * * [misc]simplify: iters left: 5 (24 enodes) 1544000964.954 * * [misc]simplify: iters left: 4 (33 enodes) 1544000964.959 * * [misc]simplify: iters left: 3 (35 enodes) 1544000964.963 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000964.963 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544000964.963 * * * * [misc]progress: [ 168 / 443 ] simplifiying candidate # 1544000964.963 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 1544000964.963 * * [misc]simplify: iters left: 6 (15 enodes) 1544000964.966 * * [misc]simplify: iters left: 5 (23 enodes) 1544000964.969 * * [misc]simplify: iters left: 4 (32 enodes) 1544000964.973 * * [misc]simplify: iters left: 3 (33 enodes) 1544000964.977 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544000964.977 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1)) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 1544000964.978 * * * * [misc]progress: [ 169 / 443 ] simplifiying candidate # 1544000964.978 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544000964.978 * * [misc]simplify: iters left: 6 (15 enodes) 1544000964.980 * * [misc]simplify: iters left: 5 (23 enodes) 1544000964.983 * * [misc]simplify: iters left: 4 (32 enodes) 1544000964.987 * * [misc]simplify: iters left: 3 (33 enodes) 1544000964.991 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000964.991 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544000964.991 * * * * [misc]progress: [ 170 / 443 ] simplifiying candidate # 1544000964.991 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544000964.992 * * [misc]simplify: iters left: 6 (16 enodes) 1544000964.996 * * [misc]simplify: iters left: 5 (24 enodes) 1544000965.003 * * [misc]simplify: iters left: 4 (33 enodes) 1544000965.011 * * [misc]simplify: iters left: 3 (35 enodes) 1544000965.020 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544000965.020 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 1544000965.020 * * * * [misc]progress: [ 171 / 443 ] simplifiying candidate # 1544000965.021 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000965.021 * * [misc]simplify: iters left: 6 (14 enodes) 1544000965.025 * * [misc]simplify: iters left: 5 (22 enodes) 1544000965.032 * * [misc]simplify: iters left: 4 (28 enodes) 1544000965.039 * * [misc]simplify: iters left: 3 (30 enodes) 1544000965.046 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1544000965.047 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))))) 1544000965.047 * * * * [misc]progress: [ 172 / 443 ] simplifiying candidate # 1544000965.047 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000965.047 * * [misc]simplify: iters left: 6 (14 enodes) 1544000965.051 * * [misc]simplify: iters left: 5 (22 enodes) 1544000965.058 * * [misc]simplify: iters left: 4 (31 enodes) 1544000965.066 * * [misc]simplify: iters left: 3 (32 enodes) 1544000965.074 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000965.074 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt 1))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544000965.074 * * * * [misc]progress: [ 173 / 443 ] simplifiying candidate # 1544000965.074 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000965.075 * * [misc]simplify: iters left: 6 (14 enodes) 1544000965.079 * * [misc]simplify: iters left: 5 (22 enodes) 1544000965.085 * * [misc]simplify: iters left: 4 (28 enodes) 1544000965.093 * * [misc]simplify: iters left: 3 (30 enodes) 1544000965.100 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1544000965.100 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))))) 1544000965.100 * * * * [misc]progress: [ 174 / 443 ] simplifiying candidate # 1544000965.101 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000965.101 * * [misc]simplify: iters left: 6 (14 enodes) 1544000965.104 * * [misc]simplify: iters left: 5 (22 enodes) 1544000965.110 * * [misc]simplify: iters left: 4 (31 enodes) 1544000965.117 * * [misc]simplify: iters left: 3 (32 enodes) 1544000965.124 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000965.124 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ 1 (sqrt (sqrt (sqrt k)))) 1)) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544000965.125 * * * * [misc]progress: [ 175 / 443 ] simplifiying candidate # 1544000965.125 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544000965.125 * * [misc]simplify: iters left: 6 (14 enodes) 1544000965.129 * * [misc]simplify: iters left: 5 (22 enodes) 1544000965.134 * * [misc]simplify: iters left: 4 (31 enodes) 1544000965.138 * * [misc]simplify: iters left: 3 (32 enodes) 1544000965.143 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000965.143 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ 1 (sqrt 1)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544000965.143 * * * * [misc]progress: [ 176 / 443 ] simplifiying candidate # 1544000965.143 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544000965.143 * * [misc]simplify: iters left: 6 (15 enodes) 1544000965.145 * * [misc]simplify: iters left: 5 (23 enodes) 1544000965.148 * * [misc]simplify: iters left: 4 (32 enodes) 1544000965.152 * * [misc]simplify: iters left: 3 (33 enodes) 1544000965.157 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 1544000965.157 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ 1 (sqrt 1)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))))) 1544000965.157 * * * * [misc]progress: [ 177 / 443 ] simplifiying candidate # 1544000965.157 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544000965.157 * * [misc]simplify: iters left: 6 (14 enodes) 1544000965.159 * * [misc]simplify: iters left: 5 (22 enodes) 1544000965.162 * * [misc]simplify: iters left: 4 (31 enodes) 1544000965.169 * * [misc]simplify: iters left: 3 (32 enodes) 1544000965.178 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000965.178 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt k))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544000965.178 * * * * [misc]progress: [ 178 / 443 ] simplifiying candidate # 1544000965.178 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544000965.178 * * [misc]simplify: iters left: 6 (13 enodes) 1544000965.182 * * [misc]simplify: iters left: 5 (21 enodes) 1544000965.189 * * [misc]simplify: iters left: 4 (27 enodes) 1544000965.196 * * [misc]simplify: iters left: 3 (30 enodes) 1544000965.204 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1544000965.204 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ 1 (sqrt 1)) (sqrt 1))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1544000965.204 * * * * [misc]progress: [ 179 / 443 ] simplifiying candidate # 1544000965.204 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544000965.204 * * [misc]simplify: iters left: 6 (14 enodes) 1544000965.209 * * [misc]simplify: iters left: 5 (22 enodes) 1544000965.216 * * [misc]simplify: iters left: 4 (31 enodes) 1544000965.224 * * [misc]simplify: iters left: 3 (32 enodes) 1544000965.232 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000965.232 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt k))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544000965.232 * * * * [misc]progress: [ 180 / 443 ] simplifiying candidate # 1544000965.232 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544000965.232 * * [misc]simplify: iters left: 6 (13 enodes) 1544000965.234 * * [misc]simplify: iters left: 5 (21 enodes) 1544000965.237 * * [misc]simplify: iters left: 4 (27 enodes) 1544000965.241 * * [misc]simplify: iters left: 3 (30 enodes) 1544000965.244 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1544000965.244 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ 1 (sqrt 1)) 1)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1544000965.244 * * * * [misc]progress: [ 181 / 443 ] simplifiying candidate # 1544000965.244 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544000965.245 * * [misc]simplify: iters left: 6 (15 enodes) 1544000965.247 * * [misc]simplify: iters left: 5 (23 enodes) 1544000965.250 * * [misc]simplify: iters left: 4 (32 enodes) 1544000965.255 * * [misc]simplify: iters left: 3 (33 enodes) 1544000965.259 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000965.259 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544000965.259 * * * * [misc]progress: [ 182 / 443 ] simplifiying candidate # 1544000965.259 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544000965.259 * * [misc]simplify: iters left: 6 (16 enodes) 1544000965.262 * * [misc]simplify: iters left: 5 (24 enodes) 1544000965.267 * * [misc]simplify: iters left: 4 (33 enodes) 1544000965.272 * * [misc]simplify: iters left: 3 (35 enodes) 1544000965.277 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544000965.277 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 1544000965.277 * * * * [misc]progress: [ 183 / 443 ] simplifiying candidate # 1544000965.277 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000965.277 * * [misc]simplify: iters left: 6 (14 enodes) 1544000965.279 * * [misc]simplify: iters left: 5 (22 enodes) 1544000965.282 * * [misc]simplify: iters left: 4 (28 enodes) 1544000965.286 * * [misc]simplify: iters left: 3 (30 enodes) 1544000965.290 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1544000965.290 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))))) 1544000965.290 * * * * [misc]progress: [ 184 / 443 ] simplifiying candidate # 1544000965.290 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000965.290 * * [misc]simplify: iters left: 6 (14 enodes) 1544000965.292 * * [misc]simplify: iters left: 5 (22 enodes) 1544000965.296 * * [misc]simplify: iters left: 4 (31 enodes) 1544000965.300 * * [misc]simplify: iters left: 3 (32 enodes) 1544000965.309 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000965.309 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt 1))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544000965.309 * * * * [misc]progress: [ 185 / 443 ] simplifiying candidate # 1544000965.310 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000965.310 * * [misc]simplify: iters left: 6 (14 enodes) 1544000965.314 * * [misc]simplify: iters left: 5 (22 enodes) 1544000965.320 * * [misc]simplify: iters left: 4 (28 enodes) 1544000965.327 * * [misc]simplify: iters left: 3 (30 enodes) 1544000965.335 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1544000965.335 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))))) 1544000965.335 * * * * [misc]progress: [ 186 / 443 ] simplifiying candidate # 1544000965.335 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000965.336 * * [misc]simplify: iters left: 6 (14 enodes) 1544000965.340 * * [misc]simplify: iters left: 5 (22 enodes) 1544000965.346 * * [misc]simplify: iters left: 4 (31 enodes) 1544000965.354 * * [misc]simplify: iters left: 3 (32 enodes) 1544000965.363 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000965.363 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ 1 (sqrt (sqrt (sqrt k)))) 1)) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544000965.363 * * * * [misc]progress: [ 187 / 443 ] simplifiying candidate # 1544000965.364 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544000965.364 * * [misc]simplify: iters left: 6 (14 enodes) 1544000965.368 * * [misc]simplify: iters left: 5 (22 enodes) 1544000965.373 * * [misc]simplify: iters left: 4 (31 enodes) 1544000965.377 * * [misc]simplify: iters left: 3 (32 enodes) 1544000965.381 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000965.381 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ 1 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544000965.381 * * * * [misc]progress: [ 188 / 443 ] simplifiying candidate # 1544000965.381 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544000965.381 * * [misc]simplify: iters left: 6 (15 enodes) 1544000965.383 * * [misc]simplify: iters left: 5 (23 enodes) 1544000965.386 * * [misc]simplify: iters left: 4 (32 enodes) 1544000965.390 * * [misc]simplify: iters left: 3 (33 enodes) 1544000965.395 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 1544000965.395 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ 1 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))))) 1544000965.395 * * * * [misc]progress: [ 189 / 443 ] simplifiying candidate # 1544000965.395 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544000965.395 * * [misc]simplify: iters left: 6 (14 enodes) 1544000965.397 * * [misc]simplify: iters left: 5 (22 enodes) 1544000965.400 * * [misc]simplify: iters left: 4 (31 enodes) 1544000965.405 * * [misc]simplify: iters left: 3 (32 enodes) 1544000965.413 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000965.413 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ 1 1) (sqrt (sqrt (sqrt k))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544000965.413 * * * * [misc]progress: [ 190 / 443 ] simplifiying candidate # 1544000965.413 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544000965.414 * * [misc]simplify: iters left: 6 (13 enodes) 1544000965.418 * * [misc]simplify: iters left: 5 (21 enodes) 1544000965.422 * * [misc]simplify: iters left: 4 (27 enodes) 1544000965.426 * * [misc]simplify: iters left: 3 (30 enodes) 1544000965.429 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1544000965.429 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ 1 1) (sqrt 1))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1544000965.429 * * * * [misc]progress: [ 191 / 443 ] simplifiying candidate # 1544000965.429 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544000965.429 * * [misc]simplify: iters left: 6 (14 enodes) 1544000965.431 * * [misc]simplify: iters left: 5 (22 enodes) 1544000965.434 * * [misc]simplify: iters left: 4 (31 enodes) 1544000965.438 * * [misc]simplify: iters left: 3 (32 enodes) 1544000965.442 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000965.442 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ 1 1) (sqrt (sqrt (sqrt k))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544000965.442 * * * * [misc]progress: [ 192 / 443 ] simplifiying candidate # 1544000965.442 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544000965.442 * * [misc]simplify: iters left: 6 (13 enodes) 1544000965.444 * * [misc]simplify: iters left: 5 (21 enodes) 1544000965.447 * * [misc]simplify: iters left: 4 (27 enodes) 1544000965.454 * * [misc]simplify: iters left: 3 (30 enodes) 1544000965.461 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1544000965.461 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ 1 1) 1)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1544000965.461 * * * * [misc]progress: [ 193 / 443 ] simplifiying candidate # 1544000965.462 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544000965.462 * * [misc]simplify: iters left: 6 (14 enodes) 1544000965.467 * * [misc]simplify: iters left: 5 (22 enodes) 1544000965.473 * * [misc]simplify: iters left: 4 (31 enodes) 1544000965.481 * * [misc]simplify: iters left: 3 (32 enodes) 1544000965.489 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000965.489 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544000965.489 * * * * [misc]progress: [ 194 / 443 ] simplifiying candidate # 1544000965.490 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544000965.490 * * [misc]simplify: iters left: 6 (15 enodes) 1544000965.493 * * [misc]simplify: iters left: 5 (23 enodes) 1544000965.496 * * [misc]simplify: iters left: 4 (32 enodes) 1544000965.501 * * [misc]simplify: iters left: 3 (33 enodes) 1544000965.505 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 1544000965.505 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))))) 1544000965.505 * * * * [misc]progress: [ 195 / 443 ] simplifiying candidate # 1544000965.505 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544000965.505 * * [misc]simplify: iters left: 6 (14 enodes) 1544000965.507 * * [misc]simplify: iters left: 5 (22 enodes) 1544000965.510 * * [misc]simplify: iters left: 4 (31 enodes) 1544000965.514 * * [misc]simplify: iters left: 3 (32 enodes) 1544000965.518 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000965.518 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ 1 (sqrt (sqrt (sqrt k))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544000965.518 * * * * [misc]progress: [ 196 / 443 ] simplifiying candidate # 1544000965.519 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544000965.519 * * [misc]simplify: iters left: 6 (13 enodes) 1544000965.522 * * [misc]simplify: iters left: 5 (21 enodes) 1544000965.528 * * [misc]simplify: iters left: 4 (27 enodes) 1544000965.535 * * [misc]simplify: iters left: 3 (30 enodes) 1544000965.543 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1544000965.543 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ 1 (sqrt 1))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1544000965.543 * * * * [misc]progress: [ 197 / 443 ] simplifiying candidate # 1544000965.543 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544000965.543 * * [misc]simplify: iters left: 6 (14 enodes) 1544000965.548 * * [misc]simplify: iters left: 5 (22 enodes) 1544000965.554 * * [misc]simplify: iters left: 4 (31 enodes) 1544000965.562 * * [misc]simplify: iters left: 3 (32 enodes) 1544000965.570 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000965.570 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ 1 (sqrt (sqrt (sqrt k))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544000965.570 * * * * [misc]progress: [ 198 / 443 ] simplifiying candidate # 1544000965.571 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544000965.571 * * [misc]simplify: iters left: 6 (13 enodes) 1544000965.575 * * [misc]simplify: iters left: 5 (21 enodes) 1544000965.581 * * [misc]simplify: iters left: 4 (27 enodes) 1544000965.588 * * [misc]simplify: iters left: 3 (30 enodes) 1544000965.594 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1544000965.594 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ 1 1)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1544000965.595 * * * * [misc]progress: [ 199 / 443 ] simplifiying candidate # 1544000965.595 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544000965.595 * * [misc]simplify: iters left: 6 (7 enodes) 1544000965.597 * * [misc]simplify: iters left: 5 (11 enodes) 1544000965.600 * * [misc]simplify: iters left: 4 (14 enodes) 1544000965.603 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544000965.604 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ 1 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1544000965.604 * * * * [misc]progress: [ 200 / 443 ] simplifiying candidate # 1544000965.604 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544000965.604 * * [misc]simplify: iters left: 6 (8 enodes) 1544000965.606 * * [misc]simplify: iters left: 5 (12 enodes) 1544000965.609 * * [misc]simplify: iters left: 4 (15 enodes) 1544000965.613 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544000965.613 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 1544000965.613 * * * * [misc]progress: [ 201 / 443 ] simplifiying candidate # 1544000965.614 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544000965.614 * * [misc]simplify: iters left: 6 (7 enodes) 1544000965.616 * * [misc]simplify: iters left: 5 (11 enodes) 1544000965.618 * * [misc]simplify: iters left: 4 (14 enodes) 1544000965.622 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544000965.622 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k))))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 1544000965.622 * * * * [misc]progress: [ 202 / 443 ] simplifiying candidate # 1544000965.623 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) 1544000965.623 * * [misc]simplify: iters left: 6 (6 enodes) 1544000965.624 * * [misc]simplify: iters left: 5 (10 enodes) 1544000965.625 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1544000965.625 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt 1))) (/ 1 (sqrt k)))) 1544000965.625 * * * * [misc]progress: [ 203 / 443 ] simplifiying candidate # 1544000965.625 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544000965.625 * * [misc]simplify: iters left: 6 (7 enodes) 1544000965.626 * * [misc]simplify: iters left: 5 (11 enodes) 1544000965.628 * * [misc]simplify: iters left: 4 (14 enodes) 1544000965.629 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544000965.630 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k))))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 1544000965.630 * * * * [misc]progress: [ 204 / 443 ] simplifiying candidate # 1544000965.630 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) 1544000965.630 * * [misc]simplify: iters left: 6 (6 enodes) 1544000965.631 * * [misc]simplify: iters left: 5 (10 enodes) 1544000965.632 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1544000965.632 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) 1)) (/ 1 (sqrt k)))) 1544000965.632 * * * * [misc]progress: [ 205 / 443 ] simplifiying candidate # 1544000965.632 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544000965.632 * * [misc]simplify: iters left: 6 (13 enodes) 1544000965.634 * * [misc]simplify: iters left: 5 (21 enodes) 1544000965.637 * * [misc]simplify: iters left: 4 (27 enodes) 1544000965.641 * * [misc]simplify: iters left: 3 (30 enodes) 1544000965.645 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1544000965.645 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) 1) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1544000965.645 * * * * [misc]progress: [ 206 / 443 ] simplifiying candidate # 1544000965.645 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1544000965.645 * * [misc]simplify: iters left: 4 (5 enodes) 1544000965.646 * * [misc]simplify: iters left: 3 (7 enodes) 1544000965.647 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1544000965.647 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))))) 1544000965.647 * * * * [misc]progress: [ 207 / 443 ] simplifiying candidate # 1544000965.647 * [enter]simplify: Simplifying (* (cbrt (sqrt (* (* PI 2) n))) (cbrt (sqrt (* (* PI 2) n)))) 1544000965.647 * * [misc]simplify: iters left: 6 (8 enodes) 1544000965.648 * * [misc]simplify: iters left: 5 (12 enodes) 1544000965.650 * * [misc]simplify: iters left: 4 (18 enodes) 1544000965.652 * * [misc]simplify: iters left: 3 (20 enodes) 1544000965.654 * [exit]simplify: Simplified to (* (cbrt (sqrt (* PI (* n 2)))) (cbrt (sqrt (* PI (* n 2))))) 1544000965.655 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (sqrt (* PI (* n 2)))) (cbrt (sqrt (* PI (* n 2))))) (* (cbrt (sqrt (* (* PI 2) n))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))) 1544000965.655 * * * * [misc]progress: [ 208 / 443 ] simplifiying candidate # 1544000965.655 * [enter]simplify: Simplifying (sqrt (* PI 2)) 1544000965.655 * * [misc]simplify: iters left: 3 (4 enodes) 1544000965.656 * * [misc]simplify: iters left: 2 (5 enodes) 1544000965.657 * [exit]simplify: Simplified to (sqrt (* PI 2)) 1544000965.657 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* PI 2)) (* (sqrt n) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))) 1544000965.657 * * * * [misc]progress: [ 209 / 443 ] simplifiying candidate # 1544000965.657 * [enter]simplify: Simplifying (sqrt (sqrt (* (* PI 2) n))) 1544000965.657 * * [misc]simplify: iters left: 6 (7 enodes) 1544000965.660 * * [misc]simplify: iters left: 5 (11 enodes) 1544000965.663 * * [misc]simplify: iters left: 4 (17 enodes) 1544000965.667 * * [misc]simplify: iters left: 3 (19 enodes) 1544000965.672 * [exit]simplify: Simplified to (sqrt (sqrt (* (* PI 2) n))) 1544000965.672 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (sqrt (* (* PI 2) n))) (* (sqrt (sqrt (* (* PI 2) n))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))) 1544000965.672 * * * * [misc]progress: [ 210 / 443 ] simplifiying candidate # 1544000965.672 * * * * [misc]progress: [ 211 / 443 ] simplifiying candidate # 1544000965.673 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1544000965.673 * * [misc]simplify: iters left: 2 (3 enodes) 1544000965.674 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1544000965.674 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1544000965.674 * * * * [misc]progress: [ 212 / 443 ] simplifiying candidate # 1544000965.674 * * * * [misc]progress: [ 213 / 443 ] simplifiying candidate # 1544000965.674 * * * * [misc]progress: [ 214 / 443 ] simplifiying candidate # 1544000965.674 * [enter]simplify: Simplifying (- (- (* (log (* PI (* n 2))) (- (/ k 2))) (log (sqrt (sqrt k)))) (log (sqrt (sqrt k)))) 1544000965.674 * * [misc]simplify: iters left: 6 (15 enodes) 1544000965.679 * * [misc]simplify: iters left: 5 (32 enodes) 1544000965.687 * * [misc]simplify: iters left: 4 (69 enodes) 1544000965.700 * * [misc]simplify: iters left: 3 (180 enodes) 1544000965.761 * [exit]simplify: Simplified to (- (* (/ (- k) 2) (log (* (* 2 n) PI))) (+ (log (sqrt (sqrt k))) (log (sqrt (sqrt k))))) 1544000965.761 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (exp (- (* (/ (- k) 2) (log (* (* 2 n) PI))) (+ (log (sqrt (sqrt k))) (log (sqrt (sqrt k)))))))) 1544000965.761 * * * * [misc]progress: [ 215 / 443 ] simplifiying candidate # 1544000965.761 * [enter]simplify: Simplifying (- (- (* (log (* PI (* n 2))) (- (/ k 2))) (log (sqrt (sqrt k)))) (log (sqrt (sqrt k)))) 1544000965.762 * * [misc]simplify: iters left: 6 (15 enodes) 1544000965.764 * * [misc]simplify: iters left: 5 (32 enodes) 1544000965.769 * * [misc]simplify: iters left: 4 (69 enodes) 1544000965.795 * * [misc]simplify: iters left: 3 (180 enodes) 1544000965.852 * [exit]simplify: Simplified to (- (* (/ (- k) 2) (log (* (* 2 n) PI))) (+ (log (sqrt (sqrt k))) (log (sqrt (sqrt k))))) 1544000965.852 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (exp (- (* (/ (- k) 2) (log (* (* 2 n) PI))) (+ (log (sqrt (sqrt k))) (log (sqrt (sqrt k)))))))) 1544000965.852 * * * * [misc]progress: [ 216 / 443 ] simplifiying candidate # 1544000965.852 * [enter]simplify: Simplifying (- (- (log (pow (* PI (* n 2)) (- (/ k 2)))) (log (sqrt (sqrt k)))) (log (sqrt (sqrt k)))) 1544000965.852 * * [misc]simplify: iters left: 6 (15 enodes) 1544000965.855 * * [misc]simplify: iters left: 5 (28 enodes) 1544000965.859 * * [misc]simplify: iters left: 4 (54 enodes) 1544000965.868 * * [misc]simplify: iters left: 3 (126 enodes) 1544000965.909 * * [misc]simplify: iters left: 2 (417 enodes) 1544000966.145 * [exit]simplify: Simplified to (- (/ (log (* (* 2 n) PI)) (/ 2 (- k))) (+ (log (sqrt (sqrt k))) (log (sqrt (sqrt k))))) 1544000966.145 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (exp (- (/ (log (* (* 2 n) PI)) (/ 2 (- k))) (+ (log (sqrt (sqrt k))) (log (sqrt (sqrt k)))))))) 1544000966.145 * * * * [misc]progress: [ 217 / 443 ] simplifiying candidate # 1544000966.146 * [enter]simplify: Simplifying (- (log (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (log (sqrt (sqrt k)))) 1544000966.146 * * [misc]simplify: iters left: 6 (15 enodes) 1544000966.150 * * [misc]simplify: iters left: 5 (25 enodes) 1544000966.157 * * [misc]simplify: iters left: 4 (39 enodes) 1544000966.169 * * [misc]simplify: iters left: 3 (71 enodes) 1544000966.194 * * [misc]simplify: iters left: 2 (201 enodes) 1544000966.318 * [exit]simplify: Simplified to (- (* (log (* (* PI 2) n)) (- (/ k 2))) (+ (log (sqrt (sqrt k))) (log (sqrt (sqrt k))))) 1544000966.318 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (exp (- (* (log (* (* PI 2) n)) (- (/ k 2))) (+ (log (sqrt (sqrt k))) (log (sqrt (sqrt k)))))))) 1544000966.318 * * * * [misc]progress: [ 218 / 443 ] simplifiying candidate # 1544000966.318 * * * * [misc]progress: [ 219 / 443 ] simplifiying candidate # 1544000966.318 * * * * [misc]progress: [ 220 / 443 ] simplifiying candidate # 1544000966.319 * [enter]simplify: Simplifying (/ (/ (* (* (pow (* PI (* n 2)) (- (/ k 2))) (pow (* PI (* n 2)) (- (/ k 2)))) (pow (* PI (* n 2)) (- (/ k 2)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1544000966.319 * * [misc]simplify: iters left: 6 (17 enodes) 1544000966.322 * * [misc]simplify: iters left: 5 (36 enodes) 1544000966.329 * * [misc]simplify: iters left: 4 (103 enodes) 1544000966.383 * * [misc]simplify: iters left: 3 (292 enodes) 1544000966.598 * [exit]simplify: Simplified to (* (/ (pow (* (* 2 n) PI) (- (/ k 2))) (* k (sqrt k))) (* (pow (* (* 2 n) PI) (- (/ k 2))) (pow (* (* 2 n) PI) (- (/ k 2))))) 1544000966.598 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (cbrt (* (/ (pow (* (* 2 n) PI) (- (/ k 2))) (* k (sqrt k))) (* (pow (* (* 2 n) PI) (- (/ k 2))) (pow (* (* 2 n) PI) (- (/ k 2)))))))) 1544000966.598 * * * * [misc]progress: [ 221 / 443 ] simplifiying candidate # 1544000966.598 * [enter]simplify: Simplifying (/ (* (* (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1544000966.598 * * [misc]simplify: iters left: 6 (17 enodes) 1544000966.603 * * [misc]simplify: iters left: 5 (38 enodes) 1544000966.617 * * [misc]simplify: iters left: 4 (96 enodes) 1544000966.660 * * [misc]simplify: iters left: 3 (240 enodes) 1544000966.771 * * [misc]simplify: iters left: 2 (449 enodes) 1544000967.152 * [exit]simplify: Simplified to (/ (* (pow (* (* 2 n) PI) (- (/ k 2))) (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (* (sqrt k) k) (pow (* (* 2 n) PI) (- (/ k 2))))) 1544000967.152 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (cbrt (/ (* (pow (* (* 2 n) PI) (- (/ k 2))) (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (* (sqrt k) k) (pow (* (* 2 n) PI) (- (/ k 2)))))))) 1544000967.152 * * * * [misc]progress: [ 222 / 443 ] simplifiying candidate # 1544000967.152 * * * * [misc]progress: [ 223 / 443 ] simplifiying candidate # 1544000967.152 * * * * [misc]progress: [ 224 / 443 ] simplifiying candidate # 1544000967.152 * * * * [misc]progress: [ 225 / 443 ] simplifiying candidate # 1544000967.153 * * * * [misc]progress: [ 226 / 443 ] simplifiying candidate # 1544000967.153 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000967.153 * * [misc]simplify: iters left: 6 (17 enodes) 1544000967.156 * * [misc]simplify: iters left: 5 (29 enodes) 1544000967.160 * * [misc]simplify: iters left: 4 (44 enodes) 1544000967.166 * * [misc]simplify: iters left: 3 (48 enodes) 1544000967.171 * * [misc]simplify: iters left: 2 (51 enodes) 1544000967.178 * [exit]simplify: Simplified to (* (/ (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))) 1544000967.178 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (/ (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))) 1544000967.178 * [enter]simplify: Simplifying (/ (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544000967.178 * * [misc]simplify: iters left: 6 (15 enodes) 1544000967.180 * * [misc]simplify: iters left: 5 (21 enodes) 1544000967.183 * * [misc]simplify: iters left: 4 (27 enodes) 1544000967.187 * * [misc]simplify: iters left: 3 (29 enodes) 1544000967.190 * [exit]simplify: Simplified to (/ (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544000967.190 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (* (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))) 1544000967.191 * * * * [misc]progress: [ 227 / 443 ] simplifiying candidate # 1544000967.191 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544000967.191 * * [misc]simplify: iters left: 6 (18 enodes) 1544000967.196 * * [misc]simplify: iters left: 5 (27 enodes) 1544000967.203 * * [misc]simplify: iters left: 4 (35 enodes) 1544000967.213 * * [misc]simplify: iters left: 3 (37 enodes) 1544000967.221 * [exit]simplify: Simplified to (/ (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))))) 1544000967.221 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))))) (/ (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))) 1544000967.221 * [enter]simplify: Simplifying (/ (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544000967.221 * * [misc]simplify: iters left: 6 (16 enodes) 1544000967.224 * * [misc]simplify: iters left: 5 (22 enodes) 1544000967.226 * * [misc]simplify: iters left: 4 (28 enodes) 1544000967.231 * * [misc]simplify: iters left: 3 (29 enodes) 1544000967.235 * [exit]simplify: Simplified to (/ (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544000967.235 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))))) (/ (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))) 1544000967.235 * * * * [misc]progress: [ 228 / 443 ] simplifiying candidate # 1544000967.235 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 1544000967.235 * * [misc]simplify: iters left: 6 (16 enodes) 1544000967.238 * * [misc]simplify: iters left: 5 (24 enodes) 1544000967.241 * * [misc]simplify: iters left: 4 (32 enodes) 1544000967.245 * * [misc]simplify: iters left: 3 (35 enodes) 1544000967.250 * [exit]simplify: Simplified to (* (/ (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))))) 1544000967.250 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (/ (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))))) (/ (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544000967.250 * [enter]simplify: Simplifying (/ (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000967.250 * * [misc]simplify: iters left: 6 (15 enodes) 1544000967.253 * * [misc]simplify: iters left: 5 (21 enodes) 1544000967.258 * * [misc]simplify: iters left: 4 (27 enodes) 1544000967.266 * * [misc]simplify: iters left: 3 (29 enodes) 1544000967.273 * [exit]simplify: Simplified to (/ (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000967.273 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (* (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544000967.273 * * * * [misc]progress: [ 229 / 443 ] simplifiying candidate # 1544000967.274 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))))) (sqrt 1)) 1544000967.274 * * [misc]simplify: iters left: 6 (17 enodes) 1544000967.280 * * [misc]simplify: iters left: 5 (27 enodes) 1544000967.287 * * [misc]simplify: iters left: 4 (35 enodes) 1544000967.296 * * [misc]simplify: iters left: 3 (36 enodes) 1544000967.305 * * [misc]simplify: iters left: 2 (42 enodes) 1544000967.314 * * [misc]simplify: iters left: 1 (44 enodes) 1544000967.324 * [exit]simplify: Simplified to (* (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))))) 1544000967.324 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))))) (/ (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544000967.324 * [enter]simplify: Simplifying (/ (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000967.324 * * [misc]simplify: iters left: 6 (14 enodes) 1544000967.328 * * [misc]simplify: iters left: 5 (20 enodes) 1544000967.334 * * [misc]simplify: iters left: 4 (26 enodes) 1544000967.341 * * [misc]simplify: iters left: 3 (28 enodes) 1544000967.348 * [exit]simplify: Simplified to (/ (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000967.348 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))))) (/ (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544000967.348 * * * * [misc]progress: [ 230 / 443 ] simplifiying candidate # 1544000967.349 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 1544000967.349 * * [misc]simplify: iters left: 6 (16 enodes) 1544000967.354 * * [misc]simplify: iters left: 5 (24 enodes) 1544000967.362 * * [misc]simplify: iters left: 4 (32 enodes) 1544000967.371 * * [misc]simplify: iters left: 3 (35 enodes) 1544000967.376 * [exit]simplify: Simplified to (* (/ (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))))) 1544000967.376 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (/ (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))))) (/ (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544000967.376 * [enter]simplify: Simplifying (/ (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000967.376 * * [misc]simplify: iters left: 6 (15 enodes) 1544000967.378 * * [misc]simplify: iters left: 5 (21 enodes) 1544000967.381 * * [misc]simplify: iters left: 4 (27 enodes) 1544000967.385 * * [misc]simplify: iters left: 3 (29 enodes) 1544000967.389 * [exit]simplify: Simplified to (/ (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000967.389 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (* (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544000967.389 * * * * [misc]progress: [ 231 / 443 ] simplifiying candidate # 1544000967.389 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))))) 1) 1544000967.389 * * [misc]simplify: iters left: 6 (16 enodes) 1544000967.392 * * [misc]simplify: iters left: 5 (26 enodes) 1544000967.395 * * [misc]simplify: iters left: 4 (38 enodes) 1544000967.400 * * [misc]simplify: iters left: 3 (53 enodes) 1544000967.411 * * [misc]simplify: iters left: 2 (79 enodes) 1544000967.431 * [exit]simplify: Simplified to (* (cbrt (/ (pow (* (* PI 2) n) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (/ (pow (* (* PI 2) n) (- (/ k 2))) (sqrt (sqrt k))))) 1544000967.431 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (cbrt (/ (pow (* (* PI 2) n) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (/ (pow (* (* PI 2) n) (- (/ k 2))) (sqrt (sqrt k))))) (/ (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544000967.432 * [enter]simplify: Simplifying (/ (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000967.432 * * [misc]simplify: iters left: 6 (14 enodes) 1544000967.436 * * [misc]simplify: iters left: 5 (20 enodes) 1544000967.442 * * [misc]simplify: iters left: 4 (26 enodes) 1544000967.449 * * [misc]simplify: iters left: 3 (28 enodes) 1544000967.456 * [exit]simplify: Simplified to (/ (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000967.456 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (cbrt (/ (pow (* (* PI 2) n) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (/ (pow (* (* PI 2) n) (- (/ k 2))) (sqrt (sqrt k))))) (/ (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544000967.456 * * * * [misc]progress: [ 232 / 443 ] simplifiying candidate # 1544000967.456 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000967.456 * * [misc]simplify: iters left: 6 (16 enodes) 1544000967.461 * * [misc]simplify: iters left: 5 (24 enodes) 1544000967.468 * * [misc]simplify: iters left: 4 (30 enodes) 1544000967.477 * * [misc]simplify: iters left: 3 (32 enodes) 1544000967.486 * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000967.486 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))) 1544000967.486 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544000967.486 * * [misc]simplify: iters left: 6 (15 enodes) 1544000967.491 * * [misc]simplify: iters left: 5 (21 enodes) 1544000967.497 * * [misc]simplify: iters left: 4 (27 enodes) 1544000967.505 * * [misc]simplify: iters left: 3 (29 enodes) 1544000967.512 * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544000967.512 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))) 1544000967.512 * * * * [misc]progress: [ 233 / 443 ] simplifiying candidate # 1544000967.512 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544000967.513 * * [misc]simplify: iters left: 6 (17 enodes) 1544000967.518 * * [misc]simplify: iters left: 5 (24 enodes) 1544000967.524 * * [misc]simplify: iters left: 4 (30 enodes) 1544000967.532 * * [misc]simplify: iters left: 3 (32 enodes) 1544000967.541 * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) 1544000967.541 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))) 1544000967.541 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544000967.541 * * [misc]simplify: iters left: 6 (16 enodes) 1544000967.546 * * [misc]simplify: iters left: 5 (22 enodes) 1544000967.550 * * [misc]simplify: iters left: 4 (28 enodes) 1544000967.553 * * [misc]simplify: iters left: 3 (29 enodes) 1544000967.557 * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544000967.557 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))) 1544000967.557 * * * * [misc]progress: [ 234 / 443 ] simplifiying candidate # 1544000967.557 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000967.557 * * [misc]simplify: iters left: 6 (15 enodes) 1544000967.559 * * [misc]simplify: iters left: 5 (21 enodes) 1544000967.562 * * [misc]simplify: iters left: 4 (27 enodes) 1544000967.565 * * [misc]simplify: iters left: 3 (29 enodes) 1544000967.569 * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000967.569 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544000967.569 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000967.569 * * [misc]simplify: iters left: 6 (15 enodes) 1544000967.571 * * [misc]simplify: iters left: 5 (21 enodes) 1544000967.574 * * [misc]simplify: iters left: 4 (27 enodes) 1544000967.577 * * [misc]simplify: iters left: 3 (29 enodes) 1544000967.581 * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000967.581 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544000967.581 * * * * [misc]progress: [ 235 / 443 ] simplifiying candidate # 1544000967.581 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt 1)) 1544000967.581 * * [misc]simplify: iters left: 6 (16 enodes) 1544000967.585 * * [misc]simplify: iters left: 5 (24 enodes) 1544000967.588 * * [misc]simplify: iters left: 4 (30 enodes) 1544000967.592 * * [misc]simplify: iters left: 3 (34 enodes) 1544000967.596 * [exit]simplify: Simplified to (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) 1544000967.596 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (/ (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544000967.596 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000967.596 * * [misc]simplify: iters left: 6 (14 enodes) 1544000967.598 * * [misc]simplify: iters left: 5 (20 enodes) 1544000967.603 * * [misc]simplify: iters left: 4 (26 enodes) 1544000967.610 * * [misc]simplify: iters left: 3 (28 enodes) 1544000967.617 * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000967.617 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (/ (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544000967.617 * * * * [misc]progress: [ 236 / 443 ] simplifiying candidate # 1544000967.617 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000967.618 * * [misc]simplify: iters left: 6 (15 enodes) 1544000967.622 * * [misc]simplify: iters left: 5 (21 enodes) 1544000967.628 * * [misc]simplify: iters left: 4 (27 enodes) 1544000967.635 * * [misc]simplify: iters left: 3 (29 enodes) 1544000967.642 * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000967.642 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544000967.643 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000967.643 * * [misc]simplify: iters left: 6 (15 enodes) 1544000967.648 * * [misc]simplify: iters left: 5 (21 enodes) 1544000967.654 * * [misc]simplify: iters left: 4 (27 enodes) 1544000967.661 * * [misc]simplify: iters left: 3 (29 enodes) 1544000967.669 * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000967.669 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544000967.669 * * * * [misc]progress: [ 237 / 443 ] simplifiying candidate # 1544000967.669 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) 1) 1544000967.670 * * [misc]simplify: iters left: 6 (15 enodes) 1544000967.674 * * [misc]simplify: iters left: 5 (23 enodes) 1544000967.681 * * [misc]simplify: iters left: 4 (31 enodes) 1544000967.688 * * [misc]simplify: iters left: 3 (32 enodes) 1544000967.696 * [exit]simplify: Simplified to (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) 1544000967.696 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (/ (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544000967.696 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000967.696 * * [misc]simplify: iters left: 6 (14 enodes) 1544000967.701 * * [misc]simplify: iters left: 5 (20 enodes) 1544000967.707 * * [misc]simplify: iters left: 4 (26 enodes) 1544000967.714 * * [misc]simplify: iters left: 3 (28 enodes) 1544000967.722 * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000967.722 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (/ (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544000967.722 * * * * [misc]progress: [ 238 / 443 ] simplifiying candidate # 1544000967.723 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000967.723 * * [misc]simplify: iters left: 6 (12 enodes) 1544000967.727 * * [misc]simplify: iters left: 5 (20 enodes) 1544000967.732 * * [misc]simplify: iters left: 4 (26 enodes) 1544000967.739 * * [misc]simplify: iters left: 3 (28 enodes) 1544000967.745 * * [misc]simplify: iters left: 2 (32 enodes) 1544000967.749 * * [misc]simplify: iters left: 1 (34 enodes) 1544000967.753 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544000967.753 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))) 1544000967.753 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544000967.753 * * [misc]simplify: iters left: 6 (12 enodes) 1544000967.755 * * [misc]simplify: iters left: 5 (17 enodes) 1544000967.757 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544000967.758 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))) 1544000967.758 * * * * [misc]progress: [ 239 / 443 ] simplifiying candidate # 1544000967.758 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544000967.758 * * [misc]simplify: iters left: 6 (15 enodes) 1544000967.760 * * [misc]simplify: iters left: 5 (22 enodes) 1544000967.763 * * [misc]simplify: iters left: 4 (27 enodes) 1544000967.767 * * [misc]simplify: iters left: 3 (30 enodes) 1544000967.770 * * [misc]simplify: iters left: 2 (36 enodes) 1544000967.780 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000967.780 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (pow PI (/ (- k) 2)) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))) 1544000967.780 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544000967.780 * * [misc]simplify: iters left: 6 (14 enodes) 1544000967.784 * * [misc]simplify: iters left: 5 (19 enodes) 1544000967.790 * * [misc]simplify: iters left: 4 (22 enodes) 1544000967.796 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) 1544000967.796 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (pow PI (/ (- k) 2)) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))))) 1544000967.796 * * * * [misc]progress: [ 240 / 443 ] simplifiying candidate # 1544000967.796 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 1544000967.796 * * [misc]simplify: iters left: 6 (13 enodes) 1544000967.800 * * [misc]simplify: iters left: 5 (19 enodes) 1544000967.806 * * [misc]simplify: iters left: 4 (24 enodes) 1544000967.813 * * [misc]simplify: iters left: 3 (27 enodes) 1544000967.821 * * [misc]simplify: iters left: 2 (33 enodes) 1544000967.829 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000967.829 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544000967.830 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000967.830 * * [misc]simplify: iters left: 6 (13 enodes) 1544000967.834 * * [misc]simplify: iters left: 5 (18 enodes) 1544000967.838 * * [misc]simplify: iters left: 4 (21 enodes) 1544000967.846 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000967.846 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (pow PI (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))))) 1544000967.846 * * * * [misc]progress: [ 241 / 443 ] simplifiying candidate # 1544000967.846 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt 1)) 1544000967.846 * * [misc]simplify: iters left: 6 (14 enodes) 1544000967.851 * * [misc]simplify: iters left: 5 (22 enodes) 1544000967.857 * * [misc]simplify: iters left: 4 (27 enodes) 1544000967.864 * * [misc]simplify: iters left: 3 (30 enodes) 1544000967.867 * * [misc]simplify: iters left: 2 (35 enodes) 1544000967.871 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544000967.871 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544000967.871 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000967.871 * * [misc]simplify: iters left: 6 (12 enodes) 1544000967.873 * * [misc]simplify: iters left: 5 (17 enodes) 1544000967.875 * * [misc]simplify: iters left: 4 (20 enodes) 1544000967.878 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000967.878 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544000967.878 * * * * [misc]progress: [ 242 / 443 ] simplifiying candidate # 1544000967.878 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 1544000967.878 * * [misc]simplify: iters left: 6 (13 enodes) 1544000967.880 * * [misc]simplify: iters left: 5 (19 enodes) 1544000967.883 * * [misc]simplify: iters left: 4 (24 enodes) 1544000967.886 * * [misc]simplify: iters left: 3 (27 enodes) 1544000967.889 * * [misc]simplify: iters left: 2 (33 enodes) 1544000967.893 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000967.894 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544000967.894 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000967.894 * * [misc]simplify: iters left: 6 (13 enodes) 1544000967.896 * * [misc]simplify: iters left: 5 (18 enodes) 1544000967.901 * * [misc]simplify: iters left: 4 (21 enodes) 1544000967.907 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000967.907 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (pow PI (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))))) 1544000967.907 * * * * [misc]progress: [ 243 / 443 ] simplifiying candidate # 1544000967.907 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1) 1544000967.907 * * [misc]simplify: iters left: 6 (13 enodes) 1544000967.911 * * [misc]simplify: iters left: 5 (21 enodes) 1544000967.916 * * [misc]simplify: iters left: 4 (26 enodes) 1544000967.920 * * [misc]simplify: iters left: 3 (31 enodes) 1544000967.923 * * [misc]simplify: iters left: 2 (36 enodes) 1544000967.927 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000967.927 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (/ (- k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544000967.927 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000967.927 * * [misc]simplify: iters left: 6 (12 enodes) 1544000967.929 * * [misc]simplify: iters left: 5 (17 enodes) 1544000967.931 * * [misc]simplify: iters left: 4 (20 enodes) 1544000967.934 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000967.934 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (/ (- k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544000967.934 * * * * [misc]progress: [ 244 / 443 ] simplifiying candidate # 1544000967.934 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000967.934 * * [misc]simplify: iters left: 6 (15 enodes) 1544000967.937 * * [misc]simplify: iters left: 5 (22 enodes) 1544000967.941 * * [misc]simplify: iters left: 4 (28 enodes) 1544000967.944 * * [misc]simplify: iters left: 3 (33 enodes) 1544000967.948 * * [misc]simplify: iters left: 2 (34 enodes) 1544000967.952 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000967.952 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (pow PI (/ (- k) 2)) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))) 1544000967.953 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544000967.953 * * [misc]simplify: iters left: 6 (14 enodes) 1544000967.955 * * [misc]simplify: iters left: 5 (19 enodes) 1544000967.957 * * [misc]simplify: iters left: 4 (22 enodes) 1544000967.960 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000967.960 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (pow PI (/ (- k) 2)) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k)))))))) 1544000967.960 * * * * [misc]progress: [ 245 / 443 ] simplifiying candidate # 1544000967.961 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544000967.961 * * [misc]simplify: iters left: 6 (12 enodes) 1544000967.962 * * [misc]simplify: iters left: 5 (17 enodes) 1544000967.965 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544000967.965 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (/ (- k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))) 1544000967.965 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544000967.965 * * [misc]simplify: iters left: 6 (12 enodes) 1544000967.967 * * [misc]simplify: iters left: 5 (17 enodes) 1544000967.971 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) 1544000967.971 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (/ (- k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k)))))) 1544000967.971 * * * * [misc]progress: [ 246 / 443 ] simplifiying candidate # 1544000967.971 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 1544000967.972 * * [misc]simplify: iters left: 6 (14 enodes) 1544000967.975 * * [misc]simplify: iters left: 5 (19 enodes) 1544000967.980 * * [misc]simplify: iters left: 4 (22 enodes) 1544000967.983 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544000967.983 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (/ (- k) 2)) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544000967.983 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000967.983 * * [misc]simplify: iters left: 6 (14 enodes) 1544000967.985 * * [misc]simplify: iters left: 5 (19 enodes) 1544000967.987 * * [misc]simplify: iters left: 4 (22 enodes) 1544000967.990 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544000967.990 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (/ (- k) 2)) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k)))))))) 1544000967.991 * * * * [misc]progress: [ 247 / 443 ] simplifiying candidate # 1544000967.991 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt 1)) 1544000967.991 * * [misc]simplify: iters left: 6 (14 enodes) 1544000967.993 * * [misc]simplify: iters left: 5 (21 enodes) 1544000967.997 * * [misc]simplify: iters left: 4 (24 enodes) 1544000968.000 * * [misc]simplify: iters left: 3 (28 enodes) 1544000968.003 * * [misc]simplify: iters left: 2 (29 enodes) 1544000968.006 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (fabs (cbrt (sqrt k)))) 1544000968.006 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (/ (- k) 2)) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k)))))) 1544000968.006 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 1544000968.006 * * [misc]simplify: iters left: 6 (13 enodes) 1544000968.009 * * [misc]simplify: iters left: 5 (18 enodes) 1544000968.014 * * [misc]simplify: iters left: 4 (21 enodes) 1544000968.017 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt k)) (sqrt (cbrt (sqrt k))))) 1544000968.017 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (/ (- k) 2)) (fabs (cbrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt k)) (sqrt (cbrt (sqrt k)))))))) 1544000968.017 * * * * [misc]progress: [ 248 / 443 ] simplifiying candidate # 1544000968.018 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 1544000968.018 * * [misc]simplify: iters left: 6 (14 enodes) 1544000968.020 * * [misc]simplify: iters left: 5 (19 enodes) 1544000968.022 * * [misc]simplify: iters left: 4 (22 enodes) 1544000968.026 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544000968.026 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (/ (- k) 2)) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544000968.026 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000968.027 * * [misc]simplify: iters left: 6 (14 enodes) 1544000968.029 * * [misc]simplify: iters left: 5 (19 enodes) 1544000968.031 * * [misc]simplify: iters left: 4 (22 enodes) 1544000968.034 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544000968.034 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (/ (- k) 2)) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k)))))))) 1544000968.034 * * * * [misc]progress: [ 249 / 443 ] simplifiying candidate # 1544000968.034 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1) 1544000968.034 * * [misc]simplify: iters left: 6 (13 enodes) 1544000968.036 * * [misc]simplify: iters left: 5 (20 enodes) 1544000968.039 * * [misc]simplify: iters left: 4 (23 enodes) 1544000968.042 * * [misc]simplify: iters left: 3 (28 enodes) 1544000968.045 * * [misc]simplify: iters left: 2 (29 enodes) 1544000968.048 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (fabs (cbrt (sqrt k)))) 1544000968.048 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (/ (- k) 2)) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k)))))) 1544000968.048 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 1544000968.048 * * [misc]simplify: iters left: 6 (13 enodes) 1544000968.050 * * [misc]simplify: iters left: 5 (18 enodes) 1544000968.052 * * [misc]simplify: iters left: 4 (21 enodes) 1544000968.055 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt k)) (sqrt (cbrt (sqrt k))))) 1544000968.055 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (/ (- k) 2)) (fabs (cbrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt k)) (sqrt (cbrt (sqrt k)))))))) 1544000968.055 * * * * [misc]progress: [ 250 / 443 ] simplifiying candidate # 1544000968.055 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000968.055 * * [misc]simplify: iters left: 6 (13 enodes) 1544000968.057 * * [misc]simplify: iters left: 5 (19 enodes) 1544000968.060 * * [misc]simplify: iters left: 4 (25 enodes) 1544000968.063 * * [misc]simplify: iters left: 3 (30 enodes) 1544000968.066 * * [misc]simplify: iters left: 2 (31 enodes) 1544000968.070 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000968.070 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))) 1544000968.070 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544000968.070 * * [misc]simplify: iters left: 6 (13 enodes) 1544000968.072 * * [misc]simplify: iters left: 5 (18 enodes) 1544000968.075 * * [misc]simplify: iters left: 4 (21 enodes) 1544000968.077 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544000968.077 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (pow PI (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))))) 1544000968.077 * * * * [misc]progress: [ 251 / 443 ] simplifiying candidate # 1544000968.078 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544000968.078 * * [misc]simplify: iters left: 6 (14 enodes) 1544000968.080 * * [misc]simplify: iters left: 5 (19 enodes) 1544000968.085 * * [misc]simplify: iters left: 4 (22 enodes) 1544000968.091 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000968.092 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (pow PI (/ (- k) 2)) (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))) 1544000968.092 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544000968.092 * * [misc]simplify: iters left: 6 (14 enodes) 1544000968.096 * * [misc]simplify: iters left: 5 (19 enodes) 1544000968.101 * * [misc]simplify: iters left: 4 (22 enodes) 1544000968.107 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) 1544000968.107 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (pow PI (/ (- k) 2)) (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))))) 1544000968.107 * * * * [misc]progress: [ 252 / 443 ] simplifiying candidate # 1544000968.107 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000968.108 * * [misc]simplify: iters left: 6 (11 enodes) 1544000968.111 * * [misc]simplify: iters left: 5 (15 enodes) 1544000968.115 * [exit]simplify: Simplified to (/ (pow PI (- (/ k 2))) (sqrt (sqrt k))) 1544000968.115 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (- (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544000968.115 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000968.115 * * [misc]simplify: iters left: 6 (12 enodes) 1544000968.120 * * [misc]simplify: iters left: 5 (17 enodes) 1544000968.125 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) 1544000968.125 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (- (/ k 2))) (sqrt (sqrt k))) (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k)))))) 1544000968.126 * * * * [misc]progress: [ 253 / 443 ] simplifiying candidate # 1544000968.126 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt 1)) 1544000968.126 * * [misc]simplify: iters left: 6 (13 enodes) 1544000968.131 * * [misc]simplify: iters left: 5 (19 enodes) 1544000968.136 * * [misc]simplify: iters left: 4 (22 enodes) 1544000968.142 * * [misc]simplify: iters left: 3 (26 enodes) 1544000968.147 * * [misc]simplify: iters left: 2 (27 enodes) 1544000968.152 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) 1544000968.152 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544000968.152 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000968.152 * * [misc]simplify: iters left: 6 (12 enodes) 1544000968.156 * * [misc]simplify: iters left: 5 (17 enodes) 1544000968.161 * * [misc]simplify: iters left: 4 (20 enodes) 1544000968.167 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000968.167 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544000968.167 * * * * [misc]progress: [ 254 / 443 ] simplifiying candidate # 1544000968.167 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000968.167 * * [misc]simplify: iters left: 6 (11 enodes) 1544000968.170 * * [misc]simplify: iters left: 5 (15 enodes) 1544000968.175 * [exit]simplify: Simplified to (/ (pow PI (- (/ k 2))) (sqrt (sqrt k))) 1544000968.175 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (- (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544000968.175 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000968.175 * * [misc]simplify: iters left: 6 (12 enodes) 1544000968.179 * * [misc]simplify: iters left: 5 (17 enodes) 1544000968.184 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) 1544000968.184 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (- (/ k 2))) (sqrt (sqrt k))) (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k)))))) 1544000968.184 * * * * [misc]progress: [ 255 / 443 ] simplifiying candidate # 1544000968.184 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (sqrt (sqrt k)))) 1) 1544000968.184 * * [misc]simplify: iters left: 6 (12 enodes) 1544000968.188 * * [misc]simplify: iters left: 5 (18 enodes) 1544000968.192 * * [misc]simplify: iters left: 4 (21 enodes) 1544000968.198 * * [misc]simplify: iters left: 3 (25 enodes) 1544000968.203 * * [misc]simplify: iters left: 2 (26 enodes) 1544000968.208 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) 1544000968.208 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544000968.208 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000968.208 * * [misc]simplify: iters left: 6 (12 enodes) 1544000968.212 * * [misc]simplify: iters left: 5 (17 enodes) 1544000968.216 * * [misc]simplify: iters left: 4 (20 enodes) 1544000968.222 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000968.222 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544000968.222 * * * * [misc]progress: [ 256 / 443 ] simplifiying candidate # 1544000968.222 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt 1)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000968.223 * * [misc]simplify: iters left: 6 (14 enodes) 1544000968.227 * * [misc]simplify: iters left: 5 (22 enodes) 1544000968.233 * * [misc]simplify: iters left: 4 (27 enodes) 1544000968.242 * * [misc]simplify: iters left: 3 (41 enodes) 1544000968.251 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544000968.251 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 1544000968.251 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544000968.251 * * [misc]simplify: iters left: 6 (12 enodes) 1544000968.255 * * [misc]simplify: iters left: 5 (17 enodes) 1544000968.260 * * [misc]simplify: iters left: 4 (20 enodes) 1544000968.265 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544000968.265 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 1544000968.265 * * * * [misc]progress: [ 257 / 443 ] simplifiying candidate # 1544000968.265 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt 1)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544000968.266 * * [misc]simplify: iters left: 6 (14 enodes) 1544000968.270 * * [misc]simplify: iters left: 5 (21 enodes) 1544000968.277 * * [misc]simplify: iters left: 4 (22 enodes) 1544000968.284 * * [misc]simplify: iters left: 3 (26 enodes) 1544000968.289 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (fabs (cbrt (sqrt k)))) 1544000968.289 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (/ (- k) 2)) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 1544000968.289 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544000968.290 * * [misc]simplify: iters left: 6 (13 enodes) 1544000968.292 * * [misc]simplify: iters left: 5 (18 enodes) 1544000968.295 * * [misc]simplify: iters left: 4 (21 enodes) 1544000968.298 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544000968.298 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (/ (- k) 2)) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 1544000968.298 * * * * [misc]progress: [ 258 / 443 ] simplifiying candidate # 1544000968.299 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt 1)) (sqrt (sqrt (sqrt k)))) 1544000968.299 * * [misc]simplify: iters left: 6 (13 enodes) 1544000968.301 * * [misc]simplify: iters left: 5 (19 enodes) 1544000968.303 * * [misc]simplify: iters left: 4 (20 enodes) 1544000968.306 * * [misc]simplify: iters left: 3 (24 enodes) 1544000968.309 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) 1544000968.309 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544000968.309 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544000968.309 * * [misc]simplify: iters left: 6 (12 enodes) 1544000968.311 * * [misc]simplify: iters left: 5 (17 enodes) 1544000968.313 * * [misc]simplify: iters left: 4 (20 enodes) 1544000968.316 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544000968.316 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544000968.316 * * * * [misc]progress: [ 259 / 443 ] simplifiying candidate # 1544000968.316 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt 1)) (sqrt 1)) 1544000968.316 * * [misc]simplify: iters left: 6 (10 enodes) 1544000968.318 * * [misc]simplify: iters left: 5 (16 enodes) 1544000968.320 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1544000968.320 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (pow PI (/ (- k) 2)) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))) 1544000968.320 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544000968.320 * * [misc]simplify: iters left: 6 (11 enodes) 1544000968.322 * * [misc]simplify: iters left: 5 (16 enodes) 1544000968.324 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1544000968.324 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (pow PI (/ (- k) 2)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k))))) 1544000968.324 * * * * [misc]progress: [ 260 / 443 ] simplifiying candidate # 1544000968.324 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt 1)) (sqrt (sqrt (sqrt k)))) 1544000968.324 * * [misc]simplify: iters left: 6 (13 enodes) 1544000968.326 * * [misc]simplify: iters left: 5 (19 enodes) 1544000968.330 * * [misc]simplify: iters left: 4 (20 enodes) 1544000968.336 * * [misc]simplify: iters left: 3 (24 enodes) 1544000968.341 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) 1544000968.341 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544000968.341 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544000968.341 * * [misc]simplify: iters left: 6 (12 enodes) 1544000968.345 * * [misc]simplify: iters left: 5 (17 enodes) 1544000968.349 * * [misc]simplify: iters left: 4 (20 enodes) 1544000968.355 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544000968.355 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544000968.355 * * * * [misc]progress: [ 261 / 443 ] simplifiying candidate # 1544000968.356 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt 1)) 1) 1544000968.356 * * [misc]simplify: iters left: 6 (10 enodes) 1544000968.360 * * [misc]simplify: iters left: 5 (16 enodes) 1544000968.363 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1544000968.364 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (pow PI (/ (- k) 2)) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))) 1544000968.364 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544000968.364 * * [misc]simplify: iters left: 6 (11 enodes) 1544000968.367 * * [misc]simplify: iters left: 5 (16 enodes) 1544000968.372 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1544000968.372 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (pow PI (/ (- k) 2)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k))))) 1544000968.372 * * * * [misc]progress: [ 262 / 443 ] simplifiying candidate # 1544000968.372 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000968.373 * * [misc]simplify: iters left: 6 (13 enodes) 1544000968.376 * * [misc]simplify: iters left: 5 (19 enodes) 1544000968.382 * * [misc]simplify: iters left: 4 (25 enodes) 1544000968.388 * * [misc]simplify: iters left: 3 (30 enodes) 1544000968.398 * * [misc]simplify: iters left: 2 (31 enodes) 1544000968.405 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000968.405 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))) 1544000968.405 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544000968.405 * * [misc]simplify: iters left: 6 (13 enodes) 1544000968.407 * * [misc]simplify: iters left: 5 (18 enodes) 1544000968.409 * * [misc]simplify: iters left: 4 (21 enodes) 1544000968.412 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544000968.412 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (pow PI (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))))) 1544000968.412 * * * * [misc]progress: [ 263 / 443 ] simplifiying candidate # 1544000968.412 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544000968.412 * * [misc]simplify: iters left: 6 (14 enodes) 1544000968.414 * * [misc]simplify: iters left: 5 (19 enodes) 1544000968.417 * * [misc]simplify: iters left: 4 (22 enodes) 1544000968.420 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000968.420 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (pow PI (/ (- k) 2)) (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))) 1544000968.420 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544000968.420 * * [misc]simplify: iters left: 6 (14 enodes) 1544000968.422 * * [misc]simplify: iters left: 5 (19 enodes) 1544000968.424 * * [misc]simplify: iters left: 4 (22 enodes) 1544000968.427 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) 1544000968.427 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (pow PI (/ (- k) 2)) (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))))) 1544000968.427 * * * * [misc]progress: [ 264 / 443 ] simplifiying candidate # 1544000968.427 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000968.428 * * [misc]simplify: iters left: 6 (11 enodes) 1544000968.429 * * [misc]simplify: iters left: 5 (15 enodes) 1544000968.431 * [exit]simplify: Simplified to (/ (pow PI (- (/ k 2))) (sqrt (sqrt k))) 1544000968.431 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (- (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544000968.431 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000968.431 * * [misc]simplify: iters left: 6 (12 enodes) 1544000968.433 * * [misc]simplify: iters left: 5 (17 enodes) 1544000968.436 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) 1544000968.436 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (- (/ k 2))) (sqrt (sqrt k))) (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k)))))) 1544000968.436 * * * * [misc]progress: [ 265 / 443 ] simplifiying candidate # 1544000968.436 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt 1)) 1544000968.436 * * [misc]simplify: iters left: 6 (13 enodes) 1544000968.438 * * [misc]simplify: iters left: 5 (19 enodes) 1544000968.441 * * [misc]simplify: iters left: 4 (22 enodes) 1544000968.444 * * [misc]simplify: iters left: 3 (26 enodes) 1544000968.446 * * [misc]simplify: iters left: 2 (27 enodes) 1544000968.448 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) 1544000968.448 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544000968.448 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000968.449 * * [misc]simplify: iters left: 6 (12 enodes) 1544000968.450 * * [misc]simplify: iters left: 5 (17 enodes) 1544000968.452 * * [misc]simplify: iters left: 4 (20 enodes) 1544000968.455 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000968.455 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544000968.455 * * * * [misc]progress: [ 266 / 443 ] simplifiying candidate # 1544000968.456 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000968.456 * * [misc]simplify: iters left: 6 (11 enodes) 1544000968.458 * * [misc]simplify: iters left: 5 (15 enodes) 1544000968.460 * [exit]simplify: Simplified to (/ (pow PI (- (/ k 2))) (sqrt (sqrt k))) 1544000968.460 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (- (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544000968.460 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000968.460 * * [misc]simplify: iters left: 6 (12 enodes) 1544000968.462 * * [misc]simplify: iters left: 5 (17 enodes) 1544000968.464 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) 1544000968.464 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (- (/ k 2))) (sqrt (sqrt k))) (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k)))))) 1544000968.464 * * * * [misc]progress: [ 267 / 443 ] simplifiying candidate # 1544000968.464 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (sqrt (sqrt k)))) 1) 1544000968.465 * * [misc]simplify: iters left: 6 (12 enodes) 1544000968.466 * * [misc]simplify: iters left: 5 (18 enodes) 1544000968.469 * * [misc]simplify: iters left: 4 (21 enodes) 1544000968.472 * * [misc]simplify: iters left: 3 (25 enodes) 1544000968.477 * * [misc]simplify: iters left: 2 (26 enodes) 1544000968.486 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) 1544000968.486 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544000968.486 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000968.486 * * [misc]simplify: iters left: 6 (12 enodes) 1544000968.490 * * [misc]simplify: iters left: 5 (17 enodes) 1544000968.495 * * [misc]simplify: iters left: 4 (20 enodes) 1544000968.501 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000968.501 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544000968.501 * * * * [misc]progress: [ 268 / 443 ] simplifiying candidate # 1544000968.501 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000968.501 * * [misc]simplify: iters left: 6 (13 enodes) 1544000968.505 * * [misc]simplify: iters left: 5 (21 enodes) 1544000968.512 * * [misc]simplify: iters left: 4 (29 enodes) 1544000968.519 * * [misc]simplify: iters left: 3 (38 enodes) 1544000968.529 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000968.529 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (/ (- k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 1544000968.529 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544000968.529 * * [misc]simplify: iters left: 6 (12 enodes) 1544000968.533 * * [misc]simplify: iters left: 5 (17 enodes) 1544000968.537 * * [misc]simplify: iters left: 4 (20 enodes) 1544000968.543 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544000968.543 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (/ (- k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 1544000968.543 * * * * [misc]progress: [ 269 / 443 ] simplifiying candidate # 1544000968.543 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544000968.543 * * [misc]simplify: iters left: 6 (13 enodes) 1544000968.548 * * [misc]simplify: iters left: 5 (20 enodes) 1544000968.553 * * [misc]simplify: iters left: 4 (24 enodes) 1544000968.559 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (fabs (cbrt (sqrt k)))) 1544000968.559 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (/ (- k) 2)) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 1544000968.559 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544000968.560 * * [misc]simplify: iters left: 6 (13 enodes) 1544000968.564 * * [misc]simplify: iters left: 5 (18 enodes) 1544000968.569 * * [misc]simplify: iters left: 4 (21 enodes) 1544000968.575 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544000968.575 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (/ (- k) 2)) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 1544000968.575 * * * * [misc]progress: [ 270 / 443 ] simplifiying candidate # 1544000968.576 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) 1) (sqrt (sqrt (sqrt k)))) 1544000968.576 * * [misc]simplify: iters left: 6 (12 enodes) 1544000968.579 * * [misc]simplify: iters left: 5 (18 enodes) 1544000968.585 * * [misc]simplify: iters left: 4 (23 enodes) 1544000968.590 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) 1544000968.590 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544000968.590 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544000968.590 * * [misc]simplify: iters left: 6 (12 enodes) 1544000968.594 * * [misc]simplify: iters left: 5 (17 enodes) 1544000968.599 * * [misc]simplify: iters left: 4 (20 enodes) 1544000968.604 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544000968.604 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544000968.604 * * * * [misc]progress: [ 271 / 443 ] simplifiying candidate # 1544000968.605 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) 1) (sqrt 1)) 1544000968.605 * * [misc]simplify: iters left: 6 (10 enodes) 1544000968.609 * * [misc]simplify: iters left: 5 (16 enodes) 1544000968.613 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1544000968.613 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (pow PI (/ (- k) 2)) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))) 1544000968.613 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544000968.613 * * [misc]simplify: iters left: 6 (11 enodes) 1544000968.616 * * [misc]simplify: iters left: 5 (16 enodes) 1544000968.621 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1544000968.621 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (pow PI (/ (- k) 2)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k))))) 1544000968.621 * * * * [misc]progress: [ 272 / 443 ] simplifiying candidate # 1544000968.621 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) 1) (sqrt (sqrt (sqrt k)))) 1544000968.622 * * [misc]simplify: iters left: 6 (12 enodes) 1544000968.624 * * [misc]simplify: iters left: 5 (18 enodes) 1544000968.627 * * [misc]simplify: iters left: 4 (23 enodes) 1544000968.630 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) 1544000968.630 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544000968.630 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544000968.630 * * [misc]simplify: iters left: 6 (12 enodes) 1544000968.633 * * [misc]simplify: iters left: 5 (17 enodes) 1544000968.635 * * [misc]simplify: iters left: 4 (20 enodes) 1544000968.638 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544000968.638 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544000968.638 * * * * [misc]progress: [ 273 / 443 ] simplifiying candidate # 1544000968.638 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) 1) 1) 1544000968.638 * * [misc]simplify: iters left: 6 (9 enodes) 1544000968.639 * * [misc]simplify: iters left: 5 (13 enodes) 1544000968.641 * [exit]simplify: Simplified to (pow PI (- (/ k 2))) 1544000968.641 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (pow PI (- (/ k 2))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))) 1544000968.641 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544000968.641 * * [misc]simplify: iters left: 6 (11 enodes) 1544000968.643 * * [misc]simplify: iters left: 5 (16 enodes) 1544000968.645 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1544000968.645 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (pow PI (- (/ k 2))) (/ (pow (* n 2) (- (/ k 2))) (sqrt k))))) 1544000968.645 * * * * [misc]progress: [ 274 / 443 ] simplifiying candidate # 1544000968.645 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000968.645 * * [misc]simplify: iters left: 6 (17 enodes) 1544000968.648 * * [misc]simplify: iters left: 5 (33 enodes) 1544000968.654 * * [misc]simplify: iters left: 4 (64 enodes) 1544000968.675 * * [misc]simplify: iters left: 3 (102 enodes) 1544000968.697 * * [misc]simplify: iters left: 2 (137 enodes) 1544000968.728 * * [misc]simplify: iters left: 1 (150 enodes) 1544000968.769 * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))))) 1544000968.769 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))) 1544000968.770 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544000968.770 * * [misc]simplify: iters left: 6 (15 enodes) 1544000968.775 * * [misc]simplify: iters left: 5 (23 enodes) 1544000968.781 * * [misc]simplify: iters left: 4 (29 enodes) 1544000968.789 * * [misc]simplify: iters left: 3 (30 enodes) 1544000968.796 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000968.796 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))))) 1544000968.796 * * * * [misc]progress: [ 275 / 443 ] simplifiying candidate # 1544000968.796 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544000968.796 * * [misc]simplify: iters left: 6 (20 enodes) 1544000968.799 * * [misc]simplify: iters left: 5 (35 enodes) 1544000968.804 * * [misc]simplify: iters left: 4 (61 enodes) 1544000968.813 * * [misc]simplify: iters left: 3 (93 enodes) 1544000968.827 * * [misc]simplify: iters left: 2 (127 enodes) 1544000968.852 * * [misc]simplify: iters left: 1 (144 enodes) 1544000968.898 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (* (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))) 1544000968.898 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (* (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))) 1544000968.899 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544000968.899 * * [misc]simplify: iters left: 6 (17 enodes) 1544000968.904 * * [misc]simplify: iters left: 5 (25 enodes) 1544000968.911 * * [misc]simplify: iters left: 4 (34 enodes) 1544000968.920 * * [misc]simplify: iters left: 3 (36 enodes) 1544000968.929 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000968.929 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (* (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k)))))))) 1544000968.929 * * * * [misc]progress: [ 276 / 443 ] simplifiying candidate # 1544000968.929 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 1544000968.929 * * [misc]simplify: iters left: 6 (18 enodes) 1544000968.935 * * [misc]simplify: iters left: 5 (32 enodes) 1544000968.945 * * [misc]simplify: iters left: 4 (58 enodes) 1544000968.962 * * [misc]simplify: iters left: 3 (90 enodes) 1544000968.991 * * [misc]simplify: iters left: 2 (123 enodes) 1544000969.027 * * [misc]simplify: iters left: 1 (142 enodes) 1544000969.064 * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))))) 1544000969.064 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544000969.064 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000969.064 * * [misc]simplify: iters left: 6 (16 enodes) 1544000969.067 * * [misc]simplify: iters left: 5 (24 enodes) 1544000969.070 * * [misc]simplify: iters left: 4 (33 enodes) 1544000969.075 * * [misc]simplify: iters left: 3 (35 enodes) 1544000969.079 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544000969.079 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))))) 1544000969.079 * * * * [misc]progress: [ 277 / 443 ] simplifiying candidate # 1544000969.080 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt 1)) 1544000969.080 * * [misc]simplify: iters left: 6 (19 enodes) 1544000969.084 * * [misc]simplify: iters left: 5 (35 enodes) 1544000969.089 * * [misc]simplify: iters left: 4 (58 enodes) 1544000969.098 * * [misc]simplify: iters left: 3 (94 enodes) 1544000969.127 * * [misc]simplify: iters left: 2 (289 enodes) 1544000969.273 * * [misc]simplify: iters left: 1 (391 enodes) 1544000969.312 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt (sqrt k))))) 1544000969.313 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544000969.313 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000969.313 * * [misc]simplify: iters left: 6 (15 enodes) 1544000969.318 * * [misc]simplify: iters left: 5 (23 enodes) 1544000969.324 * * [misc]simplify: iters left: 4 (32 enodes) 1544000969.333 * * [misc]simplify: iters left: 3 (33 enodes) 1544000969.341 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) 1544000969.341 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k)))))))) 1544000969.341 * * * * [misc]progress: [ 278 / 443 ] simplifiying candidate # 1544000969.341 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 1544000969.342 * * [misc]simplify: iters left: 6 (18 enodes) 1544000969.345 * * [misc]simplify: iters left: 5 (32 enodes) 1544000969.350 * * [misc]simplify: iters left: 4 (58 enodes) 1544000969.359 * * [misc]simplify: iters left: 3 (90 enodes) 1544000969.374 * * [misc]simplify: iters left: 2 (123 enodes) 1544000969.400 * * [misc]simplify: iters left: 1 (142 enodes) 1544000969.444 * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))))) 1544000969.444 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544000969.444 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000969.444 * * [misc]simplify: iters left: 6 (16 enodes) 1544000969.447 * * [misc]simplify: iters left: 5 (24 enodes) 1544000969.450 * * [misc]simplify: iters left: 4 (33 enodes) 1544000969.455 * * [misc]simplify: iters left: 3 (35 enodes) 1544000969.459 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544000969.459 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))))) 1544000969.459 * * * * [misc]progress: [ 279 / 443 ] simplifiying candidate # 1544000969.459 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1) 1544000969.459 * * [misc]simplify: iters left: 6 (18 enodes) 1544000969.462 * * [misc]simplify: iters left: 5 (34 enodes) 1544000969.468 * * [misc]simplify: iters left: 4 (59 enodes) 1544000969.477 * * [misc]simplify: iters left: 3 (99 enodes) 1544000969.499 * * [misc]simplify: iters left: 2 (282 enodes) 1544000969.678 * * [misc]simplify: iters left: 1 (365 enodes) 1544000969.738 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt (sqrt k))))) 1544000969.738 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544000969.738 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000969.738 * * [misc]simplify: iters left: 6 (15 enodes) 1544000969.743 * * [misc]simplify: iters left: 5 (23 enodes) 1544000969.750 * * [misc]simplify: iters left: 4 (32 enodes) 1544000969.758 * * [misc]simplify: iters left: 3 (33 enodes) 1544000969.766 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) 1544000969.766 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k)))))))) 1544000969.766 * * * * [misc]progress: [ 280 / 443 ] simplifiying candidate # 1544000969.767 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000969.767 * * [misc]simplify: iters left: 6 (20 enodes) 1544000969.770 * * [misc]simplify: iters left: 5 (33 enodes) 1544000969.775 * * [misc]simplify: iters left: 4 (53 enodes) 1544000969.783 * * [misc]simplify: iters left: 3 (89 enodes) 1544000969.798 * * [misc]simplify: iters left: 2 (130 enodes) 1544000969.837 * * [misc]simplify: iters left: 1 (149 enodes) 1544000969.885 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (* (fabs (cbrt (sqrt k))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1544000969.885 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (* (fabs (cbrt (sqrt k))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))) 1544000969.885 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544000969.885 * * [misc]simplify: iters left: 6 (17 enodes) 1544000969.890 * * [misc]simplify: iters left: 5 (25 enodes) 1544000969.897 * * [misc]simplify: iters left: 4 (34 enodes) 1544000969.906 * * [misc]simplify: iters left: 3 (36 enodes) 1544000969.915 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) 1544000969.915 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (* (fabs (cbrt (sqrt k))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))))) 1544000969.915 * * * * [misc]progress: [ 281 / 443 ] simplifiying candidate # 1544000969.916 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544000969.916 * * [misc]simplify: iters left: 6 (17 enodes) 1544000969.922 * * [misc]simplify: iters left: 5 (28 enodes) 1544000969.926 * * [misc]simplify: iters left: 4 (39 enodes) 1544000969.932 * * [misc]simplify: iters left: 3 (52 enodes) 1544000969.939 * * [misc]simplify: iters left: 2 (63 enodes) 1544000969.946 * * [misc]simplify: iters left: 1 (66 enodes) 1544000969.954 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt k)))) 1544000969.954 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt k)))) (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))) 1544000969.954 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544000969.954 * * [misc]simplify: iters left: 6 (15 enodes) 1544000969.956 * * [misc]simplify: iters left: 5 (23 enodes) 1544000969.960 * * [misc]simplify: iters left: 4 (29 enodes) 1544000969.967 * * [misc]simplify: iters left: 3 (31 enodes) 1544000969.975 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt k))) 1544000969.975 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt k)))))) 1544000969.975 * * * * [misc]progress: [ 282 / 443 ] simplifiying candidate # 1544000969.976 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 1544000969.976 * * [misc]simplify: iters left: 6 (19 enodes) 1544000969.982 * * [misc]simplify: iters left: 5 (30 enodes) 1544000969.990 * * [misc]simplify: iters left: 4 (45 enodes) 1544000970.003 * * [misc]simplify: iters left: 3 (59 enodes) 1544000970.018 * * [misc]simplify: iters left: 2 (67 enodes) 1544000970.034 * * [misc]simplify: iters left: 1 (70 enodes) 1544000970.053 * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))))) 1544000970.053 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544000970.053 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000970.053 * * [misc]simplify: iters left: 6 (17 enodes) 1544000970.058 * * [misc]simplify: iters left: 5 (25 enodes) 1544000970.065 * * [misc]simplify: iters left: 4 (34 enodes) 1544000970.074 * * [misc]simplify: iters left: 3 (36 enodes) 1544000970.083 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) 1544000970.084 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))))) 1544000970.084 * * * * [misc]progress: [ 283 / 443 ] simplifiying candidate # 1544000970.084 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt 1)) 1544000970.084 * * [misc]simplify: iters left: 6 (19 enodes) 1544000970.091 * * [misc]simplify: iters left: 5 (32 enodes) 1544000970.100 * * [misc]simplify: iters left: 4 (45 enodes) 1544000970.113 * * [misc]simplify: iters left: 3 (66 enodes) 1544000970.133 * * [misc]simplify: iters left: 2 (113 enodes) 1544000970.153 * * [misc]simplify: iters left: 1 (119 enodes) 1544000970.162 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (fabs (cbrt (sqrt k)))) 1544000970.162 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (fabs (cbrt (sqrt k)))) (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k)))))) 1544000970.162 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 1544000970.162 * * [misc]simplify: iters left: 6 (16 enodes) 1544000970.165 * * [misc]simplify: iters left: 5 (24 enodes) 1544000970.168 * * [misc]simplify: iters left: 4 (33 enodes) 1544000970.174 * * [misc]simplify: iters left: 3 (35 enodes) 1544000970.178 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))) 1544000970.178 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (fabs (cbrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k))))))) 1544000970.178 * * * * [misc]progress: [ 284 / 443 ] simplifiying candidate # 1544000970.178 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 1544000970.178 * * [misc]simplify: iters left: 6 (19 enodes) 1544000970.181 * * [misc]simplify: iters left: 5 (30 enodes) 1544000970.185 * * [misc]simplify: iters left: 4 (45 enodes) 1544000970.195 * * [misc]simplify: iters left: 3 (59 enodes) 1544000970.210 * * [misc]simplify: iters left: 2 (67 enodes) 1544000970.225 * * [misc]simplify: iters left: 1 (70 enodes) 1544000970.244 * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))))) 1544000970.244 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544000970.244 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000970.244 * * [misc]simplify: iters left: 6 (17 enodes) 1544000970.249 * * [misc]simplify: iters left: 5 (25 enodes) 1544000970.256 * * [misc]simplify: iters left: 4 (34 enodes) 1544000970.264 * * [misc]simplify: iters left: 3 (36 enodes) 1544000970.274 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) 1544000970.274 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))))) 1544000970.274 * * * * [misc]progress: [ 285 / 443 ] simplifiying candidate # 1544000970.274 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1) 1544000970.275 * * [misc]simplify: iters left: 6 (18 enodes) 1544000970.280 * * [misc]simplify: iters left: 5 (31 enodes) 1544000970.284 * * [misc]simplify: iters left: 4 (44 enodes) 1544000970.292 * * [misc]simplify: iters left: 3 (69 enodes) 1544000970.302 * * [misc]simplify: iters left: 2 (124 enodes) 1544000970.325 * * [misc]simplify: iters left: 1 (128 enodes) 1544000970.333 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (- (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- (/ k 2))))) (fabs (cbrt (sqrt k)))) 1544000970.333 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (* (cbrt (pow (* (* PI 2) n) (- (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- (/ k 2))))) (fabs (cbrt (sqrt k)))) (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k)))))) 1544000970.333 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 1544000970.334 * * [misc]simplify: iters left: 6 (16 enodes) 1544000970.336 * * [misc]simplify: iters left: 5 (24 enodes) 1544000970.339 * * [misc]simplify: iters left: 4 (33 enodes) 1544000970.344 * * [misc]simplify: iters left: 3 (35 enodes) 1544000970.348 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))) 1544000970.348 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (* (cbrt (pow (* (* PI 2) n) (- (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- (/ k 2))))) (fabs (cbrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k))))))) 1544000970.348 * * * * [misc]progress: [ 286 / 443 ] simplifiying candidate # 1544000970.348 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000970.348 * * [misc]simplify: iters left: 6 (18 enodes) 1544000970.351 * * [misc]simplify: iters left: 5 (30 enodes) 1544000970.360 * * [misc]simplify: iters left: 4 (50 enodes) 1544000970.371 * * [misc]simplify: iters left: 3 (86 enodes) 1544000970.385 * * [misc]simplify: iters left: 2 (125 enodes) 1544000970.413 * * [misc]simplify: iters left: 1 (145 enodes) 1544000970.459 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1544000970.459 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))) 1544000970.459 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544000970.460 * * [misc]simplify: iters left: 6 (16 enodes) 1544000970.465 * * [misc]simplify: iters left: 5 (24 enodes) 1544000970.471 * * [misc]simplify: iters left: 4 (33 enodes) 1544000970.480 * * [misc]simplify: iters left: 3 (35 enodes) 1544000970.489 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000970.489 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))))) 1544000970.489 * * * * [misc]progress: [ 287 / 443 ] simplifiying candidate # 1544000970.489 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544000970.489 * * [misc]simplify: iters left: 6 (19 enodes) 1544000970.497 * * [misc]simplify: iters left: 5 (30 enodes) 1544000970.502 * * [misc]simplify: iters left: 4 (45 enodes) 1544000970.508 * * [misc]simplify: iters left: 3 (59 enodes) 1544000970.516 * * [misc]simplify: iters left: 2 (67 enodes) 1544000970.527 * * [misc]simplify: iters left: 1 (70 enodes) 1544000970.545 * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (fabs (cbrt (sqrt k)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))))) 1544000970.545 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (fabs (cbrt (sqrt k)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))) 1544000970.546 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544000970.546 * * [misc]simplify: iters left: 6 (17 enodes) 1544000970.551 * * [misc]simplify: iters left: 5 (25 enodes) 1544000970.558 * * [misc]simplify: iters left: 4 (34 enodes) 1544000970.567 * * [misc]simplify: iters left: 3 (36 enodes) 1544000970.576 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544000970.576 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (fabs (cbrt (sqrt k)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k)))))))) 1544000970.576 * * * * [misc]progress: [ 288 / 443 ] simplifiying candidate # 1544000970.577 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000970.577 * * [misc]simplify: iters left: 6 (16 enodes) 1544000970.582 * * [misc]simplify: iters left: 5 (26 enodes) 1544000970.589 * * [misc]simplify: iters left: 4 (37 enodes) 1544000970.600 * * [misc]simplify: iters left: 3 (47 enodes) 1544000970.605 * * [misc]simplify: iters left: 2 (50 enodes) 1544000970.612 * * [misc]simplify: iters left: 1 (51 enodes) 1544000970.618 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k)))) 1544000970.618 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544000970.618 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000970.618 * * [misc]simplify: iters left: 6 (15 enodes) 1544000970.620 * * [misc]simplify: iters left: 5 (23 enodes) 1544000970.623 * * [misc]simplify: iters left: 4 (29 enodes) 1544000970.627 * * [misc]simplify: iters left: 3 (31 enodes) 1544000970.634 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) 1544000970.634 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k)))))) 1544000970.634 * * * * [misc]progress: [ 289 / 443 ] simplifiying candidate # 1544000970.635 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) (sqrt 1)) 1544000970.635 * * [misc]simplify: iters left: 6 (18 enodes) 1544000970.641 * * [misc]simplify: iters left: 5 (30 enodes) 1544000970.646 * * [misc]simplify: iters left: 4 (44 enodes) 1544000970.653 * * [misc]simplify: iters left: 3 (70 enodes) 1544000970.665 * * [misc]simplify: iters left: 2 (149 enodes) 1544000970.700 * * [misc]simplify: iters left: 1 (155 enodes) 1544000970.708 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) 1544000970.708 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544000970.708 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000970.708 * * [misc]simplify: iters left: 6 (15 enodes) 1544000970.711 * * [misc]simplify: iters left: 5 (23 enodes) 1544000970.715 * * [misc]simplify: iters left: 4 (32 enodes) 1544000970.722 * * [misc]simplify: iters left: 3 (33 enodes) 1544000970.730 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544000970.731 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k)))))))) 1544000970.731 * * * * [misc]progress: [ 290 / 443 ] simplifiying candidate # 1544000970.731 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000970.731 * * [misc]simplify: iters left: 6 (16 enodes) 1544000970.736 * * [misc]simplify: iters left: 5 (26 enodes) 1544000970.744 * * [misc]simplify: iters left: 4 (37 enodes) 1544000970.753 * * [misc]simplify: iters left: 3 (47 enodes) 1544000970.758 * * [misc]simplify: iters left: 2 (50 enodes) 1544000970.764 * * [misc]simplify: iters left: 1 (51 enodes) 1544000970.770 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k)))) 1544000970.770 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544000970.770 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000970.770 * * [misc]simplify: iters left: 6 (15 enodes) 1544000970.772 * * [misc]simplify: iters left: 5 (23 enodes) 1544000970.775 * * [misc]simplify: iters left: 4 (29 enodes) 1544000970.779 * * [misc]simplify: iters left: 3 (31 enodes) 1544000970.786 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) 1544000970.786 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k)))))) 1544000970.786 * * * * [misc]progress: [ 291 / 443 ] simplifiying candidate # 1544000970.786 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) 1) 1544000970.787 * * [misc]simplify: iters left: 6 (17 enodes) 1544000970.792 * * [misc]simplify: iters left: 5 (29 enodes) 1544000970.800 * * [misc]simplify: iters left: 4 (43 enodes) 1544000970.816 * * [misc]simplify: iters left: 3 (68 enodes) 1544000970.827 * * [misc]simplify: iters left: 2 (148 enodes) 1544000970.861 * * [misc]simplify: iters left: 1 (152 enodes) 1544000970.869 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) 1544000970.869 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544000970.869 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000970.869 * * [misc]simplify: iters left: 6 (15 enodes) 1544000970.872 * * [misc]simplify: iters left: 5 (23 enodes) 1544000970.875 * * [misc]simplify: iters left: 4 (32 enodes) 1544000970.879 * * [misc]simplify: iters left: 3 (33 enodes) 1544000970.883 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544000970.883 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k)))))))) 1544000970.883 * * * * [misc]progress: [ 292 / 443 ] simplifiying candidate # 1544000970.883 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt 1)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000970.883 * * [misc]simplify: iters left: 6 (19 enodes) 1544000970.887 * * [misc]simplify: iters left: 5 (33 enodes) 1544000970.897 * * [misc]simplify: iters left: 4 (53 enodes) 1544000970.914 * * [misc]simplify: iters left: 3 (89 enodes) 1544000970.939 * * [misc]simplify: iters left: 2 (161 enodes) 1544000971.003 * * [misc]simplify: iters left: 1 (269 enodes) 1544000971.052 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt (sqrt k))))) 1544000971.052 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 1544000971.052 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544000971.053 * * [misc]simplify: iters left: 6 (15 enodes) 1544000971.057 * * [misc]simplify: iters left: 5 (23 enodes) 1544000971.063 * * [misc]simplify: iters left: 4 (32 enodes) 1544000971.069 * * [misc]simplify: iters left: 3 (33 enodes) 1544000971.073 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) 1544000971.073 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k)))))))) 1544000971.073 * * * * [misc]progress: [ 293 / 443 ] simplifiying candidate # 1544000971.074 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt 1)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544000971.074 * * [misc]simplify: iters left: 6 (19 enodes) 1544000971.077 * * [misc]simplify: iters left: 5 (32 enodes) 1544000971.081 * * [misc]simplify: iters left: 4 (44 enodes) 1544000971.088 * * [misc]simplify: iters left: 3 (55 enodes) 1544000971.094 * * [misc]simplify: iters left: 2 (81 enodes) 1544000971.113 * * [misc]simplify: iters left: 1 (94 enodes) 1544000971.128 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))))) 1544000971.128 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 1544000971.128 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544000971.128 * * [misc]simplify: iters left: 6 (16 enodes) 1544000971.131 * * [misc]simplify: iters left: 5 (24 enodes) 1544000971.134 * * [misc]simplify: iters left: 4 (33 enodes) 1544000971.138 * * [misc]simplify: iters left: 3 (35 enodes) 1544000971.142 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))) 1544000971.142 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k))))))) 1544000971.142 * * * * [misc]progress: [ 294 / 443 ] simplifiying candidate # 1544000971.143 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt 1)) (sqrt (sqrt (sqrt k)))) 1544000971.143 * * [misc]simplify: iters left: 6 (18 enodes) 1544000971.146 * * [misc]simplify: iters left: 5 (30 enodes) 1544000971.153 * * [misc]simplify: iters left: 4 (44 enodes) 1544000971.165 * * [misc]simplify: iters left: 3 (65 enodes) 1544000971.186 * * [misc]simplify: iters left: 2 (153 enodes) 1544000971.239 * * [misc]simplify: iters left: 1 (158 enodes) 1544000971.255 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) 1544000971.255 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544000971.256 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544000971.256 * * [misc]simplify: iters left: 6 (15 enodes) 1544000971.260 * * [misc]simplify: iters left: 5 (23 enodes) 1544000971.265 * * [misc]simplify: iters left: 4 (32 enodes) 1544000971.269 * * [misc]simplify: iters left: 3 (33 enodes) 1544000971.273 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544000971.273 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k)))))))) 1544000971.273 * * * * [misc]progress: [ 295 / 443 ] simplifiying candidate # 1544000971.273 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt 1)) (sqrt 1)) 1544000971.273 * * [misc]simplify: iters left: 6 (15 enodes) 1544000971.276 * * [misc]simplify: iters left: 5 (27 enodes) 1544000971.280 * * [misc]simplify: iters left: 4 (38 enodes) 1544000971.285 * * [misc]simplify: iters left: 3 (39 enodes) 1544000971.288 * * [misc]simplify: iters left: 2 (42 enodes) 1544000971.293 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) 1544000971.293 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k)))))) 1544000971.293 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544000971.293 * * [misc]simplify: iters left: 6 (14 enodes) 1544000971.297 * * [misc]simplify: iters left: 5 (22 enodes) 1544000971.304 * * [misc]simplify: iters left: 4 (28 enodes) 1544000971.309 * * [misc]simplify: iters left: 3 (30 enodes) 1544000971.313 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k)) 1544000971.313 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k))))) 1544000971.313 * * * * [misc]progress: [ 296 / 443 ] simplifiying candidate # 1544000971.313 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt 1)) (sqrt (sqrt (sqrt k)))) 1544000971.313 * * [misc]simplify: iters left: 6 (18 enodes) 1544000971.316 * * [misc]simplify: iters left: 5 (30 enodes) 1544000971.320 * * [misc]simplify: iters left: 4 (44 enodes) 1544000971.326 * * [misc]simplify: iters left: 3 (65 enodes) 1544000971.341 * * [misc]simplify: iters left: 2 (153 enodes) 1544000971.393 * * [misc]simplify: iters left: 1 (158 enodes) 1544000971.405 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) 1544000971.405 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544000971.405 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544000971.405 * * [misc]simplify: iters left: 6 (15 enodes) 1544000971.408 * * [misc]simplify: iters left: 5 (23 enodes) 1544000971.411 * * [misc]simplify: iters left: 4 (32 enodes) 1544000971.415 * * [misc]simplify: iters left: 3 (33 enodes) 1544000971.419 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544000971.419 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k)))))))) 1544000971.419 * * * * [misc]progress: [ 297 / 443 ] simplifiying candidate # 1544000971.419 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt 1)) 1) 1544000971.419 * * [misc]simplify: iters left: 6 (15 enodes) 1544000971.422 * * [misc]simplify: iters left: 5 (27 enodes) 1544000971.426 * * [misc]simplify: iters left: 4 (38 enodes) 1544000971.433 * * [misc]simplify: iters left: 3 (39 enodes) 1544000971.440 * * [misc]simplify: iters left: 2 (42 enodes) 1544000971.450 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) 1544000971.450 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k)))))) 1544000971.450 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544000971.450 * * [misc]simplify: iters left: 6 (14 enodes) 1544000971.454 * * [misc]simplify: iters left: 5 (22 enodes) 1544000971.460 * * [misc]simplify: iters left: 4 (28 enodes) 1544000971.467 * * [misc]simplify: iters left: 3 (30 enodes) 1544000971.474 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k)) 1544000971.475 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k))))) 1544000971.475 * * * * [misc]progress: [ 298 / 443 ] simplifiying candidate # 1544000971.475 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000971.475 * * [misc]simplify: iters left: 6 (18 enodes) 1544000971.481 * * [misc]simplify: iters left: 5 (30 enodes) 1544000971.490 * * [misc]simplify: iters left: 4 (50 enodes) 1544000971.505 * * [misc]simplify: iters left: 3 (86 enodes) 1544000971.522 * * [misc]simplify: iters left: 2 (125 enodes) 1544000971.541 * * [misc]simplify: iters left: 1 (145 enodes) 1544000971.578 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1544000971.578 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))) 1544000971.578 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544000971.579 * * [misc]simplify: iters left: 6 (16 enodes) 1544000971.584 * * [misc]simplify: iters left: 5 (24 enodes) 1544000971.591 * * [misc]simplify: iters left: 4 (33 enodes) 1544000971.599 * * [misc]simplify: iters left: 3 (35 enodes) 1544000971.604 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000971.604 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))))) 1544000971.604 * * * * [misc]progress: [ 299 / 443 ] simplifiying candidate # 1544000971.604 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544000971.604 * * [misc]simplify: iters left: 6 (19 enodes) 1544000971.607 * * [misc]simplify: iters left: 5 (30 enodes) 1544000971.611 * * [misc]simplify: iters left: 4 (45 enodes) 1544000971.617 * * [misc]simplify: iters left: 3 (59 enodes) 1544000971.624 * * [misc]simplify: iters left: 2 (67 enodes) 1544000971.637 * * [misc]simplify: iters left: 1 (70 enodes) 1544000971.655 * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (fabs (cbrt (sqrt k)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))))) 1544000971.655 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (fabs (cbrt (sqrt k)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))) 1544000971.655 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544000971.655 * * [misc]simplify: iters left: 6 (17 enodes) 1544000971.660 * * [misc]simplify: iters left: 5 (25 enodes) 1544000971.668 * * [misc]simplify: iters left: 4 (34 enodes) 1544000971.674 * * [misc]simplify: iters left: 3 (36 enodes) 1544000971.678 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544000971.678 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (fabs (cbrt (sqrt k)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k)))))))) 1544000971.678 * * * * [misc]progress: [ 300 / 443 ] simplifiying candidate # 1544000971.679 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000971.679 * * [misc]simplify: iters left: 6 (16 enodes) 1544000971.681 * * [misc]simplify: iters left: 5 (26 enodes) 1544000971.685 * * [misc]simplify: iters left: 4 (37 enodes) 1544000971.690 * * [misc]simplify: iters left: 3 (47 enodes) 1544000971.696 * * [misc]simplify: iters left: 2 (50 enodes) 1544000971.701 * * [misc]simplify: iters left: 1 (51 enodes) 1544000971.710 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k)))) 1544000971.710 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544000971.711 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000971.711 * * [misc]simplify: iters left: 6 (15 enodes) 1544000971.715 * * [misc]simplify: iters left: 5 (23 enodes) 1544000971.721 * * [misc]simplify: iters left: 4 (29 enodes) 1544000971.728 * * [misc]simplify: iters left: 3 (31 enodes) 1544000971.736 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) 1544000971.736 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k)))))) 1544000971.736 * * * * [misc]progress: [ 301 / 443 ] simplifiying candidate # 1544000971.736 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) (sqrt 1)) 1544000971.736 * * [misc]simplify: iters left: 6 (18 enodes) 1544000971.743 * * [misc]simplify: iters left: 5 (30 enodes) 1544000971.750 * * [misc]simplify: iters left: 4 (44 enodes) 1544000971.757 * * [misc]simplify: iters left: 3 (70 enodes) 1544000971.770 * * [misc]simplify: iters left: 2 (149 enodes) 1544000971.804 * * [misc]simplify: iters left: 1 (155 enodes) 1544000971.812 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) 1544000971.812 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544000971.812 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000971.812 * * [misc]simplify: iters left: 6 (15 enodes) 1544000971.814 * * [misc]simplify: iters left: 5 (23 enodes) 1544000971.817 * * [misc]simplify: iters left: 4 (32 enodes) 1544000971.821 * * [misc]simplify: iters left: 3 (33 enodes) 1544000971.828 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544000971.828 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k)))))))) 1544000971.828 * * * * [misc]progress: [ 302 / 443 ] simplifiying candidate # 1544000971.828 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000971.828 * * [misc]simplify: iters left: 6 (16 enodes) 1544000971.833 * * [misc]simplify: iters left: 5 (26 enodes) 1544000971.841 * * [misc]simplify: iters left: 4 (37 enodes) 1544000971.851 * * [misc]simplify: iters left: 3 (47 enodes) 1544000971.865 * * [misc]simplify: iters left: 2 (50 enodes) 1544000971.875 * * [misc]simplify: iters left: 1 (51 enodes) 1544000971.887 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k)))) 1544000971.888 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544000971.888 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000971.888 * * [misc]simplify: iters left: 6 (15 enodes) 1544000971.892 * * [misc]simplify: iters left: 5 (23 enodes) 1544000971.899 * * [misc]simplify: iters left: 4 (29 enodes) 1544000971.907 * * [misc]simplify: iters left: 3 (31 enodes) 1544000971.915 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) 1544000971.915 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k)))))) 1544000971.915 * * * * [misc]progress: [ 303 / 443 ] simplifiying candidate # 1544000971.915 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) 1) 1544000971.915 * * [misc]simplify: iters left: 6 (17 enodes) 1544000971.921 * * [misc]simplify: iters left: 5 (29 enodes) 1544000971.929 * * [misc]simplify: iters left: 4 (43 enodes) 1544000971.943 * * [misc]simplify: iters left: 3 (68 enodes) 1544000971.967 * * [misc]simplify: iters left: 2 (148 enodes) 1544000972.014 * * [misc]simplify: iters left: 1 (152 enodes) 1544000972.023 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) 1544000972.023 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544000972.023 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000972.023 * * [misc]simplify: iters left: 6 (15 enodes) 1544000972.025 * * [misc]simplify: iters left: 5 (23 enodes) 1544000972.029 * * [misc]simplify: iters left: 4 (32 enodes) 1544000972.033 * * [misc]simplify: iters left: 3 (33 enodes) 1544000972.037 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544000972.037 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k)))))))) 1544000972.037 * * * * [misc]progress: [ 304 / 443 ] simplifiying candidate # 1544000972.037 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000972.037 * * [misc]simplify: iters left: 6 (18 enodes) 1544000972.040 * * [misc]simplify: iters left: 5 (32 enodes) 1544000972.045 * * [misc]simplify: iters left: 4 (60 enodes) 1544000972.065 * * [misc]simplify: iters left: 3 (126 enodes) 1544000972.127 * * [misc]simplify: iters left: 2 (355 enodes) 1544000972.279 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt (sqrt k))))) 1544000972.279 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 1544000972.279 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544000972.279 * * [misc]simplify: iters left: 6 (15 enodes) 1544000972.281 * * [misc]simplify: iters left: 5 (23 enodes) 1544000972.284 * * [misc]simplify: iters left: 4 (32 enodes) 1544000972.288 * * [misc]simplify: iters left: 3 (33 enodes) 1544000972.292 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) 1544000972.292 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k)))))))) 1544000972.292 * * * * [misc]progress: [ 305 / 443 ] simplifiying candidate # 1544000972.292 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544000972.293 * * [misc]simplify: iters left: 6 (18 enodes) 1544000972.295 * * [misc]simplify: iters left: 5 (31 enodes) 1544000972.300 * * [misc]simplify: iters left: 4 (49 enodes) 1544000972.307 * * [misc]simplify: iters left: 3 (81 enodes) 1544000972.331 * * [misc]simplify: iters left: 2 (139 enodes) 1544000972.370 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (cbrt (pow (* (* PI 2) n) (- (/ k 2)))))) 1544000972.370 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (cbrt (pow (* (* PI 2) n) (- (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (cbrt (pow (* (* PI 2) n) (- (/ k 2)))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 1544000972.371 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544000972.371 * * [misc]simplify: iters left: 6 (16 enodes) 1544000972.376 * * [misc]simplify: iters left: 5 (24 enodes) 1544000972.384 * * [misc]simplify: iters left: 4 (33 enodes) 1544000972.393 * * [misc]simplify: iters left: 3 (35 enodes) 1544000972.401 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))) 1544000972.401 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (cbrt (pow (* (* PI 2) n) (- (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (cbrt (pow (* (* PI 2) n) (- (/ k 2)))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k))))))) 1544000972.402 * * * * [misc]progress: [ 306 / 443 ] simplifiying candidate # 1544000972.402 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) 1) (sqrt (sqrt (sqrt k)))) 1544000972.402 * * [misc]simplify: iters left: 6 (17 enodes) 1544000972.407 * * [misc]simplify: iters left: 5 (29 enodes) 1544000972.417 * * [misc]simplify: iters left: 4 (48 enodes) 1544000972.431 * * [misc]simplify: iters left: 3 (72 enodes) 1544000972.451 * * [misc]simplify: iters left: 2 (124 enodes) 1544000972.484 * * [misc]simplify: iters left: 1 (128 enodes) 1544000972.501 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k))))) 1544000972.501 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544000972.501 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544000972.501 * * [misc]simplify: iters left: 6 (15 enodes) 1544000972.506 * * [misc]simplify: iters left: 5 (23 enodes) 1544000972.512 * * [misc]simplify: iters left: 4 (32 enodes) 1544000972.520 * * [misc]simplify: iters left: 3 (33 enodes) 1544000972.530 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544000972.531 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k)))))))) 1544000972.531 * * * * [misc]progress: [ 307 / 443 ] simplifiying candidate # 1544000972.531 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) 1) (sqrt 1)) 1544000972.531 * * [misc]simplify: iters left: 6 (15 enodes) 1544000972.537 * * [misc]simplify: iters left: 5 (27 enodes) 1544000972.544 * * [misc]simplify: iters left: 4 (38 enodes) 1544000972.553 * * [misc]simplify: iters left: 3 (45 enodes) 1544000972.563 * * [misc]simplify: iters left: 2 (59 enodes) 1544000972.574 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) 1544000972.574 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k)))))) 1544000972.574 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544000972.575 * * [misc]simplify: iters left: 6 (14 enodes) 1544000972.577 * * [misc]simplify: iters left: 5 (22 enodes) 1544000972.580 * * [misc]simplify: iters left: 4 (28 enodes) 1544000972.583 * * [misc]simplify: iters left: 3 (30 enodes) 1544000972.587 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k)) 1544000972.587 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k))))) 1544000972.587 * * * * [misc]progress: [ 308 / 443 ] simplifiying candidate # 1544000972.587 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) 1) (sqrt (sqrt (sqrt k)))) 1544000972.587 * * [misc]simplify: iters left: 6 (17 enodes) 1544000972.590 * * [misc]simplify: iters left: 5 (29 enodes) 1544000972.594 * * [misc]simplify: iters left: 4 (48 enodes) 1544000972.603 * * [misc]simplify: iters left: 3 (72 enodes) 1544000972.623 * * [misc]simplify: iters left: 2 (124 enodes) 1544000972.647 * * [misc]simplify: iters left: 1 (128 enodes) 1544000972.655 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k))))) 1544000972.655 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544000972.655 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544000972.655 * * [misc]simplify: iters left: 6 (15 enodes) 1544000972.658 * * [misc]simplify: iters left: 5 (23 enodes) 1544000972.661 * * [misc]simplify: iters left: 4 (32 enodes) 1544000972.666 * * [misc]simplify: iters left: 3 (33 enodes) 1544000972.674 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544000972.674 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k)))))))) 1544000972.674 * * * * [misc]progress: [ 309 / 443 ] simplifiying candidate # 1544000972.674 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) 1) 1) 1544000972.675 * * [misc]simplify: iters left: 6 (14 enodes) 1544000972.679 * * [misc]simplify: iters left: 5 (24 enodes) 1544000972.685 * * [misc]simplify: iters left: 4 (32 enodes) 1544000972.694 * * [misc]simplify: iters left: 3 (36 enodes) 1544000972.702 * * [misc]simplify: iters left: 2 (44 enodes) 1544000972.711 * * [misc]simplify: iters left: 1 (46 enodes) 1544000972.719 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) 1544000972.719 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k)))))) 1544000972.720 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544000972.720 * * [misc]simplify: iters left: 6 (14 enodes) 1544000972.722 * * [misc]simplify: iters left: 5 (22 enodes) 1544000972.725 * * [misc]simplify: iters left: 4 (28 enodes) 1544000972.729 * * [misc]simplify: iters left: 3 (30 enodes) 1544000972.732 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k)) 1544000972.732 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k))))) 1544000972.732 * * * * [misc]progress: [ 310 / 443 ] simplifiying candidate # 1544000972.732 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000972.732 * * [misc]simplify: iters left: 6 (16 enodes) 1544000972.735 * * [misc]simplify: iters left: 5 (28 enodes) 1544000972.739 * * [misc]simplify: iters left: 4 (40 enodes) 1544000972.745 * * [misc]simplify: iters left: 3 (43 enodes) 1544000972.750 * * [misc]simplify: iters left: 2 (47 enodes) 1544000972.756 * * [misc]simplify: iters left: 1 (49 enodes) 1544000972.762 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 1544000972.762 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* PI 2) n) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))) 1544000972.763 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544000972.763 * * [misc]simplify: iters left: 6 (15 enodes) 1544000972.767 * * [misc]simplify: iters left: 5 (23 enodes) 1544000972.770 * * [misc]simplify: iters left: 4 (29 enodes) 1544000972.774 * * [misc]simplify: iters left: 3 (30 enodes) 1544000972.778 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000972.778 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* PI 2) n) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))))) 1544000972.778 * * * * [misc]progress: [ 311 / 443 ] simplifiying candidate # 1544000972.778 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544000972.778 * * [misc]simplify: iters left: 6 (19 enodes) 1544000972.781 * * [misc]simplify: iters left: 5 (30 enodes) 1544000972.785 * * [misc]simplify: iters left: 4 (41 enodes) 1544000972.790 * * [misc]simplify: iters left: 3 (45 enodes) 1544000972.796 * * [misc]simplify: iters left: 2 (51 enodes) 1544000972.802 * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) (cbrt (sqrt (sqrt k)))) 1544000972.802 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) (cbrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))) 1544000972.802 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544000972.803 * * [misc]simplify: iters left: 6 (17 enodes) 1544000972.807 * * [misc]simplify: iters left: 5 (25 enodes) 1544000972.814 * * [misc]simplify: iters left: 4 (34 enodes) 1544000972.823 * * [misc]simplify: iters left: 3 (36 enodes) 1544000972.832 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000972.832 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) (cbrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k)))))))) 1544000972.832 * * * * [misc]progress: [ 312 / 443 ] simplifiying candidate # 1544000972.834 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 1544000972.834 * * [misc]simplify: iters left: 6 (17 enodes) 1544000972.839 * * [misc]simplify: iters left: 5 (27 enodes) 1544000972.843 * * [misc]simplify: iters left: 4 (38 enodes) 1544000972.848 * * [misc]simplify: iters left: 3 (42 enodes) 1544000972.853 * * [misc]simplify: iters left: 2 (48 enodes) 1544000972.859 * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000972.859 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544000972.859 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000972.859 * * [misc]simplify: iters left: 6 (16 enodes) 1544000972.861 * * [misc]simplify: iters left: 5 (24 enodes) 1544000972.865 * * [misc]simplify: iters left: 4 (33 enodes) 1544000972.870 * * [misc]simplify: iters left: 3 (35 enodes) 1544000972.879 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544000972.879 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))))) 1544000972.879 * * * * [misc]progress: [ 313 / 443 ] simplifiying candidate # 1544000972.880 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt 1)) 1544000972.880 * * [misc]simplify: iters left: 6 (18 enodes) 1544000972.886 * * [misc]simplify: iters left: 5 (30 enodes) 1544000972.894 * * [misc]simplify: iters left: 4 (41 enodes) 1544000972.904 * * [misc]simplify: iters left: 3 (45 enodes) 1544000972.912 * * [misc]simplify: iters left: 2 (50 enodes) 1544000972.918 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000972.918 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544000972.918 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000972.918 * * [misc]simplify: iters left: 6 (15 enodes) 1544000972.920 * * [misc]simplify: iters left: 5 (23 enodes) 1544000972.923 * * [misc]simplify: iters left: 4 (32 enodes) 1544000972.927 * * [misc]simplify: iters left: 3 (33 enodes) 1544000972.932 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) 1544000972.932 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k)))))))) 1544000972.933 * * * * [misc]progress: [ 314 / 443 ] simplifiying candidate # 1544000972.933 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 1544000972.933 * * [misc]simplify: iters left: 6 (17 enodes) 1544000972.935 * * [misc]simplify: iters left: 5 (27 enodes) 1544000972.939 * * [misc]simplify: iters left: 4 (38 enodes) 1544000972.944 * * [misc]simplify: iters left: 3 (42 enodes) 1544000972.949 * * [misc]simplify: iters left: 2 (48 enodes) 1544000972.955 * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000972.955 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544000972.955 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000972.955 * * [misc]simplify: iters left: 6 (16 enodes) 1544000972.958 * * [misc]simplify: iters left: 5 (24 enodes) 1544000972.961 * * [misc]simplify: iters left: 4 (33 enodes) 1544000972.965 * * [misc]simplify: iters left: 3 (35 enodes) 1544000972.969 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544000972.969 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))))) 1544000972.969 * * * * [misc]progress: [ 315 / 443 ] simplifiying candidate # 1544000972.970 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1) 1544000972.970 * * [misc]simplify: iters left: 6 (17 enodes) 1544000972.972 * * [misc]simplify: iters left: 5 (29 enodes) 1544000972.976 * * [misc]simplify: iters left: 4 (40 enodes) 1544000972.984 * * [misc]simplify: iters left: 3 (47 enodes) 1544000972.994 * * [misc]simplify: iters left: 2 (52 enodes) 1544000973.005 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000973.005 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544000973.005 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000973.005 * * [misc]simplify: iters left: 6 (15 enodes) 1544000973.008 * * [misc]simplify: iters left: 5 (23 enodes) 1544000973.012 * * [misc]simplify: iters left: 4 (32 enodes) 1544000973.016 * * [misc]simplify: iters left: 3 (33 enodes) 1544000973.021 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) 1544000973.021 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k)))))))) 1544000973.021 * * * * [misc]progress: [ 316 / 443 ] simplifiying candidate # 1544000973.021 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000973.021 * * [misc]simplify: iters left: 6 (19 enodes) 1544000973.024 * * [misc]simplify: iters left: 5 (30 enodes) 1544000973.028 * * [misc]simplify: iters left: 4 (42 enodes) 1544000973.034 * * [misc]simplify: iters left: 3 (48 enodes) 1544000973.040 * * [misc]simplify: iters left: 2 (49 enodes) 1544000973.046 * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000973.046 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))) 1544000973.046 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544000973.046 * * [misc]simplify: iters left: 6 (17 enodes) 1544000973.050 * * [misc]simplify: iters left: 5 (25 enodes) 1544000973.057 * * [misc]simplify: iters left: 4 (34 enodes) 1544000973.066 * * [misc]simplify: iters left: 3 (36 enodes) 1544000973.075 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) 1544000973.075 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))))) 1544000973.075 * * * * [misc]progress: [ 317 / 443 ] simplifiying candidate # 1544000973.075 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544000973.076 * * [misc]simplify: iters left: 6 (16 enodes) 1544000973.081 * * [misc]simplify: iters left: 5 (25 enodes) 1544000973.088 * * [misc]simplify: iters left: 4 (31 enodes) 1544000973.096 * * [misc]simplify: iters left: 3 (33 enodes) 1544000973.104 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544000973.104 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))) 1544000973.104 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544000973.104 * * [misc]simplify: iters left: 6 (15 enodes) 1544000973.109 * * [misc]simplify: iters left: 5 (23 enodes) 1544000973.115 * * [misc]simplify: iters left: 4 (29 enodes) 1544000973.123 * * [misc]simplify: iters left: 3 (31 enodes) 1544000973.131 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt k))) 1544000973.131 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt k)))))) 1544000973.131 * * * * [misc]progress: [ 318 / 443 ] simplifiying candidate # 1544000973.131 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 1544000973.131 * * [misc]simplify: iters left: 6 (18 enodes) 1544000973.137 * * [misc]simplify: iters left: 5 (27 enodes) 1544000973.145 * * [misc]simplify: iters left: 4 (36 enodes) 1544000973.154 * * [misc]simplify: iters left: 3 (37 enodes) 1544000973.164 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544000973.164 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544000973.164 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000973.164 * * [misc]simplify: iters left: 6 (17 enodes) 1544000973.169 * * [misc]simplify: iters left: 5 (25 enodes) 1544000973.176 * * [misc]simplify: iters left: 4 (34 enodes) 1544000973.185 * * [misc]simplify: iters left: 3 (36 enodes) 1544000973.194 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) 1544000973.194 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))))) 1544000973.194 * * * * [misc]progress: [ 319 / 443 ] simplifiying candidate # 1544000973.194 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt 1)) 1544000973.195 * * [misc]simplify: iters left: 6 (18 enodes) 1544000973.201 * * [misc]simplify: iters left: 5 (29 enodes) 1544000973.209 * * [misc]simplify: iters left: 4 (38 enodes) 1544000973.217 * * [misc]simplify: iters left: 3 (43 enodes) 1544000973.221 * * [misc]simplify: iters left: 2 (44 enodes) 1544000973.225 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (fabs (cbrt (sqrt k)))) 1544000973.226 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (fabs (cbrt (sqrt k)))) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k)))))) 1544000973.226 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 1544000973.226 * * [misc]simplify: iters left: 6 (16 enodes) 1544000973.228 * * [misc]simplify: iters left: 5 (24 enodes) 1544000973.231 * * [misc]simplify: iters left: 4 (33 enodes) 1544000973.235 * * [misc]simplify: iters left: 3 (35 enodes) 1544000973.240 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))) 1544000973.240 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (fabs (cbrt (sqrt k)))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k))))))) 1544000973.240 * * * * [misc]progress: [ 320 / 443 ] simplifiying candidate # 1544000973.240 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 1544000973.240 * * [misc]simplify: iters left: 6 (18 enodes) 1544000973.243 * * [misc]simplify: iters left: 5 (27 enodes) 1544000973.249 * * [misc]simplify: iters left: 4 (36 enodes) 1544000973.258 * * [misc]simplify: iters left: 3 (37 enodes) 1544000973.269 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544000973.269 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544000973.269 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000973.269 * * [misc]simplify: iters left: 6 (17 enodes) 1544000973.274 * * [misc]simplify: iters left: 5 (25 enodes) 1544000973.281 * * [misc]simplify: iters left: 4 (34 enodes) 1544000973.290 * * [misc]simplify: iters left: 3 (36 enodes) 1544000973.299 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) 1544000973.299 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))))) 1544000973.299 * * * * [misc]progress: [ 321 / 443 ] simplifiying candidate # 1544000973.299 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1) 1544000973.300 * * [misc]simplify: iters left: 6 (17 enodes) 1544000973.305 * * [misc]simplify: iters left: 5 (28 enodes) 1544000973.312 * * [misc]simplify: iters left: 4 (37 enodes) 1544000973.317 * * [misc]simplify: iters left: 3 (44 enodes) 1544000973.322 * * [misc]simplify: iters left: 2 (45 enodes) 1544000973.326 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (fabs (cbrt (sqrt k)))) 1544000973.326 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (fabs (cbrt (sqrt k)))) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k)))))) 1544000973.326 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 1544000973.326 * * [misc]simplify: iters left: 6 (16 enodes) 1544000973.328 * * [misc]simplify: iters left: 5 (24 enodes) 1544000973.332 * * [misc]simplify: iters left: 4 (33 enodes) 1544000973.336 * * [misc]simplify: iters left: 3 (35 enodes) 1544000973.341 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))) 1544000973.341 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (fabs (cbrt (sqrt k)))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k))))))) 1544000973.341 * * * * [misc]progress: [ 322 / 443 ] simplifiying candidate # 1544000973.341 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000973.341 * * [misc]simplify: iters left: 6 (17 enodes) 1544000973.346 * * [misc]simplify: iters left: 5 (27 enodes) 1544000973.354 * * [misc]simplify: iters left: 4 (39 enodes) 1544000973.364 * * [misc]simplify: iters left: 3 (45 enodes) 1544000973.375 * * [misc]simplify: iters left: 2 (46 enodes) 1544000973.388 * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (cbrt (sqrt (sqrt k)))) 1544000973.388 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (cbrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))) 1544000973.388 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544000973.388 * * [misc]simplify: iters left: 6 (16 enodes) 1544000973.393 * * [misc]simplify: iters left: 5 (24 enodes) 1544000973.400 * * [misc]simplify: iters left: 4 (33 enodes) 1544000973.408 * * [misc]simplify: iters left: 3 (35 enodes) 1544000973.416 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000973.416 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))))) 1544000973.416 * * * * [misc]progress: [ 323 / 443 ] simplifiying candidate # 1544000973.417 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544000973.417 * * [misc]simplify: iters left: 6 (18 enodes) 1544000973.419 * * [misc]simplify: iters left: 5 (27 enodes) 1544000973.423 * * [misc]simplify: iters left: 4 (36 enodes) 1544000973.427 * * [misc]simplify: iters left: 3 (37 enodes) 1544000973.432 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) 1544000973.432 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))) 1544000973.432 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544000973.432 * * [misc]simplify: iters left: 6 (17 enodes) 1544000973.435 * * [misc]simplify: iters left: 5 (25 enodes) 1544000973.438 * * [misc]simplify: iters left: 4 (34 enodes) 1544000973.442 * * [misc]simplify: iters left: 3 (36 enodes) 1544000973.451 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544000973.451 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k)))))))) 1544000973.451 * * * * [misc]progress: [ 324 / 443 ] simplifiying candidate # 1544000973.451 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000973.451 * * [misc]simplify: iters left: 6 (15 enodes) 1544000973.456 * * [misc]simplify: iters left: 5 (23 enodes) 1544000973.462 * * [misc]simplify: iters left: 4 (29 enodes) 1544000973.470 * * [misc]simplify: iters left: 3 (31 enodes) 1544000973.478 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) 1544000973.478 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544000973.478 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000973.478 * * [misc]simplify: iters left: 6 (15 enodes) 1544000973.483 * * [misc]simplify: iters left: 5 (23 enodes) 1544000973.489 * * [misc]simplify: iters left: 4 (29 enodes) 1544000973.497 * * [misc]simplify: iters left: 3 (31 enodes) 1544000973.505 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) 1544000973.505 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k)))))) 1544000973.505 * * * * [misc]progress: [ 325 / 443 ] simplifiying candidate # 1544000973.506 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt 1)) 1544000973.506 * * [misc]simplify: iters left: 6 (17 enodes) 1544000973.510 * * [misc]simplify: iters left: 5 (27 enodes) 1544000973.513 * * [misc]simplify: iters left: 4 (36 enodes) 1544000973.518 * * [misc]simplify: iters left: 3 (41 enodes) 1544000973.522 * * [misc]simplify: iters left: 2 (42 enodes) 1544000973.526 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1544000973.526 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544000973.526 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000973.527 * * [misc]simplify: iters left: 6 (15 enodes) 1544000973.529 * * [misc]simplify: iters left: 5 (23 enodes) 1544000973.532 * * [misc]simplify: iters left: 4 (32 enodes) 1544000973.536 * * [misc]simplify: iters left: 3 (33 enodes) 1544000973.544 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544000973.544 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k)))))))) 1544000973.545 * * * * [misc]progress: [ 326 / 443 ] simplifiying candidate # 1544000973.545 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000973.545 * * [misc]simplify: iters left: 6 (15 enodes) 1544000973.550 * * [misc]simplify: iters left: 5 (23 enodes) 1544000973.556 * * [misc]simplify: iters left: 4 (29 enodes) 1544000973.564 * * [misc]simplify: iters left: 3 (31 enodes) 1544000973.571 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) 1544000973.571 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544000973.572 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000973.572 * * [misc]simplify: iters left: 6 (15 enodes) 1544000973.574 * * [misc]simplify: iters left: 5 (23 enodes) 1544000973.577 * * [misc]simplify: iters left: 4 (29 enodes) 1544000973.580 * * [misc]simplify: iters left: 3 (31 enodes) 1544000973.584 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) 1544000973.584 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k)))))) 1544000973.584 * * * * [misc]progress: [ 327 / 443 ] simplifiying candidate # 1544000973.585 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1) 1544000973.585 * * [misc]simplify: iters left: 6 (16 enodes) 1544000973.587 * * [misc]simplify: iters left: 5 (26 enodes) 1544000973.590 * * [misc]simplify: iters left: 4 (35 enodes) 1544000973.595 * * [misc]simplify: iters left: 3 (40 enodes) 1544000973.601 * * [misc]simplify: iters left: 2 (41 enodes) 1544000973.609 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1544000973.609 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* PI 2) n) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544000973.609 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000973.610 * * [misc]simplify: iters left: 6 (15 enodes) 1544000973.614 * * [misc]simplify: iters left: 5 (23 enodes) 1544000973.621 * * [misc]simplify: iters left: 4 (32 enodes) 1544000973.629 * * [misc]simplify: iters left: 3 (33 enodes) 1544000973.638 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544000973.638 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* PI 2) n) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k)))))))) 1544000973.638 * * * * [misc]progress: [ 328 / 443 ] simplifiying candidate # 1544000973.638 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt 1)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000973.638 * * [misc]simplify: iters left: 6 (18 enodes) 1544000973.645 * * [misc]simplify: iters left: 5 (30 enodes) 1544000973.653 * * [misc]simplify: iters left: 4 (41 enodes) 1544000973.665 * * [misc]simplify: iters left: 3 (50 enodes) 1544000973.675 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000973.675 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 1544000973.675 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544000973.675 * * [misc]simplify: iters left: 6 (15 enodes) 1544000973.680 * * [misc]simplify: iters left: 5 (23 enodes) 1544000973.687 * * [misc]simplify: iters left: 4 (32 enodes) 1544000973.695 * * [misc]simplify: iters left: 3 (33 enodes) 1544000973.703 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) 1544000973.703 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k)))))))) 1544000973.703 * * * * [misc]progress: [ 329 / 443 ] simplifiying candidate # 1544000973.704 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt 1)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544000973.704 * * [misc]simplify: iters left: 6 (18 enodes) 1544000973.710 * * [misc]simplify: iters left: 5 (29 enodes) 1544000973.718 * * [misc]simplify: iters left: 4 (36 enodes) 1544000973.727 * * [misc]simplify: iters left: 3 (41 enodes) 1544000973.736 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (fabs (cbrt (sqrt k)))) 1544000973.736 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (fabs (cbrt (sqrt k)))) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 1544000973.737 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544000973.737 * * [misc]simplify: iters left: 6 (16 enodes) 1544000973.742 * * [misc]simplify: iters left: 5 (24 enodes) 1544000973.750 * * [misc]simplify: iters left: 4 (33 enodes) 1544000973.759 * * [misc]simplify: iters left: 3 (35 enodes) 1544000973.768 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))) 1544000973.768 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (fabs (cbrt (sqrt k)))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k))))))) 1544000973.768 * * * * [misc]progress: [ 330 / 443 ] simplifiying candidate # 1544000973.768 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt 1)) (sqrt (sqrt (sqrt k)))) 1544000973.768 * * [misc]simplify: iters left: 6 (17 enodes) 1544000973.774 * * [misc]simplify: iters left: 5 (27 enodes) 1544000973.777 * * [misc]simplify: iters left: 4 (34 enodes) 1544000973.782 * * [misc]simplify: iters left: 3 (39 enodes) 1544000973.786 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1544000973.786 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544000973.786 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544000973.786 * * [misc]simplify: iters left: 6 (15 enodes) 1544000973.789 * * [misc]simplify: iters left: 5 (23 enodes) 1544000973.792 * * [misc]simplify: iters left: 4 (32 enodes) 1544000973.800 * * [misc]simplify: iters left: 3 (33 enodes) 1544000973.809 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544000973.809 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k)))))))) 1544000973.809 * * * * [misc]progress: [ 331 / 443 ] simplifiying candidate # 1544000973.809 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt 1)) (sqrt 1)) 1544000973.809 * * [misc]simplify: iters left: 6 (14 enodes) 1544000973.815 * * [misc]simplify: iters left: 5 (24 enodes) 1544000973.820 * * [misc]simplify: iters left: 4 (30 enodes) 1544000973.827 * * [misc]simplify: iters left: 3 (32 enodes) 1544000973.833 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) 1544000973.833 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k)))))) 1544000973.833 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544000973.834 * * [misc]simplify: iters left: 6 (14 enodes) 1544000973.838 * * [misc]simplify: iters left: 5 (22 enodes) 1544000973.844 * * [misc]simplify: iters left: 4 (28 enodes) 1544000973.852 * * [misc]simplify: iters left: 3 (30 enodes) 1544000973.859 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k)) 1544000973.859 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k))))) 1544000973.859 * * * * [misc]progress: [ 332 / 443 ] simplifiying candidate # 1544000973.859 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt 1)) (sqrt (sqrt (sqrt k)))) 1544000973.860 * * [misc]simplify: iters left: 6 (17 enodes) 1544000973.865 * * [misc]simplify: iters left: 5 (27 enodes) 1544000973.872 * * [misc]simplify: iters left: 4 (34 enodes) 1544000973.882 * * [misc]simplify: iters left: 3 (39 enodes) 1544000973.886 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1544000973.886 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544000973.886 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544000973.886 * * [misc]simplify: iters left: 6 (15 enodes) 1544000973.888 * * [misc]simplify: iters left: 5 (23 enodes) 1544000973.891 * * [misc]simplify: iters left: 4 (32 enodes) 1544000973.895 * * [misc]simplify: iters left: 3 (33 enodes) 1544000973.900 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544000973.900 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k)))))))) 1544000973.900 * * * * [misc]progress: [ 333 / 443 ] simplifiying candidate # 1544000973.900 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt 1)) 1) 1544000973.900 * * [misc]simplify: iters left: 6 (14 enodes) 1544000973.903 * * [misc]simplify: iters left: 5 (24 enodes) 1544000973.906 * * [misc]simplify: iters left: 4 (30 enodes) 1544000973.909 * * [misc]simplify: iters left: 3 (32 enodes) 1544000973.913 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) 1544000973.913 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k)))))) 1544000973.913 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544000973.913 * * [misc]simplify: iters left: 6 (14 enodes) 1544000973.917 * * [misc]simplify: iters left: 5 (22 enodes) 1544000973.924 * * [misc]simplify: iters left: 4 (28 enodes) 1544000973.931 * * [misc]simplify: iters left: 3 (30 enodes) 1544000973.938 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k)) 1544000973.938 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k))))) 1544000973.938 * * * * [misc]progress: [ 334 / 443 ] simplifiying candidate # 1544000973.939 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000973.939 * * [misc]simplify: iters left: 6 (17 enodes) 1544000973.943 * * [misc]simplify: iters left: 5 (27 enodes) 1544000973.947 * * [misc]simplify: iters left: 4 (39 enodes) 1544000973.952 * * [misc]simplify: iters left: 3 (45 enodes) 1544000973.957 * * [misc]simplify: iters left: 2 (46 enodes) 1544000973.963 * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (cbrt (sqrt (sqrt k)))) 1544000973.963 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (cbrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))) 1544000973.963 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544000973.963 * * [misc]simplify: iters left: 6 (16 enodes) 1544000973.965 * * [misc]simplify: iters left: 5 (24 enodes) 1544000973.969 * * [misc]simplify: iters left: 4 (33 enodes) 1544000973.977 * * [misc]simplify: iters left: 3 (35 enodes) 1544000973.986 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000973.986 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))))) 1544000973.986 * * * * [misc]progress: [ 335 / 443 ] simplifiying candidate # 1544000973.986 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544000973.986 * * [misc]simplify: iters left: 6 (18 enodes) 1544000973.992 * * [misc]simplify: iters left: 5 (27 enodes) 1544000973.999 * * [misc]simplify: iters left: 4 (36 enodes) 1544000974.008 * * [misc]simplify: iters left: 3 (37 enodes) 1544000974.017 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) 1544000974.017 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))) 1544000974.017 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544000974.018 * * [misc]simplify: iters left: 6 (17 enodes) 1544000974.021 * * [misc]simplify: iters left: 5 (25 enodes) 1544000974.024 * * [misc]simplify: iters left: 4 (34 enodes) 1544000974.028 * * [misc]simplify: iters left: 3 (36 enodes) 1544000974.033 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544000974.033 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k)))))))) 1544000974.033 * * * * [misc]progress: [ 336 / 443 ] simplifiying candidate # 1544000974.033 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000974.033 * * [misc]simplify: iters left: 6 (15 enodes) 1544000974.035 * * [misc]simplify: iters left: 5 (23 enodes) 1544000974.039 * * [misc]simplify: iters left: 4 (29 enodes) 1544000974.042 * * [misc]simplify: iters left: 3 (31 enodes) 1544000974.046 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) 1544000974.046 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544000974.046 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000974.046 * * [misc]simplify: iters left: 6 (15 enodes) 1544000974.048 * * [misc]simplify: iters left: 5 (23 enodes) 1544000974.051 * * [misc]simplify: iters left: 4 (29 enodes) 1544000974.055 * * [misc]simplify: iters left: 3 (31 enodes) 1544000974.059 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) 1544000974.059 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k)))))) 1544000974.059 * * * * [misc]progress: [ 337 / 443 ] simplifiying candidate # 1544000974.059 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt 1)) 1544000974.059 * * [misc]simplify: iters left: 6 (17 enodes) 1544000974.062 * * [misc]simplify: iters left: 5 (27 enodes) 1544000974.066 * * [misc]simplify: iters left: 4 (36 enodes) 1544000974.072 * * [misc]simplify: iters left: 3 (41 enodes) 1544000974.075 * * [misc]simplify: iters left: 2 (42 enodes) 1544000974.079 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1544000974.079 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544000974.079 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000974.080 * * [misc]simplify: iters left: 6 (15 enodes) 1544000974.082 * * [misc]simplify: iters left: 5 (23 enodes) 1544000974.085 * * [misc]simplify: iters left: 4 (32 enodes) 1544000974.089 * * [misc]simplify: iters left: 3 (33 enodes) 1544000974.093 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544000974.093 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k)))))))) 1544000974.093 * * * * [misc]progress: [ 338 / 443 ] simplifiying candidate # 1544000974.094 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000974.094 * * [misc]simplify: iters left: 6 (15 enodes) 1544000974.096 * * [misc]simplify: iters left: 5 (23 enodes) 1544000974.099 * * [misc]simplify: iters left: 4 (29 enodes) 1544000974.102 * * [misc]simplify: iters left: 3 (31 enodes) 1544000974.106 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) 1544000974.106 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544000974.106 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000974.106 * * [misc]simplify: iters left: 6 (15 enodes) 1544000974.109 * * [misc]simplify: iters left: 5 (23 enodes) 1544000974.112 * * [misc]simplify: iters left: 4 (29 enodes) 1544000974.115 * * [misc]simplify: iters left: 3 (31 enodes) 1544000974.119 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) 1544000974.119 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k)))))) 1544000974.119 * * * * [misc]progress: [ 339 / 443 ] simplifiying candidate # 1544000974.119 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1) 1544000974.119 * * [misc]simplify: iters left: 6 (16 enodes) 1544000974.121 * * [misc]simplify: iters left: 5 (26 enodes) 1544000974.126 * * [misc]simplify: iters left: 4 (35 enodes) 1544000974.136 * * [misc]simplify: iters left: 3 (40 enodes) 1544000974.144 * * [misc]simplify: iters left: 2 (41 enodes) 1544000974.152 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1544000974.152 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* PI 2) n) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544000974.152 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000974.152 * * [misc]simplify: iters left: 6 (15 enodes) 1544000974.157 * * [misc]simplify: iters left: 5 (23 enodes) 1544000974.165 * * [misc]simplify: iters left: 4 (32 enodes) 1544000974.172 * * [misc]simplify: iters left: 3 (33 enodes) 1544000974.176 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544000974.176 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* PI 2) n) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k)))))))) 1544000974.176 * * * * [misc]progress: [ 340 / 443 ] simplifiying candidate # 1544000974.177 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000974.177 * * [misc]simplify: iters left: 6 (17 enodes) 1544000974.179 * * [misc]simplify: iters left: 5 (29 enodes) 1544000974.184 * * [misc]simplify: iters left: 4 (43 enodes) 1544000974.189 * * [misc]simplify: iters left: 3 (53 enodes) 1544000974.195 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000974.195 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 1544000974.195 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544000974.196 * * [misc]simplify: iters left: 6 (15 enodes) 1544000974.198 * * [misc]simplify: iters left: 5 (23 enodes) 1544000974.201 * * [misc]simplify: iters left: 4 (32 enodes) 1544000974.206 * * [misc]simplify: iters left: 3 (33 enodes) 1544000974.210 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) 1544000974.210 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k)))))))) 1544000974.210 * * * * [misc]progress: [ 341 / 443 ] simplifiying candidate # 1544000974.210 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544000974.210 * * [misc]simplify: iters left: 6 (17 enodes) 1544000974.213 * * [misc]simplify: iters left: 5 (28 enodes) 1544000974.217 * * [misc]simplify: iters left: 4 (38 enodes) 1544000974.221 * * [misc]simplify: iters left: 3 (40 enodes) 1544000974.225 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (fabs (cbrt (sqrt k)))) 1544000974.225 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (fabs (cbrt (sqrt k)))) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 1544000974.226 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544000974.226 * * [misc]simplify: iters left: 6 (16 enodes) 1544000974.228 * * [misc]simplify: iters left: 5 (24 enodes) 1544000974.231 * * [misc]simplify: iters left: 4 (33 enodes) 1544000974.240 * * [misc]simplify: iters left: 3 (35 enodes) 1544000974.248 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))) 1544000974.249 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (fabs (cbrt (sqrt k)))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k))))))) 1544000974.249 * * * * [misc]progress: [ 342 / 443 ] simplifiying candidate # 1544000974.249 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) 1) (sqrt (sqrt (sqrt k)))) 1544000974.249 * * [misc]simplify: iters left: 6 (16 enodes) 1544000974.255 * * [misc]simplify: iters left: 5 (26 enodes) 1544000974.260 * * [misc]simplify: iters left: 4 (37 enodes) 1544000974.264 * * [misc]simplify: iters left: 3 (38 enodes) 1544000974.268 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1544000974.268 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* PI 2) n) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544000974.268 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544000974.268 * * [misc]simplify: iters left: 6 (15 enodes) 1544000974.270 * * [misc]simplify: iters left: 5 (23 enodes) 1544000974.273 * * [misc]simplify: iters left: 4 (32 enodes) 1544000974.277 * * [misc]simplify: iters left: 3 (33 enodes) 1544000974.281 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544000974.281 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* PI 2) n) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k)))))))) 1544000974.281 * * * * [misc]progress: [ 343 / 443 ] simplifiying candidate # 1544000974.282 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) 1) (sqrt 1)) 1544000974.282 * * [misc]simplify: iters left: 6 (14 enodes) 1544000974.284 * * [misc]simplify: iters left: 5 (24 enodes) 1544000974.287 * * [misc]simplify: iters left: 4 (30 enodes) 1544000974.290 * * [misc]simplify: iters left: 3 (32 enodes) 1544000974.295 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) 1544000974.295 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k)))))) 1544000974.295 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544000974.296 * * [misc]simplify: iters left: 6 (14 enodes) 1544000974.298 * * [misc]simplify: iters left: 5 (22 enodes) 1544000974.301 * * [misc]simplify: iters left: 4 (28 enodes) 1544000974.304 * * [misc]simplify: iters left: 3 (30 enodes) 1544000974.307 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k)) 1544000974.308 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k))))) 1544000974.308 * * * * [misc]progress: [ 344 / 443 ] simplifiying candidate # 1544000974.308 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) 1) (sqrt (sqrt (sqrt k)))) 1544000974.308 * * [misc]simplify: iters left: 6 (16 enodes) 1544000974.310 * * [misc]simplify: iters left: 5 (26 enodes) 1544000974.314 * * [misc]simplify: iters left: 4 (37 enodes) 1544000974.319 * * [misc]simplify: iters left: 3 (38 enodes) 1544000974.323 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1544000974.323 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* PI 2) n) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544000974.323 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544000974.323 * * [misc]simplify: iters left: 6 (15 enodes) 1544000974.325 * * [misc]simplify: iters left: 5 (23 enodes) 1544000974.329 * * [misc]simplify: iters left: 4 (32 enodes) 1544000974.338 * * [misc]simplify: iters left: 3 (33 enodes) 1544000974.346 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544000974.346 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* PI 2) n) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k)))))))) 1544000974.347 * * * * [misc]progress: [ 345 / 443 ] simplifiying candidate # 1544000974.347 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) 1) 1) 1544000974.347 * * [misc]simplify: iters left: 6 (13 enodes) 1544000974.351 * * [misc]simplify: iters left: 5 (21 enodes) 1544000974.354 * * [misc]simplify: iters left: 4 (27 enodes) 1544000974.357 * * [misc]simplify: iters left: 3 (29 enodes) 1544000974.360 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) 1544000974.360 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k)))))) 1544000974.361 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544000974.361 * * [misc]simplify: iters left: 6 (14 enodes) 1544000974.363 * * [misc]simplify: iters left: 5 (22 enodes) 1544000974.366 * * [misc]simplify: iters left: 4 (28 enodes) 1544000974.369 * * [misc]simplify: iters left: 3 (30 enodes) 1544000974.373 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k)) 1544000974.373 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k))))) 1544000974.373 * * * * [misc]progress: [ 346 / 443 ] simplifiying candidate # 1544000974.373 * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000974.373 * * [misc]simplify: iters left: 6 (8 enodes) 1544000974.374 * * [misc]simplify: iters left: 5 (16 enodes) 1544000974.376 * * [misc]simplify: iters left: 4 (22 enodes) 1544000974.379 * * [misc]simplify: iters left: 3 (24 enodes) 1544000974.382 * * [misc]simplify: iters left: 2 (27 enodes) 1544000974.385 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544000974.386 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ 1 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))) 1544000974.386 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544000974.386 * * [misc]simplify: iters left: 6 (14 enodes) 1544000974.388 * * [misc]simplify: iters left: 5 (22 enodes) 1544000974.391 * * [misc]simplify: iters left: 4 (28 enodes) 1544000974.394 * * [misc]simplify: iters left: 3 (29 enodes) 1544000974.401 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000974.401 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ 1 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))))) 1544000974.401 * * * * [misc]progress: [ 347 / 443 ] simplifiying candidate # 1544000974.401 * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544000974.401 * * [misc]simplify: iters left: 6 (11 enodes) 1544000974.404 * * [misc]simplify: iters left: 5 (18 enodes) 1544000974.410 * * [misc]simplify: iters left: 4 (23 enodes) 1544000974.413 * * [misc]simplify: iters left: 3 (26 enodes) 1544000974.417 * * [misc]simplify: iters left: 2 (32 enodes) 1544000974.421 * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000974.421 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ 1 (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))) 1544000974.421 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544000974.421 * * [misc]simplify: iters left: 6 (16 enodes) 1544000974.424 * * [misc]simplify: iters left: 5 (24 enodes) 1544000974.427 * * [misc]simplify: iters left: 4 (33 enodes) 1544000974.432 * * [misc]simplify: iters left: 3 (35 enodes) 1544000974.436 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544000974.436 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ 1 (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))) 1544000974.436 * * * * [misc]progress: [ 348 / 443 ] simplifiying candidate # 1544000974.436 * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 1544000974.436 * * [misc]simplify: iters left: 6 (9 enodes) 1544000974.438 * * [misc]simplify: iters left: 5 (15 enodes) 1544000974.440 * * [misc]simplify: iters left: 4 (20 enodes) 1544000974.442 * * [misc]simplify: iters left: 3 (23 enodes) 1544000974.445 * * [misc]simplify: iters left: 2 (29 enodes) 1544000974.450 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000974.450 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544000974.450 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000974.450 * * [misc]simplify: iters left: 6 (15 enodes) 1544000974.455 * * [misc]simplify: iters left: 5 (23 enodes) 1544000974.462 * * [misc]simplify: iters left: 4 (32 enodes) 1544000974.470 * * [misc]simplify: iters left: 3 (33 enodes) 1544000974.478 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544000974.478 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))) 1544000974.479 * * * * [misc]progress: [ 349 / 443 ] simplifiying candidate # 1544000974.479 * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt 1)) 1544000974.479 * * [misc]simplify: iters left: 6 (9 enodes) 1544000974.482 * * [misc]simplify: iters left: 5 (15 enodes) 1544000974.487 * * [misc]simplify: iters left: 4 (20 enodes) 1544000974.490 * * [misc]simplify: iters left: 3 (23 enodes) 1544000974.492 * * [misc]simplify: iters left: 2 (24 enodes) 1544000974.493 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000974.494 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544000974.494 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000974.494 * * [misc]simplify: iters left: 6 (14 enodes) 1544000974.496 * * [misc]simplify: iters left: 5 (22 enodes) 1544000974.499 * * [misc]simplify: iters left: 4 (31 enodes) 1544000974.503 * * [misc]simplify: iters left: 3 (32 enodes) 1544000974.507 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000974.507 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544000974.507 * * * * [misc]progress: [ 350 / 443 ] simplifiying candidate # 1544000974.507 * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 1544000974.507 * * [misc]simplify: iters left: 6 (9 enodes) 1544000974.508 * * [misc]simplify: iters left: 5 (15 enodes) 1544000974.510 * * [misc]simplify: iters left: 4 (20 enodes) 1544000974.513 * * [misc]simplify: iters left: 3 (23 enodes) 1544000974.516 * * [misc]simplify: iters left: 2 (29 enodes) 1544000974.525 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000974.525 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544000974.525 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000974.525 * * [misc]simplify: iters left: 6 (15 enodes) 1544000974.529 * * [misc]simplify: iters left: 5 (23 enodes) 1544000974.535 * * [misc]simplify: iters left: 4 (32 enodes) 1544000974.543 * * [misc]simplify: iters left: 3 (33 enodes) 1544000974.551 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544000974.551 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))) 1544000974.551 * * * * [misc]progress: [ 351 / 443 ] simplifiying candidate # 1544000974.552 * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1) 1544000974.552 * * [misc]simplify: iters left: 6 (8 enodes) 1544000974.554 * * [misc]simplify: iters left: 5 (14 enodes) 1544000974.559 * * [misc]simplify: iters left: 4 (19 enodes) 1544000974.564 * * [misc]simplify: iters left: 3 (23 enodes) 1544000974.568 * * [misc]simplify: iters left: 2 (24 enodes) 1544000974.573 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544000974.573 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544000974.573 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000974.574 * * [misc]simplify: iters left: 6 (14 enodes) 1544000974.578 * * [misc]simplify: iters left: 5 (22 enodes) 1544000974.584 * * [misc]simplify: iters left: 4 (31 enodes) 1544000974.591 * * [misc]simplify: iters left: 3 (32 enodes) 1544000974.599 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000974.599 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544000974.599 * * * * [misc]progress: [ 352 / 443 ] simplifiying candidate # 1544000974.599 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000974.600 * * [misc]simplify: iters left: 6 (11 enodes) 1544000974.603 * * [misc]simplify: iters left: 5 (18 enodes) 1544000974.605 * * [misc]simplify: iters left: 4 (24 enodes) 1544000974.608 * * [misc]simplify: iters left: 3 (29 enodes) 1544000974.612 * * [misc]simplify: iters left: 2 (30 enodes) 1544000974.615 * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000974.615 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ 1 (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))) 1544000974.615 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544000974.616 * * [misc]simplify: iters left: 6 (16 enodes) 1544000974.618 * * [misc]simplify: iters left: 5 (24 enodes) 1544000974.621 * * [misc]simplify: iters left: 4 (33 enodes) 1544000974.625 * * [misc]simplify: iters left: 3 (35 enodes) 1544000974.629 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544000974.630 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ 1 (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))) 1544000974.630 * * * * [misc]progress: [ 353 / 443 ] simplifiying candidate # 1544000974.630 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544000974.630 * * [misc]simplify: iters left: 6 (8 enodes) 1544000974.631 * * [misc]simplify: iters left: 5 (13 enodes) 1544000974.633 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544000974.633 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))) 1544000974.633 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544000974.633 * * [misc]simplify: iters left: 6 (14 enodes) 1544000974.637 * * [misc]simplify: iters left: 5 (22 enodes) 1544000974.643 * * [misc]simplify: iters left: 4 (28 enodes) 1544000974.650 * * [misc]simplify: iters left: 3 (30 enodes) 1544000974.657 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1544000974.658 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k)))))) 1544000974.658 * * * * [misc]progress: [ 354 / 443 ] simplifiying candidate # 1544000974.658 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 1544000974.658 * * [misc]simplify: iters left: 6 (10 enodes) 1544000974.660 * * [misc]simplify: iters left: 5 (15 enodes) 1544000974.662 * * [misc]simplify: iters left: 4 (18 enodes) 1544000974.664 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) 1544000974.664 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544000974.664 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000974.664 * * [misc]simplify: iters left: 6 (16 enodes) 1544000974.667 * * [misc]simplify: iters left: 5 (24 enodes) 1544000974.670 * * [misc]simplify: iters left: 4 (33 enodes) 1544000974.674 * * [misc]simplify: iters left: 3 (35 enodes) 1544000974.679 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000974.679 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544000974.679 * * * * [misc]progress: [ 355 / 443 ] simplifiying candidate # 1544000974.679 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt 1)) 1544000974.679 * * [misc]simplify: iters left: 6 (9 enodes) 1544000974.681 * * [misc]simplify: iters left: 5 (14 enodes) 1544000974.683 * * [misc]simplify: iters left: 4 (17 enodes) 1544000974.685 * * [misc]simplify: iters left: 3 (20 enodes) 1544000974.687 * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (sqrt k)))) 1544000974.687 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k)))))) 1544000974.687 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 1544000974.687 * * [misc]simplify: iters left: 6 (15 enodes) 1544000974.689 * * [misc]simplify: iters left: 5 (23 enodes) 1544000974.692 * * [misc]simplify: iters left: 4 (32 enodes) 1544000974.696 * * [misc]simplify: iters left: 3 (33 enodes) 1544000974.700 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544000974.700 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 1544000974.700 * * * * [misc]progress: [ 356 / 443 ] simplifiying candidate # 1544000974.701 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 1544000974.701 * * [misc]simplify: iters left: 6 (10 enodes) 1544000974.702 * * [misc]simplify: iters left: 5 (15 enodes) 1544000974.704 * * [misc]simplify: iters left: 4 (18 enodes) 1544000974.706 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) 1544000974.706 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544000974.706 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000974.706 * * [misc]simplify: iters left: 6 (16 enodes) 1544000974.710 * * [misc]simplify: iters left: 5 (24 enodes) 1544000974.717 * * [misc]simplify: iters left: 4 (33 enodes) 1544000974.725 * * [misc]simplify: iters left: 3 (35 enodes) 1544000974.737 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000974.737 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544000974.737 * * * * [misc]progress: [ 357 / 443 ] simplifiying candidate # 1544000974.737 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1) 1544000974.737 * * [misc]simplify: iters left: 6 (8 enodes) 1544000974.740 * * [misc]simplify: iters left: 5 (13 enodes) 1544000974.744 * * [misc]simplify: iters left: 4 (16 enodes) 1544000974.748 * * [misc]simplify: iters left: 3 (20 enodes) 1544000974.751 * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (sqrt k)))) 1544000974.751 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k)))))) 1544000974.752 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 1544000974.752 * * [misc]simplify: iters left: 6 (15 enodes) 1544000974.756 * * [misc]simplify: iters left: 5 (23 enodes) 1544000974.763 * * [misc]simplify: iters left: 4 (32 enodes) 1544000974.769 * * [misc]simplify: iters left: 3 (33 enodes) 1544000974.773 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544000974.773 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 1544000974.773 * * * * [misc]progress: [ 358 / 443 ] simplifiying candidate # 1544000974.774 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000974.774 * * [misc]simplify: iters left: 6 (9 enodes) 1544000974.775 * * [misc]simplify: iters left: 5 (15 enodes) 1544000974.777 * * [misc]simplify: iters left: 4 (21 enodes) 1544000974.780 * * [misc]simplify: iters left: 3 (26 enodes) 1544000974.783 * * [misc]simplify: iters left: 2 (27 enodes) 1544000974.786 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000974.786 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))) 1544000974.786 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544000974.786 * * [misc]simplify: iters left: 6 (15 enodes) 1544000974.789 * * [misc]simplify: iters left: 5 (23 enodes) 1544000974.792 * * [misc]simplify: iters left: 4 (32 enodes) 1544000974.796 * * [misc]simplify: iters left: 3 (33 enodes) 1544000974.800 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000974.800 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544000974.800 * * * * [misc]progress: [ 359 / 443 ] simplifiying candidate # 1544000974.800 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544000974.800 * * [misc]simplify: iters left: 6 (10 enodes) 1544000974.801 * * [misc]simplify: iters left: 5 (15 enodes) 1544000974.803 * * [misc]simplify: iters left: 4 (18 enodes) 1544000974.806 * [exit]simplify: Simplified to (/ 1 (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) 1544000974.806 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))) 1544000974.806 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544000974.806 * * [misc]simplify: iters left: 6 (16 enodes) 1544000974.808 * * [misc]simplify: iters left: 5 (24 enodes) 1544000974.811 * * [misc]simplify: iters left: 4 (33 enodes) 1544000974.815 * * [misc]simplify: iters left: 3 (35 enodes) 1544000974.820 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544000974.820 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))) 1544000974.820 * * * * [misc]progress: [ 360 / 443 ] simplifiying candidate # 1544000974.820 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000974.820 * * [misc]simplify: iters left: 6 (7 enodes) 1544000974.822 * * [misc]simplify: iters left: 5 (11 enodes) 1544000974.825 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1544000974.825 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (sqrt (sqrt k))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544000974.826 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000974.826 * * [misc]simplify: iters left: 6 (14 enodes) 1544000974.831 * * [misc]simplify: iters left: 5 (22 enodes) 1544000974.838 * * [misc]simplify: iters left: 4 (28 enodes) 1544000974.845 * * [misc]simplify: iters left: 3 (30 enodes) 1544000974.850 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1544000974.850 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))))) 1544000974.850 * * * * [misc]progress: [ 361 / 443 ] simplifiying candidate # 1544000974.850 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt 1)) 1544000974.850 * * [misc]simplify: iters left: 6 (8 enodes) 1544000974.852 * * [misc]simplify: iters left: 5 (12 enodes) 1544000974.854 * * [misc]simplify: iters left: 4 (15 enodes) 1544000974.855 * * [misc]simplify: iters left: 3 (18 enodes) 1544000974.857 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 1544000974.857 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544000974.857 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000974.857 * * [misc]simplify: iters left: 6 (14 enodes) 1544000974.859 * * [misc]simplify: iters left: 5 (22 enodes) 1544000974.862 * * [misc]simplify: iters left: 4 (31 enodes) 1544000974.866 * * [misc]simplify: iters left: 3 (32 enodes) 1544000974.872 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000974.872 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544000974.872 * * * * [misc]progress: [ 362 / 443 ] simplifiying candidate # 1544000974.872 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000974.872 * * [misc]simplify: iters left: 6 (7 enodes) 1544000974.873 * * [misc]simplify: iters left: 5 (11 enodes) 1544000974.874 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1544000974.874 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (sqrt (sqrt k))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544000974.875 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000974.875 * * [misc]simplify: iters left: 6 (14 enodes) 1544000974.877 * * [misc]simplify: iters left: 5 (22 enodes) 1544000974.880 * * [misc]simplify: iters left: 4 (28 enodes) 1544000974.883 * * [misc]simplify: iters left: 3 (30 enodes) 1544000974.887 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1544000974.887 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))))) 1544000974.887 * * * * [misc]progress: [ 363 / 443 ] simplifiying candidate # 1544000974.887 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) 1) 1544000974.887 * * [misc]simplify: iters left: 6 (7 enodes) 1544000974.888 * * [misc]simplify: iters left: 5 (11 enodes) 1544000974.890 * * [misc]simplify: iters left: 4 (14 enodes) 1544000974.892 * * [misc]simplify: iters left: 3 (17 enodes) 1544000974.893 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 1544000974.893 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544000974.894 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000974.894 * * [misc]simplify: iters left: 6 (14 enodes) 1544000974.896 * * [misc]simplify: iters left: 5 (22 enodes) 1544000974.899 * * [misc]simplify: iters left: 4 (31 enodes) 1544000974.902 * * [misc]simplify: iters left: 3 (32 enodes) 1544000974.910 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000974.910 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544000974.910 * * * * [misc]progress: [ 364 / 443 ] simplifiying candidate # 1544000974.910 * [enter]simplify: Simplifying (/ (/ 1 (sqrt 1)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000974.910 * * [misc]simplify: iters left: 6 (9 enodes) 1544000974.914 * * [misc]simplify: iters left: 5 (15 enodes) 1544000974.917 * * [misc]simplify: iters left: 4 (20 enodes) 1544000974.923 * * [misc]simplify: iters left: 3 (33 enodes) 1544000974.932 * * [misc]simplify: iters left: 2 (35 enodes) 1544000974.934 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000974.934 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 1544000974.934 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544000974.934 * * [misc]simplify: iters left: 6 (14 enodes) 1544000974.937 * * [misc]simplify: iters left: 5 (22 enodes) 1544000974.940 * * [misc]simplify: iters left: 4 (31 enodes) 1544000974.943 * * [misc]simplify: iters left: 3 (32 enodes) 1544000974.947 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000974.947 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544000974.948 * * * * [misc]progress: [ 365 / 443 ] simplifiying candidate # 1544000974.948 * [enter]simplify: Simplifying (/ (/ 1 (sqrt 1)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544000974.948 * * [misc]simplify: iters left: 6 (9 enodes) 1544000974.950 * * [misc]simplify: iters left: 5 (14 enodes) 1544000974.952 * * [misc]simplify: iters left: 4 (16 enodes) 1544000974.956 * * [misc]simplify: iters left: 3 (19 enodes) 1544000974.960 * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (sqrt k)))) 1544000974.960 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 1544000974.960 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544000974.960 * * [misc]simplify: iters left: 6 (15 enodes) 1544000974.965 * * [misc]simplify: iters left: 5 (23 enodes) 1544000974.971 * * [misc]simplify: iters left: 4 (32 enodes) 1544000974.979 * * [misc]simplify: iters left: 3 (33 enodes) 1544000974.988 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 1544000974.988 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k)))))) 1544000974.988 * * * * [misc]progress: [ 366 / 443 ] simplifiying candidate # 1544000974.988 * [enter]simplify: Simplifying (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt k)))) 1544000974.988 * * [misc]simplify: iters left: 5 (8 enodes) 1544000974.991 * * [misc]simplify: iters left: 4 (12 enodes) 1544000974.994 * * [misc]simplify: iters left: 3 (15 enodes) 1544000974.998 * * [misc]simplify: iters left: 2 (17 enodes) 1544000975.001 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 1544000975.001 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544000975.001 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544000975.001 * * [misc]simplify: iters left: 6 (14 enodes) 1544000975.005 * * [misc]simplify: iters left: 5 (22 enodes) 1544000975.011 * * [misc]simplify: iters left: 4 (31 enodes) 1544000975.019 * * [misc]simplify: iters left: 3 (32 enodes) 1544000975.027 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000975.028 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544000975.028 * * * * [misc]progress: [ 367 / 443 ] simplifiying candidate # 1544000975.028 * [enter]simplify: Simplifying (/ (/ 1 (sqrt 1)) (sqrt 1)) 1544000975.028 * * [misc]simplify: iters left: 5 (4 enodes) 1544000975.031 * * [misc]simplify: iters left: 4 (8 enodes) 1544000975.031 * [exit]simplify: Simplified to 1 1544000975.031 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* 1 (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))) 1544000975.032 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544000975.032 * * [misc]simplify: iters left: 6 (13 enodes) 1544000975.036 * * [misc]simplify: iters left: 5 (21 enodes) 1544000975.042 * * [misc]simplify: iters left: 4 (27 enodes) 1544000975.049 * * [misc]simplify: iters left: 3 (30 enodes) 1544000975.056 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1544000975.056 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* 1 (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k))))) 1544000975.056 * * * * [misc]progress: [ 368 / 443 ] simplifiying candidate # 1544000975.057 * [enter]simplify: Simplifying (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt k)))) 1544000975.057 * * [misc]simplify: iters left: 5 (8 enodes) 1544000975.060 * * [misc]simplify: iters left: 4 (12 enodes) 1544000975.062 * * [misc]simplify: iters left: 3 (15 enodes) 1544000975.064 * * [misc]simplify: iters left: 2 (17 enodes) 1544000975.066 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 1544000975.066 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544000975.066 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544000975.066 * * [misc]simplify: iters left: 6 (14 enodes) 1544000975.068 * * [misc]simplify: iters left: 5 (22 enodes) 1544000975.071 * * [misc]simplify: iters left: 4 (31 enodes) 1544000975.075 * * [misc]simplify: iters left: 3 (32 enodes) 1544000975.079 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000975.079 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544000975.079 * * * * [misc]progress: [ 369 / 443 ] simplifiying candidate # 1544000975.079 * [enter]simplify: Simplifying (/ (/ 1 (sqrt 1)) 1) 1544000975.079 * * [misc]simplify: iters left: 5 (4 enodes) 1544000975.081 * * [misc]simplify: iters left: 4 (8 enodes) 1544000975.081 * [exit]simplify: Simplified to 1 1544000975.081 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* 1 (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))) 1544000975.081 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544000975.081 * * [misc]simplify: iters left: 6 (13 enodes) 1544000975.084 * * [misc]simplify: iters left: 5 (21 enodes) 1544000975.086 * * [misc]simplify: iters left: 4 (27 enodes) 1544000975.090 * * [misc]simplify: iters left: 3 (30 enodes) 1544000975.093 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1544000975.093 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* 1 (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k))))) 1544000975.094 * * * * [misc]progress: [ 370 / 443 ] simplifiying candidate # 1544000975.094 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000975.094 * * [misc]simplify: iters left: 6 (9 enodes) 1544000975.095 * * [misc]simplify: iters left: 5 (15 enodes) 1544000975.097 * * [misc]simplify: iters left: 4 (21 enodes) 1544000975.100 * * [misc]simplify: iters left: 3 (26 enodes) 1544000975.103 * * [misc]simplify: iters left: 2 (27 enodes) 1544000975.108 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000975.109 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))) 1544000975.109 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544000975.109 * * [misc]simplify: iters left: 6 (15 enodes) 1544000975.114 * * [misc]simplify: iters left: 5 (23 enodes) 1544000975.120 * * [misc]simplify: iters left: 4 (32 enodes) 1544000975.128 * * [misc]simplify: iters left: 3 (33 enodes) 1544000975.136 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000975.136 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544000975.136 * * * * [misc]progress: [ 371 / 443 ] simplifiying candidate # 1544000975.136 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544000975.137 * * [misc]simplify: iters left: 6 (10 enodes) 1544000975.139 * * [misc]simplify: iters left: 5 (15 enodes) 1544000975.143 * * [misc]simplify: iters left: 4 (18 enodes) 1544000975.148 * [exit]simplify: Simplified to (/ 1 (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) 1544000975.148 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))) 1544000975.149 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544000975.149 * * [misc]simplify: iters left: 6 (16 enodes) 1544000975.154 * * [misc]simplify: iters left: 5 (24 enodes) 1544000975.160 * * [misc]simplify: iters left: 4 (33 enodes) 1544000975.167 * * [misc]simplify: iters left: 3 (35 enodes) 1544000975.172 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544000975.172 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))) 1544000975.172 * * * * [misc]progress: [ 372 / 443 ] simplifiying candidate # 1544000975.172 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000975.172 * * [misc]simplify: iters left: 6 (7 enodes) 1544000975.173 * * [misc]simplify: iters left: 5 (11 enodes) 1544000975.176 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1544000975.176 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (sqrt (sqrt k))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544000975.176 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000975.176 * * [misc]simplify: iters left: 6 (14 enodes) 1544000975.181 * * [misc]simplify: iters left: 5 (22 enodes) 1544000975.187 * * [misc]simplify: iters left: 4 (28 enodes) 1544000975.194 * * [misc]simplify: iters left: 3 (30 enodes) 1544000975.201 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1544000975.201 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))))) 1544000975.201 * * * * [misc]progress: [ 373 / 443 ] simplifiying candidate # 1544000975.202 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt 1)) 1544000975.202 * * [misc]simplify: iters left: 6 (8 enodes) 1544000975.205 * * [misc]simplify: iters left: 5 (12 enodes) 1544000975.208 * * [misc]simplify: iters left: 4 (15 enodes) 1544000975.212 * * [misc]simplify: iters left: 3 (18 enodes) 1544000975.214 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 1544000975.214 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544000975.215 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000975.215 * * [misc]simplify: iters left: 6 (14 enodes) 1544000975.217 * * [misc]simplify: iters left: 5 (22 enodes) 1544000975.220 * * [misc]simplify: iters left: 4 (31 enodes) 1544000975.224 * * [misc]simplify: iters left: 3 (32 enodes) 1544000975.228 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000975.228 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544000975.228 * * * * [misc]progress: [ 374 / 443 ] simplifiying candidate # 1544000975.228 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000975.228 * * [misc]simplify: iters left: 6 (7 enodes) 1544000975.229 * * [misc]simplify: iters left: 5 (11 enodes) 1544000975.230 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1544000975.230 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (sqrt (sqrt k))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544000975.231 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544000975.231 * * [misc]simplify: iters left: 6 (14 enodes) 1544000975.234 * * [misc]simplify: iters left: 5 (22 enodes) 1544000975.241 * * [misc]simplify: iters left: 4 (28 enodes) 1544000975.248 * * [misc]simplify: iters left: 3 (30 enodes) 1544000975.255 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1544000975.255 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))))) 1544000975.255 * * * * [misc]progress: [ 375 / 443 ] simplifiying candidate # 1544000975.255 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) 1) 1544000975.255 * * [misc]simplify: iters left: 6 (7 enodes) 1544000975.257 * * [misc]simplify: iters left: 5 (11 enodes) 1544000975.261 * * [misc]simplify: iters left: 4 (14 enodes) 1544000975.265 * * [misc]simplify: iters left: 3 (17 enodes) 1544000975.268 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 1544000975.268 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544000975.268 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000975.268 * * [misc]simplify: iters left: 6 (14 enodes) 1544000975.272 * * [misc]simplify: iters left: 5 (22 enodes) 1544000975.278 * * [misc]simplify: iters left: 4 (31 enodes) 1544000975.286 * * [misc]simplify: iters left: 3 (32 enodes) 1544000975.295 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000975.296 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544000975.296 * * * * [misc]progress: [ 376 / 443 ] simplifiying candidate # 1544000975.296 * [enter]simplify: Simplifying (/ (/ 1 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000975.296 * * [misc]simplify: iters left: 6 (8 enodes) 1544000975.298 * * [misc]simplify: iters left: 5 (12 enodes) 1544000975.300 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544000975.300 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 1544000975.300 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544000975.301 * * [misc]simplify: iters left: 6 (14 enodes) 1544000975.303 * * [misc]simplify: iters left: 5 (22 enodes) 1544000975.305 * * [misc]simplify: iters left: 4 (31 enodes) 1544000975.309 * * [misc]simplify: iters left: 3 (32 enodes) 1544000975.313 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000975.314 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544000975.314 * * * * [misc]progress: [ 377 / 443 ] simplifiying candidate # 1544000975.314 * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544000975.314 * * [misc]simplify: iters left: 6 (8 enodes) 1544000975.315 * * [misc]simplify: iters left: 5 (11 enodes) 1544000975.316 * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (sqrt k)))) 1544000975.316 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 1544000975.317 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544000975.317 * * [misc]simplify: iters left: 6 (15 enodes) 1544000975.319 * * [misc]simplify: iters left: 5 (23 enodes) 1544000975.322 * * [misc]simplify: iters left: 4 (32 enodes) 1544000975.326 * * [misc]simplify: iters left: 3 (33 enodes) 1544000975.330 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 1544000975.330 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k)))))) 1544000975.330 * * * * [misc]progress: [ 378 / 443 ] simplifiying candidate # 1544000975.330 * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (sqrt (sqrt k)))) 1544000975.330 * * [misc]simplify: iters left: 5 (7 enodes) 1544000975.331 * * [misc]simplify: iters left: 4 (9 enodes) 1544000975.332 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 1544000975.332 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544000975.332 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544000975.332 * * [misc]simplify: iters left: 6 (14 enodes) 1544000975.334 * * [misc]simplify: iters left: 5 (22 enodes) 1544000975.337 * * [misc]simplify: iters left: 4 (31 enodes) 1544000975.341 * * [misc]simplify: iters left: 3 (32 enodes) 1544000975.345 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000975.345 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544000975.345 * * * * [misc]progress: [ 379 / 443 ] simplifiying candidate # 1544000975.345 * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt 1)) 1544000975.345 * * [misc]simplify: iters left: 4 (4 enodes) 1544000975.347 * * [misc]simplify: iters left: 3 (6 enodes) 1544000975.347 * [exit]simplify: Simplified to 1 1544000975.347 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* 1 (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))) 1544000975.347 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544000975.347 * * [misc]simplify: iters left: 6 (13 enodes) 1544000975.349 * * [misc]simplify: iters left: 5 (21 enodes) 1544000975.352 * * [misc]simplify: iters left: 4 (27 enodes) 1544000975.355 * * [misc]simplify: iters left: 3 (30 enodes) 1544000975.359 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1544000975.359 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* 1 (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k))))) 1544000975.359 * * * * [misc]progress: [ 380 / 443 ] simplifiying candidate # 1544000975.359 * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (sqrt (sqrt k)))) 1544000975.359 * * [misc]simplify: iters left: 5 (7 enodes) 1544000975.361 * * [misc]simplify: iters left: 4 (9 enodes) 1544000975.364 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 1544000975.364 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544000975.364 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544000975.364 * * [misc]simplify: iters left: 6 (14 enodes) 1544000975.368 * * [misc]simplify: iters left: 5 (22 enodes) 1544000975.374 * * [misc]simplify: iters left: 4 (31 enodes) 1544000975.384 * * [misc]simplify: iters left: 3 (32 enodes) 1544000975.392 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000975.392 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544000975.392 * * * * [misc]progress: [ 381 / 443 ] simplifiying candidate # 1544000975.392 * [enter]simplify: Simplifying (/ (/ 1 1) 1) 1544000975.393 * * [misc]simplify: iters left: 4 (3 enodes) 1544000975.394 * * [misc]simplify: iters left: 3 (5 enodes) 1544000975.394 * [exit]simplify: Simplified to 1 1544000975.394 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* 1 (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))) 1544000975.395 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544000975.395 * * [misc]simplify: iters left: 6 (13 enodes) 1544000975.399 * * [misc]simplify: iters left: 5 (21 enodes) 1544000975.405 * * [misc]simplify: iters left: 4 (27 enodes) 1544000975.412 * * [misc]simplify: iters left: 3 (30 enodes) 1544000975.420 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1544000975.420 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* 1 (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k))))) 1544000975.420 * * * * [misc]progress: [ 382 / 443 ] simplifiying candidate # 1544000975.420 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000975.420 * * [misc]simplify: iters left: 6 (7 enodes) 1544000975.422 * * [misc]simplify: iters left: 5 (11 enodes) 1544000975.425 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544000975.425 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 1544000975.426 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544000975.426 * * [misc]simplify: iters left: 6 (14 enodes) 1544000975.430 * * [misc]simplify: iters left: 5 (22 enodes) 1544000975.437 * * [misc]simplify: iters left: 4 (31 enodes) 1544000975.445 * * [misc]simplify: iters left: 3 (32 enodes) 1544000975.453 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000975.453 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544000975.453 * * * * [misc]progress: [ 383 / 443 ] simplifiying candidate # 1544000975.454 * [enter]simplify: Simplifying (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544000975.454 * * [misc]simplify: iters left: 6 (7 enodes) 1544000975.456 * * [misc]simplify: iters left: 5 (10 enodes) 1544000975.459 * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (sqrt k)))) 1544000975.459 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 1544000975.459 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544000975.460 * * [misc]simplify: iters left: 6 (15 enodes) 1544000975.462 * * [misc]simplify: iters left: 5 (23 enodes) 1544000975.466 * * [misc]simplify: iters left: 4 (32 enodes) 1544000975.470 * * [misc]simplify: iters left: 3 (33 enodes) 1544000975.474 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 1544000975.474 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k)))))) 1544000975.474 * * * * [misc]progress: [ 384 / 443 ] simplifiying candidate # 1544000975.474 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (sqrt k)))) 1544000975.474 * * [misc]simplify: iters left: 5 (6 enodes) 1544000975.475 * * [misc]simplify: iters left: 4 (8 enodes) 1544000975.476 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 1544000975.476 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544000975.477 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544000975.477 * * [misc]simplify: iters left: 6 (14 enodes) 1544000975.479 * * [misc]simplify: iters left: 5 (22 enodes) 1544000975.485 * * [misc]simplify: iters left: 4 (31 enodes) 1544000975.493 * * [misc]simplify: iters left: 3 (32 enodes) 1544000975.501 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000975.501 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544000975.501 * * * * [misc]progress: [ 385 / 443 ] simplifiying candidate # 1544000975.501 * [enter]simplify: Simplifying (/ 1 (sqrt 1)) 1544000975.501 * * [misc]simplify: iters left: 3 (3 enodes) 1544000975.503 * * [misc]simplify: iters left: 2 (5 enodes) 1544000975.504 * [exit]simplify: Simplified to 1 1544000975.504 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* 1 (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))) 1544000975.504 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544000975.504 * * [misc]simplify: iters left: 6 (13 enodes) 1544000975.506 * * [misc]simplify: iters left: 5 (21 enodes) 1544000975.510 * * [misc]simplify: iters left: 4 (27 enodes) 1544000975.516 * * [misc]simplify: iters left: 3 (30 enodes) 1544000975.523 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1544000975.523 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* 1 (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k))))) 1544000975.523 * * * * [misc]progress: [ 386 / 443 ] simplifiying candidate # 1544000975.523 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (sqrt k)))) 1544000975.523 * * [misc]simplify: iters left: 5 (6 enodes) 1544000975.525 * * [misc]simplify: iters left: 4 (8 enodes) 1544000975.527 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 1544000975.527 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544000975.527 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544000975.527 * * [misc]simplify: iters left: 6 (14 enodes) 1544000975.531 * * [misc]simplify: iters left: 5 (22 enodes) 1544000975.536 * * [misc]simplify: iters left: 4 (31 enodes) 1544000975.543 * * [misc]simplify: iters left: 3 (32 enodes) 1544000975.550 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544000975.551 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544000975.551 * * * * [misc]progress: [ 387 / 443 ] simplifiying candidate # 1544000975.551 * [enter]simplify: Simplifying (/ 1 1) 1544000975.551 * * [misc]simplify: iters left: 2 (2 enodes) 1544000975.552 * * [misc]simplify: iters left: 1 (4 enodes) 1544000975.552 * [exit]simplify: Simplified to 1 1544000975.552 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* 1 (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))) 1544000975.553 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544000975.553 * * [misc]simplify: iters left: 6 (13 enodes) 1544000975.556 * * [misc]simplify: iters left: 5 (21 enodes) 1544000975.562 * * [misc]simplify: iters left: 4 (27 enodes) 1544000975.568 * * [misc]simplify: iters left: 3 (30 enodes) 1544000975.575 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1544000975.575 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* 1 (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k))))) 1544000975.575 * * * * [misc]progress: [ 388 / 443 ] simplifiying candidate # 1544000975.575 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000975.575 * * [misc]simplify: iters left: 6 (14 enodes) 1544000975.579 * * [misc]simplify: iters left: 5 (22 enodes) 1544000975.585 * * [misc]simplify: iters left: 4 (28 enodes) 1544000975.592 * * [misc]simplify: iters left: 3 (29 enodes) 1544000975.596 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000975.596 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow (* (* 2 n) PI) (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 1544000975.596 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544000975.596 * * [misc]simplify: iters left: 6 (7 enodes) 1544000975.597 * * [misc]simplify: iters left: 5 (11 enodes) 1544000975.599 * * [misc]simplify: iters left: 4 (14 enodes) 1544000975.600 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544000975.600 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow (* PI (* n 2)) (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 1544000975.601 * * * * [misc]progress: [ 389 / 443 ] simplifiying candidate # 1544000975.601 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544000975.601 * * [misc]simplify: iters left: 6 (14 enodes) 1544000975.603 * * [misc]simplify: iters left: 5 (21 enodes) 1544000975.606 * * [misc]simplify: iters left: 4 (27 enodes) 1544000975.609 * * [misc]simplify: iters left: 3 (29 enodes) 1544000975.613 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (fabs (cbrt (sqrt k)))) 1544000975.613 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow (* (* 2 n) PI) (- (/ k 2))) (fabs (cbrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 1544000975.613 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544000975.614 * * [misc]simplify: iters left: 6 (8 enodes) 1544000975.615 * * [misc]simplify: iters left: 5 (12 enodes) 1544000975.616 * * [misc]simplify: iters left: 4 (15 enodes) 1544000975.618 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544000975.618 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow (* (* 2 n) PI) (- (/ k 2))) (fabs (cbrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 1544000975.618 * * * * [misc]progress: [ 390 / 443 ] simplifiying candidate # 1544000975.619 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) 1544000975.619 * * [misc]simplify: iters left: 6 (13 enodes) 1544000975.621 * * [misc]simplify: iters left: 5 (19 enodes) 1544000975.624 * * [misc]simplify: iters left: 4 (25 enodes) 1544000975.628 * * [misc]simplify: iters left: 3 (26 enodes) 1544000975.634 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) 1544000975.634 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544000975.635 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544000975.635 * * [misc]simplify: iters left: 6 (7 enodes) 1544000975.637 * * [misc]simplify: iters left: 5 (11 enodes) 1544000975.640 * * [misc]simplify: iters left: 4 (14 enodes) 1544000975.644 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544000975.644 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544000975.644 * * * * [misc]progress: [ 391 / 443 ] simplifiying candidate # 1544000975.645 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt 1)) 1544000975.645 * * [misc]simplify: iters left: 6 (12 enodes) 1544000975.649 * * [misc]simplify: iters left: 5 (20 enodes) 1544000975.654 * * [misc]simplify: iters left: 4 (26 enodes) 1544000975.661 * * [misc]simplify: iters left: 3 (30 enodes) 1544000975.668 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (- (/ k 2))) 1544000975.668 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (pow (* (* 2 n) PI) (- (/ k 2))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k)))))) 1544000975.668 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) 1544000975.668 * * [misc]simplify: iters left: 6 (6 enodes) 1544000975.670 * * [misc]simplify: iters left: 5 (10 enodes) 1544000975.673 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1544000975.673 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (pow (* (* 2 n) PI) (- (/ k 2))) (/ 1 (sqrt k))))) 1544000975.673 * * * * [misc]progress: [ 392 / 443 ] simplifiying candidate # 1544000975.673 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) 1544000975.673 * * [misc]simplify: iters left: 6 (13 enodes) 1544000975.677 * * [misc]simplify: iters left: 5 (19 enodes) 1544000975.682 * * [misc]simplify: iters left: 4 (25 enodes) 1544000975.689 * * [misc]simplify: iters left: 3 (26 enodes) 1544000975.695 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) 1544000975.695 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544000975.695 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544000975.695 * * [misc]simplify: iters left: 6 (7 enodes) 1544000975.696 * * [misc]simplify: iters left: 5 (11 enodes) 1544000975.698 * * [misc]simplify: iters left: 4 (14 enodes) 1544000975.699 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544000975.699 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544000975.699 * * * * [misc]progress: [ 393 / 443 ] simplifiying candidate # 1544000975.700 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) 1) 1544000975.700 * * [misc]simplify: iters left: 6 (11 enodes) 1544000975.701 * * [misc]simplify: iters left: 5 (19 enodes) 1544000975.704 * * [misc]simplify: iters left: 4 (27 enodes) 1544000975.707 * * [misc]simplify: iters left: 3 (28 enodes) 1544000975.710 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (- (/ k 2))) 1544000975.710 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (pow (* (* 2 n) PI) (- (/ k 2))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k)))))) 1544000975.710 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) 1544000975.710 * * [misc]simplify: iters left: 6 (6 enodes) 1544000975.711 * * [misc]simplify: iters left: 5 (10 enodes) 1544000975.713 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1544000975.713 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (pow (* (* 2 n) PI) (- (/ k 2))) (/ 1 (sqrt k))))) 1544000975.713 * * * * [misc]progress: [ 394 / 443 ] simplifiying candidate # 1544000975.713 * * * * [misc]progress: [ 395 / 443 ] simplifiying candidate # 1544000975.713 * * * * [misc]progress: [ 396 / 443 ] simplifiying candidate # 1544000975.713 * * * * [misc]progress: [ 397 / 443 ] simplifiying candidate # 1544000975.713 * [enter]simplify: Simplifying (cbrt (sqrt (sqrt k))) 1544000975.713 * * [misc]simplify: iters left: 3 (4 enodes) 1544000975.714 * [exit]simplify: Simplified to (cbrt (sqrt (sqrt k))) 1544000975.714 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (cbrt (sqrt (sqrt k)))))) 1544000975.714 * * * * [misc]progress: [ 398 / 443 ] simplifiying candidate # 1544000975.714 * [enter]simplify: Simplifying (sqrt (cbrt (sqrt k))) 1544000975.714 * * [misc]simplify: iters left: 3 (4 enodes) 1544000975.715 * [exit]simplify: Simplified to (sqrt (cbrt (sqrt k))) 1544000975.715 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (cbrt (sqrt k)))))) 1544000975.715 * * * * [misc]progress: [ 399 / 443 ] simplifiying candidate # 1544000975.715 * [enter]simplify: Simplifying (sqrt (sqrt (sqrt k))) 1544000975.715 * * [misc]simplify: iters left: 3 (4 enodes) 1544000975.715 * [exit]simplify: Simplified to (sqrt (sqrt (sqrt k))) 1544000975.715 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544000975.716 * * * * [misc]progress: [ 400 / 443 ] simplifiying candidate # 1544000975.716 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1544000975.716 * * [misc]simplify: iters left: 2 (3 enodes) 1544000975.716 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1544000975.716 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt 1)) (sqrt (sqrt k))))) 1544000975.716 * * * * [misc]progress: [ 401 / 443 ] simplifiying candidate # 1544000975.716 * [enter]simplify: Simplifying (sqrt (sqrt (sqrt k))) 1544000975.716 * * [misc]simplify: iters left: 3 (4 enodes) 1544000975.717 * [exit]simplify: Simplified to (sqrt (sqrt (sqrt k))) 1544000975.717 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544000975.717 * * * * [misc]progress: [ 402 / 443 ] simplifiying candidate # 1544000975.717 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1544000975.717 * * [misc]simplify: iters left: 2 (3 enodes) 1544000975.718 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1544000975.718 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1) (sqrt (sqrt k))))) 1544000975.718 * * * * [misc]progress: [ 403 / 443 ] simplifiying candidate # 1544000975.718 * [enter]simplify: Simplifying (* (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))))) 1544000975.718 * * [misc]simplify: iters left: 6 (14 enodes) 1544000975.720 * * [misc]simplify: iters left: 5 (20 enodes) 1544000975.723 * * [misc]simplify: iters left: 4 (26 enodes) 1544000975.726 * * [misc]simplify: iters left: 3 (28 enodes) 1544000975.730 * [exit]simplify: Simplified to (* (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))))) 1544000975.730 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (* (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))))))) 1544000975.730 * * * * [misc]progress: [ 404 / 443 ] simplifiying candidate # 1544000975.730 * [enter]simplify: Simplifying (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) 1544000975.730 * * [misc]simplify: iters left: 6 (13 enodes) 1544000975.733 * * [misc]simplify: iters left: 5 (19 enodes) 1544000975.735 * * [misc]simplify: iters left: 4 (25 enodes) 1544000975.739 * * [misc]simplify: iters left: 3 (26 enodes) 1544000975.742 * [exit]simplify: Simplified to (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) 1544000975.742 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))))))) 1544000975.742 * * * * [misc]progress: [ 405 / 443 ] simplifiying candidate # 1544000975.743 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000975.743 * * [misc]simplify: iters left: 6 (11 enodes) 1544000975.744 * * [misc]simplify: iters left: 5 (15 enodes) 1544000975.746 * [exit]simplify: Simplified to (/ (pow PI (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000975.746 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt (sqrt k)))))))) 1544000975.746 * * * * [misc]progress: [ 406 / 443 ] simplifiying candidate # 1544000975.747 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544000975.747 * * [misc]simplify: iters left: 6 (11 enodes) 1544000975.748 * * [misc]simplify: iters left: 5 (14 enodes) 1544000975.750 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (fabs (cbrt (sqrt k)))) 1544000975.750 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (/ (- k) 2)) (fabs (cbrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (pow (* n 2) (- (/ k 2))) (sqrt (cbrt (sqrt k)))))))) 1544000975.750 * * * * [misc]progress: [ 407 / 443 ] simplifiying candidate # 1544000975.750 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (sqrt (sqrt (sqrt k)))) 1544000975.750 * * [misc]simplify: iters left: 6 (10 enodes) 1544000975.752 * * [misc]simplify: iters left: 5 (12 enodes) 1544000975.755 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) 1544000975.756 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))))))) 1544000975.756 * * * * [misc]progress: [ 408 / 443 ] simplifiying candidate # 1544000975.756 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (sqrt 1)) 1544000975.756 * * [misc]simplify: iters left: 6 (9 enodes) 1544000975.759 * * [misc]simplify: iters left: 5 (13 enodes) 1544000975.762 * [exit]simplify: Simplified to (pow PI (- (/ k 2))) 1544000975.762 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))))))) 1544000975.762 * * * * [misc]progress: [ 409 / 443 ] simplifiying candidate # 1544000975.763 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (sqrt (sqrt (sqrt k)))) 1544000975.763 * * [misc]simplify: iters left: 6 (10 enodes) 1544000975.766 * * [misc]simplify: iters left: 5 (12 enodes) 1544000975.769 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) 1544000975.769 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))))))) 1544000975.769 * * * * [misc]progress: [ 410 / 443 ] simplifiying candidate # 1544000975.770 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) 1) 1544000975.770 * * [misc]simplify: iters left: 6 (8 enodes) 1544000975.772 * * [misc]simplify: iters left: 5 (12 enodes) 1544000975.775 * * [misc]simplify: iters left: 4 (14 enodes) 1544000975.778 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1544000975.778 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow PI (/ (- k) 2)) (/ (sqrt (sqrt k)) (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))))))) 1544000975.778 * * * * [misc]progress: [ 411 / 443 ] simplifiying candidate # 1544000975.779 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000975.779 * * [misc]simplify: iters left: 6 (16 enodes) 1544000975.784 * * [misc]simplify: iters left: 5 (28 enodes) 1544000975.792 * * [misc]simplify: iters left: 4 (43 enodes) 1544000975.804 * * [misc]simplify: iters left: 3 (48 enodes) 1544000975.816 * * [misc]simplify: iters left: 2 (51 enodes) 1544000975.829 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt (sqrt k))))) 1544000975.829 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))))))) 1544000975.829 * * * * [misc]progress: [ 412 / 443 ] simplifiying candidate # 1544000975.829 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544000975.829 * * [misc]simplify: iters left: 6 (16 enodes) 1544000975.834 * * [misc]simplify: iters left: 5 (25 enodes) 1544000975.841 * * [misc]simplify: iters left: 4 (33 enodes) 1544000975.849 * * [misc]simplify: iters left: 3 (36 enodes) 1544000975.858 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (fabs (cbrt (sqrt k)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) 1544000975.858 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (fabs (cbrt (sqrt k)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (/ (sqrt (sqrt k)) (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))))))) 1544000975.858 * * * * [misc]progress: [ 413 / 443 ] simplifiying candidate # 1544000975.859 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) 1544000975.859 * * [misc]simplify: iters left: 6 (15 enodes) 1544000975.865 * * [misc]simplify: iters left: 5 (23 enodes) 1544000975.872 * * [misc]simplify: iters left: 4 (31 enodes) 1544000975.880 * * [misc]simplify: iters left: 3 (33 enodes) 1544000975.888 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) 1544000975.888 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))))))) 1544000975.888 * * * * [misc]progress: [ 414 / 443 ] simplifiying candidate # 1544000975.888 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt 1)) 1544000975.888 * * [misc]simplify: iters left: 6 (14 enodes) 1544000975.891 * * [misc]simplify: iters left: 5 (24 enodes) 1544000975.894 * * [misc]simplify: iters left: 4 (32 enodes) 1544000975.898 * * [misc]simplify: iters left: 3 (34 enodes) 1544000975.902 * * [misc]simplify: iters left: 2 (40 enodes) 1544000975.906 * * [misc]simplify: iters left: 1 (42 enodes) 1544000975.910 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) 1544000975.910 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (/ (sqrt (sqrt k)) (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))))))) 1544000975.910 * * * * [misc]progress: [ 415 / 443 ] simplifiying candidate # 1544000975.910 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) 1544000975.911 * * [misc]simplify: iters left: 6 (15 enodes) 1544000975.914 * * [misc]simplify: iters left: 5 (23 enodes) 1544000975.921 * * [misc]simplify: iters left: 4 (31 enodes) 1544000975.929 * * [misc]simplify: iters left: 3 (33 enodes) 1544000975.938 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) 1544000975.938 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))))))) 1544000975.938 * * * * [misc]progress: [ 416 / 443 ] simplifiying candidate # 1544000975.938 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) 1) 1544000975.939 * * [misc]simplify: iters left: 6 (13 enodes) 1544000975.943 * * [misc]simplify: iters left: 5 (23 enodes) 1544000975.950 * * [misc]simplify: iters left: 4 (35 enodes) 1544000975.959 * * [misc]simplify: iters left: 3 (50 enodes) 1544000975.971 * * [misc]simplify: iters left: 2 (76 enodes) 1544000975.992 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) 1544000975.992 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (/ (sqrt (sqrt k)) (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))))))) 1544000975.993 * * * * [misc]progress: [ 417 / 443 ] simplifiying candidate # 1544000975.993 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000975.993 * * [misc]simplify: iters left: 6 (15 enodes) 1544000975.998 * * [misc]simplify: iters left: 5 (23 enodes) 1544000976.004 * * [misc]simplify: iters left: 4 (29 enodes) 1544000976.012 * * [misc]simplify: iters left: 3 (30 enodes) 1544000976.020 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000976.020 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))))))) 1544000976.020 * * * * [misc]progress: [ 418 / 443 ] simplifiying candidate # 1544000976.021 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544000976.021 * * [misc]simplify: iters left: 6 (15 enodes) 1544000976.025 * * [misc]simplify: iters left: 5 (22 enodes) 1544000976.031 * * [misc]simplify: iters left: 4 (28 enodes) 1544000976.038 * * [misc]simplify: iters left: 3 (29 enodes) 1544000976.045 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (fabs (cbrt (sqrt k)))) 1544000976.045 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (fabs (cbrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))))))) 1544000976.045 * * * * [misc]progress: [ 419 / 443 ] simplifiying candidate # 1544000976.046 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1544000976.046 * * [misc]simplify: iters left: 6 (14 enodes) 1544000976.050 * * [misc]simplify: iters left: 5 (20 enodes) 1544000976.055 * * [misc]simplify: iters left: 4 (26 enodes) 1544000976.062 * * [misc]simplify: iters left: 3 (28 enodes) 1544000976.069 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1544000976.069 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))))))) 1544000976.069 * * * * [misc]progress: [ 420 / 443 ] simplifiying candidate # 1544000976.070 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt 1)) 1544000976.070 * * [misc]simplify: iters left: 6 (13 enodes) 1544000976.073 * * [misc]simplify: iters left: 5 (21 enodes) 1544000976.075 * * [misc]simplify: iters left: 4 (27 enodes) 1544000976.079 * * [misc]simplify: iters left: 3 (31 enodes) 1544000976.082 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) 1544000976.082 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))))))) 1544000976.082 * * * * [misc]progress: [ 421 / 443 ] simplifiying candidate # 1544000976.083 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1544000976.083 * * [misc]simplify: iters left: 6 (14 enodes) 1544000976.085 * * [misc]simplify: iters left: 5 (20 enodes) 1544000976.087 * * [misc]simplify: iters left: 4 (26 enodes) 1544000976.091 * * [misc]simplify: iters left: 3 (28 enodes) 1544000976.094 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1544000976.094 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))))))) 1544000976.094 * * * * [misc]progress: [ 422 / 443 ] simplifiying candidate # 1544000976.094 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) 1) 1544000976.094 * * [misc]simplify: iters left: 6 (12 enodes) 1544000976.096 * * [misc]simplify: iters left: 5 (20 enodes) 1544000976.099 * * [misc]simplify: iters left: 4 (28 enodes) 1544000976.102 * * [misc]simplify: iters left: 3 (30 enodes) 1544000976.107 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) 1544000976.107 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))))))) 1544000976.107 * * * * [misc]progress: [ 423 / 443 ] simplifiying candidate # 1544000976.107 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544000976.107 * * [misc]simplify: iters left: 6 (7 enodes) 1544000976.108 * * [misc]simplify: iters left: 5 (11 enodes) 1544000976.109 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544000976.109 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))))))) 1544000976.109 * * * * [misc]progress: [ 424 / 443 ] simplifiying candidate # 1544000976.110 * [enter]simplify: Simplifying (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544000976.110 * * [misc]simplify: iters left: 6 (7 enodes) 1544000976.111 * * [misc]simplify: iters left: 5 (10 enodes) 1544000976.112 * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (sqrt k)))) 1544000976.112 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (/ 1 (fabs (cbrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))))))) 1544000976.112 * * * * [misc]progress: [ 425 / 443 ] simplifiying candidate # 1544000976.112 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (sqrt k)))) 1544000976.112 * * [misc]simplify: iters left: 5 (6 enodes) 1544000976.113 * * [misc]simplify: iters left: 4 (8 enodes) 1544000976.114 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 1544000976.114 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))))))) 1544000976.114 * * * * [misc]progress: [ 426 / 443 ] simplifiying candidate # 1544000976.114 * [enter]simplify: Simplifying (/ 1 (sqrt 1)) 1544000976.114 * * [misc]simplify: iters left: 3 (3 enodes) 1544000976.115 * * [misc]simplify: iters left: 2 (5 enodes) 1544000976.116 * [exit]simplify: Simplified to 1 1544000976.116 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ 1 (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))))))) 1544000976.116 * * * * [misc]progress: [ 427 / 443 ] simplifiying candidate # 1544000976.116 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (sqrt k)))) 1544000976.116 * * [misc]simplify: iters left: 5 (6 enodes) 1544000976.117 * * [misc]simplify: iters left: 4 (8 enodes) 1544000976.118 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 1544000976.118 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))))))) 1544000976.118 * * * * [misc]progress: [ 428 / 443 ] simplifiying candidate # 1544000976.118 * [enter]simplify: Simplifying (/ 1 1) 1544000976.118 * * [misc]simplify: iters left: 2 (2 enodes) 1544000976.118 * * [misc]simplify: iters left: 1 (4 enodes) 1544000976.119 * [exit]simplify: Simplified to 1 1544000976.119 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ 1 (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))))))) 1544000976.119 * * * * [misc]progress: [ 429 / 443 ] simplifiying candidate # 1544000976.119 * * * * [misc]progress: [ 430 / 443 ] simplifiying candidate # 1544000976.119 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1544000976.119 * * [misc]simplify: iters left: 5 (9 enodes) 1544000976.122 * * [misc]simplify: iters left: 4 (15 enodes) 1544000976.126 * * [misc]simplify: iters left: 3 (21 enodes) 1544000976.131 * * [misc]simplify: iters left: 2 (22 enodes) 1544000976.137 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1544000976.137 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* PI n) 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (/ 1 (sqrt (sqrt k))))))) 1544000976.137 * * * * [misc]progress: [ 431 / 443 ] simplifiying candidate # 1544000976.137 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1544000976.138 * * [misc]simplify: iters left: 5 (9 enodes) 1544000976.140 * * [misc]simplify: iters left: 4 (15 enodes) 1544000976.145 * * [misc]simplify: iters left: 3 (21 enodes) 1544000976.150 * * [misc]simplify: iters left: 2 (22 enodes) 1544000976.156 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1544000976.156 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* PI n) 2) (- (/ k 2))) (* (sqrt (sqrt k)) (sqrt (sqrt k)))))) 1544000976.156 * * * * [misc]progress: [ 432 / 443 ] simplifiying candidate # 1544000976.156 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544000976.156 * * [misc]simplify: iters left: 4 (5 enodes) 1544000976.158 * * [misc]simplify: iters left: 3 (9 enodes) 1544000976.161 * * [misc]simplify: iters left: 2 (15 enodes) 1544000976.165 * * [misc]simplify: iters left: 1 (17 enodes) 1544000976.169 * [exit]simplify: Simplified to (* (* PI n) 2) 1544000976.169 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (/ (pow (* (* PI n) 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))) 1544000976.169 * * * * [misc]progress: [ 433 / 443 ] simplifiying candidate # 1544000976.169 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544000976.169 * * [misc]simplify: iters left: 4 (5 enodes) 1544000976.171 * * [misc]simplify: iters left: 3 (9 enodes) 1544000976.174 * * [misc]simplify: iters left: 2 (15 enodes) 1544000976.177 * * [misc]simplify: iters left: 1 (17 enodes) 1544000976.178 * [exit]simplify: Simplified to (* (* PI n) 2) 1544000976.179 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (/ (pow (* (* PI n) 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))) 1544000976.179 * * * * [misc]progress: [ 434 / 443 ] simplifiying candidate # 1544000976.179 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544000976.179 * * [misc]simplify: iters left: 4 (5 enodes) 1544000976.180 * * [misc]simplify: iters left: 3 (9 enodes) 1544000976.181 * * [misc]simplify: iters left: 2 (15 enodes) 1544000976.183 * * [misc]simplify: iters left: 1 (17 enodes) 1544000976.186 * [exit]simplify: Simplified to (* (* PI n) 2) 1544000976.186 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (/ (pow (* (* PI n) 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))) 1544000976.186 * * * * [misc]progress: [ 435 / 443 ] simplifiying candidate # 1544000976.186 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544000976.186 * * [misc]simplify: iters left: 4 (5 enodes) 1544000976.187 * * [misc]simplify: iters left: 3 (9 enodes) 1544000976.188 * * [misc]simplify: iters left: 2 (15 enodes) 1544000976.190 * * [misc]simplify: iters left: 1 (17 enodes) 1544000976.192 * [exit]simplify: Simplified to (* (* PI n) 2) 1544000976.192 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (sqrt (* (* PI n) 2)) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))) 1544000976.192 * * * * [misc]progress: [ 436 / 443 ] simplifiying candidate # 1544000976.193 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544000976.193 * * [misc]simplify: iters left: 4 (5 enodes) 1544000976.193 * * [misc]simplify: iters left: 3 (9 enodes) 1544000976.195 * * [misc]simplify: iters left: 2 (15 enodes) 1544000976.197 * * [misc]simplify: iters left: 1 (17 enodes) 1544000976.199 * [exit]simplify: Simplified to (* (* PI n) 2) 1544000976.199 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (sqrt (* (* PI n) 2)) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))) 1544000976.199 * * * * [misc]progress: [ 437 / 443 ] simplifiying candidate # 1544000976.199 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544000976.199 * * [misc]simplify: iters left: 4 (5 enodes) 1544000976.200 * * [misc]simplify: iters left: 3 (9 enodes) 1544000976.201 * * [misc]simplify: iters left: 2 (15 enodes) 1544000976.203 * * [misc]simplify: iters left: 1 (17 enodes) 1544000976.205 * [exit]simplify: Simplified to (* (* PI n) 2) 1544000976.205 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (sqrt (* (* PI n) 2)) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))) 1544000976.205 * * * * [misc]progress: [ 438 / 443 ] simplifiying candidate # 1544000976.205 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (sqrt 2) (* n PI)) k)) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (log (* 2 PI)))))) (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow n 2) (* (pow PI 2) (log n)))) k)) (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow n 2) (* (pow PI 2) (log (* 2 PI))))) k)) (- (* +nan.0 (* (sqrt 2) (* n (* PI (log n)))))))))))))) 1544000976.205 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544000976.205 * * * * [misc]progress: [ 439 / 443 ] simplifiying candidate # 1544000976.206 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (pow PI 2))) (* n (pow k 2)))) (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (pow PI 3))) (* (pow n 2) (pow k 3)))) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) PI)) k))))))) 1544000976.206 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544000976.206 * * * * [misc]progress: [ 440 / 443 ] simplifiying candidate # 1544000976.206 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) PI)) (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) PI) k)) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) (pow PI 2)) n))))))) 1544000976.206 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544000976.206 * * * * [misc]progress: [ 441 / 443 ] simplifiying candidate # 1544000976.206 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (log (* 2 PI)) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) k)) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (log n) k)) (- (+ (* +nan.0 (* (log n) (pow k 2))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (* (pow (log n) 2) (pow k 2))) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))))))))))))))))) 1544000976.206 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) +nan.0)) 1544000976.206 * * * * [misc]progress: [ 442 / 443 ] simplifiying candidate # 1544000976.206 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) k)) (- (+ (* +nan.0 (/ (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (pow k 3))) (- (* +nan.0 (/ (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (pow k 2)))))))) 1544000976.206 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) +nan.0)) 1544000976.206 * * * * [misc]progress: [ 443 / 443 ] simplifiying candidate # 1544000976.206 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) k)) (- (+ (* +nan.0 (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k)))) (- (* +nan.0 (/ (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) (pow k 2)))))))) 1544000976.206 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) +nan.0)) 1544000976.206 * * * [misc]progress: adding candidates to table 1544000983.936 * [misc]progress: [Phase 3 of 3] Extracting. 1544000983.936 * * [misc]regime: Finding splitpoints for: (# # # # # # # # #) 1544000983.940 * * * [misc]regime-changes: Trying 2 branch expressions: (n k) 1544000983.940 * * * * [misc]regimes: Trying to branch on n from (# # # # # # # # #) 1544000984.016 * * * * [misc]regimes: Trying to branch on k from (# # # # # # # # #) 1544000984.119 * * * [misc]regime: Found split indices: #