1537439689.749 * [misc]progress: [Phase 1 of 3] Setting up. 1537439689.749 * * * [misc]progress: [1/2] Preparing points 1537439689.749 * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 1537439689.752 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision 1537439689.758 * * * * [misc]points: Setting MPFR precision to 64 1537439689.759 * * * * [misc]points: Setting MPFR precision to 320 1537439689.761 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision 1537439689.769 * * * * [misc]points: Setting MPFR precision to 64 1537439689.771 * * * * [misc]points: Setting MPFR precision to 320 1537439689.774 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision 1537439689.781 * * * * [misc]points: Setting MPFR precision to 64 1537439689.786 * * * * [misc]points: Setting MPFR precision to 320 1537439689.791 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision 1537439689.798 * * * * [misc]points: Setting MPFR precision to 64 1537439689.806 * * * * [misc]points: Setting MPFR precision to 320 1537439689.811 * * * * [misc]points: Setting MPFR precision to 576 1537439689.815 * * * * [misc]points: Setting MPFR precision to 832 1537439689.820 * * * * [misc]points: Setting MPFR precision to 1088 1537439689.826 * * * * [misc]points: Setting MPFR precision to 1344 1537439689.831 * * * * [misc]points: Computing exacts for 256 points 1537439689.868 * * * * [misc]points: Setting MPFR precision to 1088 1537439689.883 * * * * [misc]points: Setting MPFR precision to 1344 1537439689.901 * * * * [misc]points: Filtering points with unrepresentable outputs 1537439689.901 * * * * [misc]points: Sampling 208 additional inputs, on iter 1 have 48 / 256 1537439689.903 * * * * [misc]points: Computing exacts on every 13 of 208 points to ramp up precision 1537439689.924 * * * * [misc]points: Setting MPFR precision to 1088 1537439689.926 * * * * [misc]points: Setting MPFR precision to 1344 1537439689.927 * * * * [misc]points: Computing exacts on every 6 of 208 points to ramp up precision 1537439689.963 * * * * [misc]points: Setting MPFR precision to 1088 1537439689.966 * * * * [misc]points: Setting MPFR precision to 1344 1537439689.970 * * * * [misc]points: Computing exacts on every 3 of 208 points to ramp up precision 1537439689.981 * * * * [misc]points: Setting MPFR precision to 1088 1537439689.984 * * * * [misc]points: Setting MPFR precision to 1344 1537439689.987 * * * * [misc]points: Computing exacts for 208 points 1537439689.997 * * * * [misc]points: Setting MPFR precision to 1088 1537439690.022 * * * * [misc]points: Setting MPFR precision to 1344 1537439690.046 * * * * [misc]points: Filtering points with unrepresentable outputs 1537439690.046 * * * * [misc]points: Sampling 163 additional inputs, on iter 2 have 93 / 256 1537439690.047 * * * * [misc]points: Computing exacts on every 10 of 163 points to ramp up precision 1537439690.064 * * * * [misc]points: Setting MPFR precision to 1088 1537439690.065 * * * * [misc]points: Setting MPFR precision to 1344 1537439690.065 * * * * [misc]points: Computing exacts on every 5 of 163 points to ramp up precision 1537439690.075 * * * * [misc]points: Setting MPFR precision to 1088 1537439690.077 * * * * [misc]points: Setting MPFR precision to 1344 1537439690.078 * * * * [misc]points: Computing exacts on every 2 of 163 points to ramp up precision 1537439690.106 * * * * [misc]points: Setting MPFR precision to 1088 1537439690.111 * * * * [misc]points: Setting MPFR precision to 1344 1537439690.117 * * * * [misc]points: Computing exacts for 163 points 1537439690.128 * * * * [misc]points: Setting MPFR precision to 1088 1537439690.138 * * * * [misc]points: Setting MPFR precision to 1344 1537439690.147 * * * * [misc]points: Filtering points with unrepresentable outputs 1537439690.147 * * * * [misc]points: Sampling 136 additional inputs, on iter 3 have 120 / 256 1537439690.148 * * * * [misc]points: Computing exacts on every 8 of 136 points to ramp up precision 1537439690.165 * * * * [misc]points: Setting MPFR precision to 1088 1537439690.166 * * * * [misc]points: Setting MPFR precision to 1344 1537439690.167 * * * * [misc]points: Computing exacts on every 4 of 136 points to ramp up precision 1537439690.188 * * * * [misc]points: Setting MPFR precision to 1088 1537439690.191 * * * * [misc]points: Setting MPFR precision to 1344 1537439690.194 * * * * [misc]points: Computing exacts on every 2 of 136 points to ramp up precision 1537439690.220 * * * * [misc]points: Setting MPFR precision to 1088 1537439690.225 * * * * [misc]points: Setting MPFR precision to 1344 1537439690.230 * * * * [misc]points: Computing exacts for 136 points 1537439690.251 * * * * [misc]points: Setting MPFR precision to 1088 1537439690.266 * * * * [misc]points: Setting MPFR precision to 1344 1537439690.281 * * * * [misc]points: Filtering points with unrepresentable outputs 1537439690.282 * * * * [misc]points: Sampling 105 additional inputs, on iter 4 have 151 / 256 1537439690.283 * * * * [misc]points: Computing exacts on every 6 of 105 points to ramp up precision 1537439690.314 * * * * [misc]points: Setting MPFR precision to 1088 1537439690.316 * * * * [misc]points: Setting MPFR precision to 1344 1537439690.318 * * * * [misc]points: Computing exacts on every 3 of 105 points to ramp up precision 1537439690.329 * * * * [misc]points: Setting MPFR precision to 1088 1537439690.331 * * * * [misc]points: Setting MPFR precision to 1344 1537439690.333 * * * * [misc]points: Computing exacts for 105 points 1537439690.343 * * * * [misc]points: Setting MPFR precision to 1088 1537439690.350 * * * * [misc]points: Setting MPFR precision to 1344 1537439690.370 * * * * [misc]points: Filtering points with unrepresentable outputs 1537439690.370 * * * * [misc]points: Sampling 89 additional inputs, on iter 5 have 167 / 256 1537439690.371 * * * * [misc]points: Computing exacts on every 5 of 89 points to ramp up precision 1537439690.393 * * * * [misc]points: Setting MPFR precision to 1088 1537439690.395 * * * * [misc]points: Setting MPFR precision to 1344 1537439690.396 * * * * [misc]points: Computing exacts on every 2 of 89 points to ramp up precision 1537439690.408 * * * * [misc]points: Setting MPFR precision to 1088 1537439690.410 * * * * [misc]points: Setting MPFR precision to 1344 1537439690.412 * * * * [misc]points: Computing exacts for 89 points 1537439690.809 * * * * [misc]points: Setting MPFR precision to 1088 1537439690.819 * * * * [misc]points: Setting MPFR precision to 1344 1537439690.830 * * * * [misc]points: Filtering points with unrepresentable outputs 1537439690.830 * * * * [misc]points: Sampling 67 additional inputs, on iter 6 have 189 / 256 1537439690.830 * * * * [misc]points: Computing exacts on every 4 of 67 points to ramp up precision 1537439690.851 * * * * [misc]points: Setting MPFR precision to 1088 1537439690.853 * * * * [misc]points: Setting MPFR precision to 1344 1537439690.855 * * * * [misc]points: Computing exacts on every 2 of 67 points to ramp up precision 1537439690.883 * * * * [misc]points: Setting MPFR precision to 1088 1537439690.886 * * * * [misc]points: Setting MPFR precision to 1344 1537439690.888 * * * * [misc]points: Computing exacts for 67 points 1537439690.909 * * * * [misc]points: Setting MPFR precision to 1088 1537439690.917 * * * * [misc]points: Setting MPFR precision to 1344 1537439690.924 * * * * [misc]points: Filtering points with unrepresentable outputs 1537439690.924 * * * * [misc]points: Sampling 53 additional inputs, on iter 7 have 203 / 256 1537439690.925 * * * * [misc]points: Computing exacts on every 3 of 53 points to ramp up precision 1537439690.946 * * * * [misc]points: Setting MPFR precision to 1088 1537439690.947 * * * * [misc]points: Setting MPFR precision to 1344 1537439690.948 * * * * [misc]points: Computing exacts for 53 points 1537439690.977 * * * * [misc]points: Setting MPFR precision to 1088 1537439690.983 * * * * [misc]points: Setting MPFR precision to 1344 1537439690.988 * * * * [misc]points: Filtering points with unrepresentable outputs 1537439690.988 * * * * [misc]points: Sampling 45 additional inputs, on iter 8 have 211 / 256 1537439690.989 * * * * [misc]points: Computing exacts on every 2 of 45 points to ramp up precision 1537439691.010 * * * * [misc]points: Setting MPFR precision to 1088 1537439691.012 * * * * [misc]points: Setting MPFR precision to 1344 1537439691.014 * * * * [misc]points: Computing exacts for 45 points 1537439691.041 * * * * [misc]points: Setting MPFR precision to 1088 1537439691.047 * * * * [misc]points: Setting MPFR precision to 1344 1537439691.052 * * * * [misc]points: Filtering points with unrepresentable outputs 1537439691.052 * * * * [misc]points: Sampling 35 additional inputs, on iter 9 have 221 / 256 1537439691.053 * * * * [misc]points: Computing exacts on every 2 of 35 points to ramp up precision 1537439691.074 * * * * [misc]points: Setting MPFR precision to 1088 1537439691.076 * * * * [misc]points: Setting MPFR precision to 1344 1537439691.077 * * * * [misc]points: Computing exacts for 35 points 1537439691.101 * * * * [misc]points: Setting MPFR precision to 1088 1537439691.103 * * * * [misc]points: Setting MPFR precision to 1344 1537439691.106 * * * * [misc]points: Filtering points with unrepresentable outputs 1537439691.106 * * * * [misc]points: Sampling 28 additional inputs, on iter 10 have 228 / 256 1537439691.106 * * * * [misc]points: Computing exacts for 28 points 1537439691.117 * * * * [misc]points: Setting MPFR precision to 1088 1537439691.119 * * * * [misc]points: Setting MPFR precision to 1344 1537439691.120 * * * * [misc]points: Filtering points with unrepresentable outputs 1537439691.120 * * * * [misc]points: Sampling 21 additional inputs, on iter 11 have 235 / 256 1537439691.121 * * * * [misc]points: Computing exacts for 21 points 1537439691.131 * * * * [misc]points: Setting MPFR precision to 1088 1537439691.132 * * * * [misc]points: Setting MPFR precision to 1344 1537439691.133 * * * * [misc]points: Filtering points with unrepresentable outputs 1537439691.133 * * * * [misc]points: Sampling 17 additional inputs, on iter 12 have 239 / 256 1537439691.133 * * * * [misc]points: Computing exacts for 17 points 1537439691.159 * * * * [misc]points: Setting MPFR precision to 1088 1537439691.160 * * * * [misc]points: Setting MPFR precision to 1344 1537439691.162 * * * * [misc]points: Filtering points with unrepresentable outputs 1537439691.162 * * * * [misc]points: Sampling 12 additional inputs, on iter 13 have 244 / 256 1537439691.162 * * * * [misc]points: Computing exacts for 12 points 1537439691.182 * * * * [misc]points: Setting MPFR precision to 1088 1537439691.183 * * * * [misc]points: Setting MPFR precision to 1344 1537439691.185 * * * * [misc]points: Filtering points with unrepresentable outputs 1537439691.185 * * * * [misc]points: Sampling 10 additional inputs, on iter 14 have 246 / 256 1537439691.185 * * * * [misc]points: Computing exacts for 10 points 1537439691.199 * * * * [misc]points: Setting MPFR precision to 1088 1537439691.200 * * * * [misc]points: Setting MPFR precision to 1344 1537439691.200 * * * * [misc]points: Filtering points with unrepresentable outputs 1537439691.200 * * * * [misc]points: Sampling 7 additional inputs, on iter 15 have 249 / 256 1537439691.200 * * * * [misc]points: Computing exacts for 7 points 1537439691.213 * * * * [misc]points: Setting MPFR precision to 1088 1537439691.214 * * * * [misc]points: Setting MPFR precision to 1344 1537439691.215 * * * * [misc]points: Filtering points with unrepresentable outputs 1537439691.215 * * * * [misc]points: Sampling 6 additional inputs, on iter 16 have 250 / 256 1537439691.215 * * * * [misc]points: Computing exacts for 6 points 1537439691.234 * * * * [misc]points: Setting MPFR precision to 1088 1537439691.234 * * * * [misc]points: Setting MPFR precision to 1344 1537439691.235 * * * * [misc]points: Filtering points with unrepresentable outputs 1537439691.235 * * * * [misc]points: Sampling 5 additional inputs, on iter 17 have 251 / 256 1537439691.235 * * * * [misc]points: Computing exacts for 5 points 1537439691.258 * * * * [misc]points: Setting MPFR precision to 1088 1537439691.259 * * * * [misc]points: Setting MPFR precision to 1344 1537439691.259 * * * * [misc]points: Filtering points with unrepresentable outputs 1537439691.259 * * * * [misc]points: Sampling 4 additional inputs, on iter 18 have 252 / 256 1537439691.259 * * * * [misc]points: Computing exacts for 4 points 1537439691.277 * * * * [misc]points: Setting MPFR precision to 1088 1537439691.277 * * * * [misc]points: Setting MPFR precision to 1344 1537439691.278 * * * * [misc]points: Filtering points with unrepresentable outputs 1537439691.278 * * * * [misc]points: Sampling 4 additional inputs, on iter 19 have 252 / 256 1537439691.278 * * * * [misc]points: Computing exacts for 4 points 1537439691.290 * * * * [misc]points: Setting MPFR precision to 1088 1537439691.290 * * * * [misc]points: Setting MPFR precision to 1344 1537439691.291 * * * * [misc]points: Filtering points with unrepresentable outputs 1537439691.291 * * * * [misc]points: Sampling 4 additional inputs, on iter 20 have 253 / 256 1537439691.291 * * * * [misc]points: Computing exacts for 4 points 1537439691.301 * * * * [misc]points: Setting MPFR precision to 1088 1537439691.302 * * * * [misc]points: Setting MPFR precision to 1344 1537439691.302 * * * * [misc]points: Filtering points with unrepresentable outputs 1537439691.302 * * * * [misc]points: Sampling 4 additional inputs, on iter 21 have 254 / 256 1537439691.302 * * * * [misc]points: Computing exacts for 4 points 1537439691.312 * * * * [misc]points: Setting MPFR precision to 1088 1537439691.312 * * * * [misc]points: Setting MPFR precision to 1344 1537439691.313 * * * * [misc]points: Filtering points with unrepresentable outputs 1537439691.313 * * * * [exit]points: Sampled 256 points with exact outputs 1537439691.313 * * * [misc]progress: [2/2] Setting up program. 1537439691.318 * [misc]progress: [Phase 2 of 3] Improving. 1537439691.319 * [enter]simplify: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1537439691.324 * * [misc]simplify: iters left: 6 (13 enodes) 1537439691.331 * * [misc]simplify: iters left: 5 (28 enodes) 1537439691.342 * * [misc]simplify: iters left: 4 (44 enodes) 1537439691.357 * * [misc]simplify: iters left: 3 (54 enodes) 1537439691.364 * * [misc]simplify: iters left: 2 (57 enodes) 1537439691.371 * * [misc]simplify: iters left: 1 (65 enodes) 1537439691.382 * [exit]simplify: Simplified to (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1537439691.393 * * [misc]progress: iteration 1 / 4 1537439691.393 * * * [misc]progress: picking best candidate 1537439691.404 * * * * [misc]pick: Picked # 1537439691.404 * * * [misc]progress: localizing error 1537439691.466 * * * [misc]progress: generating rewritten candidates 1537439691.466 * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1 1) 1537439691.481 * * * * [misc]progress: [ 2 / 3 ] rewriting at (2) 1537439691.534 * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 1) 1537439691.559 * * * [misc]progress: generating series expansions 1537439691.559 * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1 1) 1537439691.559 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1537439691.559 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1537439691.559 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537439691.559 * [misc]taylor: Taking taylor expansion of 2 in n 1537439691.560 * [misc]backup-simplify: Simplify 2 into 2 1537439691.560 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537439691.560 * [misc]taylor: Taking taylor expansion of n in n 1537439691.560 * [misc]backup-simplify: Simplify 0 into 0 1537439691.560 * [misc]backup-simplify: Simplify 1 into 1 1537439691.560 * [misc]taylor: Taking taylor expansion of PI in n 1537439691.560 * [misc]backup-simplify: Simplify PI into PI 1537439691.560 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537439691.560 * [misc]taylor: Taking taylor expansion of 2 in n 1537439691.560 * [misc]backup-simplify: Simplify 2 into 2 1537439691.560 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537439691.560 * [misc]taylor: Taking taylor expansion of n in n 1537439691.560 * [misc]backup-simplify: Simplify 0 into 0 1537439691.560 * [misc]backup-simplify: Simplify 1 into 1 1537439691.560 * [misc]taylor: Taking taylor expansion of PI in n 1537439691.560 * [misc]backup-simplify: Simplify PI into PI 1537439691.561 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537439691.561 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537439691.561 * [misc]backup-simplify: Simplify 0 into 0 1537439691.561 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537439691.562 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537439691.562 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537439691.564 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1537439691.565 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1537439691.565 * [misc]backup-simplify: Simplify 0 into 0 1537439691.566 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1537439691.568 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1537439691.568 * [misc]backup-simplify: Simplify 0 into 0 1537439691.571 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537439691.573 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1537439691.573 * [misc]backup-simplify: Simplify 0 into 0 1537439691.576 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537439691.579 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1537439691.579 * [misc]backup-simplify: Simplify 0 into 0 1537439691.583 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537439691.586 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1537439691.587 * [misc]backup-simplify: Simplify 0 into 0 1537439691.591 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1537439691.595 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1537439691.595 * [misc]backup-simplify: Simplify 0 into 0 1537439691.596 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1537439691.596 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1537439691.596 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1537439691.596 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537439691.596 * [misc]taylor: Taking taylor expansion of 2 in n 1537439691.596 * [misc]backup-simplify: Simplify 2 into 2 1537439691.596 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537439691.596 * [misc]taylor: Taking taylor expansion of PI in n 1537439691.596 * [misc]backup-simplify: Simplify PI into PI 1537439691.596 * [misc]taylor: Taking taylor expansion of n in n 1537439691.596 * [misc]backup-simplify: Simplify 0 into 0 1537439691.596 * [misc]backup-simplify: Simplify 1 into 1 1537439691.596 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537439691.596 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537439691.596 * [misc]taylor: Taking taylor expansion of 2 in n 1537439691.596 * [misc]backup-simplify: Simplify 2 into 2 1537439691.596 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537439691.596 * [misc]taylor: Taking taylor expansion of PI in n 1537439691.596 * [misc]backup-simplify: Simplify PI into PI 1537439691.596 * [misc]taylor: Taking taylor expansion of n in n 1537439691.596 * [misc]backup-simplify: Simplify 0 into 0 1537439691.596 * [misc]backup-simplify: Simplify 1 into 1 1537439691.597 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537439691.597 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537439691.597 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537439691.598 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537439691.598 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537439691.598 * [misc]backup-simplify: Simplify 0 into 0 1537439691.599 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439691.600 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1537439691.600 * [misc]backup-simplify: Simplify 0 into 0 1537439691.601 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439691.602 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537439691.602 * [misc]backup-simplify: Simplify 0 into 0 1537439691.603 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439691.604 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537439691.604 * [misc]backup-simplify: Simplify 0 into 0 1537439691.606 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439691.608 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537439691.608 * [misc]backup-simplify: Simplify 0 into 0 1537439691.609 * [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 1537439691.611 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537439691.611 * [misc]backup-simplify: Simplify 0 into 0 1537439691.612 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1537439691.612 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1537439691.612 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1537439691.612 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537439691.612 * [misc]taylor: Taking taylor expansion of -2 in n 1537439691.612 * [misc]backup-simplify: Simplify -2 into -2 1537439691.612 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537439691.612 * [misc]taylor: Taking taylor expansion of PI in n 1537439691.612 * [misc]backup-simplify: Simplify PI into PI 1537439691.612 * [misc]taylor: Taking taylor expansion of n in n 1537439691.612 * [misc]backup-simplify: Simplify 0 into 0 1537439691.612 * [misc]backup-simplify: Simplify 1 into 1 1537439691.612 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537439691.612 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537439691.612 * [misc]taylor: Taking taylor expansion of -2 in n 1537439691.612 * [misc]backup-simplify: Simplify -2 into -2 1537439691.612 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537439691.612 * [misc]taylor: Taking taylor expansion of PI in n 1537439691.612 * [misc]backup-simplify: Simplify PI into PI 1537439691.612 * [misc]taylor: Taking taylor expansion of n in n 1537439691.612 * [misc]backup-simplify: Simplify 0 into 0 1537439691.612 * [misc]backup-simplify: Simplify 1 into 1 1537439691.613 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537439691.613 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537439691.613 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537439691.614 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537439691.614 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537439691.614 * [misc]backup-simplify: Simplify 0 into 0 1537439691.615 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439691.616 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1537439691.616 * [misc]backup-simplify: Simplify 0 into 0 1537439691.617 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439691.618 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537439691.618 * [misc]backup-simplify: Simplify 0 into 0 1537439691.619 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439691.621 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537439691.621 * [misc]backup-simplify: Simplify 0 into 0 1537439691.622 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439691.624 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537439691.624 * [misc]backup-simplify: Simplify 0 into 0 1537439691.626 * [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 1537439691.628 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537439691.628 * [misc]backup-simplify: Simplify 0 into 0 1537439691.629 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1537439691.629 * * * * [misc]progress: [ 2 / 3 ] generating series at (2) 1537439691.633 * [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)))) 1537439691.633 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0 1537439691.633 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1537439691.633 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1537439691.633 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1537439691.633 * [misc]taylor: Taking taylor expansion of k in k 1537439691.633 * [misc]backup-simplify: Simplify 0 into 0 1537439691.633 * [misc]backup-simplify: Simplify 1 into 1 1537439691.633 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1537439691.634 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537439691.634 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1537439691.634 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1537439691.634 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1537439691.634 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1537439691.634 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1537439691.634 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537439691.634 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439691.634 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1537439691.634 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537439691.634 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439691.634 * [misc]taylor: Taking taylor expansion of k in k 1537439691.634 * [misc]backup-simplify: Simplify 0 into 0 1537439691.634 * [misc]backup-simplify: Simplify 1 into 1 1537439691.634 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1537439691.634 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1537439691.635 * [misc]taylor: Taking taylor expansion of 2 in k 1537439691.635 * [misc]backup-simplify: Simplify 2 into 2 1537439691.635 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1537439691.635 * [misc]taylor: Taking taylor expansion of n in k 1537439691.635 * [misc]backup-simplify: Simplify n into n 1537439691.635 * [misc]taylor: Taking taylor expansion of PI in k 1537439691.635 * [misc]backup-simplify: Simplify PI into PI 1537439691.635 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1537439691.635 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1537439691.635 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1537439691.635 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1537439691.635 * [misc]backup-simplify: Simplify (- 0) into 0 1537439691.636 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1537439691.636 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1537439691.636 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1537439691.636 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1537439691.636 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1537439691.636 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1537439691.636 * [misc]taylor: Taking taylor expansion of k in n 1537439691.636 * [misc]backup-simplify: Simplify k into k 1537439691.636 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1537439691.636 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1537439691.636 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1537439691.636 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1537439691.636 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1537439691.636 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1537439691.637 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1537439691.637 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1537439691.637 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537439691.637 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439691.637 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1537439691.637 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537439691.637 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439691.637 * [misc]taylor: Taking taylor expansion of k in n 1537439691.637 * [misc]backup-simplify: Simplify k into k 1537439691.637 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1537439691.637 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537439691.637 * [misc]taylor: Taking taylor expansion of 2 in n 1537439691.637 * [misc]backup-simplify: Simplify 2 into 2 1537439691.637 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537439691.637 * [misc]taylor: Taking taylor expansion of n in n 1537439691.637 * [misc]backup-simplify: Simplify 0 into 0 1537439691.637 * [misc]backup-simplify: Simplify 1 into 1 1537439691.637 * [misc]taylor: Taking taylor expansion of PI in n 1537439691.637 * [misc]backup-simplify: Simplify PI into PI 1537439691.637 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537439691.638 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537439691.638 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537439691.639 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537439691.640 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537439691.640 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1537439691.640 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1537439691.640 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1537439691.641 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537439691.641 * [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)))) 1537439691.642 * [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))))) 1537439691.642 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1537439691.642 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1537439691.642 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1537439691.642 * [misc]taylor: Taking taylor expansion of k in n 1537439691.642 * [misc]backup-simplify: Simplify k into k 1537439691.642 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1537439691.642 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1537439691.643 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1537439691.643 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1537439691.643 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1537439691.643 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1537439691.643 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1537439691.643 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1537439691.643 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537439691.643 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439691.643 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1537439691.643 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537439691.643 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439691.643 * [misc]taylor: Taking taylor expansion of k in n 1537439691.643 * [misc]backup-simplify: Simplify k into k 1537439691.643 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1537439691.643 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537439691.643 * [misc]taylor: Taking taylor expansion of 2 in n 1537439691.643 * [misc]backup-simplify: Simplify 2 into 2 1537439691.643 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537439691.643 * [misc]taylor: Taking taylor expansion of n in n 1537439691.643 * [misc]backup-simplify: Simplify 0 into 0 1537439691.643 * [misc]backup-simplify: Simplify 1 into 1 1537439691.643 * [misc]taylor: Taking taylor expansion of PI in n 1537439691.643 * [misc]backup-simplify: Simplify PI into PI 1537439691.644 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537439691.644 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537439691.645 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537439691.646 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537439691.646 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537439691.646 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1537439691.646 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1537439691.646 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1537439691.647 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537439691.648 * [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)))) 1537439691.649 * [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))))) 1537439691.650 * [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))) 1537439691.650 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k 1537439691.650 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1537439691.650 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1537439691.650 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1537439691.650 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537439691.650 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439691.650 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1537439691.650 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537439691.650 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439691.650 * [misc]taylor: Taking taylor expansion of k in k 1537439691.650 * [misc]backup-simplify: Simplify 0 into 0 1537439691.650 * [misc]backup-simplify: Simplify 1 into 1 1537439691.650 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1537439691.650 * [misc]taylor: Taking taylor expansion of (log n) in k 1537439691.650 * [misc]taylor: Taking taylor expansion of n in k 1537439691.650 * [misc]backup-simplify: Simplify n into n 1537439691.650 * [misc]backup-simplify: Simplify (log n) into (log n) 1537439691.650 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1537439691.650 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1537439691.651 * [misc]taylor: Taking taylor expansion of 2 in k 1537439691.651 * [misc]backup-simplify: Simplify 2 into 2 1537439691.651 * [misc]taylor: Taking taylor expansion of PI in k 1537439691.651 * [misc]backup-simplify: Simplify PI into PI 1537439691.651 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537439691.652 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537439691.652 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1537439691.652 * [misc]backup-simplify: Simplify (- 0) into 0 1537439691.652 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1537439691.653 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537439691.653 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1537439691.654 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1537439691.654 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1537439691.654 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1537439691.654 * [misc]taylor: Taking taylor expansion of k in k 1537439691.654 * [misc]backup-simplify: Simplify 0 into 0 1537439691.654 * [misc]backup-simplify: Simplify 1 into 1 1537439691.654 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1537439691.654 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537439691.655 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1537439691.656 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 1537439691.656 * [misc]backup-simplify: Simplify 0 into 0 1537439691.657 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1537439691.658 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1537439691.661 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537439691.662 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1537439691.662 * [misc]backup-simplify: Simplify (- 0) into 0 1537439691.662 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537439691.663 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537439691.663 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1537439691.665 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1537439691.666 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0 1537439691.666 * [misc]taylor: Taking taylor expansion of 0 in k 1537439691.666 * [misc]backup-simplify: Simplify 0 into 0 1537439691.668 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1537439691.668 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537439691.671 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537439691.672 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537439691.672 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1537439691.672 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1537439691.672 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1537439691.673 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1537439691.675 * [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))))))) 1537439691.677 * [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))))))) 1537439691.677 * [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))))))) 1537439691.679 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1537439691.680 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1537439691.683 * [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 1537439691.684 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1537439691.684 * [misc]backup-simplify: Simplify (- 0) into 0 1537439691.684 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537439691.684 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537439691.685 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1537439691.686 * [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 1537439691.686 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537439691.687 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1537439691.688 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0 1537439691.688 * [misc]taylor: Taking taylor expansion of 0 in k 1537439691.688 * [misc]backup-simplify: Simplify 0 into 0 1537439691.688 * [misc]backup-simplify: Simplify 0 into 0 1537439691.688 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1537439691.689 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1537439691.690 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1537439691.690 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1537439691.694 * [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 1537439691.694 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537439691.694 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1537439691.694 * [misc]backup-simplify: Simplify (- 0) into 0 1537439691.694 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537439691.695 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1537439691.697 * [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))))) 1537439691.702 * [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)))))))) 1537439691.704 * [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)))))))) 1537439691.706 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537439691.709 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1537439691.718 * [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 1537439691.719 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1537439691.719 * [misc]backup-simplify: Simplify (- 0) into 0 1537439691.719 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537439691.720 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537439691.721 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1537439691.725 * [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 1537439691.725 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537439691.726 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1537439691.727 * [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 1537439691.727 * [misc]taylor: Taking taylor expansion of 0 in k 1537439691.727 * [misc]backup-simplify: Simplify 0 into 0 1537439691.727 * [misc]backup-simplify: Simplify 0 into 0 1537439691.727 * [misc]backup-simplify: Simplify 0 into 0 1537439691.727 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439691.729 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1537439691.732 * [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 1537439691.734 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537439691.743 * [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 1537439691.743 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537439691.743 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1537439691.744 * [misc]backup-simplify: Simplify (- 0) into 0 1537439691.744 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537439691.745 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1537439691.750 * [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))))))) 1537439691.764 * [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)))))))))))))) 1537439691.771 * [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)))))))))))))) 1537439691.788 * [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)))))))))))))))))))))) 1537439691.789 * [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))))) 1537439691.789 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0 1537439691.789 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1537439691.789 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1537439691.789 * [misc]taylor: Taking taylor expansion of k in k 1537439691.789 * [misc]backup-simplify: Simplify 0 into 0 1537439691.789 * [misc]backup-simplify: Simplify 1 into 1 1537439691.790 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537439691.790 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1537439691.790 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1537439691.790 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1537439691.790 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1537439691.790 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1537439691.790 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537439691.790 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439691.790 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1537439691.790 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537439691.790 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439691.790 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1537439691.790 * [misc]taylor: Taking taylor expansion of k in k 1537439691.790 * [misc]backup-simplify: Simplify 0 into 0 1537439691.790 * [misc]backup-simplify: Simplify 1 into 1 1537439691.791 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1537439691.791 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1537439691.791 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1537439691.791 * [misc]taylor: Taking taylor expansion of 2 in k 1537439691.791 * [misc]backup-simplify: Simplify 2 into 2 1537439691.791 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1537439691.791 * [misc]taylor: Taking taylor expansion of PI in k 1537439691.791 * [misc]backup-simplify: Simplify PI into PI 1537439691.791 * [misc]taylor: Taking taylor expansion of n in k 1537439691.791 * [misc]backup-simplify: Simplify n into n 1537439691.791 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537439691.791 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1537439691.791 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1537439691.791 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1537439691.792 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1537439691.792 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1537439691.792 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1537439691.792 * [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)))) 1537439691.792 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1537439691.792 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1537439691.792 * [misc]taylor: Taking taylor expansion of k in n 1537439691.792 * [misc]backup-simplify: Simplify k into k 1537439691.793 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1537439691.793 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1537439691.793 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1537439691.793 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1537439691.793 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1537439691.793 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1537439691.793 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537439691.793 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439691.793 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1537439691.793 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537439691.793 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439691.793 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1537439691.793 * [misc]taylor: Taking taylor expansion of k in n 1537439691.793 * [misc]backup-simplify: Simplify k into k 1537439691.793 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1537439691.793 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1537439691.793 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537439691.793 * [misc]taylor: Taking taylor expansion of 2 in n 1537439691.793 * [misc]backup-simplify: Simplify 2 into 2 1537439691.793 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537439691.793 * [misc]taylor: Taking taylor expansion of PI in n 1537439691.793 * [misc]backup-simplify: Simplify PI into PI 1537439691.793 * [misc]taylor: Taking taylor expansion of n in n 1537439691.793 * [misc]backup-simplify: Simplify 0 into 0 1537439691.793 * [misc]backup-simplify: Simplify 1 into 1 1537439691.794 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537439691.794 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537439691.795 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537439691.795 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1537439691.795 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1537439691.795 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1537439691.796 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537439691.796 * [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))) 1537439691.797 * [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)))) 1537439691.797 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1537439691.797 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1537439691.797 * [misc]taylor: Taking taylor expansion of k in n 1537439691.797 * [misc]backup-simplify: Simplify k into k 1537439691.797 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1537439691.797 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1537439691.797 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1537439691.798 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1537439691.798 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1537439691.798 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1537439691.798 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537439691.798 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439691.798 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1537439691.798 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537439691.798 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439691.798 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1537439691.798 * [misc]taylor: Taking taylor expansion of k in n 1537439691.798 * [misc]backup-simplify: Simplify k into k 1537439691.798 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1537439691.798 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1537439691.798 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537439691.798 * [misc]taylor: Taking taylor expansion of 2 in n 1537439691.798 * [misc]backup-simplify: Simplify 2 into 2 1537439691.798 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537439691.798 * [misc]taylor: Taking taylor expansion of PI in n 1537439691.798 * [misc]backup-simplify: Simplify PI into PI 1537439691.798 * [misc]taylor: Taking taylor expansion of n in n 1537439691.798 * [misc]backup-simplify: Simplify 0 into 0 1537439691.798 * [misc]backup-simplify: Simplify 1 into 1 1537439691.798 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537439691.799 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537439691.799 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537439691.799 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1537439691.799 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1537439691.800 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1537439691.800 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537439691.801 * [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))) 1537439691.802 * [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)))) 1537439691.803 * [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)) 1537439691.803 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k 1537439691.803 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1537439691.803 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1537439691.803 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1537439691.803 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537439691.803 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439691.803 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1537439691.803 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537439691.803 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439691.803 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1537439691.803 * [misc]taylor: Taking taylor expansion of k in k 1537439691.803 * [misc]backup-simplify: Simplify 0 into 0 1537439691.803 * [misc]backup-simplify: Simplify 1 into 1 1537439691.803 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1537439691.803 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1537439691.803 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1537439691.803 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1537439691.803 * [misc]taylor: Taking taylor expansion of 2 in k 1537439691.803 * [misc]backup-simplify: Simplify 2 into 2 1537439691.803 * [misc]taylor: Taking taylor expansion of PI in k 1537439691.804 * [misc]backup-simplify: Simplify PI into PI 1537439691.804 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537439691.804 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537439691.804 * [misc]taylor: Taking taylor expansion of (log n) in k 1537439691.804 * [misc]taylor: Taking taylor expansion of n in k 1537439691.804 * [misc]backup-simplify: Simplify n into n 1537439691.804 * [misc]backup-simplify: Simplify (log n) into (log n) 1537439691.805 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1537439691.805 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1537439691.805 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1537439691.805 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1537439691.806 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1537439691.806 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1537439691.807 * [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)))) 1537439691.807 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1537439691.807 * [misc]taylor: Taking taylor expansion of k in k 1537439691.807 * [misc]backup-simplify: Simplify 0 into 0 1537439691.807 * [misc]backup-simplify: Simplify 1 into 1 1537439691.807 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537439691.808 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1537439691.809 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0 1537439691.809 * [misc]backup-simplify: Simplify 0 into 0 1537439691.810 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537439691.811 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537439691.814 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537439691.814 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1537439691.814 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1537439691.815 * [misc]backup-simplify: Simplify (- 0) into 0 1537439691.815 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537439691.815 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537439691.816 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1537439691.817 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1537439691.818 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1537439691.818 * [misc]taylor: Taking taylor expansion of 0 in k 1537439691.818 * [misc]backup-simplify: Simplify 0 into 0 1537439691.818 * [misc]backup-simplify: Simplify 0 into 0 1537439691.819 * [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)))))) 1537439691.820 * [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)))))) 1537439691.821 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439691.822 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1537439691.829 * [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 1537439691.829 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537439691.830 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1537439691.830 * [misc]backup-simplify: Simplify (- 0) into 0 1537439691.830 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537439691.831 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537439691.832 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1537439691.834 * [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 1537439691.835 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1537439691.836 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1537439691.836 * [misc]taylor: Taking taylor expansion of 0 in k 1537439691.836 * [misc]backup-simplify: Simplify 0 into 0 1537439691.836 * [misc]backup-simplify: Simplify 0 into 0 1537439691.836 * [misc]backup-simplify: Simplify 0 into 0 1537439691.838 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1537439691.839 * [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)))))) 1537439691.840 * [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)))))) 1537439691.842 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439691.843 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537439691.853 * [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 1537439691.853 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537439691.853 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1537439691.854 * [misc]backup-simplify: Simplify (- 0) into 0 1537439691.854 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537439691.855 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537439691.856 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1537439691.859 * [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 1537439691.860 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1537439691.861 * [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 1537439691.861 * [misc]taylor: Taking taylor expansion of 0 in k 1537439691.861 * [misc]backup-simplify: Simplify 0 into 0 1537439691.861 * [misc]backup-simplify: Simplify 0 into 0 1537439691.861 * [misc]backup-simplify: Simplify 0 into 0 1537439691.861 * [misc]backup-simplify: Simplify 0 into 0 1537439691.863 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1537439691.864 * [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)))))) 1537439691.864 * [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)))))) 1537439691.868 * [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)))))))) 1537439691.868 * [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))) 1537439691.868 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1537439691.869 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1537439691.869 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1537439691.869 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1537439691.869 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1537439691.869 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1537439691.869 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1537439691.869 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537439691.869 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439691.869 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1537439691.869 * [misc]taylor: Taking taylor expansion of k in k 1537439691.869 * [misc]backup-simplify: Simplify 0 into 0 1537439691.869 * [misc]backup-simplify: Simplify 1 into 1 1537439691.869 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1537439691.869 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537439691.869 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439691.869 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1537439691.869 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1537439691.869 * [misc]taylor: Taking taylor expansion of -2 in k 1537439691.869 * [misc]backup-simplify: Simplify -2 into -2 1537439691.869 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1537439691.869 * [misc]taylor: Taking taylor expansion of PI in k 1537439691.869 * [misc]backup-simplify: Simplify PI into PI 1537439691.869 * [misc]taylor: Taking taylor expansion of n in k 1537439691.869 * [misc]backup-simplify: Simplify n into n 1537439691.870 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537439691.870 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1537439691.870 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1537439691.870 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1537439691.870 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1537439691.870 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1537439691.871 * [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))) 1537439691.871 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1537439691.871 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1537439691.871 * [misc]taylor: Taking taylor expansion of -1 in k 1537439691.871 * [misc]backup-simplify: Simplify -1 into -1 1537439691.871 * [misc]taylor: Taking taylor expansion of k in k 1537439691.871 * [misc]backup-simplify: Simplify 0 into 0 1537439691.871 * [misc]backup-simplify: Simplify 1 into 1 1537439691.871 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1537439691.871 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537439691.872 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1537439691.872 * [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)))) 1537439691.872 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1537439691.872 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1537439691.872 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1537439691.872 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1537439691.872 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1537439691.872 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1537439691.872 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537439691.872 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439691.873 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1537439691.873 * [misc]taylor: Taking taylor expansion of k in n 1537439691.873 * [misc]backup-simplify: Simplify k into k 1537439691.873 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1537439691.873 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537439691.873 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439691.873 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1537439691.873 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537439691.873 * [misc]taylor: Taking taylor expansion of -2 in n 1537439691.873 * [misc]backup-simplify: Simplify -2 into -2 1537439691.873 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537439691.873 * [misc]taylor: Taking taylor expansion of PI in n 1537439691.873 * [misc]backup-simplify: Simplify PI into PI 1537439691.873 * [misc]taylor: Taking taylor expansion of n in n 1537439691.873 * [misc]backup-simplify: Simplify 0 into 0 1537439691.873 * [misc]backup-simplify: Simplify 1 into 1 1537439691.873 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537439691.874 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537439691.874 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537439691.874 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1537439691.874 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1537439691.875 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537439691.876 * [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))) 1537439691.877 * [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)))) 1537439691.877 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1537439691.877 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1537439691.877 * [misc]taylor: Taking taylor expansion of -1 in n 1537439691.877 * [misc]backup-simplify: Simplify -1 into -1 1537439691.877 * [misc]taylor: Taking taylor expansion of k in n 1537439691.877 * [misc]backup-simplify: Simplify k into k 1537439691.877 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1537439691.877 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1537439691.877 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1537439691.877 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1537439691.878 * [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))) 1537439691.878 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1537439691.878 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1537439691.878 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1537439691.878 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1537439691.878 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1537439691.878 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1537439691.878 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537439691.878 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439691.878 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1537439691.878 * [misc]taylor: Taking taylor expansion of k in n 1537439691.878 * [misc]backup-simplify: Simplify k into k 1537439691.878 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1537439691.878 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537439691.878 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439691.878 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1537439691.879 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537439691.879 * [misc]taylor: Taking taylor expansion of -2 in n 1537439691.879 * [misc]backup-simplify: Simplify -2 into -2 1537439691.879 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537439691.879 * [misc]taylor: Taking taylor expansion of PI in n 1537439691.879 * [misc]backup-simplify: Simplify PI into PI 1537439691.879 * [misc]taylor: Taking taylor expansion of n in n 1537439691.879 * [misc]backup-simplify: Simplify 0 into 0 1537439691.879 * [misc]backup-simplify: Simplify 1 into 1 1537439691.879 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537439691.879 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537439691.880 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537439691.880 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1537439691.880 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1537439691.881 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537439691.882 * [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))) 1537439691.883 * [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)))) 1537439691.883 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1537439691.883 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1537439691.883 * [misc]taylor: Taking taylor expansion of -1 in n 1537439691.883 * [misc]backup-simplify: Simplify -1 into -1 1537439691.883 * [misc]taylor: Taking taylor expansion of k in n 1537439691.883 * [misc]backup-simplify: Simplify k into k 1537439691.883 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1537439691.883 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1537439691.883 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1537439691.883 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1537439691.884 * [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))) 1537439691.884 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k 1537439691.884 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1537439691.884 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1537439691.884 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1537439691.884 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1537439691.884 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537439691.884 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439691.884 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1537439691.884 * [misc]taylor: Taking taylor expansion of k in k 1537439691.884 * [misc]backup-simplify: Simplify 0 into 0 1537439691.884 * [misc]backup-simplify: Simplify 1 into 1 1537439691.884 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1537439691.884 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537439691.884 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439691.884 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1537439691.884 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1537439691.884 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1537439691.884 * [misc]taylor: Taking taylor expansion of -2 in k 1537439691.884 * [misc]backup-simplify: Simplify -2 into -2 1537439691.884 * [misc]taylor: Taking taylor expansion of PI in k 1537439691.884 * [misc]backup-simplify: Simplify PI into PI 1537439691.885 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537439691.885 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537439691.885 * [misc]taylor: Taking taylor expansion of (log n) in k 1537439691.885 * [misc]taylor: Taking taylor expansion of n in k 1537439691.885 * [misc]backup-simplify: Simplify n into n 1537439691.885 * [misc]backup-simplify: Simplify (log n) into (log n) 1537439691.885 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1537439691.885 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1537439691.885 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1537439691.886 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1537439691.886 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1537439691.887 * [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)))) 1537439691.887 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1537439691.887 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1537439691.887 * [misc]taylor: Taking taylor expansion of -1 in k 1537439691.887 * [misc]backup-simplify: Simplify -1 into -1 1537439691.887 * [misc]taylor: Taking taylor expansion of k in k 1537439691.887 * [misc]backup-simplify: Simplify 0 into 0 1537439691.887 * [misc]backup-simplify: Simplify 1 into 1 1537439691.887 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1537439691.887 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537439691.887 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1537439691.888 * [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))))) 1537439691.888 * [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))))) 1537439691.889 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537439691.889 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537439691.891 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1537439691.891 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1537439691.892 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1537439691.892 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537439691.892 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537439691.893 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1537439691.894 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1537439691.894 * [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 1537439691.894 * [misc]taylor: Taking taylor expansion of 0 in k 1537439691.894 * [misc]backup-simplify: Simplify 0 into 0 1537439691.894 * [misc]backup-simplify: Simplify 0 into 0 1537439691.895 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1537439691.895 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1537439691.896 * [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)))))) 1537439691.896 * [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)))))) 1537439691.897 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439691.898 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1537439691.904 * [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 1537439691.904 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537439691.904 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1537439691.904 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537439691.905 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537439691.906 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1537439691.907 * [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 1537439691.907 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537439691.908 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1537439691.908 * [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 1537439691.908 * [misc]taylor: Taking taylor expansion of 0 in k 1537439691.908 * [misc]backup-simplify: Simplify 0 into 0 1537439691.908 * [misc]backup-simplify: Simplify 0 into 0 1537439691.909 * [misc]backup-simplify: Simplify 0 into 0 1537439691.909 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439691.909 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1537439691.911 * [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)))))) 1537439691.911 * [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)))))) 1537439691.913 * [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))))))))))) 1537439691.913 * * * * [misc]progress: [ 3 / 3 ] generating series at (2 1) 1537439691.914 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1537439691.914 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1537439691.914 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1537439691.914 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1537439691.914 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1537439691.914 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1537439691.914 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537439691.914 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439691.914 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1537439691.914 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537439691.914 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439691.914 * [misc]taylor: Taking taylor expansion of k in k 1537439691.914 * [misc]backup-simplify: Simplify 0 into 0 1537439691.914 * [misc]backup-simplify: Simplify 1 into 1 1537439691.914 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1537439691.914 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1537439691.914 * [misc]taylor: Taking taylor expansion of 2 in k 1537439691.914 * [misc]backup-simplify: Simplify 2 into 2 1537439691.914 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1537439691.914 * [misc]taylor: Taking taylor expansion of n in k 1537439691.914 * [misc]backup-simplify: Simplify n into n 1537439691.914 * [misc]taylor: Taking taylor expansion of PI in k 1537439691.914 * [misc]backup-simplify: Simplify PI into PI 1537439691.914 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1537439691.914 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1537439691.914 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1537439691.915 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1537439691.915 * [misc]backup-simplify: Simplify (- 0) into 0 1537439691.915 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1537439691.915 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1537439691.915 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1537439691.915 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1537439691.915 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1537439691.915 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1537439691.915 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1537439691.915 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537439691.915 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439691.915 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1537439691.915 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537439691.915 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439691.915 * [misc]taylor: Taking taylor expansion of k in n 1537439691.915 * [misc]backup-simplify: Simplify k into k 1537439691.915 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1537439691.915 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537439691.915 * [misc]taylor: Taking taylor expansion of 2 in n 1537439691.915 * [misc]backup-simplify: Simplify 2 into 2 1537439691.915 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537439691.915 * [misc]taylor: Taking taylor expansion of n in n 1537439691.915 * [misc]backup-simplify: Simplify 0 into 0 1537439691.916 * [misc]backup-simplify: Simplify 1 into 1 1537439691.916 * [misc]taylor: Taking taylor expansion of PI in n 1537439691.916 * [misc]backup-simplify: Simplify PI into PI 1537439691.916 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537439691.916 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537439691.916 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537439691.917 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537439691.917 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537439691.917 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1537439691.917 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1537439691.917 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1537439691.918 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537439691.918 * [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)))) 1537439691.919 * [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))))) 1537439691.919 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1537439691.919 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1537439691.919 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1537439691.919 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1537439691.919 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537439691.919 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439691.919 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1537439691.919 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537439691.919 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439691.919 * [misc]taylor: Taking taylor expansion of k in n 1537439691.919 * [misc]backup-simplify: Simplify k into k 1537439691.919 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1537439691.919 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537439691.919 * [misc]taylor: Taking taylor expansion of 2 in n 1537439691.919 * [misc]backup-simplify: Simplify 2 into 2 1537439691.919 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537439691.919 * [misc]taylor: Taking taylor expansion of n in n 1537439691.919 * [misc]backup-simplify: Simplify 0 into 0 1537439691.919 * [misc]backup-simplify: Simplify 1 into 1 1537439691.919 * [misc]taylor: Taking taylor expansion of PI in n 1537439691.919 * [misc]backup-simplify: Simplify PI into PI 1537439691.919 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537439691.920 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537439691.920 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537439691.921 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537439691.922 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537439691.922 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1537439691.922 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1537439691.922 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1537439691.923 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537439691.923 * [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)))) 1537439691.924 * [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))))) 1537439691.924 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1537439691.924 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1537439691.924 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1537439691.924 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537439691.924 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439691.924 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1537439691.924 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537439691.925 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439691.925 * [misc]taylor: Taking taylor expansion of k in k 1537439691.925 * [misc]backup-simplify: Simplify 0 into 0 1537439691.925 * [misc]backup-simplify: Simplify 1 into 1 1537439691.925 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1537439691.925 * [misc]taylor: Taking taylor expansion of (log n) in k 1537439691.925 * [misc]taylor: Taking taylor expansion of n in k 1537439691.925 * [misc]backup-simplify: Simplify n into n 1537439691.925 * [misc]backup-simplify: Simplify (log n) into (log n) 1537439691.925 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1537439691.925 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1537439691.925 * [misc]taylor: Taking taylor expansion of 2 in k 1537439691.925 * [misc]backup-simplify: Simplify 2 into 2 1537439691.925 * [misc]taylor: Taking taylor expansion of PI in k 1537439691.925 * [misc]backup-simplify: Simplify PI into PI 1537439691.925 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537439691.926 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537439691.926 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1537439691.926 * [misc]backup-simplify: Simplify (- 0) into 0 1537439691.926 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1537439691.927 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537439691.928 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1537439691.928 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1537439691.929 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1537439691.930 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1537439691.931 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1537439691.935 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537439691.935 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1537439691.935 * [misc]backup-simplify: Simplify (- 0) into 0 1537439691.935 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537439691.936 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537439691.937 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1537439691.939 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1537439691.939 * [misc]taylor: Taking taylor expansion of 0 in k 1537439691.939 * [misc]backup-simplify: Simplify 0 into 0 1537439691.939 * [misc]backup-simplify: Simplify 0 into 0 1537439691.940 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1537439691.941 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537439691.944 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537439691.945 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537439691.945 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1537439691.945 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1537439691.945 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1537439691.946 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1537439691.948 * [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))))))) 1537439691.950 * [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))))))) 1537439691.951 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1537439691.953 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1537439691.959 * [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 1537439691.959 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1537439691.960 * [misc]backup-simplify: Simplify (- 0) into 0 1537439691.960 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537439691.960 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537439691.961 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1537439691.964 * [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 1537439691.964 * [misc]taylor: Taking taylor expansion of 0 in k 1537439691.964 * [misc]backup-simplify: Simplify 0 into 0 1537439691.964 * [misc]backup-simplify: Simplify 0 into 0 1537439691.964 * [misc]backup-simplify: Simplify 0 into 0 1537439691.966 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1537439691.968 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1537439691.974 * [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 1537439691.974 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537439691.974 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1537439691.975 * [misc]backup-simplify: Simplify (- 0) into 0 1537439691.975 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537439691.976 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1537439691.979 * [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))))) 1537439691.983 * [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))))) 1537439691.991 * [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))))) 1537439691.991 * [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)))) 1537439691.992 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1537439691.992 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1537439691.992 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1537439691.992 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1537439691.992 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1537439691.992 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537439691.992 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439691.992 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1537439691.992 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537439691.992 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439691.992 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1537439691.992 * [misc]taylor: Taking taylor expansion of k in k 1537439691.992 * [misc]backup-simplify: Simplify 0 into 0 1537439691.992 * [misc]backup-simplify: Simplify 1 into 1 1537439691.992 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1537439691.992 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1537439691.992 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1537439691.992 * [misc]taylor: Taking taylor expansion of 2 in k 1537439691.992 * [misc]backup-simplify: Simplify 2 into 2 1537439691.992 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1537439691.992 * [misc]taylor: Taking taylor expansion of PI in k 1537439691.992 * [misc]backup-simplify: Simplify PI into PI 1537439691.992 * [misc]taylor: Taking taylor expansion of n in k 1537439691.992 * [misc]backup-simplify: Simplify n into n 1537439691.993 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537439691.993 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1537439691.993 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1537439691.993 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1537439691.993 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1537439691.994 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1537439691.994 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1537439691.994 * [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)))) 1537439691.995 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1537439691.995 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1537439691.995 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1537439691.995 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1537439691.995 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537439691.995 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439691.995 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1537439691.995 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537439691.995 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439691.995 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1537439691.995 * [misc]taylor: Taking taylor expansion of k in n 1537439691.995 * [misc]backup-simplify: Simplify k into k 1537439691.995 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1537439691.995 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1537439691.995 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537439691.995 * [misc]taylor: Taking taylor expansion of 2 in n 1537439691.995 * [misc]backup-simplify: Simplify 2 into 2 1537439691.995 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537439691.995 * [misc]taylor: Taking taylor expansion of PI in n 1537439691.995 * [misc]backup-simplify: Simplify PI into PI 1537439691.995 * [misc]taylor: Taking taylor expansion of n in n 1537439691.995 * [misc]backup-simplify: Simplify 0 into 0 1537439691.995 * [misc]backup-simplify: Simplify 1 into 1 1537439691.996 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537439691.996 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537439691.997 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537439691.997 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1537439691.997 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1537439691.997 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1537439691.998 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537439691.998 * [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))) 1537439691.999 * [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)))) 1537439691.999 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1537439691.999 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1537439691.999 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1537439691.999 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1537439691.999 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537439691.999 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439691.999 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1537439691.999 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537439691.999 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439691.999 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1537439691.999 * [misc]taylor: Taking taylor expansion of k in n 1537439692.000 * [misc]backup-simplify: Simplify k into k 1537439692.000 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1537439692.000 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1537439692.000 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537439692.000 * [misc]taylor: Taking taylor expansion of 2 in n 1537439692.000 * [misc]backup-simplify: Simplify 2 into 2 1537439692.000 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537439692.000 * [misc]taylor: Taking taylor expansion of PI in n 1537439692.000 * [misc]backup-simplify: Simplify PI into PI 1537439692.000 * [misc]taylor: Taking taylor expansion of n in n 1537439692.000 * [misc]backup-simplify: Simplify 0 into 0 1537439692.000 * [misc]backup-simplify: Simplify 1 into 1 1537439692.000 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537439692.000 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537439692.001 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537439692.001 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1537439692.001 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1537439692.001 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1537439692.002 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537439692.003 * [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))) 1537439692.004 * [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)))) 1537439692.004 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1537439692.004 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1537439692.004 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1537439692.004 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537439692.004 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439692.004 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1537439692.004 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537439692.004 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439692.004 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1537439692.004 * [misc]taylor: Taking taylor expansion of k in k 1537439692.004 * [misc]backup-simplify: Simplify 0 into 0 1537439692.004 * [misc]backup-simplify: Simplify 1 into 1 1537439692.004 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1537439692.004 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1537439692.004 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1537439692.004 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1537439692.004 * [misc]taylor: Taking taylor expansion of 2 in k 1537439692.005 * [misc]backup-simplify: Simplify 2 into 2 1537439692.005 * [misc]taylor: Taking taylor expansion of PI in k 1537439692.005 * [misc]backup-simplify: Simplify PI into PI 1537439692.005 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537439692.005 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537439692.005 * [misc]taylor: Taking taylor expansion of (log n) in k 1537439692.006 * [misc]taylor: Taking taylor expansion of n in k 1537439692.006 * [misc]backup-simplify: Simplify n into n 1537439692.006 * [misc]backup-simplify: Simplify (log n) into (log n) 1537439692.006 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1537439692.006 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1537439692.006 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1537439692.006 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1537439692.007 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1537439692.007 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1537439692.008 * [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)))) 1537439692.009 * [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)))) 1537439692.010 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537439692.011 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537439692.014 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537439692.015 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1537439692.015 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1537439692.015 * [misc]backup-simplify: Simplify (- 0) into 0 1537439692.015 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537439692.016 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537439692.017 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1537439692.018 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1537439692.019 * [misc]taylor: Taking taylor expansion of 0 in k 1537439692.019 * [misc]backup-simplify: Simplify 0 into 0 1537439692.019 * [misc]backup-simplify: Simplify 0 into 0 1537439692.019 * [misc]backup-simplify: Simplify 0 into 0 1537439692.020 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439692.021 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1537439692.028 * [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 1537439692.028 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537439692.028 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1537439692.028 * [misc]backup-simplify: Simplify (- 0) into 0 1537439692.029 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537439692.029 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537439692.030 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1537439692.033 * [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 1537439692.033 * [misc]taylor: Taking taylor expansion of 0 in k 1537439692.033 * [misc]backup-simplify: Simplify 0 into 0 1537439692.033 * [misc]backup-simplify: Simplify 0 into 0 1537439692.033 * [misc]backup-simplify: Simplify 0 into 0 1537439692.033 * [misc]backup-simplify: Simplify 0 into 0 1537439692.035 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439692.037 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537439692.047 * [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 1537439692.047 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537439692.047 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1537439692.048 * [misc]backup-simplify: Simplify (- 0) into 0 1537439692.048 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537439692.049 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537439692.050 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1537439692.055 * [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 1537439692.055 * [misc]taylor: Taking taylor expansion of 0 in k 1537439692.055 * [misc]backup-simplify: Simplify 0 into 0 1537439692.055 * [misc]backup-simplify: Simplify 0 into 0 1537439692.056 * [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))))) 1537439692.056 * [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)) 1537439692.056 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1537439692.056 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1537439692.056 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1537439692.056 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1537439692.056 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1537439692.056 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1537439692.056 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537439692.056 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439692.056 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1537439692.056 * [misc]taylor: Taking taylor expansion of k in k 1537439692.057 * [misc]backup-simplify: Simplify 0 into 0 1537439692.057 * [misc]backup-simplify: Simplify 1 into 1 1537439692.057 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1537439692.057 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537439692.057 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439692.057 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1537439692.057 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1537439692.057 * [misc]taylor: Taking taylor expansion of -2 in k 1537439692.057 * [misc]backup-simplify: Simplify -2 into -2 1537439692.057 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1537439692.057 * [misc]taylor: Taking taylor expansion of PI in k 1537439692.057 * [misc]backup-simplify: Simplify PI into PI 1537439692.057 * [misc]taylor: Taking taylor expansion of n in k 1537439692.057 * [misc]backup-simplify: Simplify n into n 1537439692.057 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537439692.057 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1537439692.057 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1537439692.058 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1537439692.058 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1537439692.058 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1537439692.058 * [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))) 1537439692.058 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1537439692.058 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1537439692.058 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1537439692.058 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1537439692.058 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1537439692.058 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537439692.058 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439692.059 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1537439692.059 * [misc]taylor: Taking taylor expansion of k in n 1537439692.059 * [misc]backup-simplify: Simplify k into k 1537439692.059 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1537439692.059 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537439692.059 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439692.059 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1537439692.059 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537439692.059 * [misc]taylor: Taking taylor expansion of -2 in n 1537439692.059 * [misc]backup-simplify: Simplify -2 into -2 1537439692.059 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537439692.059 * [misc]taylor: Taking taylor expansion of PI in n 1537439692.059 * [misc]backup-simplify: Simplify PI into PI 1537439692.059 * [misc]taylor: Taking taylor expansion of n in n 1537439692.059 * [misc]backup-simplify: Simplify 0 into 0 1537439692.059 * [misc]backup-simplify: Simplify 1 into 1 1537439692.059 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537439692.060 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537439692.060 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537439692.060 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1537439692.061 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1537439692.061 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537439692.065 * [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))) 1537439692.066 * [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)))) 1537439692.066 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1537439692.066 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1537439692.066 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1537439692.066 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1537439692.066 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1537439692.066 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537439692.066 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439692.066 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1537439692.066 * [misc]taylor: Taking taylor expansion of k in n 1537439692.066 * [misc]backup-simplify: Simplify k into k 1537439692.066 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1537439692.066 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537439692.066 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439692.066 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1537439692.066 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537439692.066 * [misc]taylor: Taking taylor expansion of -2 in n 1537439692.066 * [misc]backup-simplify: Simplify -2 into -2 1537439692.066 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537439692.066 * [misc]taylor: Taking taylor expansion of PI in n 1537439692.066 * [misc]backup-simplify: Simplify PI into PI 1537439692.066 * [misc]taylor: Taking taylor expansion of n in n 1537439692.067 * [misc]backup-simplify: Simplify 0 into 0 1537439692.067 * [misc]backup-simplify: Simplify 1 into 1 1537439692.067 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537439692.067 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537439692.068 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537439692.068 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1537439692.068 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1537439692.069 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537439692.069 * [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))) 1537439692.070 * [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)))) 1537439692.070 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1537439692.070 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1537439692.070 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1537439692.070 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1537439692.071 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537439692.071 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439692.071 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1537439692.071 * [misc]taylor: Taking taylor expansion of k in k 1537439692.071 * [misc]backup-simplify: Simplify 0 into 0 1537439692.071 * [misc]backup-simplify: Simplify 1 into 1 1537439692.071 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1537439692.071 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537439692.071 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439692.071 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1537439692.071 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1537439692.071 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1537439692.071 * [misc]taylor: Taking taylor expansion of -2 in k 1537439692.071 * [misc]backup-simplify: Simplify -2 into -2 1537439692.071 * [misc]taylor: Taking taylor expansion of PI in k 1537439692.071 * [misc]backup-simplify: Simplify PI into PI 1537439692.071 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537439692.072 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537439692.072 * [misc]taylor: Taking taylor expansion of (log n) in k 1537439692.072 * [misc]taylor: Taking taylor expansion of n in k 1537439692.072 * [misc]backup-simplify: Simplify n into n 1537439692.072 * [misc]backup-simplify: Simplify (log n) into (log n) 1537439692.072 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1537439692.072 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1537439692.072 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1537439692.073 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1537439692.074 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1537439692.074 * [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)))) 1537439692.075 * [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)))) 1537439692.076 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537439692.077 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537439692.080 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1537439692.080 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1537439692.081 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1537439692.081 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537439692.082 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537439692.082 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1537439692.084 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1537439692.084 * [misc]taylor: Taking taylor expansion of 0 in k 1537439692.084 * [misc]backup-simplify: Simplify 0 into 0 1537439692.084 * [misc]backup-simplify: Simplify 0 into 0 1537439692.084 * [misc]backup-simplify: Simplify 0 into 0 1537439692.086 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439692.087 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1537439692.093 * [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 1537439692.093 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537439692.093 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1537439692.094 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537439692.094 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537439692.095 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1537439692.098 * [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 1537439692.098 * [misc]taylor: Taking taylor expansion of 0 in k 1537439692.098 * [misc]backup-simplify: Simplify 0 into 0 1537439692.098 * [misc]backup-simplify: Simplify 0 into 0 1537439692.098 * [misc]backup-simplify: Simplify 0 into 0 1537439692.098 * [misc]backup-simplify: Simplify 0 into 0 1537439692.100 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439692.102 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537439692.112 * [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 1537439692.113 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537439692.113 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1537439692.114 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537439692.114 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537439692.116 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1537439692.119 * [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 1537439692.120 * [misc]taylor: Taking taylor expansion of 0 in k 1537439692.120 * [misc]backup-simplify: Simplify 0 into 0 1537439692.120 * [misc]backup-simplify: Simplify 0 into 0 1537439692.121 * [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))))) 1537439692.121 * * * [misc]progress: simplifying candidates 1537439692.121 * * * * [misc]progress: [ 1 / 83 ] simplifiying candidate # 1537439692.121 * * * * [misc]progress: [ 2 / 83 ] simplifiying candidate # 1537439692.121 * * * * [misc]progress: [ 3 / 83 ] simplifiying candidate # 1537439692.121 * * * * [misc]progress: [ 4 / 83 ] simplifiying candidate # 1537439692.121 * * * * [misc]progress: [ 5 / 83 ] simplifiying candidate # 1537439692.121 * * * * [misc]progress: [ 6 / 83 ] simplifiying candidate # 1537439692.121 * * * * [misc]progress: [ 7 / 83 ] simplifiying candidate # 1537439692.121 * * * * [misc]progress: [ 8 / 83 ] simplifiying candidate # 1537439692.121 * * * * [misc]progress: [ 9 / 83 ] simplifiying candidate # 1537439692.121 * * * * [misc]progress: [ 10 / 83 ] simplifiying candidate # 1537439692.121 * * * * [misc]progress: [ 11 / 83 ] simplifiying candidate # 1537439692.122 * * * * [misc]progress: [ 12 / 83 ] simplifiying candidate # 1537439692.122 * * * * [misc]progress: [ 13 / 83 ] simplifiying candidate # 1537439692.122 * * * * [misc]progress: [ 14 / 83 ] simplifiying candidate # 1537439692.122 * * * * [misc]progress: [ 15 / 83 ] simplifiying candidate # 1537439692.122 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1537439692.123 * * [misc]simplify: iters left: 6 (14 enodes) 1537439692.131 * * [misc]simplify: iters left: 5 (27 enodes) 1537439692.142 * * [misc]simplify: iters left: 4 (55 enodes) 1537439692.161 * * [misc]simplify: iters left: 3 (144 enodes) 1537439692.313 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))) 1537439692.313 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))))) 1537439692.313 * * * * [misc]progress: [ 16 / 83 ] simplifiying candidate # 1537439692.313 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1537439692.315 * * [misc]simplify: iters left: 6 (14 enodes) 1537439692.322 * * [misc]simplify: iters left: 5 (27 enodes) 1537439692.330 * * [misc]simplify: iters left: 4 (55 enodes) 1537439692.349 * * [misc]simplify: iters left: 3 (144 enodes) 1537439692.509 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))) 1537439692.509 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))))) 1537439692.509 * * * * [misc]progress: [ 17 / 83 ] simplifiying candidate # 1537439692.509 * [enter]simplify: Simplifying (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k))) 1537439692.511 * * [misc]simplify: iters left: 6 (14 enodes) 1537439692.518 * * [misc]simplify: iters left: 5 (24 enodes) 1537439692.529 * * [misc]simplify: iters left: 4 (43 enodes) 1537439692.547 * * [misc]simplify: iters left: 3 (73 enodes) 1537439692.601 * * [misc]simplify: iters left: 2 (220 enodes) 1537439692.929 * [exit]simplify: Simplified to (fma (log (* (* PI 2) n)) (- 1/2 (/ k 2)) (- (log (sqrt k)))) 1537439692.929 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log (* (* PI 2) n)) (- 1/2 (/ k 2)) (- (log (sqrt k)))))) 1537439692.929 * * * * [misc]progress: [ 18 / 83 ] simplifiying candidate # 1537439692.929 * * * * [misc]progress: [ 19 / 83 ] simplifiying candidate # 1537439692.929 * * * * [misc]progress: [ 20 / 83 ] simplifiying candidate # 1537439692.930 * [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))) 1537439692.932 * * [misc]simplify: iters left: 6 (16 enodes) 1537439692.940 * * [misc]simplify: iters left: 5 (31 enodes) 1537439692.955 * * [misc]simplify: iters left: 4 (67 enodes) 1537439692.981 * * [misc]simplify: iters left: 3 (124 enodes) 1537439693.013 * * [misc]simplify: iters left: 2 (195 enodes) 1537439693.092 * * [misc]simplify: iters left: 1 (309 enodes) 1537439693.246 * [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)))) 1537439693.246 * [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)))))) 1537439693.246 * * * * [misc]progress: [ 21 / 83 ] simplifiying candidate # 1537439693.246 * * * * [misc]progress: [ 22 / 83 ] simplifiying candidate # 1537439693.246 * * * * [misc]progress: [ 23 / 83 ] simplifiying candidate # 1537439693.246 * * * * [misc]progress: [ 24 / 83 ] simplifiying candidate # 1537439693.246 * * * * [misc]progress: [ 25 / 83 ] simplifiying candidate # 1537439693.246 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537439693.247 * * [misc]simplify: iters left: 6 (12 enodes) 1537439693.250 * * [misc]simplify: iters left: 5 (19 enodes) 1537439693.253 * * [misc]simplify: iters left: 4 (25 enodes) 1537439693.257 * * [misc]simplify: iters left: 3 (26 enodes) 1537439693.261 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537439693.261 * [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))))) 1537439693.261 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1537439693.262 * * [misc]simplify: iters left: 6 (12 enodes) 1537439693.265 * * [misc]simplify: iters left: 5 (18 enodes) 1537439693.268 * * [misc]simplify: iters left: 4 (24 enodes) 1537439693.274 * * [misc]simplify: iters left: 3 (25 enodes) 1537439693.282 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1537439693.282 * [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))))) 1537439693.282 * * * * [misc]progress: [ 26 / 83 ] simplifiying candidate # 1537439693.282 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1537439693.283 * * [misc]simplify: iters left: 6 (11 enodes) 1537439693.287 * * [misc]simplify: iters left: 5 (16 enodes) 1537439693.292 * * [misc]simplify: iters left: 4 (22 enodes) 1537439693.296 * * [misc]simplify: iters left: 3 (24 enodes) 1537439693.299 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1537439693.299 * [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))))) 1537439693.300 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1537439693.300 * * [misc]simplify: iters left: 6 (12 enodes) 1537439693.303 * * [misc]simplify: iters left: 5 (18 enodes) 1537439693.306 * * [misc]simplify: iters left: 4 (24 enodes) 1537439693.310 * * [misc]simplify: iters left: 3 (25 enodes) 1537439693.314 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1537439693.314 * [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))))) 1537439693.314 * * * * [misc]progress: [ 27 / 83 ] simplifiying candidate # 1537439693.314 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1537439693.315 * * [misc]simplify: iters left: 6 (9 enodes) 1537439693.317 * * [misc]simplify: iters left: 5 (16 enodes) 1537439693.320 * * [misc]simplify: iters left: 4 (24 enodes) 1537439693.324 * * [misc]simplify: iters left: 3 (26 enodes) 1537439693.327 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1537439693.327 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1537439693.328 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1537439693.328 * * [misc]simplify: iters left: 6 (11 enodes) 1537439693.331 * * [misc]simplify: iters left: 5 (17 enodes) 1537439693.334 * * [misc]simplify: iters left: 4 (23 enodes) 1537439693.337 * * [misc]simplify: iters left: 3 (24 enodes) 1537439693.341 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1537439693.341 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1537439693.341 * * * * [misc]progress: [ 28 / 83 ] simplifiying candidate # 1537439693.342 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537439693.342 * * [misc]simplify: iters left: 6 (12 enodes) 1537439693.345 * * [misc]simplify: iters left: 5 (19 enodes) 1537439693.348 * * [misc]simplify: iters left: 4 (25 enodes) 1537439693.353 * * [misc]simplify: iters left: 3 (26 enodes) 1537439693.361 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537439693.361 * [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))))) 1537439693.361 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1537439693.363 * * [misc]simplify: iters left: 6 (12 enodes) 1537439693.370 * * [misc]simplify: iters left: 5 (18 enodes) 1537439693.376 * * [misc]simplify: iters left: 4 (24 enodes) 1537439693.384 * * [misc]simplify: iters left: 3 (25 enodes) 1537439693.392 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1537439693.392 * [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))))) 1537439693.392 * * * * [misc]progress: [ 29 / 83 ] simplifiying candidate # 1537439693.392 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1537439693.393 * * [misc]simplify: iters left: 6 (11 enodes) 1537439693.395 * * [misc]simplify: iters left: 5 (16 enodes) 1537439693.398 * * [misc]simplify: iters left: 4 (22 enodes) 1537439693.401 * * [misc]simplify: iters left: 3 (24 enodes) 1537439693.405 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1537439693.405 * [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))))) 1537439693.405 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1537439693.406 * * [misc]simplify: iters left: 6 (12 enodes) 1537439693.408 * * [misc]simplify: iters left: 5 (18 enodes) 1537439693.412 * * [misc]simplify: iters left: 4 (24 enodes) 1537439693.415 * * [misc]simplify: iters left: 3 (25 enodes) 1537439693.419 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1537439693.420 * [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))))) 1537439693.420 * * * * [misc]progress: [ 30 / 83 ] simplifiying candidate # 1537439693.420 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1537439693.420 * * [misc]simplify: iters left: 6 (9 enodes) 1537439693.422 * * [misc]simplify: iters left: 5 (16 enodes) 1537439693.426 * * [misc]simplify: iters left: 4 (24 enodes) 1537439693.429 * * [misc]simplify: iters left: 3 (26 enodes) 1537439693.433 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1537439693.433 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1537439693.433 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1537439693.434 * * [misc]simplify: iters left: 6 (11 enodes) 1537439693.437 * * [misc]simplify: iters left: 5 (17 enodes) 1537439693.443 * * [misc]simplify: iters left: 4 (23 enodes) 1537439693.450 * * [misc]simplify: iters left: 3 (24 enodes) 1537439693.458 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1537439693.458 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1537439693.458 * * * * [misc]progress: [ 31 / 83 ] simplifiying candidate # 1537439693.459 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537439693.462 * * [misc]simplify: iters left: 6 (11 enodes) 1537439693.467 * * [misc]simplify: iters left: 5 (15 enodes) 1537439693.472 * * [misc]simplify: iters left: 4 (18 enodes) 1537439693.478 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537439693.478 * [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))))) 1537439693.479 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1537439693.480 * * [misc]simplify: iters left: 6 (11 enodes) 1537439693.484 * * [misc]simplify: iters left: 5 (14 enodes) 1537439693.489 * * [misc]simplify: iters left: 4 (17 enodes) 1537439693.495 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1537439693.495 * [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))))) 1537439693.495 * * * * [misc]progress: [ 32 / 83 ] simplifiying candidate # 1537439693.496 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1537439693.496 * * [misc]simplify: iters left: 6 (10 enodes) 1537439693.498 * * [misc]simplify: iters left: 5 (12 enodes) 1537439693.500 * * [misc]simplify: iters left: 4 (15 enodes) 1537439693.502 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1537439693.502 * [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))))) 1537439693.503 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1537439693.503 * * [misc]simplify: iters left: 6 (11 enodes) 1537439693.505 * * [misc]simplify: iters left: 5 (14 enodes) 1537439693.507 * * [misc]simplify: iters left: 4 (17 enodes) 1537439693.510 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1537439693.510 * [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))))) 1537439693.510 * * * * [misc]progress: [ 33 / 83 ] simplifiying candidate # 1537439693.511 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) 1) 1537439693.511 * * [misc]simplify: iters left: 6 (9 enodes) 1537439693.513 * * [misc]simplify: iters left: 5 (13 enodes) 1537439693.515 * * [misc]simplify: iters left: 4 (18 enodes) 1537439693.518 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1537439693.518 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1537439693.518 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1537439693.519 * * [misc]simplify: iters left: 6 (10 enodes) 1537439693.520 * * [misc]simplify: iters left: 5 (13 enodes) 1537439693.523 * * [misc]simplify: iters left: 4 (16 enodes) 1537439693.525 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1537439693.525 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1537439693.525 * * * * [misc]progress: [ 34 / 83 ] simplifiying candidate # 1537439693.525 * [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)))) 1537439693.526 * * [misc]simplify: iters left: 6 (16 enodes) 1537439693.532 * * [misc]simplify: iters left: 5 (28 enodes) 1537439693.545 * * [misc]simplify: iters left: 4 (46 enodes) 1537439693.560 * * [misc]simplify: iters left: 3 (50 enodes) 1537439693.576 * * [misc]simplify: iters left: 2 (53 enodes) 1537439693.596 * [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)))) 1537439693.596 * [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))))) 1537439693.596 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1537439693.597 * * [misc]simplify: iters left: 6 (14 enodes) 1537439693.603 * * [misc]simplify: iters left: 5 (20 enodes) 1537439693.611 * * [misc]simplify: iters left: 4 (29 enodes) 1537439693.620 * * [misc]simplify: iters left: 3 (30 enodes) 1537439693.630 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1537439693.631 * [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))))) 1537439693.631 * * * * [misc]progress: [ 35 / 83 ] simplifiying candidate # 1537439693.631 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1537439693.632 * * [misc]simplify: iters left: 6 (15 enodes) 1537439693.639 * * [misc]simplify: iters left: 5 (23 enodes) 1537439693.648 * * [misc]simplify: iters left: 4 (34 enodes) 1537439693.659 * * [misc]simplify: iters left: 3 (37 enodes) 1537439693.673 * [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)))))) 1537439693.673 * [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))))) 1537439693.673 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1537439693.674 * * [misc]simplify: iters left: 6 (14 enodes) 1537439693.680 * * [misc]simplify: iters left: 5 (20 enodes) 1537439693.687 * * [misc]simplify: iters left: 4 (29 enodes) 1537439693.696 * * [misc]simplify: iters left: 3 (30 enodes) 1537439693.706 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1537439693.706 * [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))))) 1537439693.706 * * * * [misc]progress: [ 36 / 83 ] simplifiying candidate # 1537439693.707 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1) 1537439693.710 * * [misc]simplify: iters left: 6 (14 enodes) 1537439693.717 * * [misc]simplify: iters left: 5 (24 enodes) 1537439693.727 * * [misc]simplify: iters left: 4 (39 enodes) 1537439693.741 * * [misc]simplify: iters left: 3 (54 enodes) 1537439693.759 * * [misc]simplify: iters left: 2 (80 enodes) 1537439693.780 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1537439693.780 * [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)))) 1537439693.780 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1537439693.782 * * [misc]simplify: iters left: 6 (13 enodes) 1537439693.786 * * [misc]simplify: iters left: 5 (19 enodes) 1537439693.793 * * [misc]simplify: iters left: 4 (28 enodes) 1537439693.800 * * [misc]simplify: iters left: 3 (30 enodes) 1537439693.805 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1537439693.805 * [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)))) 1537439693.806 * * * * [misc]progress: [ 37 / 83 ] simplifiying candidate # 1537439693.806 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537439693.807 * * [misc]simplify: iters left: 6 (15 enodes) 1537439693.810 * * [misc]simplify: iters left: 5 (23 enodes) 1537439693.814 * * [misc]simplify: iters left: 4 (32 enodes) 1537439693.821 * * [misc]simplify: iters left: 3 (34 enodes) 1537439693.827 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537439693.827 * [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))))) 1537439693.827 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1537439693.828 * * [misc]simplify: iters left: 6 (14 enodes) 1537439693.830 * * [misc]simplify: iters left: 5 (20 enodes) 1537439693.835 * * [misc]simplify: iters left: 4 (29 enodes) 1537439693.839 * * [misc]simplify: iters left: 3 (30 enodes) 1537439693.844 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1537439693.844 * [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))))) 1537439693.844 * * * * [misc]progress: [ 38 / 83 ] simplifiying candidate # 1537439693.844 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1537439693.845 * * [misc]simplify: iters left: 6 (14 enodes) 1537439693.848 * * [misc]simplify: iters left: 5 (20 enodes) 1537439693.856 * * [misc]simplify: iters left: 4 (29 enodes) 1537439693.864 * * [misc]simplify: iters left: 3 (30 enodes) 1537439693.871 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1537439693.871 * [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))))) 1537439693.871 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1537439693.872 * * [misc]simplify: iters left: 6 (14 enodes) 1537439693.875 * * [misc]simplify: iters left: 5 (20 enodes) 1537439693.879 * * [misc]simplify: iters left: 4 (29 enodes) 1537439693.883 * * [misc]simplify: iters left: 3 (30 enodes) 1537439693.889 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1537439693.889 * [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))))) 1537439693.889 * * * * [misc]progress: [ 39 / 83 ] simplifiying candidate # 1537439693.889 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1) 1537439693.890 * * [misc]simplify: iters left: 6 (13 enodes) 1537439693.892 * * [misc]simplify: iters left: 5 (21 enodes) 1537439693.898 * * [misc]simplify: iters left: 4 (32 enodes) 1537439693.909 * * [misc]simplify: iters left: 3 (33 enodes) 1537439693.918 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) 1537439693.918 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)))) 1537439693.919 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1537439693.920 * * [misc]simplify: iters left: 6 (13 enodes) 1537439693.925 * * [misc]simplify: iters left: 5 (19 enodes) 1537439693.933 * * [misc]simplify: iters left: 4 (28 enodes) 1537439693.942 * * [misc]simplify: iters left: 3 (30 enodes) 1537439693.952 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1537439693.952 * [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)))) 1537439693.952 * * * * [misc]progress: [ 40 / 83 ] simplifiying candidate # 1537439693.952 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537439693.953 * * [misc]simplify: iters left: 6 (6 enodes) 1537439693.955 * * [misc]simplify: iters left: 5 (10 enodes) 1537439693.959 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1537439693.959 * [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))))) 1537439693.960 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1537439693.961 * * [misc]simplify: iters left: 6 (13 enodes) 1537439693.966 * * [misc]simplify: iters left: 5 (19 enodes) 1537439693.974 * * [misc]simplify: iters left: 4 (28 enodes) 1537439693.983 * * [misc]simplify: iters left: 3 (30 enodes) 1537439693.992 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1537439693.993 * [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))))) 1537439693.993 * * * * [misc]progress: [ 41 / 83 ] simplifiying candidate # 1537439693.993 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1537439693.993 * * [misc]simplify: iters left: 4 (5 enodes) 1537439693.995 * * [misc]simplify: iters left: 3 (7 enodes) 1537439693.997 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1537439693.997 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1537439693.997 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1537439693.998 * * [misc]simplify: iters left: 6 (13 enodes) 1537439694.004 * * [misc]simplify: iters left: 5 (19 enodes) 1537439694.011 * * [misc]simplify: iters left: 4 (28 enodes) 1537439694.019 * * [misc]simplify: iters left: 3 (30 enodes) 1537439694.026 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1537439694.026 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1537439694.026 * * * * [misc]progress: [ 42 / 83 ] simplifiying candidate # 1537439694.026 * [enter]simplify: Simplifying (/ 1 1) 1537439694.027 * * [misc]simplify: iters left: 2 (2 enodes) 1537439694.027 * * [misc]simplify: iters left: 1 (4 enodes) 1537439694.028 * [exit]simplify: Simplified to 1 1537439694.028 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) 1537439694.028 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1537439694.028 * * [misc]simplify: iters left: 6 (12 enodes) 1537439694.031 * * [misc]simplify: iters left: 5 (18 enodes) 1537439694.036 * * [misc]simplify: iters left: 4 (27 enodes) 1537439694.040 * * [misc]simplify: iters left: 3 (29 enodes) 1537439694.045 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)) 1537439694.045 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1537439694.045 * * * * [misc]progress: [ 43 / 83 ] simplifiying candidate # 1537439694.045 * * * * [misc]progress: [ 44 / 83 ] simplifiying candidate # 1537439694.045 * * * * [misc]progress: [ 45 / 83 ] simplifiying candidate # 1537439694.045 * * * * [misc]progress: [ 46 / 83 ] simplifiying candidate # 1537439694.045 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1537439694.046 * * [misc]simplify: iters left: 2 (3 enodes) 1537439694.046 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1537439694.046 * [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)))) 1537439694.046 * * * * [misc]progress: [ 47 / 83 ] simplifiying candidate # 1537439694.046 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1537439694.047 * * [misc]simplify: iters left: 2 (3 enodes) 1537439694.047 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1537439694.047 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1537439694.047 * * * * [misc]progress: [ 48 / 83 ] simplifiying candidate # 1537439694.047 * [enter]simplify: Simplifying (sqrt k) 1537439694.047 * * [misc]simplify: iters left: 1 (2 enodes) 1537439694.048 * [exit]simplify: Simplified to (sqrt k) 1537439694.048 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt k))) 1537439694.048 * * * * [misc]progress: [ 49 / 83 ] simplifiying candidate # 1537439694.048 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1537439694.048 * * [misc]simplify: iters left: 5 (7 enodes) 1537439694.050 * * [misc]simplify: iters left: 4 (12 enodes) 1537439694.052 * * [misc]simplify: iters left: 3 (18 enodes) 1537439694.055 * * [misc]simplify: iters left: 2 (20 enodes) 1537439694.061 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1537439694.061 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1537439694.061 * * * * [misc]progress: [ 50 / 83 ] simplifiying candidate # 1537439694.062 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1537439694.062 * * [misc]simplify: iters left: 5 (7 enodes) 1537439694.065 * * [misc]simplify: iters left: 4 (12 enodes) 1537439694.070 * * [misc]simplify: iters left: 3 (18 enodes) 1537439694.077 * * [misc]simplify: iters left: 2 (20 enodes) 1537439694.083 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1537439694.083 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1537439694.083 * * * * [misc]progress: [ 51 / 83 ] simplifiying candidate # 1537439694.083 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1537439694.084 * * [misc]simplify: iters left: 5 (7 enodes) 1537439694.086 * * [misc]simplify: iters left: 4 (9 enodes) 1537439694.089 * * [misc]simplify: iters left: 3 (12 enodes) 1537439694.093 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1537439694.093 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1537439694.093 * * * * [misc]progress: [ 52 / 83 ] simplifiying candidate # 1537439694.093 * [enter]simplify: Simplifying (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1537439694.094 * * [misc]simplify: iters left: 6 (12 enodes) 1537439694.099 * * [misc]simplify: iters left: 5 (18 enodes) 1537439694.106 * * [misc]simplify: iters left: 4 (27 enodes) 1537439694.115 * * [misc]simplify: iters left: 3 (29 enodes) 1537439694.125 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1537439694.125 * [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))))))) 1537439694.125 * * * * [misc]progress: [ 53 / 83 ] simplifiying candidate # 1537439694.125 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1537439694.126 * * [misc]simplify: iters left: 6 (11 enodes) 1537439694.129 * * [misc]simplify: iters left: 5 (17 enodes) 1537439694.133 * * [misc]simplify: iters left: 4 (26 enodes) 1537439694.137 * * [misc]simplify: iters left: 3 (27 enodes) 1537439694.143 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1537439694.143 * [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))))))) 1537439694.143 * * * * [misc]progress: [ 54 / 83 ] simplifiying candidate # 1537439694.143 * * * * [misc]progress: [ 55 / 83 ] simplifiying candidate # 1537439694.143 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1537439694.143 * * [misc]simplify: iters left: 5 (7 enodes) 1537439694.145 * * [misc]simplify: iters left: 4 (12 enodes) 1537439694.147 * * [misc]simplify: iters left: 3 (18 enodes) 1537439694.150 * * [misc]simplify: iters left: 2 (20 enodes) 1537439694.153 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1537439694.153 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) 1537439694.153 * * * * [misc]progress: [ 56 / 83 ] simplifiying candidate # 1537439694.153 * * * * [misc]progress: [ 57 / 83 ] simplifiying candidate # 1537439694.153 * * * * [misc]progress: [ 58 / 83 ] simplifiying candidate # 1537439694.153 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1537439694.154 * * [misc]simplify: iters left: 6 (11 enodes) 1537439694.158 * * [misc]simplify: iters left: 5 (21 enodes) 1537439694.169 * * [misc]simplify: iters left: 4 (47 enodes) 1537439694.196 * * [misc]simplify: iters left: 3 (113 enodes) 1537439694.256 * * [misc]simplify: iters left: 2 (328 enodes) 1537439694.625 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1537439694.625 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))) (sqrt k))) 1537439694.625 * * * * [misc]progress: [ 59 / 83 ] simplifiying candidate # 1537439694.625 * * * * [misc]progress: [ 60 / 83 ] simplifiying candidate # 1537439694.625 * [enter]simplify: Simplifying (* PI (* n 2)) 1537439694.626 * * [misc]simplify: iters left: 4 (5 enodes) 1537439694.629 * * [misc]simplify: iters left: 3 (9 enodes) 1537439694.632 * * [misc]simplify: iters left: 2 (15 enodes) 1537439694.637 * * [misc]simplify: iters left: 1 (17 enodes) 1537439694.643 * [exit]simplify: Simplified to (* (* 2 n) PI) 1537439694.643 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k))) 1537439694.643 * * * * [misc]progress: [ 61 / 83 ] simplifiying candidate # 1537439694.643 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1537439694.644 * * [misc]simplify: iters left: 5 (8 enodes) 1537439694.647 * * [misc]simplify: iters left: 4 (12 enodes) 1537439694.652 * * [misc]simplify: iters left: 3 (18 enodes) 1537439694.658 * * [misc]simplify: iters left: 2 (20 enodes) 1537439694.664 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1537439694.664 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2))) (sqrt k))) 1537439694.664 * * * * [misc]progress: [ 62 / 83 ] simplifiying candidate # 1537439694.664 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1537439694.664 * * [misc]simplify: iters left: 5 (6 enodes) 1537439694.665 * * [misc]simplify: iters left: 4 (8 enodes) 1537439694.667 * * [misc]simplify: iters left: 3 (11 enodes) 1537439694.669 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1537439694.669 * [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))) 1537439694.669 * * * * [misc]progress: [ 63 / 83 ] simplifiying candidate # 1537439694.669 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1537439694.669 * * [misc]simplify: iters left: 5 (6 enodes) 1537439694.671 * * [misc]simplify: iters left: 4 (8 enodes) 1537439694.672 * * [misc]simplify: iters left: 3 (11 enodes) 1537439694.674 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1537439694.674 * [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))) 1537439694.674 * * * * [misc]progress: [ 64 / 83 ] simplifiying candidate # 1537439694.674 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1537439694.674 * * [misc]simplify: iters left: 4 (5 enodes) 1537439694.675 * * [misc]simplify: iters left: 3 (7 enodes) 1537439694.677 * * [misc]simplify: iters left: 2 (10 enodes) 1537439694.678 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1537439694.678 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k))) 1537439694.678 * * * * [misc]progress: [ 65 / 83 ] simplifiying candidate # 1537439694.678 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1537439694.679 * * [misc]simplify: iters left: 5 (9 enodes) 1537439694.681 * * [misc]simplify: iters left: 4 (15 enodes) 1537439694.684 * * [misc]simplify: iters left: 3 (21 enodes) 1537439694.687 * * [misc]simplify: iters left: 2 (22 enodes) 1537439694.691 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1537439694.691 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1537439694.691 * * * * [misc]progress: [ 66 / 83 ] simplifiying candidate # 1537439694.691 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1537439694.691 * * [misc]simplify: iters left: 5 (9 enodes) 1537439694.695 * * [misc]simplify: iters left: 4 (15 enodes) 1537439694.701 * * [misc]simplify: iters left: 3 (21 enodes) 1537439694.707 * * [misc]simplify: iters left: 2 (22 enodes) 1537439694.714 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1537439694.714 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1537439694.714 * * * * [misc]progress: [ 67 / 83 ] simplifiying candidate # 1537439694.714 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1537439694.715 * * [misc]simplify: iters left: 5 (7 enodes) 1537439694.716 * * [misc]simplify: iters left: 4 (9 enodes) 1537439694.718 * * [misc]simplify: iters left: 3 (12 enodes) 1537439694.720 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1537439694.720 * [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))) 1537439694.720 * * * * [misc]progress: [ 68 / 83 ] simplifiying candidate # 1537439694.720 * * * * [misc]progress: [ 69 / 83 ] simplifiying candidate # 1537439694.720 * * * * [misc]progress: [ 70 / 83 ] simplifiying candidate # 1537439694.720 * * * * [misc]progress: [ 71 / 83 ] simplifiying candidate # 1537439694.720 * * * * [misc]progress: [ 72 / 83 ] simplifiying candidate # 1537439694.720 * * * * [misc]progress: [ 73 / 83 ] simplifiying candidate # 1537439694.720 * * * * [misc]progress: [ 74 / 83 ] simplifiying candidate # 1537439694.720 * * * * [misc]progress: [ 75 / 83 ] simplifiying candidate # 1537439694.721 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537439694.721 * * [misc]simplify: iters left: 4 (5 enodes) 1537439694.722 * * [misc]simplify: iters left: 3 (9 enodes) 1537439694.724 * * [misc]simplify: iters left: 2 (15 enodes) 1537439694.728 * * [misc]simplify: iters left: 1 (17 enodes) 1537439694.730 * [exit]simplify: Simplified to (* (* PI n) 2) 1537439694.730 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1537439694.730 * * * * [misc]progress: [ 76 / 83 ] simplifiying candidate # 1537439694.731 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537439694.731 * * [misc]simplify: iters left: 4 (5 enodes) 1537439694.732 * * [misc]simplify: iters left: 3 (9 enodes) 1537439694.734 * * [misc]simplify: iters left: 2 (15 enodes) 1537439694.736 * * [misc]simplify: iters left: 1 (17 enodes) 1537439694.739 * [exit]simplify: Simplified to (* (* PI n) 2) 1537439694.739 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1537439694.739 * * * * [misc]progress: [ 77 / 83 ] simplifiying candidate # 1537439694.739 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537439694.740 * * [misc]simplify: iters left: 4 (5 enodes) 1537439694.741 * * [misc]simplify: iters left: 3 (9 enodes) 1537439694.743 * * [misc]simplify: iters left: 2 (15 enodes) 1537439694.747 * * [misc]simplify: iters left: 1 (17 enodes) 1537439694.752 * [exit]simplify: Simplified to (* (* PI n) 2) 1537439694.753 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1537439694.753 * * * * [misc]progress: [ 78 / 83 ] simplifiying candidate # 1537439694.753 * [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)))))))))))))))))))))) 1537439694.753 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1537439694.753 * * * * [misc]progress: [ 79 / 83 ] simplifiying candidate # 1537439694.753 * [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)))))))) 1537439694.753 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1537439694.753 * * * * [misc]progress: [ 80 / 83 ] simplifiying candidate # 1537439694.754 * [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))))))))))) 1537439694.754 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1537439694.754 * * * * [misc]progress: [ 81 / 83 ] simplifiying candidate # 1537439694.754 * [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))))) 1537439694.758 * * [misc]simplify: iters left: 6 (37 enodes) 1537439694.784 * * [misc]simplify: iters left: 5 (108 enodes) 1537439694.847 * * [misc]simplify: iters left: 4 (368 enodes) 1537439695.429 * [exit]simplify: Simplified to (fma -1/2 (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) (fma (* (* (* k k) (log n)) (* (log (* PI 2)) 1/4)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (fma (* (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (log (* PI 2)) (log (* PI 2)))) (* (* k k) 1/8) (fma (* (* (* k k) (log n)) (* (log n) 1/8)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (pow n 1/2) (pow (* PI 2) 1/2)))))) 1537439695.429 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (fma -1/2 (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) (fma (* (* (* k k) (log n)) (* (log (* PI 2)) 1/4)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (fma (* (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (log (* PI 2)) (log (* PI 2)))) (* (* k k) 1/8) (fma (* (* (* k k) (log n)) (* (log n) 1/8)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (pow n 1/2) (pow (* PI 2) 1/2)))))) (sqrt k))) 1537439695.429 * * * * [misc]progress: [ 82 / 83 ] simplifiying candidate # 1537439695.430 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1537439695.431 * * [misc]simplify: iters left: 6 (15 enodes) 1537439695.440 * * [misc]simplify: iters left: 5 (33 enodes) 1537439695.456 * * [misc]simplify: iters left: 4 (64 enodes) 1537439695.485 * * [misc]simplify: iters left: 3 (179 enodes) 1537439695.636 * [exit]simplify: Simplified to (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) 1537439695.636 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1537439695.636 * * * * [misc]progress: [ 83 / 83 ] simplifiying candidate # 1537439695.636 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1537439695.637 * * [misc]simplify: iters left: 6 (15 enodes) 1537439695.641 * * [misc]simplify: iters left: 5 (30 enodes) 1537439695.652 * * [misc]simplify: iters left: 4 (65 enodes) 1537439695.705 * * [misc]simplify: iters left: 3 (208 enodes) 1537439696.002 * [exit]simplify: Simplified to (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))) 1537439696.002 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))) (sqrt k))) 1537439696.002 * * * [misc]progress: adding candidates to table 1537439697.693 * * [misc]progress: iteration 2 / 4 1537439697.693 * * * [misc]progress: picking best candidate 1537439697.787 * * * * [misc]pick: Picked # 1537439697.787 * * * [misc]progress: localizing error 1537439697.854 * * * [misc]progress: generating rewritten candidates 1537439697.855 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2 1) 1537439697.881 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 1) 1537439697.907 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) 1537439698.004 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1) 1537439698.020 * * * [misc]progress: generating series expansions 1537439698.020 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 1) 1537439698.020 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1537439698.020 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1537439698.020 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537439698.020 * [misc]taylor: Taking taylor expansion of 2 in n 1537439698.020 * [misc]backup-simplify: Simplify 2 into 2 1537439698.020 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537439698.020 * [misc]taylor: Taking taylor expansion of n in n 1537439698.020 * [misc]backup-simplify: Simplify 0 into 0 1537439698.020 * [misc]backup-simplify: Simplify 1 into 1 1537439698.020 * [misc]taylor: Taking taylor expansion of PI in n 1537439698.020 * [misc]backup-simplify: Simplify PI into PI 1537439698.020 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537439698.020 * [misc]taylor: Taking taylor expansion of 2 in n 1537439698.020 * [misc]backup-simplify: Simplify 2 into 2 1537439698.020 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537439698.020 * [misc]taylor: Taking taylor expansion of n in n 1537439698.020 * [misc]backup-simplify: Simplify 0 into 0 1537439698.020 * [misc]backup-simplify: Simplify 1 into 1 1537439698.020 * [misc]taylor: Taking taylor expansion of PI in n 1537439698.021 * [misc]backup-simplify: Simplify PI into PI 1537439698.021 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537439698.021 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537439698.021 * [misc]backup-simplify: Simplify 0 into 0 1537439698.022 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537439698.022 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537439698.022 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537439698.023 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1537439698.024 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1537439698.024 * [misc]backup-simplify: Simplify 0 into 0 1537439698.026 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1537439698.027 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1537439698.027 * [misc]backup-simplify: Simplify 0 into 0 1537439698.030 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537439698.032 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1537439698.032 * [misc]backup-simplify: Simplify 0 into 0 1537439698.035 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537439698.038 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1537439698.038 * [misc]backup-simplify: Simplify 0 into 0 1537439698.042 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537439698.046 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1537439698.046 * [misc]backup-simplify: Simplify 0 into 0 1537439698.050 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1537439698.055 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1537439698.055 * [misc]backup-simplify: Simplify 0 into 0 1537439698.055 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1537439698.055 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1537439698.055 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1537439698.055 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537439698.055 * [misc]taylor: Taking taylor expansion of 2 in n 1537439698.055 * [misc]backup-simplify: Simplify 2 into 2 1537439698.056 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537439698.056 * [misc]taylor: Taking taylor expansion of PI in n 1537439698.056 * [misc]backup-simplify: Simplify PI into PI 1537439698.056 * [misc]taylor: Taking taylor expansion of n in n 1537439698.056 * [misc]backup-simplify: Simplify 0 into 0 1537439698.056 * [misc]backup-simplify: Simplify 1 into 1 1537439698.056 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537439698.056 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537439698.056 * [misc]taylor: Taking taylor expansion of 2 in n 1537439698.056 * [misc]backup-simplify: Simplify 2 into 2 1537439698.056 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537439698.056 * [misc]taylor: Taking taylor expansion of PI in n 1537439698.056 * [misc]backup-simplify: Simplify PI into PI 1537439698.056 * [misc]taylor: Taking taylor expansion of n in n 1537439698.056 * [misc]backup-simplify: Simplify 0 into 0 1537439698.056 * [misc]backup-simplify: Simplify 1 into 1 1537439698.057 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537439698.057 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537439698.057 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537439698.058 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537439698.059 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537439698.059 * [misc]backup-simplify: Simplify 0 into 0 1537439698.061 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439698.062 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1537439698.062 * [misc]backup-simplify: Simplify 0 into 0 1537439698.064 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439698.065 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537439698.065 * [misc]backup-simplify: Simplify 0 into 0 1537439698.068 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439698.070 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537439698.070 * [misc]backup-simplify: Simplify 0 into 0 1537439698.072 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439698.075 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537439698.075 * [misc]backup-simplify: Simplify 0 into 0 1537439698.078 * [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 1537439698.081 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537439698.081 * [misc]backup-simplify: Simplify 0 into 0 1537439698.082 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1537439698.082 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1537439698.082 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1537439698.082 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537439698.082 * [misc]taylor: Taking taylor expansion of -2 in n 1537439698.082 * [misc]backup-simplify: Simplify -2 into -2 1537439698.082 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537439698.082 * [misc]taylor: Taking taylor expansion of PI in n 1537439698.082 * [misc]backup-simplify: Simplify PI into PI 1537439698.082 * [misc]taylor: Taking taylor expansion of n in n 1537439698.082 * [misc]backup-simplify: Simplify 0 into 0 1537439698.082 * [misc]backup-simplify: Simplify 1 into 1 1537439698.082 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537439698.082 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537439698.082 * [misc]taylor: Taking taylor expansion of -2 in n 1537439698.082 * [misc]backup-simplify: Simplify -2 into -2 1537439698.083 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537439698.083 * [misc]taylor: Taking taylor expansion of PI in n 1537439698.083 * [misc]backup-simplify: Simplify PI into PI 1537439698.083 * [misc]taylor: Taking taylor expansion of n in n 1537439698.083 * [misc]backup-simplify: Simplify 0 into 0 1537439698.083 * [misc]backup-simplify: Simplify 1 into 1 1537439698.083 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537439698.083 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537439698.084 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537439698.085 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537439698.085 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537439698.085 * [misc]backup-simplify: Simplify 0 into 0 1537439698.087 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439698.088 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1537439698.088 * [misc]backup-simplify: Simplify 0 into 0 1537439698.090 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439698.092 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537439698.092 * [misc]backup-simplify: Simplify 0 into 0 1537439698.094 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439698.097 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537439698.097 * [misc]backup-simplify: Simplify 0 into 0 1537439698.099 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439698.102 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537439698.102 * [misc]backup-simplify: Simplify 0 into 0 1537439698.105 * [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 1537439698.108 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537439698.108 * [misc]backup-simplify: Simplify 0 into 0 1537439698.109 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1537439698.109 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 1) 1537439698.109 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1537439698.109 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1537439698.109 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537439698.109 * [misc]taylor: Taking taylor expansion of 2 in n 1537439698.109 * [misc]backup-simplify: Simplify 2 into 2 1537439698.109 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537439698.109 * [misc]taylor: Taking taylor expansion of n in n 1537439698.110 * [misc]backup-simplify: Simplify 0 into 0 1537439698.110 * [misc]backup-simplify: Simplify 1 into 1 1537439698.110 * [misc]taylor: Taking taylor expansion of PI in n 1537439698.110 * [misc]backup-simplify: Simplify PI into PI 1537439698.110 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537439698.110 * [misc]taylor: Taking taylor expansion of 2 in n 1537439698.110 * [misc]backup-simplify: Simplify 2 into 2 1537439698.110 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537439698.110 * [misc]taylor: Taking taylor expansion of n in n 1537439698.110 * [misc]backup-simplify: Simplify 0 into 0 1537439698.110 * [misc]backup-simplify: Simplify 1 into 1 1537439698.110 * [misc]taylor: Taking taylor expansion of PI in n 1537439698.110 * [misc]backup-simplify: Simplify PI into PI 1537439698.110 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537439698.110 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537439698.111 * [misc]backup-simplify: Simplify 0 into 0 1537439698.111 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537439698.112 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537439698.112 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537439698.113 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1537439698.115 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1537439698.115 * [misc]backup-simplify: Simplify 0 into 0 1537439698.116 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1537439698.118 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1537439698.118 * [misc]backup-simplify: Simplify 0 into 0 1537439698.120 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537439698.122 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1537439698.123 * [misc]backup-simplify: Simplify 0 into 0 1537439698.125 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537439698.128 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1537439698.128 * [misc]backup-simplify: Simplify 0 into 0 1537439698.132 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537439698.136 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1537439698.136 * [misc]backup-simplify: Simplify 0 into 0 1537439698.140 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1537439698.145 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1537439698.145 * [misc]backup-simplify: Simplify 0 into 0 1537439698.145 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1537439698.145 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1537439698.145 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1537439698.145 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537439698.145 * [misc]taylor: Taking taylor expansion of 2 in n 1537439698.145 * [misc]backup-simplify: Simplify 2 into 2 1537439698.146 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537439698.146 * [misc]taylor: Taking taylor expansion of PI in n 1537439698.146 * [misc]backup-simplify: Simplify PI into PI 1537439698.146 * [misc]taylor: Taking taylor expansion of n in n 1537439698.146 * [misc]backup-simplify: Simplify 0 into 0 1537439698.146 * [misc]backup-simplify: Simplify 1 into 1 1537439698.146 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537439698.146 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537439698.146 * [misc]taylor: Taking taylor expansion of 2 in n 1537439698.146 * [misc]backup-simplify: Simplify 2 into 2 1537439698.147 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537439698.147 * [misc]taylor: Taking taylor expansion of PI in n 1537439698.147 * [misc]backup-simplify: Simplify PI into PI 1537439698.147 * [misc]taylor: Taking taylor expansion of n in n 1537439698.147 * [misc]backup-simplify: Simplify 0 into 0 1537439698.147 * [misc]backup-simplify: Simplify 1 into 1 1537439698.147 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537439698.147 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537439698.148 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537439698.149 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537439698.150 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537439698.150 * [misc]backup-simplify: Simplify 0 into 0 1537439698.151 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439698.152 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1537439698.152 * [misc]backup-simplify: Simplify 0 into 0 1537439698.154 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439698.156 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537439698.156 * [misc]backup-simplify: Simplify 0 into 0 1537439698.158 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439698.163 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537439698.163 * [misc]backup-simplify: Simplify 0 into 0 1537439698.165 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439698.168 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537439698.168 * [misc]backup-simplify: Simplify 0 into 0 1537439698.171 * [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 1537439698.175 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537439698.175 * [misc]backup-simplify: Simplify 0 into 0 1537439698.175 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1537439698.175 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1537439698.175 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1537439698.175 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537439698.175 * [misc]taylor: Taking taylor expansion of -2 in n 1537439698.175 * [misc]backup-simplify: Simplify -2 into -2 1537439698.175 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537439698.175 * [misc]taylor: Taking taylor expansion of PI in n 1537439698.175 * [misc]backup-simplify: Simplify PI into PI 1537439698.175 * [misc]taylor: Taking taylor expansion of n in n 1537439698.176 * [misc]backup-simplify: Simplify 0 into 0 1537439698.176 * [misc]backup-simplify: Simplify 1 into 1 1537439698.176 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537439698.176 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537439698.176 * [misc]taylor: Taking taylor expansion of -2 in n 1537439698.176 * [misc]backup-simplify: Simplify -2 into -2 1537439698.176 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537439698.176 * [misc]taylor: Taking taylor expansion of PI in n 1537439698.176 * [misc]backup-simplify: Simplify PI into PI 1537439698.176 * [misc]taylor: Taking taylor expansion of n in n 1537439698.176 * [misc]backup-simplify: Simplify 0 into 0 1537439698.176 * [misc]backup-simplify: Simplify 1 into 1 1537439698.176 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537439698.177 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537439698.177 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537439698.178 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537439698.179 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537439698.179 * [misc]backup-simplify: Simplify 0 into 0 1537439698.180 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439698.182 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1537439698.182 * [misc]backup-simplify: Simplify 0 into 0 1537439698.183 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439698.185 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537439698.185 * [misc]backup-simplify: Simplify 0 into 0 1537439698.187 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439698.189 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537439698.190 * [misc]backup-simplify: Simplify 0 into 0 1537439698.192 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439698.195 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537439698.195 * [misc]backup-simplify: Simplify 0 into 0 1537439698.198 * [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 1537439698.202 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537439698.202 * [misc]backup-simplify: Simplify 0 into 0 1537439698.203 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1537439698.203 * * * * [misc]progress: [ 3 / 4 ] generating series at (2) 1537439698.204 * [misc]backup-simplify: Simplify (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)) into (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* n PI) k))) 1537439698.204 * [misc]approximate: Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* n PI) k))) in (n k) around 0 1537439698.204 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* n PI) k))) in k 1537439698.204 * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) in k 1537439698.204 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537439698.204 * [misc]taylor: Taking taylor expansion of 2 in k 1537439698.204 * [misc]backup-simplify: Simplify 2 into 2 1537439698.204 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537439698.204 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537439698.204 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in k 1537439698.204 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in k 1537439698.204 * [misc]taylor: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in k 1537439698.204 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1537439698.204 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537439698.204 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439698.205 * [misc]taylor: Taking taylor expansion of k in k 1537439698.205 * [misc]backup-simplify: Simplify 0 into 0 1537439698.205 * [misc]backup-simplify: Simplify 1 into 1 1537439698.205 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1537439698.205 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1537439698.205 * [misc]taylor: Taking taylor expansion of 2 in k 1537439698.205 * [misc]backup-simplify: Simplify 2 into 2 1537439698.205 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1537439698.205 * [misc]taylor: Taking taylor expansion of n in k 1537439698.205 * [misc]backup-simplify: Simplify n into n 1537439698.205 * [misc]taylor: Taking taylor expansion of PI in k 1537439698.205 * [misc]backup-simplify: Simplify PI into PI 1537439698.205 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1537439698.205 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1537439698.205 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1537439698.205 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1537439698.206 * [misc]backup-simplify: Simplify (* 0 (log (* 2 (* n PI)))) into 0 1537439698.206 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1537439698.206 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1537439698.207 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1537439698.208 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1537439698.208 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1/2 (log (* 2 (* n PI))))) into (* 1/2 (log (* 2 (* n PI)))) 1537439698.208 * [misc]backup-simplify: Simplify (exp 0) into 1 1537439698.209 * [misc]backup-simplify: Simplify (/ (sqrt 2) 1) into (sqrt 2) 1537439698.209 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* n PI) k)) in k 1537439698.209 * [misc]taylor: Taking taylor expansion of (/ (* n PI) k) in k 1537439698.209 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1537439698.209 * [misc]taylor: Taking taylor expansion of n in k 1537439698.209 * [misc]backup-simplify: Simplify n into n 1537439698.209 * [misc]taylor: Taking taylor expansion of PI in k 1537439698.209 * [misc]backup-simplify: Simplify PI into PI 1537439698.209 * [misc]taylor: Taking taylor expansion of k in k 1537439698.209 * [misc]backup-simplify: Simplify 0 into 0 1537439698.209 * [misc]backup-simplify: Simplify 1 into 1 1537439698.209 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1537439698.209 * [misc]backup-simplify: Simplify (/ (* n PI) 1) into (* n PI) 1537439698.209 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537439698.210 * [misc]backup-simplify: Simplify (/ (* n PI) (* 2 (sqrt 0))) into (* +nan.0 (* n PI)) 1537439698.210 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* n PI) k))) in n 1537439698.210 * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) in n 1537439698.210 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537439698.210 * [misc]taylor: Taking taylor expansion of 2 in n 1537439698.210 * [misc]backup-simplify: Simplify 2 into 2 1537439698.210 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537439698.210 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537439698.210 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in n 1537439698.210 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in n 1537439698.210 * [misc]taylor: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in n 1537439698.210 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1537439698.210 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537439698.210 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439698.210 * [misc]taylor: Taking taylor expansion of k in n 1537439698.210 * [misc]backup-simplify: Simplify k into k 1537439698.210 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1537439698.210 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537439698.210 * [misc]taylor: Taking taylor expansion of 2 in n 1537439698.210 * [misc]backup-simplify: Simplify 2 into 2 1537439698.210 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537439698.211 * [misc]taylor: Taking taylor expansion of n in n 1537439698.211 * [misc]backup-simplify: Simplify 0 into 0 1537439698.211 * [misc]backup-simplify: Simplify 1 into 1 1537439698.211 * [misc]taylor: Taking taylor expansion of PI in n 1537439698.211 * [misc]backup-simplify: Simplify PI into PI 1537439698.211 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537439698.211 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537439698.212 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537439698.213 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537439698.213 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537439698.213 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1537439698.214 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537439698.215 * [misc]backup-simplify: Simplify (* (* 1/2 k) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (+ (log n) (log (* 2 PI))) k)) 1537439698.215 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) into (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) 1537439698.216 * [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)))) 1537439698.216 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* n PI) k)) in n 1537439698.216 * [misc]taylor: Taking taylor expansion of (/ (* n PI) k) in n 1537439698.216 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537439698.216 * [misc]taylor: Taking taylor expansion of n in n 1537439698.216 * [misc]backup-simplify: Simplify 0 into 0 1537439698.216 * [misc]backup-simplify: Simplify 1 into 1 1537439698.216 * [misc]taylor: Taking taylor expansion of PI in n 1537439698.216 * [misc]backup-simplify: Simplify PI into PI 1537439698.216 * [misc]taylor: Taking taylor expansion of k in n 1537439698.217 * [misc]backup-simplify: Simplify k into k 1537439698.217 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537439698.218 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537439698.218 * [misc]backup-simplify: Simplify (/ PI k) into (/ PI k) 1537439698.218 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537439698.218 * [misc]backup-simplify: Simplify (/ (/ PI k) (* 2 (sqrt 0))) into (* +nan.0 (/ PI k)) 1537439698.218 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* n PI) k))) in n 1537439698.218 * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) in n 1537439698.218 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537439698.218 * [misc]taylor: Taking taylor expansion of 2 in n 1537439698.218 * [misc]backup-simplify: Simplify 2 into 2 1537439698.218 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537439698.219 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537439698.219 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in n 1537439698.219 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in n 1537439698.219 * [misc]taylor: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in n 1537439698.219 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1537439698.219 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537439698.219 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439698.219 * [misc]taylor: Taking taylor expansion of k in n 1537439698.219 * [misc]backup-simplify: Simplify k into k 1537439698.219 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1537439698.219 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537439698.219 * [misc]taylor: Taking taylor expansion of 2 in n 1537439698.219 * [misc]backup-simplify: Simplify 2 into 2 1537439698.219 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537439698.219 * [misc]taylor: Taking taylor expansion of n in n 1537439698.219 * [misc]backup-simplify: Simplify 0 into 0 1537439698.219 * [misc]backup-simplify: Simplify 1 into 1 1537439698.219 * [misc]taylor: Taking taylor expansion of PI in n 1537439698.219 * [misc]backup-simplify: Simplify PI into PI 1537439698.219 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537439698.220 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537439698.220 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537439698.221 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537439698.222 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537439698.222 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1537439698.222 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537439698.223 * [misc]backup-simplify: Simplify (* (* 1/2 k) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (+ (log n) (log (* 2 PI))) k)) 1537439698.224 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) into (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) 1537439698.225 * [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)))) 1537439698.225 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* n PI) k)) in n 1537439698.225 * [misc]taylor: Taking taylor expansion of (/ (* n PI) k) in n 1537439698.225 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537439698.225 * [misc]taylor: Taking taylor expansion of n in n 1537439698.225 * [misc]backup-simplify: Simplify 0 into 0 1537439698.225 * [misc]backup-simplify: Simplify 1 into 1 1537439698.225 * [misc]taylor: Taking taylor expansion of PI in n 1537439698.225 * [misc]backup-simplify: Simplify PI into PI 1537439698.225 * [misc]taylor: Taking taylor expansion of k in n 1537439698.225 * [misc]backup-simplify: Simplify k into k 1537439698.225 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537439698.226 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537439698.226 * [misc]backup-simplify: Simplify (/ PI k) into (/ PI k) 1537439698.226 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537439698.227 * [misc]backup-simplify: Simplify (/ (/ PI k) (* 2 (sqrt 0))) into (* +nan.0 (/ PI k)) 1537439698.228 * [misc]backup-simplify: Simplify (* (/ (sqrt 2) (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) 0) into 0 1537439698.228 * [misc]taylor: Taking taylor expansion of 0 in k 1537439698.228 * [misc]backup-simplify: Simplify 0 into 0 1537439698.229 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1537439698.230 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1537439698.233 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537439698.234 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1537439698.234 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537439698.235 * [misc]backup-simplify: Simplify (+ (* (* 1/2 k) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1537439698.237 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1537439698.239 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (+ (* (/ (sqrt 2) (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))))))) into 0 1537439698.241 * [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)))) 1537439698.241 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) PI) (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) k)))) in k 1537439698.241 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) PI) (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) k))) in k 1537439698.241 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1537439698.241 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537439698.241 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt 2) PI) (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) k)) in k 1537439698.241 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) PI) in k 1537439698.241 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537439698.241 * [misc]taylor: Taking taylor expansion of 2 in k 1537439698.241 * [misc]backup-simplify: Simplify 2 into 2 1537439698.241 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537439698.242 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537439698.242 * [misc]taylor: Taking taylor expansion of PI in k 1537439698.242 * [misc]backup-simplify: Simplify PI into PI 1537439698.242 * [misc]taylor: Taking taylor expansion of (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) k) in k 1537439698.242 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) in k 1537439698.242 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (+ (log n) (log (* 2 PI))) k)) in k 1537439698.242 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537439698.242 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439698.242 * [misc]taylor: Taking taylor expansion of (* (+ (log n) (log (* 2 PI))) k) in k 1537439698.242 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1537439698.242 * [misc]taylor: Taking taylor expansion of (log n) in k 1537439698.242 * [misc]taylor: Taking taylor expansion of n in k 1537439698.242 * [misc]backup-simplify: Simplify n into n 1537439698.242 * [misc]backup-simplify: Simplify (log n) into (log n) 1537439698.242 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1537439698.242 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1537439698.242 * [misc]taylor: Taking taylor expansion of 2 in k 1537439698.242 * [misc]backup-simplify: Simplify 2 into 2 1537439698.242 * [misc]taylor: Taking taylor expansion of PI in k 1537439698.242 * [misc]backup-simplify: Simplify PI into PI 1537439698.243 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537439698.243 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537439698.243 * [misc]taylor: Taking taylor expansion of k in k 1537439698.243 * [misc]backup-simplify: Simplify 0 into 0 1537439698.243 * [misc]backup-simplify: Simplify 1 into 1 1537439698.244 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537439698.244 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) 0) into 0 1537439698.245 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1537439698.246 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1537439698.246 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537439698.249 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537439698.249 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537439698.249 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 1) (* 0 0)) into (+ (log n) (log (* 2 PI))) 1537439698.250 * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (log n) (log (* 2 PI)))) (* 0 0)) into (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1537439698.250 * [misc]backup-simplify: Simplify (exp 0) into 1 1537439698.250 * [misc]taylor: Taking taylor expansion of k in k 1537439698.250 * [misc]backup-simplify: Simplify 0 into 0 1537439698.250 * [misc]backup-simplify: Simplify 1 into 1 1537439698.250 * [misc]backup-simplify: Simplify (* (sqrt 2) PI) into (* (sqrt 2) PI) 1537439698.250 * [misc]backup-simplify: Simplify (* 1 0) into 0 1537439698.251 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1) 1)))) into (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1537439698.252 * [misc]backup-simplify: Simplify (+ (* 1 1) (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 0)) into 1 1537439698.252 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) PI) 1) into (* (sqrt 2) PI) 1537439698.253 * [misc]backup-simplify: Simplify (* +nan.0 (* (sqrt 2) PI)) into (* +nan.0 (* (sqrt 2) PI)) 1537439698.254 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1537439698.254 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1537439698.254 * [misc]backup-simplify: Simplify 0 into 0 1537439698.255 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1537439698.255 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ PI k) (/ 0 k)))) into 0 1537439698.256 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (/ PI k)) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow PI 2) (pow k 2))) 1537439698.257 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1537439698.258 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1537439698.259 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1537439698.262 * [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 1537439698.262 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1537439698.263 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537439698.263 * [misc]backup-simplify: Simplify (+ (* (* 1/2 k) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1537439698.265 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1537439698.267 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (+ (* (/ (sqrt 2) (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))))) (* 0 (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))))))) into 0 1537439698.268 * [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))))) 1537439698.268 * [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 1537439698.268 * [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 1537439698.268 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1537439698.268 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537439698.268 * [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 1537439698.268 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow PI 2)) in k 1537439698.268 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537439698.268 * [misc]taylor: Taking taylor expansion of 2 in k 1537439698.268 * [misc]backup-simplify: Simplify 2 into 2 1537439698.269 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537439698.269 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537439698.269 * [misc]taylor: Taking taylor expansion of (pow PI 2) in k 1537439698.269 * [misc]taylor: Taking taylor expansion of PI in k 1537439698.269 * [misc]backup-simplify: Simplify PI into PI 1537439698.269 * [misc]taylor: Taking taylor expansion of (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) (pow k 2)) in k 1537439698.269 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) in k 1537439698.269 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (+ (log n) (log (* 2 PI))) k)) in k 1537439698.269 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537439698.269 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439698.269 * [misc]taylor: Taking taylor expansion of (* (+ (log n) (log (* 2 PI))) k) in k 1537439698.269 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1537439698.269 * [misc]taylor: Taking taylor expansion of (log n) in k 1537439698.269 * [misc]taylor: Taking taylor expansion of n in k 1537439698.269 * [misc]backup-simplify: Simplify n into n 1537439698.269 * [misc]backup-simplify: Simplify (log n) into (log n) 1537439698.269 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1537439698.269 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1537439698.269 * [misc]taylor: Taking taylor expansion of 2 in k 1537439698.269 * [misc]backup-simplify: Simplify 2 into 2 1537439698.269 * [misc]taylor: Taking taylor expansion of PI in k 1537439698.269 * [misc]backup-simplify: Simplify PI into PI 1537439698.269 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537439698.270 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537439698.270 * [misc]taylor: Taking taylor expansion of k in k 1537439698.270 * [misc]backup-simplify: Simplify 0 into 0 1537439698.270 * [misc]backup-simplify: Simplify 1 into 1 1537439698.270 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537439698.270 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) 0) into 0 1537439698.271 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1537439698.271 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1537439698.272 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537439698.273 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537439698.274 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537439698.274 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 1) (* 0 0)) into (+ (log n) (log (* 2 PI))) 1537439698.275 * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (log n) (log (* 2 PI)))) (* 0 0)) into (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1537439698.275 * [misc]backup-simplify: Simplify (exp 0) into 1 1537439698.275 * [misc]taylor: Taking taylor expansion of (pow k 2) in k 1537439698.275 * [misc]taylor: Taking taylor expansion of k in k 1537439698.275 * [misc]backup-simplify: Simplify 0 into 0 1537439698.275 * [misc]backup-simplify: Simplify 1 into 1 1537439698.275 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1537439698.275 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2)) 1537439698.276 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537439698.276 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537439698.276 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) (pow PI 2)) 1) into (* (sqrt 2) (pow PI 2)) 1537439698.277 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 1537439698.278 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 2))) into 0 1537439698.278 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1537439698.279 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1) 1)))) into (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1537439698.279 * [misc]backup-simplify: Simplify (+ (* 1 0) (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1)) into (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))) 1537439698.281 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sqrt 2) (pow PI 2)) (/ (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))) 1)))) into (- (+ (* 1/2 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (* 1/2 (* (sqrt 2) (* (pow PI 2) (log n)))))) 1537439698.285 * [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))))))) 1537439698.288 * [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))))))) 1537439698.292 * [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))))))) 1537439698.292 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 PI)) into 0 1537439698.293 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1537439698.294 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1537439698.298 * [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 1537439698.298 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537439698.299 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (+ (* 0 1) (* 0 0))) into 0 1537439698.299 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 (+ (log n) (log (* 2 PI)))) (* 0 0))) into 0 1537439698.302 * [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)))) 1537439698.305 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1) (* (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))) 0))) into (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))) 1537439698.306 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sqrt 2) PI) (/ (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))) 1)))) into (- (+ (* 1/2 (* (sqrt 2) (* PI (log n)))) (* 1/2 (* (sqrt 2) (* PI (log (* 2 PI))))))) 1537439698.308 * [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)))))))) 1537439698.310 * [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)))))))) 1537439698.311 * [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)))))))) 1537439698.318 * [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)))))))))))))) 1537439698.318 * [misc]backup-simplify: Simplify (/ (/ (pow (* PI (* (/ 1 n) 2)) 1/2) (pow (* PI (* (/ 1 n) 2)) (/ (/ 1 k) 2))) (sqrt (/ 1 k))) into (* (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) (sqrt (/ (* PI k) n))) 1537439698.318 * [misc]approximate: Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) (sqrt (/ (* PI k) n))) in (n k) around 0 1537439698.319 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) (sqrt (/ (* PI k) n))) in k 1537439698.319 * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) in k 1537439698.319 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537439698.319 * [misc]taylor: Taking taylor expansion of 2 in k 1537439698.319 * [misc]backup-simplify: Simplify 2 into 2 1537439698.319 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537439698.319 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537439698.319 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in k 1537439698.319 * [misc]taylor: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in k 1537439698.319 * [misc]taylor: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in k 1537439698.319 * [misc]taylor: Taking taylor expansion of (/ 1/2 k) in k 1537439698.319 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537439698.319 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439698.319 * [misc]taylor: Taking taylor expansion of k in k 1537439698.319 * [misc]backup-simplify: Simplify 0 into 0 1537439698.319 * [misc]backup-simplify: Simplify 1 into 1 1537439698.319 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 1537439698.319 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1537439698.319 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1537439698.319 * [misc]taylor: Taking taylor expansion of 2 in k 1537439698.319 * [misc]backup-simplify: Simplify 2 into 2 1537439698.319 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1537439698.319 * [misc]taylor: Taking taylor expansion of PI in k 1537439698.319 * [misc]backup-simplify: Simplify PI into PI 1537439698.319 * [misc]taylor: Taking taylor expansion of n in k 1537439698.319 * [misc]backup-simplify: Simplify n into n 1537439698.319 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537439698.319 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1537439698.320 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1537439698.320 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (/ PI n)))) into (* 1/2 (log (* 2 (/ PI n)))) 1537439698.320 * [misc]backup-simplify: Simplify (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) into (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 1537439698.320 * [misc]backup-simplify: Simplify (/ (sqrt 2) (exp (* 1/2 (/ (log (* 2 (/ PI n))) k)))) into (/ (sqrt 2) (exp (* 1/2 (/ (log (* 2 (/ PI n))) k)))) 1537439698.320 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* PI k) n)) in k 1537439698.320 * [misc]taylor: Taking taylor expansion of (/ (* PI k) n) in k 1537439698.320 * [misc]taylor: Taking taylor expansion of (* PI k) in k 1537439698.320 * [misc]taylor: Taking taylor expansion of PI in k 1537439698.320 * [misc]backup-simplify: Simplify PI into PI 1537439698.320 * [misc]taylor: Taking taylor expansion of k in k 1537439698.320 * [misc]backup-simplify: Simplify 0 into 0 1537439698.320 * [misc]backup-simplify: Simplify 1 into 1 1537439698.320 * [misc]taylor: Taking taylor expansion of n in k 1537439698.320 * [misc]backup-simplify: Simplify n into n 1537439698.320 * [misc]backup-simplify: Simplify (* PI 0) into 0 1537439698.321 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1537439698.321 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537439698.321 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537439698.321 * [misc]backup-simplify: Simplify (/ (/ PI n) (* 2 (sqrt 0))) into (* +nan.0 (/ PI n)) 1537439698.321 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) (sqrt (/ (* PI k) n))) in n 1537439698.321 * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) in n 1537439698.321 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537439698.321 * [misc]taylor: Taking taylor expansion of 2 in n 1537439698.321 * [misc]backup-simplify: Simplify 2 into 2 1537439698.321 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537439698.322 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537439698.322 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in n 1537439698.322 * [misc]taylor: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in n 1537439698.322 * [misc]taylor: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in n 1537439698.322 * [misc]taylor: Taking taylor expansion of (/ 1/2 k) in n 1537439698.322 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537439698.322 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439698.322 * [misc]taylor: Taking taylor expansion of k in n 1537439698.322 * [misc]backup-simplify: Simplify k into k 1537439698.322 * [misc]backup-simplify: Simplify (/ 1/2 k) into (/ 1/2 k) 1537439698.322 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1537439698.322 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537439698.322 * [misc]taylor: Taking taylor expansion of 2 in n 1537439698.322 * [misc]backup-simplify: Simplify 2 into 2 1537439698.322 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537439698.322 * [misc]taylor: Taking taylor expansion of PI in n 1537439698.322 * [misc]backup-simplify: Simplify PI into PI 1537439698.322 * [misc]taylor: Taking taylor expansion of n in n 1537439698.322 * [misc]backup-simplify: Simplify 0 into 0 1537439698.322 * [misc]backup-simplify: Simplify 1 into 1 1537439698.322 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537439698.322 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537439698.323 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537439698.323 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537439698.324 * [misc]backup-simplify: Simplify (* (/ 1/2 k) (- (log (* 2 PI)) (log n))) into (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1537439698.324 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537439698.325 * [misc]backup-simplify: Simplify (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) 1537439698.325 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* PI k) n)) in n 1537439698.325 * [misc]taylor: Taking taylor expansion of (/ (* PI k) n) in n 1537439698.325 * [misc]taylor: Taking taylor expansion of (* PI k) in n 1537439698.325 * [misc]taylor: Taking taylor expansion of PI in n 1537439698.325 * [misc]backup-simplify: Simplify PI into PI 1537439698.325 * [misc]taylor: Taking taylor expansion of k in n 1537439698.325 * [misc]backup-simplify: Simplify k into k 1537439698.325 * [misc]taylor: Taking taylor expansion of n in n 1537439698.325 * [misc]backup-simplify: Simplify 0 into 0 1537439698.325 * [misc]backup-simplify: Simplify 1 into 1 1537439698.325 * [misc]backup-simplify: Simplify (* PI k) into (* PI k) 1537439698.325 * [misc]backup-simplify: Simplify (/ (* PI k) 1) into (* PI k) 1537439698.325 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537439698.325 * [misc]backup-simplify: Simplify (/ (* PI k) (* 2 (sqrt 0))) into (* +nan.0 (* PI k)) 1537439698.325 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) (sqrt (/ (* PI k) n))) in n 1537439698.325 * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) in n 1537439698.325 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537439698.325 * [misc]taylor: Taking taylor expansion of 2 in n 1537439698.325 * [misc]backup-simplify: Simplify 2 into 2 1537439698.325 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537439698.326 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537439698.326 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in n 1537439698.326 * [misc]taylor: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in n 1537439698.326 * [misc]taylor: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in n 1537439698.326 * [misc]taylor: Taking taylor expansion of (/ 1/2 k) in n 1537439698.326 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537439698.326 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439698.326 * [misc]taylor: Taking taylor expansion of k in n 1537439698.326 * [misc]backup-simplify: Simplify k into k 1537439698.326 * [misc]backup-simplify: Simplify (/ 1/2 k) into (/ 1/2 k) 1537439698.326 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1537439698.326 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537439698.326 * [misc]taylor: Taking taylor expansion of 2 in n 1537439698.326 * [misc]backup-simplify: Simplify 2 into 2 1537439698.326 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537439698.326 * [misc]taylor: Taking taylor expansion of PI in n 1537439698.326 * [misc]backup-simplify: Simplify PI into PI 1537439698.326 * [misc]taylor: Taking taylor expansion of n in n 1537439698.326 * [misc]backup-simplify: Simplify 0 into 0 1537439698.326 * [misc]backup-simplify: Simplify 1 into 1 1537439698.326 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537439698.326 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537439698.327 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537439698.327 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537439698.327 * [misc]backup-simplify: Simplify (* (/ 1/2 k) (- (log (* 2 PI)) (log n))) into (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1537439698.328 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537439698.328 * [misc]backup-simplify: Simplify (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) 1537439698.329 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* PI k) n)) in n 1537439698.329 * [misc]taylor: Taking taylor expansion of (/ (* PI k) n) in n 1537439698.329 * [misc]taylor: Taking taylor expansion of (* PI k) in n 1537439698.329 * [misc]taylor: Taking taylor expansion of PI in n 1537439698.329 * [misc]backup-simplify: Simplify PI into PI 1537439698.329 * [misc]taylor: Taking taylor expansion of k in n 1537439698.329 * [misc]backup-simplify: Simplify k into k 1537439698.329 * [misc]taylor: Taking taylor expansion of n in n 1537439698.329 * [misc]backup-simplify: Simplify 0 into 0 1537439698.329 * [misc]backup-simplify: Simplify 1 into 1 1537439698.329 * [misc]backup-simplify: Simplify (* PI k) into (* PI k) 1537439698.329 * [misc]backup-simplify: Simplify (/ (* PI k) 1) into (* PI k) 1537439698.329 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537439698.329 * [misc]backup-simplify: Simplify (/ (* PI k) (* 2 (sqrt 0))) into (* +nan.0 (* PI k)) 1537439698.330 * [misc]backup-simplify: Simplify (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) 0) into 0 1537439698.330 * [misc]taylor: Taking taylor expansion of 0 in k 1537439698.330 * [misc]backup-simplify: Simplify 0 into 0 1537439698.330 * [misc]backup-simplify: Simplify 0 into 0 1537439698.331 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537439698.331 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537439698.333 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537439698.333 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ 1/2 k) (/ 0 k)))) into 0 1537439698.334 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537439698.334 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1537439698.335 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1537439698.337 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1537439698.337 * [misc]backup-simplify: Simplify (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (* +nan.0 (* PI k))) (* 0 0)) into (- (* +nan.0 (/ (* (sqrt 2) (* PI k)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) 1537439698.337 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (* PI k)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) in k 1537439698.337 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (* PI k)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) in k 1537439698.337 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1537439698.337 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537439698.337 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt 2) (* PI k)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 1537439698.337 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* PI k)) in k 1537439698.337 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537439698.337 * [misc]taylor: Taking taylor expansion of 2 in k 1537439698.338 * [misc]backup-simplify: Simplify 2 into 2 1537439698.338 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537439698.338 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537439698.338 * [misc]taylor: Taking taylor expansion of (* PI k) in k 1537439698.338 * [misc]taylor: Taking taylor expansion of PI in k 1537439698.338 * [misc]backup-simplify: Simplify PI into PI 1537439698.338 * [misc]taylor: Taking taylor expansion of k in k 1537439698.338 * [misc]backup-simplify: Simplify 0 into 0 1537439698.338 * [misc]backup-simplify: Simplify 1 into 1 1537439698.338 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1537439698.338 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1537439698.338 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537439698.338 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439698.338 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1537439698.338 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1537439698.338 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1537439698.338 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1537439698.338 * [misc]taylor: Taking taylor expansion of 2 in k 1537439698.338 * [misc]backup-simplify: Simplify 2 into 2 1537439698.338 * [misc]taylor: Taking taylor expansion of PI in k 1537439698.338 * [misc]backup-simplify: Simplify PI into PI 1537439698.338 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537439698.339 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537439698.339 * [misc]taylor: Taking taylor expansion of (log n) in k 1537439698.339 * [misc]taylor: Taking taylor expansion of n in k 1537439698.339 * [misc]backup-simplify: Simplify n into n 1537439698.339 * [misc]backup-simplify: Simplify (log n) into (log n) 1537439698.339 * [misc]taylor: Taking taylor expansion of k in k 1537439698.339 * [misc]backup-simplify: Simplify 0 into 0 1537439698.339 * [misc]backup-simplify: Simplify 1 into 1 1537439698.339 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1537439698.339 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1537439698.340 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1537439698.340 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n))) 1537439698.341 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537439698.341 * [misc]backup-simplify: Simplify (* PI 0) into 0 1537439698.341 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1537439698.341 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1537439698.342 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) PI) (* 0 0)) into (* (sqrt 2) PI) 1537439698.343 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) 1537439698.343 * [misc]backup-simplify: Simplify 0 into 0 1537439698.343 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 k)) into 0 1537439698.343 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)))) into 0 1537439698.344 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (* PI k)) 2) (+)) (* 2 0)) into (* +nan.0 (* (pow PI 2) (pow k 2))) 1537439698.345 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1537439698.346 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439698.346 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1537439698.350 * [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 1537439698.350 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ 1/2 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537439698.350 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537439698.351 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1537439698.353 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1537439698.355 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1537439698.356 * [misc]backup-simplify: Simplify (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0))) into (- (* +nan.0 (/ (* (sqrt 2) (* (pow PI 2) (pow k 2))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) 1537439698.356 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (* (pow PI 2) (pow k 2))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) in k 1537439698.356 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (* (pow PI 2) (pow k 2))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) in k 1537439698.356 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1537439698.356 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537439698.356 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt 2) (* (pow PI 2) (pow k 2))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 1537439698.356 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 2) (pow k 2))) in k 1537439698.357 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537439698.357 * [misc]taylor: Taking taylor expansion of 2 in k 1537439698.357 * [misc]backup-simplify: Simplify 2 into 2 1537439698.357 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537439698.357 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537439698.357 * [misc]taylor: Taking taylor expansion of (* (pow PI 2) (pow k 2)) in k 1537439698.357 * [misc]taylor: Taking taylor expansion of (pow PI 2) in k 1537439698.357 * [misc]taylor: Taking taylor expansion of PI in k 1537439698.357 * [misc]backup-simplify: Simplify PI into PI 1537439698.357 * [misc]taylor: Taking taylor expansion of (pow k 2) in k 1537439698.357 * [misc]taylor: Taking taylor expansion of k in k 1537439698.357 * [misc]backup-simplify: Simplify 0 into 0 1537439698.357 * [misc]backup-simplify: Simplify 1 into 1 1537439698.357 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1537439698.357 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1537439698.357 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537439698.357 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439698.357 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1537439698.357 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1537439698.357 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1537439698.357 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1537439698.357 * [misc]taylor: Taking taylor expansion of 2 in k 1537439698.357 * [misc]backup-simplify: Simplify 2 into 2 1537439698.357 * [misc]taylor: Taking taylor expansion of PI in k 1537439698.357 * [misc]backup-simplify: Simplify PI into PI 1537439698.357 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537439698.358 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537439698.358 * [misc]taylor: Taking taylor expansion of (log n) in k 1537439698.358 * [misc]taylor: Taking taylor expansion of n in k 1537439698.358 * [misc]backup-simplify: Simplify n into n 1537439698.358 * [misc]backup-simplify: Simplify (log n) into (log n) 1537439698.358 * [misc]taylor: Taking taylor expansion of k in k 1537439698.358 * [misc]backup-simplify: Simplify 0 into 0 1537439698.358 * [misc]backup-simplify: Simplify 1 into 1 1537439698.358 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1537439698.358 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1537439698.359 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1537439698.359 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n))) 1537439698.359 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537439698.360 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1537439698.360 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537439698.360 * [misc]backup-simplify: Simplify (* (pow PI 2) 1) into (pow PI 2) 1537439698.361 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2)) 1537439698.362 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) 1537439698.363 * [misc]backup-simplify: Simplify (* +nan.0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) into (* +nan.0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) 1537439698.363 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) 1537439698.364 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) 1537439698.364 * [misc]backup-simplify: Simplify 0 into 0 1537439698.365 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 k))) into 0 1537439698.365 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439698.366 * [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))) 1537439698.366 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537439698.367 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439698.368 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537439698.374 * [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 1537439698.374 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ 1/2 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537439698.375 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537439698.375 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1537439698.378 * [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 1537439698.381 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1537439698.384 * [misc]backup-simplify: Simplify (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (* +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 (/ (* (sqrt 2) (* (pow PI 3) (pow k 3))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) 1537439698.384 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (* (pow PI 3) (pow k 3))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) in k 1537439698.384 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (* (pow PI 3) (pow k 3))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) in k 1537439698.384 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1537439698.384 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537439698.384 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt 2) (* (pow PI 3) (pow k 3))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 1537439698.384 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 3) (pow k 3))) in k 1537439698.384 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537439698.384 * [misc]taylor: Taking taylor expansion of 2 in k 1537439698.385 * [misc]backup-simplify: Simplify 2 into 2 1537439698.385 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537439698.385 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537439698.385 * [misc]taylor: Taking taylor expansion of (* (pow PI 3) (pow k 3)) in k 1537439698.385 * [misc]taylor: Taking taylor expansion of (pow PI 3) in k 1537439698.385 * [misc]taylor: Taking taylor expansion of PI in k 1537439698.385 * [misc]backup-simplify: Simplify PI into PI 1537439698.385 * [misc]taylor: Taking taylor expansion of (pow k 3) in k 1537439698.385 * [misc]taylor: Taking taylor expansion of k in k 1537439698.385 * [misc]backup-simplify: Simplify 0 into 0 1537439698.385 * [misc]backup-simplify: Simplify 1 into 1 1537439698.385 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1537439698.385 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1537439698.385 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537439698.385 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439698.385 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1537439698.385 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1537439698.385 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1537439698.385 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1537439698.385 * [misc]taylor: Taking taylor expansion of 2 in k 1537439698.386 * [misc]backup-simplify: Simplify 2 into 2 1537439698.386 * [misc]taylor: Taking taylor expansion of PI in k 1537439698.386 * [misc]backup-simplify: Simplify PI into PI 1537439698.386 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537439698.386 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537439698.386 * [misc]taylor: Taking taylor expansion of (log n) in k 1537439698.387 * [misc]taylor: Taking taylor expansion of n in k 1537439698.387 * [misc]backup-simplify: Simplify n into n 1537439698.387 * [misc]backup-simplify: Simplify (log n) into (log n) 1537439698.387 * [misc]taylor: Taking taylor expansion of k in k 1537439698.387 * [misc]backup-simplify: Simplify 0 into 0 1537439698.387 * [misc]backup-simplify: Simplify 1 into 1 1537439698.387 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1537439698.387 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1537439698.388 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1537439698.389 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n))) 1537439698.389 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537439698.390 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1537439698.390 * [misc]backup-simplify: Simplify (* PI (pow PI 2)) into (pow PI 3) 1537439698.391 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537439698.391 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537439698.391 * [misc]backup-simplify: Simplify (* (pow PI 3) 1) into (pow PI 3) 1537439698.392 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 3)) into (* (sqrt 2) (pow PI 3)) 1537439698.394 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) 1537439698.395 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 1537439698.396 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1537439698.397 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 PI) (* 0 0))) into 0 1537439698.400 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1537439698.402 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into 0 1537439698.402 * [misc]backup-simplify: Simplify (- 0) into 0 1537439698.402 * [misc]backup-simplify: Simplify 0 into 0 1537439698.402 * [misc]backup-simplify: Simplify 0 into 0 1537439698.403 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1537439698.403 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439698.407 * [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))) 1537439698.409 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537439698.411 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439698.414 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537439698.430 * [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 1537439698.430 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ 1/2 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537439698.431 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537439698.432 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))))) into 0 1537439698.438 * [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 1537439698.443 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1537439698.447 * [misc]backup-simplify: Simplify (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (* +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 (/ (* (sqrt 2) (* (pow PI 4) (pow k 4))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) 1537439698.447 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (* (pow PI 4) (pow k 4))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) in k 1537439698.447 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (* (pow PI 4) (pow k 4))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) in k 1537439698.447 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1537439698.447 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537439698.447 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt 2) (* (pow PI 4) (pow k 4))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 1537439698.447 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 4) (pow k 4))) in k 1537439698.447 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537439698.447 * [misc]taylor: Taking taylor expansion of 2 in k 1537439698.447 * [misc]backup-simplify: Simplify 2 into 2 1537439698.447 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537439698.448 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537439698.448 * [misc]taylor: Taking taylor expansion of (* (pow PI 4) (pow k 4)) in k 1537439698.448 * [misc]taylor: Taking taylor expansion of (pow PI 4) in k 1537439698.448 * [misc]taylor: Taking taylor expansion of PI in k 1537439698.448 * [misc]backup-simplify: Simplify PI into PI 1537439698.448 * [misc]taylor: Taking taylor expansion of (pow k 4) in k 1537439698.448 * [misc]taylor: Taking taylor expansion of k in k 1537439698.448 * [misc]backup-simplify: Simplify 0 into 0 1537439698.448 * [misc]backup-simplify: Simplify 1 into 1 1537439698.448 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1537439698.448 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1537439698.448 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537439698.448 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439698.448 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1537439698.448 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1537439698.448 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1537439698.448 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1537439698.448 * [misc]taylor: Taking taylor expansion of 2 in k 1537439698.448 * [misc]backup-simplify: Simplify 2 into 2 1537439698.448 * [misc]taylor: Taking taylor expansion of PI in k 1537439698.448 * [misc]backup-simplify: Simplify PI into PI 1537439698.449 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537439698.449 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537439698.449 * [misc]taylor: Taking taylor expansion of (log n) in k 1537439698.449 * [misc]taylor: Taking taylor expansion of n in k 1537439698.449 * [misc]backup-simplify: Simplify n into n 1537439698.449 * [misc]backup-simplify: Simplify (log n) into (log n) 1537439698.449 * [misc]taylor: Taking taylor expansion of k in k 1537439698.449 * [misc]backup-simplify: Simplify 0 into 0 1537439698.449 * [misc]backup-simplify: Simplify 1 into 1 1537439698.449 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1537439698.450 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1537439698.451 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1537439698.451 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n))) 1537439698.452 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537439698.452 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1537439698.453 * [misc]backup-simplify: Simplify (* (pow PI 2) (pow PI 2)) into (pow PI 4) 1537439698.453 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537439698.454 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537439698.454 * [misc]backup-simplify: Simplify (* (pow PI 4) 1) into (pow PI 4) 1537439698.455 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 4)) into (* (sqrt 2) (pow PI 4)) 1537439698.457 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) (pow PI 4)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (* (sqrt 2) (pow PI 4)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) 1537439698.459 * [misc]backup-simplify: Simplify (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) into (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) 1537439698.460 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) 1537439698.462 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) 1537439698.462 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1537439698.463 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537439698.464 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1537439698.466 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1537439698.467 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1537439698.467 * [misc]backup-simplify: Simplify (- 0) into 0 1537439698.467 * [misc]backup-simplify: Simplify 0 into 0 1537439698.467 * [misc]backup-simplify: Simplify 0 into 0 1537439698.467 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 k))))) into 0 1537439698.468 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439698.470 * [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))) 1537439698.470 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537439698.472 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439698.474 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537439698.488 * [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 1537439698.489 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ 1/2 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537439698.489 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537439698.491 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))))) into 0 1537439698.500 * [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 1537439698.506 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1537439698.511 * [misc]backup-simplify: Simplify (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (* +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 (/ (* (sqrt 2) (* (pow PI 5) (pow k 5))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) 1537439698.511 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (* (pow PI 5) (pow k 5))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) in k 1537439698.511 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (* (pow PI 5) (pow k 5))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) in k 1537439698.511 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1537439698.511 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537439698.511 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt 2) (* (pow PI 5) (pow k 5))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 1537439698.511 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 5) (pow k 5))) in k 1537439698.511 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537439698.511 * [misc]taylor: Taking taylor expansion of 2 in k 1537439698.511 * [misc]backup-simplify: Simplify 2 into 2 1537439698.511 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537439698.512 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537439698.512 * [misc]taylor: Taking taylor expansion of (* (pow PI 5) (pow k 5)) in k 1537439698.512 * [misc]taylor: Taking taylor expansion of (pow PI 5) in k 1537439698.512 * [misc]taylor: Taking taylor expansion of PI in k 1537439698.512 * [misc]backup-simplify: Simplify PI into PI 1537439698.512 * [misc]taylor: Taking taylor expansion of (pow k 5) in k 1537439698.512 * [misc]taylor: Taking taylor expansion of k in k 1537439698.512 * [misc]backup-simplify: Simplify 0 into 0 1537439698.512 * [misc]backup-simplify: Simplify 1 into 1 1537439698.512 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1537439698.512 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1537439698.512 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537439698.512 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439698.512 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1537439698.512 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1537439698.512 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1537439698.512 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1537439698.512 * [misc]taylor: Taking taylor expansion of 2 in k 1537439698.512 * [misc]backup-simplify: Simplify 2 into 2 1537439698.512 * [misc]taylor: Taking taylor expansion of PI in k 1537439698.512 * [misc]backup-simplify: Simplify PI into PI 1537439698.513 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537439698.513 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537439698.513 * [misc]taylor: Taking taylor expansion of (log n) in k 1537439698.513 * [misc]taylor: Taking taylor expansion of n in k 1537439698.514 * [misc]backup-simplify: Simplify n into n 1537439698.514 * [misc]backup-simplify: Simplify (log n) into (log n) 1537439698.514 * [misc]taylor: Taking taylor expansion of k in k 1537439698.514 * [misc]backup-simplify: Simplify 0 into 0 1537439698.514 * [misc]backup-simplify: Simplify 1 into 1 1537439698.514 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1537439698.517 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1537439698.517 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1537439698.518 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n))) 1537439698.519 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537439698.519 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1537439698.520 * [misc]backup-simplify: Simplify (* (pow PI 2) (pow PI 2)) into (pow PI 4) 1537439698.521 * [misc]backup-simplify: Simplify (* PI (pow PI 4)) into (pow PI 5) 1537439698.521 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537439698.521 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537439698.521 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537439698.522 * [misc]backup-simplify: Simplify (* (pow PI 5) 1) into (pow PI 5) 1537439698.523 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 5)) into (* (sqrt 2) (pow PI 5)) 1537439698.524 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) (pow PI 5)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (* (sqrt 2) (pow PI 5)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) 1537439698.525 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1537439698.525 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 1537439698.527 * [misc]backup-simplify: Simplify (+ (* (pow PI 2) 0) (* 0 1)) into 0 1537439698.528 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 2))) into 0 1537439698.531 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1537439698.533 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into 0 1537439698.533 * [misc]backup-simplify: Simplify (- 0) into 0 1537439698.533 * [misc]backup-simplify: Simplify 0 into 0 1537439698.534 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1537439698.536 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537439698.538 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1537439698.542 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1537439698.544 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))))) into 0 1537439698.544 * [misc]backup-simplify: Simplify (- 0) into 0 1537439698.544 * [misc]backup-simplify: Simplify 0 into 0 1537439698.545 * [misc]backup-simplify: Simplify 0 into 0 1537439698.545 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))))) into 0 1537439698.547 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439698.551 * [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))) 1537439698.552 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537439698.554 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439698.556 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537439698.579 * [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 1537439698.579 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ 1/2 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537439698.579 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537439698.580 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))))))) into 0 1537439698.589 * [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 1537439698.593 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1537439698.596 * [misc]backup-simplify: Simplify (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (* +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 (/ (* (sqrt 2) (* (pow PI 6) (pow k 6))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) 1537439698.596 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (* (pow PI 6) (pow k 6))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) in k 1537439698.596 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (* (pow PI 6) (pow k 6))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) in k 1537439698.596 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1537439698.596 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537439698.596 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt 2) (* (pow PI 6) (pow k 6))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 1537439698.596 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 6) (pow k 6))) in k 1537439698.596 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537439698.596 * [misc]taylor: Taking taylor expansion of 2 in k 1537439698.596 * [misc]backup-simplify: Simplify 2 into 2 1537439698.596 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537439698.596 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537439698.596 * [misc]taylor: Taking taylor expansion of (* (pow PI 6) (pow k 6)) in k 1537439698.596 * [misc]taylor: Taking taylor expansion of (pow PI 6) in k 1537439698.596 * [misc]taylor: Taking taylor expansion of PI in k 1537439698.596 * [misc]backup-simplify: Simplify PI into PI 1537439698.596 * [misc]taylor: Taking taylor expansion of (pow k 6) in k 1537439698.596 * [misc]taylor: Taking taylor expansion of k in k 1537439698.596 * [misc]backup-simplify: Simplify 0 into 0 1537439698.596 * [misc]backup-simplify: Simplify 1 into 1 1537439698.596 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1537439698.596 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1537439698.597 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537439698.597 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439698.597 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1537439698.597 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1537439698.597 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1537439698.597 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1537439698.597 * [misc]taylor: Taking taylor expansion of 2 in k 1537439698.597 * [misc]backup-simplify: Simplify 2 into 2 1537439698.597 * [misc]taylor: Taking taylor expansion of PI in k 1537439698.597 * [misc]backup-simplify: Simplify PI into PI 1537439698.597 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537439698.597 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537439698.597 * [misc]taylor: Taking taylor expansion of (log n) in k 1537439698.597 * [misc]taylor: Taking taylor expansion of n in k 1537439698.597 * [misc]backup-simplify: Simplify n into n 1537439698.597 * [misc]backup-simplify: Simplify (log n) into (log n) 1537439698.597 * [misc]taylor: Taking taylor expansion of k in k 1537439698.597 * [misc]backup-simplify: Simplify 0 into 0 1537439698.597 * [misc]backup-simplify: Simplify 1 into 1 1537439698.597 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1537439698.598 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1537439698.598 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1537439698.599 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n))) 1537439698.599 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537439698.599 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1537439698.600 * [misc]backup-simplify: Simplify (* PI (pow PI 2)) into (pow PI 3) 1537439698.600 * [misc]backup-simplify: Simplify (* (pow PI 3) (pow PI 3)) into (pow PI 6) 1537439698.600 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537439698.600 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537439698.601 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537439698.601 * [misc]backup-simplify: Simplify (* (pow PI 6) 1) into (pow PI 6) 1537439698.602 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 6)) into (* (sqrt 2) (pow PI 6)) 1537439698.603 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) (pow PI 6)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (* (sqrt 2) (pow PI 6)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) 1537439698.604 * [misc]backup-simplify: Simplify (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) into (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) 1537439698.605 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) 1537439698.606 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) 1537439698.611 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k))))))) (* (pow (/ 1 k) 3) (pow (/ 1 n) 2))) (+ (* (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k))))))) (* (pow (/ 1 k) 2) (/ 1 n))) (* (- (* +nan.0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (pow n 2) (pow k 3))))) (- (+ (* +nan.0 (/ (* (sqrt 2) PI) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) k))) (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* n (pow k 2)))))))))) 1537439698.612 * [misc]backup-simplify: Simplify (/ (/ (pow (* PI (* (/ 1 (- n)) 2)) 1/2) (pow (* PI (* (/ 1 (- n)) 2)) (/ (/ 1 (- k)) 2))) (sqrt (/ 1 (- k)))) into (/ (sqrt (/ (* PI -2) n)) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) 1537439698.612 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ (* PI -2) n)) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) in (n k) around 0 1537439698.612 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ (* PI -2) n)) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) in k 1537439698.612 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* PI -2) n)) in k 1537439698.612 * [misc]taylor: Taking taylor expansion of (/ (* PI -2) n) in k 1537439698.613 * [misc]taylor: Taking taylor expansion of (* PI -2) in k 1537439698.613 * [misc]taylor: Taking taylor expansion of PI in k 1537439698.613 * [misc]backup-simplify: Simplify PI into PI 1537439698.613 * [misc]taylor: Taking taylor expansion of -2 in k 1537439698.613 * [misc]backup-simplify: Simplify -2 into -2 1537439698.613 * [misc]taylor: Taking taylor expansion of n in k 1537439698.613 * [misc]backup-simplify: Simplify n into n 1537439698.613 * [misc]backup-simplify: Simplify (* PI -2) into (* -2 PI) 1537439698.613 * [misc]backup-simplify: Simplify (/ (* -2 PI) n) into (* -2 (/ PI n)) 1537439698.614 * [misc]backup-simplify: Simplify (sqrt (* -2 (/ PI n))) into (sqrt (* -2 (/ PI n))) 1537439698.614 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 -2)) into 0 1537439698.615 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (* -2 (/ PI n)) (/ 0 n)))) into 0 1537439698.615 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* -2 (/ PI n))))) into 0 1537439698.615 * [misc]taylor: Taking taylor expansion of (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k))) in k 1537439698.615 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in k 1537439698.615 * [misc]taylor: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in k 1537439698.615 * [misc]taylor: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in k 1537439698.615 * [misc]taylor: Taking taylor expansion of (/ -1/2 k) in k 1537439698.615 * [misc]taylor: Taking taylor expansion of -1/2 in k 1537439698.615 * [misc]backup-simplify: Simplify -1/2 into -1/2 1537439698.615 * [misc]taylor: Taking taylor expansion of k in k 1537439698.615 * [misc]backup-simplify: Simplify 0 into 0 1537439698.615 * [misc]backup-simplify: Simplify 1 into 1 1537439698.615 * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 1537439698.615 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1537439698.615 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1537439698.615 * [misc]taylor: Taking taylor expansion of -2 in k 1537439698.615 * [misc]backup-simplify: Simplify -2 into -2 1537439698.615 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1537439698.615 * [misc]taylor: Taking taylor expansion of PI in k 1537439698.616 * [misc]backup-simplify: Simplify PI into PI 1537439698.616 * [misc]taylor: Taking taylor expansion of n in k 1537439698.616 * [misc]backup-simplify: Simplify n into n 1537439698.616 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537439698.616 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1537439698.616 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1537439698.616 * [misc]backup-simplify: Simplify (* -1/2 (log (* -2 (/ PI n)))) into (* -1/2 (log (* -2 (/ PI n)))) 1537439698.616 * [misc]backup-simplify: Simplify (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) into (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) 1537439698.616 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1537439698.616 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1537439698.617 * [misc]taylor: Taking taylor expansion of -1 in k 1537439698.617 * [misc]backup-simplify: Simplify -1 into -1 1537439698.617 * [misc]taylor: Taking taylor expansion of k in k 1537439698.617 * [misc]backup-simplify: Simplify 0 into 0 1537439698.617 * [misc]backup-simplify: Simplify 1 into 1 1537439698.617 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1537439698.617 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537439698.617 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1537439698.618 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) 0) into 0 1537439698.618 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))))) 1537439698.619 * [misc]backup-simplify: Simplify (/ (sqrt (* -2 (/ PI n))) (- (* +nan.0 (exp (* -1/2 (/ (log (* -2 (/ PI n))) k)))))) into (* +nan.0 (/ (sqrt (* -2 (/ PI n))) (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))))) 1537439698.619 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ (* PI -2) n)) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) in n 1537439698.619 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* PI -2) n)) in n 1537439698.619 * [misc]taylor: Taking taylor expansion of (/ (* PI -2) n) in n 1537439698.619 * [misc]taylor: Taking taylor expansion of (* PI -2) in n 1537439698.619 * [misc]taylor: Taking taylor expansion of PI in n 1537439698.619 * [misc]backup-simplify: Simplify PI into PI 1537439698.619 * [misc]taylor: Taking taylor expansion of -2 in n 1537439698.619 * [misc]backup-simplify: Simplify -2 into -2 1537439698.619 * [misc]taylor: Taking taylor expansion of n in n 1537439698.619 * [misc]backup-simplify: Simplify 0 into 0 1537439698.619 * [misc]backup-simplify: Simplify 1 into 1 1537439698.620 * [misc]backup-simplify: Simplify (* PI -2) into (* -2 PI) 1537439698.621 * [misc]backup-simplify: Simplify (/ (* -2 PI) 1) into (* -2 PI) 1537439698.621 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537439698.622 * [misc]backup-simplify: Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1537439698.622 * [misc]taylor: Taking taylor expansion of (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k))) in n 1537439698.622 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in n 1537439698.622 * [misc]taylor: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in n 1537439698.622 * [misc]taylor: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in n 1537439698.622 * [misc]taylor: Taking taylor expansion of (/ -1/2 k) in n 1537439698.622 * [misc]taylor: Taking taylor expansion of -1/2 in n 1537439698.622 * [misc]backup-simplify: Simplify -1/2 into -1/2 1537439698.622 * [misc]taylor: Taking taylor expansion of k in n 1537439698.622 * [misc]backup-simplify: Simplify k into k 1537439698.622 * [misc]backup-simplify: Simplify (/ -1/2 k) into (/ -1/2 k) 1537439698.622 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1537439698.622 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537439698.622 * [misc]taylor: Taking taylor expansion of -2 in n 1537439698.622 * [misc]backup-simplify: Simplify -2 into -2 1537439698.622 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537439698.622 * [misc]taylor: Taking taylor expansion of PI in n 1537439698.622 * [misc]backup-simplify: Simplify PI into PI 1537439698.622 * [misc]taylor: Taking taylor expansion of n in n 1537439698.622 * [misc]backup-simplify: Simplify 0 into 0 1537439698.622 * [misc]backup-simplify: Simplify 1 into 1 1537439698.623 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537439698.625 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537439698.625 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537439698.626 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537439698.627 * [misc]backup-simplify: Simplify (* (/ -1/2 k) (- (log (* -2 PI)) (log n))) into (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) 1537439698.627 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1537439698.628 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1537439698.628 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1537439698.628 * [misc]taylor: Taking taylor expansion of -1 in n 1537439698.628 * [misc]backup-simplify: Simplify -1 into -1 1537439698.628 * [misc]taylor: Taking taylor expansion of k in n 1537439698.628 * [misc]backup-simplify: Simplify k into k 1537439698.628 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1537439698.628 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1537439698.628 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1537439698.628 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1537439698.629 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))) into (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) 1537439698.630 * [misc]backup-simplify: Simplify (/ (* +nan.0 PI) (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into (* +nan.0 (/ PI (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))))) 1537439698.630 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ (* PI -2) n)) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) in n 1537439698.630 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* PI -2) n)) in n 1537439698.630 * [misc]taylor: Taking taylor expansion of (/ (* PI -2) n) in n 1537439698.630 * [misc]taylor: Taking taylor expansion of (* PI -2) in n 1537439698.630 * [misc]taylor: Taking taylor expansion of PI in n 1537439698.630 * [misc]backup-simplify: Simplify PI into PI 1537439698.630 * [misc]taylor: Taking taylor expansion of -2 in n 1537439698.630 * [misc]backup-simplify: Simplify -2 into -2 1537439698.630 * [misc]taylor: Taking taylor expansion of n in n 1537439698.630 * [misc]backup-simplify: Simplify 0 into 0 1537439698.630 * [misc]backup-simplify: Simplify 1 into 1 1537439698.631 * [misc]backup-simplify: Simplify (* PI -2) into (* -2 PI) 1537439698.631 * [misc]backup-simplify: Simplify (/ (* -2 PI) 1) into (* -2 PI) 1537439698.631 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537439698.632 * [misc]backup-simplify: Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1537439698.632 * [misc]taylor: Taking taylor expansion of (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k))) in n 1537439698.632 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in n 1537439698.632 * [misc]taylor: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in n 1537439698.632 * [misc]taylor: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in n 1537439698.632 * [misc]taylor: Taking taylor expansion of (/ -1/2 k) in n 1537439698.632 * [misc]taylor: Taking taylor expansion of -1/2 in n 1537439698.632 * [misc]backup-simplify: Simplify -1/2 into -1/2 1537439698.632 * [misc]taylor: Taking taylor expansion of k in n 1537439698.632 * [misc]backup-simplify: Simplify k into k 1537439698.632 * [misc]backup-simplify: Simplify (/ -1/2 k) into (/ -1/2 k) 1537439698.633 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1537439698.633 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537439698.633 * [misc]taylor: Taking taylor expansion of -2 in n 1537439698.633 * [misc]backup-simplify: Simplify -2 into -2 1537439698.633 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537439698.633 * [misc]taylor: Taking taylor expansion of PI in n 1537439698.633 * [misc]backup-simplify: Simplify PI into PI 1537439698.633 * [misc]taylor: Taking taylor expansion of n in n 1537439698.633 * [misc]backup-simplify: Simplify 0 into 0 1537439698.633 * [misc]backup-simplify: Simplify 1 into 1 1537439698.633 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537439698.633 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537439698.634 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537439698.635 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537439698.635 * [misc]backup-simplify: Simplify (* (/ -1/2 k) (- (log (* -2 PI)) (log n))) into (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) 1537439698.636 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1537439698.636 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1537439698.636 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1537439698.636 * [misc]taylor: Taking taylor expansion of -1 in n 1537439698.636 * [misc]backup-simplify: Simplify -1 into -1 1537439698.636 * [misc]taylor: Taking taylor expansion of k in n 1537439698.636 * [misc]backup-simplify: Simplify k into k 1537439698.636 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1537439698.636 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1537439698.637 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1537439698.637 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1537439698.637 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))) into (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) 1537439698.638 * [misc]backup-simplify: Simplify (/ (* +nan.0 PI) (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into (* +nan.0 (/ PI (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))))) 1537439698.639 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ PI (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))))) in k 1537439698.639 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1537439698.639 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537439698.639 * [misc]taylor: Taking taylor expansion of (/ PI (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 1537439698.639 * [misc]taylor: Taking taylor expansion of PI in k 1537439698.639 * [misc]backup-simplify: Simplify PI into PI 1537439698.639 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 1537439698.639 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k 1537439698.639 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k 1537439698.639 * [misc]taylor: Taking taylor expansion of -1/2 in k 1537439698.639 * [misc]backup-simplify: Simplify -1/2 into -1/2 1537439698.639 * [misc]taylor: Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k 1537439698.639 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1537439698.639 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1537439698.639 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1537439698.639 * [misc]taylor: Taking taylor expansion of -2 in k 1537439698.639 * [misc]backup-simplify: Simplify -2 into -2 1537439698.639 * [misc]taylor: Taking taylor expansion of PI in k 1537439698.639 * [misc]backup-simplify: Simplify PI into PI 1537439698.640 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537439698.640 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537439698.640 * [misc]taylor: Taking taylor expansion of (log n) in k 1537439698.640 * [misc]taylor: Taking taylor expansion of n in k 1537439698.640 * [misc]backup-simplify: Simplify n into n 1537439698.640 * [misc]backup-simplify: Simplify (log n) into (log n) 1537439698.640 * [misc]taylor: Taking taylor expansion of k in k 1537439698.640 * [misc]backup-simplify: Simplify 0 into 0 1537439698.640 * [misc]backup-simplify: Simplify 1 into 1 1537439698.640 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1537439698.641 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1537439698.642 * [misc]backup-simplify: Simplify (/ (- (log (* -2 PI)) (log n)) 1) into (- (log (* -2 PI)) (log n)) 1537439698.642 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* -2 PI)) (log n))) into (* -1/2 (- (log (* -2 PI)) (log n))) 1537439698.643 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1537439698.643 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1537439698.643 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1537439698.643 * [misc]taylor: Taking taylor expansion of -1 in k 1537439698.643 * [misc]backup-simplify: Simplify -1 into -1 1537439698.643 * [misc]taylor: Taking taylor expansion of k in k 1537439698.643 * [misc]backup-simplify: Simplify 0 into 0 1537439698.643 * [misc]backup-simplify: Simplify 1 into 1 1537439698.643 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1537439698.643 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537439698.644 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1537439698.645 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 0) into 0 1537439698.646 * [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))))) 1537439698.646 * [misc]backup-simplify: Simplify (/ PI (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1537439698.647 * [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))))) 1537439698.648 * [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))))) 1537439698.649 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 -2)) into 0 1537439698.650 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -2 PI) (/ 0 1)))) into 0 1537439698.652 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1537439698.654 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537439698.654 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537439698.658 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1537439698.658 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1/2 k) (/ 0 k)))) into 0 1537439698.659 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537439698.659 * [misc]backup-simplify: Simplify (+ (* (/ -1/2 k) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1537439698.661 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1537439698.662 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 0) (* 0 (sqrt (/ -1 k)))) into 0 1537439698.666 * [misc]backup-simplify: Simplify (- (/ (* +nan.0 (pow PI 2)) (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (+ (* (* +nan.0 (/ PI (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))))) (/ 0 (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))))) into (- (* +nan.0 (/ (pow PI 2) (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k)))))) 1537439698.666 * [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 1537439698.666 * [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 1537439698.666 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1537439698.666 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537439698.666 * [misc]taylor: Taking taylor expansion of (/ (pow PI 2) (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 1537439698.666 * [misc]taylor: Taking taylor expansion of (pow PI 2) in k 1537439698.666 * [misc]taylor: Taking taylor expansion of PI in k 1537439698.666 * [misc]backup-simplify: Simplify PI into PI 1537439698.666 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 1537439698.666 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k 1537439698.666 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k 1537439698.666 * [misc]taylor: Taking taylor expansion of -1/2 in k 1537439698.666 * [misc]backup-simplify: Simplify -1/2 into -1/2 1537439698.666 * [misc]taylor: Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k 1537439698.666 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1537439698.666 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1537439698.666 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1537439698.666 * [misc]taylor: Taking taylor expansion of -2 in k 1537439698.666 * [misc]backup-simplify: Simplify -2 into -2 1537439698.666 * [misc]taylor: Taking taylor expansion of PI in k 1537439698.666 * [misc]backup-simplify: Simplify PI into PI 1537439698.667 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537439698.667 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537439698.667 * [misc]taylor: Taking taylor expansion of (log n) in k 1537439698.667 * [misc]taylor: Taking taylor expansion of n in k 1537439698.667 * [misc]backup-simplify: Simplify n into n 1537439698.667 * [misc]backup-simplify: Simplify (log n) into (log n) 1537439698.667 * [misc]taylor: Taking taylor expansion of k in k 1537439698.667 * [misc]backup-simplify: Simplify 0 into 0 1537439698.667 * [misc]backup-simplify: Simplify 1 into 1 1537439698.668 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1537439698.668 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1537439698.669 * [misc]backup-simplify: Simplify (/ (- (log (* -2 PI)) (log n)) 1) into (- (log (* -2 PI)) (log n)) 1537439698.669 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* -2 PI)) (log n))) into (* -1/2 (- (log (* -2 PI)) (log n))) 1537439698.671 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1537439698.671 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1537439698.671 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1537439698.671 * [misc]taylor: Taking taylor expansion of -1 in k 1537439698.671 * [misc]backup-simplify: Simplify -1 into -1 1537439698.671 * [misc]taylor: Taking taylor expansion of k in k 1537439698.671 * [misc]backup-simplify: Simplify 0 into 0 1537439698.671 * [misc]backup-simplify: Simplify 1 into 1 1537439698.671 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1537439698.671 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537439698.672 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1537439698.672 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1537439698.673 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 0) into 0 1537439698.674 * [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))))) 1537439698.675 * [misc]backup-simplify: Simplify (/ (pow PI 2) (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (* +nan.0 (/ (pow PI 2) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1537439698.676 * [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))))) 1537439698.678 * [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)))))) 1537439698.679 * [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)))))) 1537439698.680 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1537439698.681 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1537439698.682 * [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))))) 1537439698.685 * [misc]backup-simplify: Simplify (- (/ 0 (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) (+ (* (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (/ (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))))) into (- (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1537439698.687 * [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)))))) 1537439698.688 * [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)))))) 1537439698.691 * [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 (/ (pow PI 2) (* (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) n))) (- (+ (* +nan.0 (/ PI (* (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) k))) (- (* +nan.0 (/ PI (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k)))))))))) 1537439698.691 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1) 1537439698.691 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) 1/2) into (pow (* 2 (* n PI)) 1/2) 1537439698.691 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) 1/2) in (n) around 0 1537439698.691 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) 1/2) in n 1537439698.691 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (log (* 2 (* n PI))))) in n 1537439698.691 * [misc]taylor: Taking taylor expansion of (* 1/2 (log (* 2 (* n PI)))) in n 1537439698.691 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537439698.691 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439698.691 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1537439698.691 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537439698.691 * [misc]taylor: Taking taylor expansion of 2 in n 1537439698.691 * [misc]backup-simplify: Simplify 2 into 2 1537439698.691 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537439698.691 * [misc]taylor: Taking taylor expansion of n in n 1537439698.692 * [misc]backup-simplify: Simplify 0 into 0 1537439698.692 * [misc]backup-simplify: Simplify 1 into 1 1537439698.692 * [misc]taylor: Taking taylor expansion of PI in n 1537439698.692 * [misc]backup-simplify: Simplify PI into PI 1537439698.692 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537439698.692 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537439698.692 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537439698.693 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537439698.693 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537439698.694 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537439698.694 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1537439698.694 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1537439698.694 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) 1/2) in n 1537439698.694 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (log (* 2 (* n PI))))) in n 1537439698.694 * [misc]taylor: Taking taylor expansion of (* 1/2 (log (* 2 (* n PI)))) in n 1537439698.694 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537439698.695 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439698.695 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1537439698.695 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537439698.695 * [misc]taylor: Taking taylor expansion of 2 in n 1537439698.695 * [misc]backup-simplify: Simplify 2 into 2 1537439698.695 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537439698.695 * [misc]taylor: Taking taylor expansion of n in n 1537439698.695 * [misc]backup-simplify: Simplify 0 into 0 1537439698.695 * [misc]backup-simplify: Simplify 1 into 1 1537439698.695 * [misc]taylor: Taking taylor expansion of PI in n 1537439698.695 * [misc]backup-simplify: Simplify PI into PI 1537439698.695 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537439698.695 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537439698.695 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537439698.696 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537439698.696 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537439698.697 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537439698.697 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1537439698.697 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1537439698.698 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1537439698.699 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1537439698.699 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1537439698.701 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537439698.702 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537439698.702 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1537439698.703 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1537439698.703 * [misc]backup-simplify: Simplify 0 into 0 1537439698.704 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1537439698.705 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1537439698.709 * [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 1537439698.709 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537439698.710 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1537439698.711 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1537439698.712 * [misc]backup-simplify: Simplify 0 into 0 1537439698.713 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537439698.714 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1537439698.720 * [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 1537439698.721 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537439698.721 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1537439698.724 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1537439698.724 * [misc]backup-simplify: Simplify 0 into 0 1537439698.726 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537439698.728 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1537439698.737 * [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 1537439698.738 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537439698.739 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))))) into 0 1537439698.742 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (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 1537439698.742 * [misc]backup-simplify: Simplify 0 into 0 1537439698.746 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537439698.748 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1537439698.762 * [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 1537439698.762 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537439698.763 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))))) into 0 1537439698.769 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (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 1537439698.769 * [misc]backup-simplify: Simplify 0 into 0 1537439698.772 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1537439698.774 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1537439698.797 * [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 1537439698.797 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537439698.798 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))))))) into 0 1537439698.807 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (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 1537439698.807 * [misc]backup-simplify: Simplify 0 into 0 1537439698.807 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1537439698.808 * [misc]backup-simplify: Simplify (pow (* PI (* (/ 1 n) 2)) 1/2) into (pow (* 2 (/ PI n)) 1/2) 1537439698.808 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) 1/2) in (n) around 0 1537439698.808 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) 1/2) in n 1537439698.808 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (log (* 2 (/ PI n))))) in n 1537439698.808 * [misc]taylor: Taking taylor expansion of (* 1/2 (log (* 2 (/ PI n)))) in n 1537439698.808 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537439698.808 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439698.808 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1537439698.808 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537439698.808 * [misc]taylor: Taking taylor expansion of 2 in n 1537439698.808 * [misc]backup-simplify: Simplify 2 into 2 1537439698.808 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537439698.808 * [misc]taylor: Taking taylor expansion of PI in n 1537439698.808 * [misc]backup-simplify: Simplify PI into PI 1537439698.808 * [misc]taylor: Taking taylor expansion of n in n 1537439698.808 * [misc]backup-simplify: Simplify 0 into 0 1537439698.808 * [misc]backup-simplify: Simplify 1 into 1 1537439698.808 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537439698.808 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537439698.809 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537439698.809 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537439698.810 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n))) 1537439698.810 * [misc]backup-simplify: Simplify (exp (* 1/2 (- (log (* 2 PI)) (log n)))) into (exp (* 1/2 (- (log (* 2 PI)) (log n)))) 1537439698.810 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) 1/2) in n 1537439698.810 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (log (* 2 (/ PI n))))) in n 1537439698.810 * [misc]taylor: Taking taylor expansion of (* 1/2 (log (* 2 (/ PI n)))) in n 1537439698.810 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537439698.810 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439698.810 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1537439698.810 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537439698.810 * [misc]taylor: Taking taylor expansion of 2 in n 1537439698.810 * [misc]backup-simplify: Simplify 2 into 2 1537439698.810 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537439698.810 * [misc]taylor: Taking taylor expansion of PI in n 1537439698.810 * [misc]backup-simplify: Simplify PI into PI 1537439698.810 * [misc]taylor: Taking taylor expansion of n in n 1537439698.810 * [misc]backup-simplify: Simplify 0 into 0 1537439698.810 * [misc]backup-simplify: Simplify 1 into 1 1537439698.810 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537439698.811 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537439698.811 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537439698.811 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537439698.812 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n))) 1537439698.812 * [misc]backup-simplify: Simplify (exp (* 1/2 (- (log (* 2 PI)) (log n)))) into (exp (* 1/2 (- (log (* 2 PI)) (log n)))) 1537439698.813 * [misc]backup-simplify: Simplify (exp (* 1/2 (- (log (* 2 PI)) (log n)))) into (exp (* 1/2 (- (log (* 2 PI)) (log n)))) 1537439698.814 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537439698.814 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537439698.816 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537439698.816 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537439698.817 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1537439698.818 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1537439698.818 * [misc]backup-simplify: Simplify 0 into 0 1537439698.819 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439698.820 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1537439698.823 * [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 1537439698.824 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537439698.824 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1537439698.826 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1537439698.826 * [misc]backup-simplify: Simplify 0 into 0 1537439698.827 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439698.828 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537439698.834 * [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 1537439698.834 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537439698.835 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1537439698.837 * [misc]backup-simplify: Simplify (* (exp (* 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 1537439698.838 * [misc]backup-simplify: Simplify 0 into 0 1537439698.839 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439698.842 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537439698.851 * [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 1537439698.851 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537439698.852 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))))) into 0 1537439698.856 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (+ (* (/ (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 1537439698.856 * [misc]backup-simplify: Simplify 0 into 0 1537439698.858 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439698.860 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537439698.877 * [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 1537439698.878 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537439698.879 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))))) into 0 1537439698.885 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (+ (* (/ (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 1537439698.885 * [misc]backup-simplify: Simplify 0 into 0 1537439698.886 * [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 1537439698.888 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537439698.910 * [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 1537439698.911 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537439698.912 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))))))) into 0 1537439698.926 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (+ (* (/ (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 1537439698.926 * [misc]backup-simplify: Simplify 0 into 0 1537439698.927 * [misc]backup-simplify: Simplify (exp (* 1/2 (- (log (* 2 PI)) (log (/ 1 n))))) into (exp (* 1/2 (- (log (* 2 PI)) (log (/ 1 n))))) 1537439698.928 * [misc]backup-simplify: Simplify (pow (* PI (* (/ 1 (- n)) 2)) 1/2) into (pow (* -2 (/ PI n)) 1/2) 1537439698.928 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) 1/2) in (n) around 0 1537439698.928 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) 1/2) in n 1537439698.928 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (log (* -2 (/ PI n))))) in n 1537439698.928 * [misc]taylor: Taking taylor expansion of (* 1/2 (log (* -2 (/ PI n)))) in n 1537439698.928 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537439698.928 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439698.928 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1537439698.928 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537439698.928 * [misc]taylor: Taking taylor expansion of -2 in n 1537439698.928 * [misc]backup-simplify: Simplify -2 into -2 1537439698.928 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537439698.928 * [misc]taylor: Taking taylor expansion of PI in n 1537439698.928 * [misc]backup-simplify: Simplify PI into PI 1537439698.928 * [misc]taylor: Taking taylor expansion of n in n 1537439698.928 * [misc]backup-simplify: Simplify 0 into 0 1537439698.928 * [misc]backup-simplify: Simplify 1 into 1 1537439698.928 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537439698.929 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537439698.929 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537439698.930 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537439698.931 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1537439698.931 * [misc]backup-simplify: Simplify (exp (* 1/2 (- (log (* -2 PI)) (log n)))) into (exp (* 1/2 (- (log (* -2 PI)) (log n)))) 1537439698.931 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) 1/2) in n 1537439698.931 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (log (* -2 (/ PI n))))) in n 1537439698.931 * [misc]taylor: Taking taylor expansion of (* 1/2 (log (* -2 (/ PI n)))) in n 1537439698.931 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537439698.931 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439698.932 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1537439698.932 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537439698.932 * [misc]taylor: Taking taylor expansion of -2 in n 1537439698.932 * [misc]backup-simplify: Simplify -2 into -2 1537439698.932 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537439698.932 * [misc]taylor: Taking taylor expansion of PI in n 1537439698.932 * [misc]backup-simplify: Simplify PI into PI 1537439698.932 * [misc]taylor: Taking taylor expansion of n in n 1537439698.932 * [misc]backup-simplify: Simplify 0 into 0 1537439698.932 * [misc]backup-simplify: Simplify 1 into 1 1537439698.932 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537439698.932 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537439698.933 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537439698.934 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537439698.935 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1537439698.935 * [misc]backup-simplify: Simplify (exp (* 1/2 (- (log (* -2 PI)) (log n)))) into (exp (* 1/2 (- (log (* -2 PI)) (log n)))) 1537439698.936 * [misc]backup-simplify: Simplify (exp (* 1/2 (- (log (* -2 PI)) (log n)))) into (exp (* 1/2 (- (log (* -2 PI)) (log n)))) 1537439698.937 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537439698.938 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537439698.941 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1537439698.942 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537439698.943 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1537439698.944 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1537439698.945 * [misc]backup-simplify: Simplify 0 into 0 1537439698.946 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439698.947 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1537439698.953 * [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 1537439698.954 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537439698.956 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1537439698.959 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1537439698.959 * [misc]backup-simplify: Simplify 0 into 0 1537439698.961 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439698.963 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537439698.972 * [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 1537439698.973 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537439698.974 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1537439698.978 * [misc]backup-simplify: Simplify (* (exp (* 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 1537439698.978 * [misc]backup-simplify: Simplify 0 into 0 1537439698.980 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439698.983 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537439698.999 * [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 1537439699.000 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537439699.002 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))))) into 0 1537439699.008 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (+ (* (/ (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 1537439699.008 * [misc]backup-simplify: Simplify 0 into 0 1537439699.011 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439699.014 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537439699.036 * [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 1537439699.036 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537439699.037 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))))) into 0 1537439699.042 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (+ (* (/ (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 1537439699.043 * [misc]backup-simplify: Simplify 0 into 0 1537439699.044 * [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 1537439699.046 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537439699.068 * [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 1537439699.069 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537439699.069 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))))))) into 0 1537439699.080 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (+ (* (/ (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 1537439699.080 * [misc]backup-simplify: Simplify 0 into 0 1537439699.081 * [misc]backup-simplify: Simplify (exp (* 1/2 (- (log (* -2 PI)) (log (/ 1 (- n)))))) into (exp (* 1/2 (- (log (* -2 PI)) (log (/ -1 n))))) 1537439699.081 * * * [misc]progress: simplifying candidates 1537439699.081 * * * * [misc]progress: [ 1 / 156 ] simplifiying candidate # 1537439699.081 * * * * [misc]progress: [ 2 / 156 ] simplifiying candidate # 1537439699.081 * * * * [misc]progress: [ 3 / 156 ] simplifiying candidate # 1537439699.081 * * * * [misc]progress: [ 4 / 156 ] simplifiying candidate # 1537439699.081 * * * * [misc]progress: [ 5 / 156 ] simplifiying candidate # 1537439699.081 * * * * [misc]progress: [ 6 / 156 ] simplifiying candidate # 1537439699.081 * * * * [misc]progress: [ 7 / 156 ] simplifiying candidate # 1537439699.081 * * * * [misc]progress: [ 8 / 156 ] simplifiying candidate # 1537439699.081 * * * * [misc]progress: [ 9 / 156 ] simplifiying candidate # 1537439699.081 * * * * [misc]progress: [ 10 / 156 ] simplifiying candidate # 1537439699.081 * * * * [misc]progress: [ 11 / 156 ] simplifiying candidate # 1537439699.081 * * * * [misc]progress: [ 12 / 156 ] simplifiying candidate # 1537439699.082 * * * * [misc]progress: [ 13 / 156 ] simplifiying candidate # 1537439699.082 * * * * [misc]progress: [ 14 / 156 ] simplifiying candidate # 1537439699.082 * * * * [misc]progress: [ 15 / 156 ] simplifiying candidate # 1537439699.082 * * * * [misc]progress: [ 16 / 156 ] simplifiying candidate # 1537439699.083 * * * * [misc]progress: [ 17 / 156 ] simplifiying candidate # 1537439699.083 * * * * [misc]progress: [ 18 / 156 ] simplifiying candidate # 1537439699.083 * * * * [misc]progress: [ 19 / 156 ] simplifiying candidate # 1537439699.084 * * * * [misc]progress: [ 20 / 156 ] simplifiying candidate # 1537439699.084 * * * * [misc]progress: [ 21 / 156 ] simplifiying candidate # 1537439699.084 * * * * [misc]progress: [ 22 / 156 ] simplifiying candidate # 1537439699.084 * * * * [misc]progress: [ 23 / 156 ] simplifiying candidate # 1537439699.084 * * * * [misc]progress: [ 24 / 156 ] simplifiying candidate # 1537439699.084 * * * * [misc]progress: [ 25 / 156 ] simplifiying candidate # 1537439699.084 * * * * [misc]progress: [ 26 / 156 ] simplifiying candidate # 1537439699.084 * [enter]simplify: Simplifying (- (- (* (log (* PI (* n 2))) 1/2) (* (log (* PI (* n 2))) (/ k 2))) (log (sqrt k))) 1537439699.086 * * [misc]simplify: iters left: 6 (15 enodes) 1537439699.094 * * [misc]simplify: iters left: 5 (35 enodes) 1537439699.114 * * [misc]simplify: iters left: 4 (88 enodes) 1537439699.153 * * [misc]simplify: iters left: 3 (246 enodes) 1537439699.325 * [exit]simplify: Simplified to (fma (log (* (* 2 n) PI)) (- 1/2 (/ k 2)) (- (log (sqrt k)))) 1537439699.325 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log (* (* 2 n) PI)) (- 1/2 (/ k 2)) (- (log (sqrt k)))))) 1537439699.325 * * * * [misc]progress: [ 27 / 156 ] simplifiying candidate # 1537439699.325 * [enter]simplify: Simplifying (- (- (* (log (* PI (* n 2))) 1/2) (* (log (* PI (* n 2))) (/ k 2))) (log (sqrt k))) 1537439699.326 * * [misc]simplify: iters left: 6 (15 enodes) 1537439699.331 * * [misc]simplify: iters left: 5 (35 enodes) 1537439699.342 * * [misc]simplify: iters left: 4 (88 enodes) 1537439699.390 * * [misc]simplify: iters left: 3 (246 enodes) 1537439699.555 * [exit]simplify: Simplified to (fma (log (* (* 2 n) PI)) (- 1/2 (/ k 2)) (- (log (sqrt k)))) 1537439699.555 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log (* (* 2 n) PI)) (- 1/2 (/ k 2)) (- (log (sqrt k)))))) 1537439699.556 * * * * [misc]progress: [ 28 / 156 ] simplifiying candidate # 1537439699.556 * [enter]simplify: Simplifying (- (- (* (log (* PI (* n 2))) 1/2) (log (pow (* PI (* n 2)) (/ k 2)))) (log (sqrt k))) 1537439699.558 * * [misc]simplify: iters left: 6 (16 enodes) 1537439699.565 * * [misc]simplify: iters left: 5 (32 enodes) 1537439699.583 * * [misc]simplify: iters left: 4 (78 enodes) 1537439699.640 * * [misc]simplify: iters left: 3 (231 enodes) 1537439699.852 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))) 1537439699.853 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))))) 1537439699.853 * * * * [misc]progress: [ 29 / 156 ] simplifiying candidate # 1537439699.853 * [enter]simplify: Simplifying (- (- (* (log (* PI (* n 2))) 1/2) (* (log (* PI (* n 2))) (/ k 2))) (log (sqrt k))) 1537439699.854 * * [misc]simplify: iters left: 6 (15 enodes) 1537439699.864 * * [misc]simplify: iters left: 5 (35 enodes) 1537439699.875 * * [misc]simplify: iters left: 4 (88 enodes) 1537439699.912 * * [misc]simplify: iters left: 3 (246 enodes) 1537439700.079 * [exit]simplify: Simplified to (fma (log (* (* 2 n) PI)) (- 1/2 (/ k 2)) (- (log (sqrt k)))) 1537439700.079 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log (* (* 2 n) PI)) (- 1/2 (/ k 2)) (- (log (sqrt k)))))) 1537439700.079 * * * * [misc]progress: [ 30 / 156 ] simplifiying candidate # 1537439700.079 * [enter]simplify: Simplifying (- (- (* (log (* PI (* n 2))) 1/2) (* (log (* PI (* n 2))) (/ k 2))) (log (sqrt k))) 1537439700.080 * * [misc]simplify: iters left: 6 (15 enodes) 1537439700.085 * * [misc]simplify: iters left: 5 (35 enodes) 1537439700.095 * * [misc]simplify: iters left: 4 (88 enodes) 1537439700.132 * * [misc]simplify: iters left: 3 (246 enodes) 1537439700.322 * [exit]simplify: Simplified to (fma (log (* (* 2 n) PI)) (- 1/2 (/ k 2)) (- (log (sqrt k)))) 1537439700.322 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log (* (* 2 n) PI)) (- 1/2 (/ k 2)) (- (log (sqrt k)))))) 1537439700.322 * * * * [misc]progress: [ 31 / 156 ] simplifiying candidate # 1537439700.323 * [enter]simplify: Simplifying (- (- (* (log (* PI (* n 2))) 1/2) (log (pow (* PI (* n 2)) (/ k 2)))) (log (sqrt k))) 1537439700.324 * * [misc]simplify: iters left: 6 (16 enodes) 1537439700.328 * * [misc]simplify: iters left: 5 (32 enodes) 1537439700.338 * * [misc]simplify: iters left: 4 (78 enodes) 1537439700.381 * * [misc]simplify: iters left: 3 (231 enodes) 1537439700.547 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))) 1537439700.548 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))))) 1537439700.548 * * * * [misc]progress: [ 32 / 156 ] simplifiying candidate # 1537439700.548 * [enter]simplify: Simplifying (- (- (log (pow (* PI (* n 2)) 1/2)) (* (log (* PI (* n 2))) (/ k 2))) (log (sqrt k))) 1537439700.549 * * [misc]simplify: iters left: 6 (16 enodes) 1537439700.556 * * [misc]simplify: iters left: 5 (34 enodes) 1537439700.570 * * [misc]simplify: iters left: 4 (86 enodes) 1537439700.614 * * [misc]simplify: iters left: 3 (240 enodes) 1537439700.753 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))) 1537439700.753 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))))) 1537439700.753 * * * * [misc]progress: [ 33 / 156 ] simplifiying candidate # 1537439700.753 * [enter]simplify: Simplifying (- (- (log (pow (* PI (* n 2)) 1/2)) (* (log (* PI (* n 2))) (/ k 2))) (log (sqrt k))) 1537439700.754 * * [misc]simplify: iters left: 6 (16 enodes) 1537439700.758 * * [misc]simplify: iters left: 5 (34 enodes) 1537439700.769 * * [misc]simplify: iters left: 4 (86 enodes) 1537439700.805 * * [misc]simplify: iters left: 3 (240 enodes) 1537439701.016 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))) 1537439701.016 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))))) 1537439701.016 * * * * [misc]progress: [ 34 / 156 ] simplifiying candidate # 1537439701.016 * [enter]simplify: Simplifying (- (- (log (pow (* PI (* n 2)) 1/2)) (log (pow (* PI (* n 2)) (/ k 2)))) (log (sqrt k))) 1537439701.018 * * [misc]simplify: iters left: 6 (16 enodes) 1537439701.021 * * [misc]simplify: iters left: 5 (30 enodes) 1537439701.031 * * [misc]simplify: iters left: 4 (66 enodes) 1537439701.068 * * [misc]simplify: iters left: 3 (184 enodes) 1537439701.249 * [exit]simplify: Simplified to (fma (log (* (* 2 n) PI)) (- 1/2 (/ k 2)) (- (log (sqrt k)))) 1537439701.249 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log (* (* 2 n) PI)) (- 1/2 (/ k 2)) (- (log (sqrt k)))))) 1537439701.249 * * * * [misc]progress: [ 35 / 156 ] simplifiying candidate # 1537439701.249 * [enter]simplify: Simplifying (- (log (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (log (sqrt k))) 1537439701.251 * * [misc]simplify: iters left: 6 (15 enodes) 1537439701.257 * * [misc]simplify: iters left: 5 (25 enodes) 1537439701.268 * * [misc]simplify: iters left: 4 (41 enodes) 1537439701.288 * * [misc]simplify: iters left: 3 (85 enodes) 1537439701.329 * * [misc]simplify: iters left: 2 (249 enodes) 1537439701.689 * [exit]simplify: Simplified to (fma (log (* (* 2 n) PI)) (- 1/2 (/ k 2)) (- (log (sqrt k)))) 1537439701.689 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log (* (* 2 n) PI)) (- 1/2 (/ k 2)) (- (log (sqrt k)))))) 1537439701.689 * * * * [misc]progress: [ 36 / 156 ] simplifiying candidate # 1537439701.689 * * * * [misc]progress: [ 37 / 156 ] simplifiying candidate # 1537439701.689 * * * * [misc]progress: [ 38 / 156 ] simplifiying candidate # 1537439701.690 * [enter]simplify: Simplifying (/ (/ (* (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) 1/2)) (* (* (pow (* PI (* n 2)) (/ k 2)) (pow (* PI (* n 2)) (/ k 2))) (pow (* PI (* n 2)) (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 1537439701.692 * * [misc]simplify: iters left: 6 (19 enodes) 1537439701.703 * * [misc]simplify: iters left: 5 (38 enodes) 1537439701.728 * * [misc]simplify: iters left: 4 (109 enodes) 1537439701.845 * * [misc]simplify: iters left: 3 (485 enodes) 1537439703.226 * [exit]simplify: Simplified to (/ (* (sqrt (* (* 2 n) PI)) (* (/ 2 k) (/ (* PI n) (sqrt k)))) (pow (pow (* (* 2 n) PI) (/ k 2)) 3)) 1537439703.226 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (/ (* (sqrt (* (* 2 n) PI)) (* (/ 2 k) (/ (* PI n) (sqrt k)))) (pow (pow (* (* 2 n) PI) (/ k 2)) 3)))) 1537439703.226 * * * * [misc]progress: [ 39 / 156 ] simplifiying candidate # 1537439703.226 * [enter]simplify: Simplifying (/ (* (* (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 1537439703.227 * * [misc]simplify: iters left: 6 (17 enodes) 1537439703.234 * * [misc]simplify: iters left: 5 (37 enodes) 1537439703.255 * * [misc]simplify: iters left: 4 (95 enodes) 1537439703.296 * * [misc]simplify: iters left: 3 (262 enodes) 1537439703.631 * [exit]simplify: Simplified to (* (/ (/ (* (* 2 n) PI) (pow (* (* 2 n) PI) (/ k 2))) (* (pow (* (* 2 n) PI) (/ k 2)) (sqrt k))) (/ (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2))) k)) 1537439703.631 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (/ (/ (* (* 2 n) PI) (pow (* (* 2 n) PI) (/ k 2))) (* (pow (* (* 2 n) PI) (/ k 2)) (sqrt k))) (/ (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2))) k)))) 1537439703.631 * * * * [misc]progress: [ 40 / 156 ] simplifiying candidate # 1537439703.631 * * * * [misc]progress: [ 41 / 156 ] simplifiying candidate # 1537439703.631 * * * * [misc]progress: [ 42 / 156 ] simplifiying candidate # 1537439703.631 * * * * [misc]progress: [ 43 / 156 ] simplifiying candidate # 1537439703.631 * * * * [misc]progress: [ 44 / 156 ] simplifiying candidate # 1537439703.631 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (cbrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537439703.633 * * [misc]simplify: iters left: 6 (17 enodes) 1537439703.641 * * [misc]simplify: iters left: 5 (28 enodes) 1537439703.653 * * [misc]simplify: iters left: 4 (43 enodes) 1537439703.667 * * [misc]simplify: iters left: 3 (48 enodes) 1537439703.681 * * [misc]simplify: iters left: 2 (51 enodes) 1537439703.701 * [exit]simplify: Simplified to (* (/ (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (sqrt k)))) 1537439703.702 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k))))) 1537439703.702 * [enter]simplify: Simplifying (/ (cbrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k))) 1537439703.703 * * [misc]simplify: iters left: 6 (15 enodes) 1537439703.709 * * [misc]simplify: iters left: 5 (20 enodes) 1537439703.717 * * [misc]simplify: iters left: 4 (26 enodes) 1537439703.725 * * [misc]simplify: iters left: 3 (28 enodes) 1537439703.734 * [exit]simplify: Simplified to (/ (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (sqrt k))) 1537439703.734 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (sqrt k))))) 1537439703.734 * * * * [misc]progress: [ 45 / 156 ] simplifiying candidate # 1537439703.735 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (cbrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))))) (sqrt (sqrt k))) 1537439703.736 * * [misc]simplify: iters left: 6 (16 enodes) 1537439703.743 * * [misc]simplify: iters left: 5 (23 enodes) 1537439703.751 * * [misc]simplify: iters left: 4 (31 enodes) 1537439703.761 * * [misc]simplify: iters left: 3 (33 enodes) 1537439703.774 * [exit]simplify: Simplified to (/ (* (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2))))) (sqrt (sqrt k))) 1537439703.774 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2))))) (sqrt (sqrt k))) (/ (cbrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k))))) 1537439703.774 * [enter]simplify: Simplifying (/ (cbrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k))) 1537439703.777 * * [misc]simplify: iters left: 6 (15 enodes) 1537439703.783 * * [misc]simplify: iters left: 5 (20 enodes) 1537439703.790 * * [misc]simplify: iters left: 4 (26 enodes) 1537439703.799 * * [misc]simplify: iters left: 3 (28 enodes) 1537439703.808 * [exit]simplify: Simplified to (/ (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (sqrt (sqrt k))) 1537439703.808 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2))))) (sqrt (sqrt k))) (/ (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (sqrt (sqrt k))))) 1537439703.809 * * * * [misc]progress: [ 46 / 156 ] simplifiying candidate # 1537439703.809 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (cbrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))))) 1) 1537439703.810 * * [misc]simplify: iters left: 6 (15 enodes) 1537439703.817 * * [misc]simplify: iters left: 5 (24 enodes) 1537439703.824 * * [misc]simplify: iters left: 4 (36 enodes) 1537439703.831 * * [misc]simplify: iters left: 3 (52 enodes) 1537439703.840 * * [misc]simplify: iters left: 2 (78 enodes) 1537439703.852 * [exit]simplify: Simplified to (* (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2))))) 1537439703.852 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2))))) (/ (cbrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (sqrt k)))) 1537439703.852 * [enter]simplify: Simplifying (/ (cbrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (sqrt k)) 1537439703.853 * * [misc]simplify: iters left: 6 (14 enodes) 1537439703.855 * * [misc]simplify: iters left: 5 (19 enodes) 1537439703.861 * * [misc]simplify: iters left: 4 (25 enodes) 1537439703.869 * * [misc]simplify: iters left: 3 (26 enodes) 1537439703.878 * [exit]simplify: Simplified to (/ (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (sqrt k)) 1537439703.878 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2))))) (/ (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (sqrt k)))) 1537439703.878 * * * * [misc]progress: [ 47 / 156 ] simplifiying candidate # 1537439703.879 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537439703.883 * * [misc]simplify: iters left: 6 (16 enodes) 1537439703.889 * * [misc]simplify: iters left: 5 (23 enodes) 1537439703.897 * * [misc]simplify: iters left: 4 (29 enodes) 1537439703.907 * * [misc]simplify: iters left: 3 (30 enodes) 1537439703.917 * [exit]simplify: Simplified to (/ (sqrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537439703.917 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k))))) 1537439703.918 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k))) 1537439703.919 * * [misc]simplify: iters left: 6 (15 enodes) 1537439703.925 * * [misc]simplify: iters left: 5 (20 enodes) 1537439703.932 * * [misc]simplify: iters left: 4 (26 enodes) 1537439703.941 * * [misc]simplify: iters left: 3 (28 enodes) 1537439703.951 * [exit]simplify: Simplified to (/ (sqrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (sqrt k))) 1537439703.951 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (sqrt k))))) 1537439703.951 * * * * [misc]progress: [ 48 / 156 ] simplifiying candidate # 1537439703.951 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k))) 1537439703.953 * * [misc]simplify: iters left: 6 (15 enodes) 1537439703.959 * * [misc]simplify: iters left: 5 (20 enodes) 1537439703.966 * * [misc]simplify: iters left: 4 (26 enodes) 1537439703.971 * * [misc]simplify: iters left: 3 (28 enodes) 1537439703.976 * [exit]simplify: Simplified to (/ (sqrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (sqrt (sqrt k))) 1537439703.976 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k))))) 1537439703.976 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k))) 1537439703.977 * * [misc]simplify: iters left: 6 (15 enodes) 1537439703.980 * * [misc]simplify: iters left: 5 (20 enodes) 1537439703.983 * * [misc]simplify: iters left: 4 (26 enodes) 1537439703.987 * * [misc]simplify: iters left: 3 (28 enodes) 1537439703.994 * [exit]simplify: Simplified to (/ (sqrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (sqrt (sqrt k))) 1537439703.994 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (sqrt (sqrt k))))) 1537439703.994 * * * * [misc]progress: [ 49 / 156 ] simplifiying candidate # 1537439703.994 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) 1) 1537439703.995 * * [misc]simplify: iters left: 6 (14 enodes) 1537439703.998 * * [misc]simplify: iters left: 5 (21 enodes) 1537439704.002 * * [misc]simplify: iters left: 4 (29 enodes) 1537439704.006 * * [misc]simplify: iters left: 3 (31 enodes) 1537439704.015 * [exit]simplify: Simplified to (sqrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) 1537439704.015 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (/ (sqrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (sqrt k)))) 1537439704.016 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (sqrt k)) 1537439704.017 * * [misc]simplify: iters left: 6 (14 enodes) 1537439704.023 * * [misc]simplify: iters left: 5 (19 enodes) 1537439704.030 * * [misc]simplify: iters left: 4 (25 enodes) 1537439704.037 * * [misc]simplify: iters left: 3 (26 enodes) 1537439704.046 * [exit]simplify: Simplified to (/ (sqrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (sqrt k)) 1537439704.047 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (/ (sqrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (sqrt k)))) 1537439704.047 * * * * [misc]progress: [ 50 / 156 ] simplifiying candidate # 1537439704.047 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (pow PI (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537439704.048 * * [misc]simplify: iters left: 6 (12 enodes) 1537439704.053 * * [misc]simplify: iters left: 5 (17 enodes) 1537439704.059 * * [misc]simplify: iters left: 4 (23 enodes) 1537439704.067 * * [misc]simplify: iters left: 3 (28 enodes) 1537439704.074 * * [misc]simplify: iters left: 2 (29 enodes) 1537439704.085 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (pow PI (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537439704.085 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (pow PI (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2))) (cbrt (sqrt k))))) 1537439704.085 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2))) (cbrt (sqrt k))) 1537439704.086 * * [misc]simplify: iters left: 6 (12 enodes) 1537439704.091 * * [misc]simplify: iters left: 5 (16 enodes) 1537439704.096 * * [misc]simplify: iters left: 4 (19 enodes) 1537439704.104 * [exit]simplify: Simplified to (/ (/ (sqrt (* n 2)) (pow (* n 2) (/ k 2))) (cbrt (sqrt k))) 1537439704.104 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (pow PI (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (sqrt (* n 2)) (pow (* n 2) (/ k 2))) (cbrt (sqrt k))))) 1537439704.104 * * * * [misc]progress: [ 51 / 156 ] simplifiying candidate # 1537439704.104 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (pow PI (/ k 2))) (sqrt (sqrt k))) 1537439704.105 * * [misc]simplify: iters left: 6 (11 enodes) 1537439704.109 * * [misc]simplify: iters left: 5 (14 enodes) 1537439704.114 * * [misc]simplify: iters left: 4 (17 enodes) 1537439704.123 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (sqrt (sqrt k))) (pow PI (/ k 2))) 1537439704.123 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt k))) (pow PI (/ k 2))) (/ (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2))) (sqrt (sqrt k))))) 1537439704.123 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2))) (sqrt (sqrt k))) 1537439704.124 * * [misc]simplify: iters left: 6 (12 enodes) 1537439704.128 * * [misc]simplify: iters left: 5 (16 enodes) 1537439704.131 * * [misc]simplify: iters left: 4 (19 enodes) 1537439704.134 * [exit]simplify: Simplified to (/ (/ (sqrt (* n 2)) (pow (* n 2) (/ k 2))) (sqrt (sqrt k))) 1537439704.134 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt k))) (pow PI (/ k 2))) (/ (/ (sqrt (* n 2)) (pow (* n 2) (/ k 2))) (sqrt (sqrt k))))) 1537439704.134 * * * * [misc]progress: [ 52 / 156 ] simplifiying candidate # 1537439704.134 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (pow PI (/ k 2))) 1) 1537439704.135 * * [misc]simplify: iters left: 6 (10 enodes) 1537439704.137 * * [misc]simplify: iters left: 5 (15 enodes) 1537439704.139 * * [misc]simplify: iters left: 4 (18 enodes) 1537439704.143 * * [misc]simplify: iters left: 3 (21 enodes) 1537439704.145 * [exit]simplify: Simplified to (/ (sqrt PI) (pow PI (/ k 2))) 1537439704.145 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (pow PI (/ k 2))) (/ (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2))) (sqrt k)))) 1537439704.146 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2))) (sqrt k)) 1537439704.146 * * [misc]simplify: iters left: 6 (11 enodes) 1537439704.148 * * [misc]simplify: iters left: 5 (15 enodes) 1537439704.151 * * [misc]simplify: iters left: 4 (18 enodes) 1537439704.154 * [exit]simplify: Simplified to (/ (/ (sqrt (* n 2)) (pow (* n 2) (/ k 2))) (sqrt k)) 1537439704.154 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (pow PI (/ k 2))) (/ (/ (sqrt (* n 2)) (pow (* n 2) (/ k 2))) (sqrt k)))) 1537439704.154 * * * * [misc]progress: [ 53 / 156 ] simplifiying candidate # 1537439704.154 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537439704.155 * * [misc]simplify: iters left: 6 (17 enodes) 1537439704.159 * * [misc]simplify: iters left: 5 (28 enodes) 1537439704.165 * * [misc]simplify: iters left: 4 (44 enodes) 1537439704.173 * * [misc]simplify: iters left: 3 (59 enodes) 1537439704.182 * * [misc]simplify: iters left: 2 (71 enodes) 1537439704.192 * * [misc]simplify: iters left: 1 (74 enodes) 1537439704.206 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) 1537439704.206 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) (/ (/ (pow (* n 2) 1/2) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k))))) 1537439704.206 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k))) 1537439704.207 * * [misc]simplify: iters left: 6 (15 enodes) 1537439704.210 * * [misc]simplify: iters left: 5 (22 enodes) 1537439704.217 * * [misc]simplify: iters left: 4 (31 enodes) 1537439704.227 * * [misc]simplify: iters left: 3 (33 enodes) 1537439704.238 * [exit]simplify: Simplified to (/ (/ (sqrt (* n 2)) (cbrt (sqrt k))) (cbrt (pow (* (* PI n) 2) (/ k 2)))) 1537439704.238 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) (/ (/ (sqrt (* n 2)) (cbrt (sqrt k))) (cbrt (pow (* (* PI n) 2) (/ k 2)))))) 1537439704.238 * * * * [misc]progress: [ 54 / 156 ] simplifiying candidate # 1537439704.239 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))) (sqrt (sqrt k))) 1537439704.241 * * [misc]simplify: iters left: 6 (16 enodes) 1537439704.248 * * [misc]simplify: iters left: 5 (25 enodes) 1537439704.257 * * [misc]simplify: iters left: 4 (36 enodes) 1537439704.269 * * [misc]simplify: iters left: 3 (41 enodes) 1537439704.280 * * [misc]simplify: iters left: 2 (47 enodes) 1537439704.289 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (sqrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ k 2))) (cbrt (pow (* n (* 2 PI)) (/ k 2))))) 1537439704.289 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ k 2))) (cbrt (pow (* n (* 2 PI)) (/ k 2))))) (/ (/ (pow (* n 2) 1/2) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k))))) 1537439704.289 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k))) 1537439704.290 * * [misc]simplify: iters left: 6 (15 enodes) 1537439704.294 * * [misc]simplify: iters left: 5 (22 enodes) 1537439704.298 * * [misc]simplify: iters left: 4 (31 enodes) 1537439704.303 * * [misc]simplify: iters left: 3 (33 enodes) 1537439704.309 * [exit]simplify: Simplified to (/ (/ (sqrt (* n 2)) (sqrt (sqrt k))) (cbrt (pow (* (* PI n) 2) (/ k 2)))) 1537439704.309 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ k 2))) (cbrt (pow (* n (* 2 PI)) (/ k 2))))) (/ (/ (sqrt (* n 2)) (sqrt (sqrt k))) (cbrt (pow (* (* PI n) 2) (/ k 2)))))) 1537439704.309 * * * * [misc]progress: [ 55 / 156 ] simplifiying candidate # 1537439704.309 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))) 1) 1537439704.310 * * [misc]simplify: iters left: 6 (15 enodes) 1537439704.314 * * [misc]simplify: iters left: 5 (26 enodes) 1537439704.319 * * [misc]simplify: iters left: 4 (37 enodes) 1537439704.325 * * [misc]simplify: iters left: 3 (43 enodes) 1537439704.331 * * [misc]simplify: iters left: 2 (46 enodes) 1537439704.338 * [exit]simplify: Simplified to (/ (sqrt PI) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) 1537439704.338 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) (/ (/ (pow (* n 2) 1/2) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt k)))) 1537439704.338 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt k)) 1537439704.339 * * [misc]simplify: iters left: 6 (14 enodes) 1537439704.346 * * [misc]simplify: iters left: 5 (21 enodes) 1537439704.354 * * [misc]simplify: iters left: 4 (30 enodes) 1537439704.363 * * [misc]simplify: iters left: 3 (32 enodes) 1537439704.374 * [exit]simplify: Simplified to (/ (/ (sqrt (* n 2)) (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ k 2)))) 1537439704.374 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) (/ (/ (sqrt (* n 2)) (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ k 2)))))) 1537439704.374 * * * * [misc]progress: [ 56 / 156 ] simplifiying candidate # 1537439704.375 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537439704.376 * * [misc]simplify: iters left: 6 (16 enodes) 1537439704.383 * * [misc]simplify: iters left: 5 (25 enodes) 1537439704.395 * * [misc]simplify: iters left: 4 (37 enodes) 1537439704.408 * * [misc]simplify: iters left: 3 (44 enodes) 1537439704.419 * * [misc]simplify: iters left: 2 (45 enodes) 1537439704.433 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow (* n (* 2 PI)) (/ k 2)))) 1537439704.433 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (/ (pow (* n 2) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k))))) 1537439704.433 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k))) 1537439704.434 * * [misc]simplify: iters left: 6 (15 enodes) 1537439704.437 * * [misc]simplify: iters left: 5 (22 enodes) 1537439704.441 * * [misc]simplify: iters left: 4 (31 enodes) 1537439704.446 * * [misc]simplify: iters left: 3 (33 enodes) 1537439704.452 * [exit]simplify: Simplified to (/ (/ (sqrt (* n 2)) (cbrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (/ k 2)))) 1537439704.452 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (/ (sqrt (* n 2)) (cbrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (/ k 2)))))) 1537439704.452 * * * * [misc]progress: [ 57 / 156 ] simplifiying candidate # 1537439704.453 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k))) 1537439704.454 * * [misc]simplify: iters left: 6 (15 enodes) 1537439704.457 * * [misc]simplify: iters left: 5 (22 enodes) 1537439704.461 * * [misc]simplify: iters left: 4 (31 enodes) 1537439704.466 * * [misc]simplify: iters left: 3 (33 enodes) 1537439704.471 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) 1537439704.471 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (/ (/ (pow (* n 2) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k))))) 1537439704.472 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k))) 1537439704.473 * * [misc]simplify: iters left: 6 (15 enodes) 1537439704.476 * * [misc]simplify: iters left: 5 (22 enodes) 1537439704.481 * * [misc]simplify: iters left: 4 (31 enodes) 1537439704.486 * * [misc]simplify: iters left: 3 (33 enodes) 1537439704.492 * [exit]simplify: Simplified to (/ (/ (sqrt (* n 2)) (sqrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (/ k 2)))) 1537439704.492 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (/ (/ (sqrt (* n 2)) (sqrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (/ k 2)))))) 1537439704.492 * * * * [misc]progress: [ 58 / 156 ] simplifiying candidate # 1537439704.492 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) 1) 1537439704.493 * * [misc]simplify: iters left: 6 (14 enodes) 1537439704.496 * * [misc]simplify: iters left: 5 (23 enodes) 1537439704.500 * * [misc]simplify: iters left: 4 (32 enodes) 1537439704.506 * * [misc]simplify: iters left: 3 (37 enodes) 1537439704.511 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (pow (* n (* 2 PI)) (/ k 2)))) 1537439704.511 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (/ (pow (* n 2) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt k)))) 1537439704.512 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt k)) 1537439704.513 * * [misc]simplify: iters left: 6 (14 enodes) 1537439704.516 * * [misc]simplify: iters left: 5 (21 enodes) 1537439704.520 * * [misc]simplify: iters left: 4 (30 enodes) 1537439704.525 * * [misc]simplify: iters left: 3 (32 enodes) 1537439704.530 * [exit]simplify: Simplified to (/ (/ (sqrt (* n 2)) (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ k 2)))) 1537439704.530 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (/ (sqrt (* n 2)) (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ k 2)))))) 1537439704.531 * * * * [misc]progress: [ 59 / 156 ] simplifiying candidate # 1537439704.531 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537439704.531 * * [misc]simplify: iters left: 6 (10 enodes) 1537439704.536 * * [misc]simplify: iters left: 5 (17 enodes) 1537439704.543 * * [misc]simplify: iters left: 4 (25 enodes) 1537439704.551 * * [misc]simplify: iters left: 3 (34 enodes) 1537439704.560 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) 1537439704.560 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (/ (pow (* n 2) 1/2) (pow (* PI (* n 2)) (/ k 2))) (cbrt (sqrt k))))) 1537439704.560 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (pow (* PI (* n 2)) (/ k 2))) (cbrt (sqrt k))) 1537439704.562 * * [misc]simplify: iters left: 6 (14 enodes) 1537439704.569 * * [misc]simplify: iters left: 5 (21 enodes) 1537439704.579 * * [misc]simplify: iters left: 4 (30 enodes) 1537439704.588 * * [misc]simplify: iters left: 3 (32 enodes) 1537439704.599 * [exit]simplify: Simplified to (/ (/ (sqrt (* n 2)) (cbrt (sqrt k))) (pow (* (* n 2) PI) (/ k 2))) 1537439704.599 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (/ (sqrt (* n 2)) (cbrt (sqrt k))) (pow (* (* n 2) PI) (/ k 2))))) 1537439704.599 * * * * [misc]progress: [ 60 / 156 ] simplifiying candidate # 1537439704.599 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) 1) (sqrt (sqrt k))) 1537439704.600 * * [misc]simplify: iters left: 5 (9 enodes) 1537439704.604 * * [misc]simplify: iters left: 4 (14 enodes) 1537439704.609 * * [misc]simplify: iters left: 3 (19 enodes) 1537439704.614 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1537439704.614 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (/ (pow (* n 2) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k))))) 1537439704.614 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k))) 1537439704.616 * * [misc]simplify: iters left: 6 (14 enodes) 1537439704.621 * * [misc]simplify: iters left: 5 (21 enodes) 1537439704.630 * * [misc]simplify: iters left: 4 (30 enodes) 1537439704.639 * * [misc]simplify: iters left: 3 (32 enodes) 1537439704.650 * [exit]simplify: Simplified to (/ (/ (sqrt (* n 2)) (sqrt (sqrt k))) (pow (* (* n 2) PI) (/ k 2))) 1537439704.650 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (/ (sqrt (* n 2)) (sqrt (sqrt k))) (pow (* (* n 2) PI) (/ k 2))))) 1537439704.650 * * * * [misc]progress: [ 61 / 156 ] simplifiying candidate # 1537439704.650 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) 1) 1) 1537439704.651 * * [misc]simplify: iters left: 5 (6 enodes) 1537439704.654 * * [misc]simplify: iters left: 4 (11 enodes) 1537439704.657 * [exit]simplify: Simplified to (sqrt PI) 1537439704.657 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (/ (pow (* n 2) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))) 1537439704.657 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)) 1537439704.658 * * [misc]simplify: iters left: 6 (13 enodes) 1537439704.663 * * [misc]simplify: iters left: 5 (20 enodes) 1537439704.667 * * [misc]simplify: iters left: 4 (29 enodes) 1537439704.672 * * [misc]simplify: iters left: 3 (31 enodes) 1537439704.677 * [exit]simplify: Simplified to (/ (/ (sqrt (* n 2)) (sqrt k)) (pow (* n (* PI 2)) (/ k 2))) 1537439704.677 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (/ (sqrt (* n 2)) (sqrt k)) (pow (* n (* PI 2)) (/ k 2))))) 1537439704.677 * * * * [misc]progress: [ 62 / 156 ] simplifiying candidate # 1537439704.678 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (pow PI (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537439704.679 * * [misc]simplify: iters left: 6 (17 enodes) 1537439704.683 * * [misc]simplify: iters left: 5 (28 enodes) 1537439704.691 * * [misc]simplify: iters left: 4 (48 enodes) 1537439704.707 * * [misc]simplify: iters left: 3 (84 enodes) 1537439704.734 * * [misc]simplify: iters left: 2 (123 enodes) 1537439704.756 * * [misc]simplify: iters left: 1 (141 enodes) 1537439704.797 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (* (* PI 2) n))) (pow PI (/ k 2))) (/ (cbrt (sqrt (* (* PI 2) n))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1537439704.797 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (sqrt (* (* PI 2) n))) (pow PI (/ k 2))) (/ (cbrt (sqrt (* (* PI 2) n))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (pow (* n 2) (/ k 2))) (cbrt (sqrt k))))) 1537439704.797 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (pow (* n 2) (/ k 2))) (cbrt (sqrt k))) 1537439704.798 * * [misc]simplify: iters left: 6 (15 enodes) 1537439704.801 * * [misc]simplify: iters left: 5 (22 enodes) 1537439704.807 * * [misc]simplify: iters left: 4 (31 enodes) 1537439704.816 * * [misc]simplify: iters left: 3 (32 enodes) 1537439704.827 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* 2 n) PI))) (* (pow (* 2 n) (/ k 2)) (cbrt (sqrt k)))) 1537439704.827 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (sqrt (* (* PI 2) n))) (pow PI (/ k 2))) (/ (cbrt (sqrt (* (* PI 2) n))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt (sqrt (* (* 2 n) PI))) (* (pow (* 2 n) (/ k 2)) (cbrt (sqrt k)))))) 1537439704.828 * * * * [misc]progress: [ 63 / 156 ] simplifiying candidate # 1537439704.828 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (pow PI (/ k 2))) (sqrt (sqrt k))) 1537439704.829 * * [misc]simplify: iters left: 6 (16 enodes) 1537439704.836 * * [misc]simplify: iters left: 5 (25 enodes) 1537439704.846 * * [misc]simplify: iters left: 4 (40 enodes) 1537439704.861 * * [misc]simplify: iters left: 3 (55 enodes) 1537439704.878 * * [misc]simplify: iters left: 2 (63 enodes) 1537439704.896 * * [misc]simplify: iters left: 1 (66 enodes) 1537439704.921 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (* (sqrt (sqrt k)) (pow PI (/ k 2)))) 1537439704.921 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (* (sqrt (sqrt k)) (pow PI (/ k 2)))) (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (pow (* n 2) (/ k 2))) (sqrt (sqrt k))))) 1537439704.922 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (pow (* n 2) (/ k 2))) (sqrt (sqrt k))) 1537439704.923 * * [misc]simplify: iters left: 6 (15 enodes) 1537439704.929 * * [misc]simplify: iters left: 5 (22 enodes) 1537439704.937 * * [misc]simplify: iters left: 4 (31 enodes) 1537439704.947 * * [misc]simplify: iters left: 3 (32 enodes) 1537439704.958 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* 2 n) PI))) (* (pow (* 2 n) (/ k 2)) (sqrt (sqrt k)))) 1537439704.958 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (* (sqrt (sqrt k)) (pow PI (/ k 2)))) (/ (cbrt (sqrt (* (* 2 n) PI))) (* (pow (* 2 n) (/ k 2)) (sqrt (sqrt k)))))) 1537439704.958 * * * * [misc]progress: [ 64 / 156 ] simplifiying candidate # 1537439704.958 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (pow PI (/ k 2))) 1) 1537439704.960 * * [misc]simplify: iters left: 6 (15 enodes) 1537439704.966 * * [misc]simplify: iters left: 5 (26 enodes) 1537439704.976 * * [misc]simplify: iters left: 4 (40 enodes) 1537439704.994 * * [misc]simplify: iters left: 3 (65 enodes) 1537439705.032 * * [misc]simplify: iters left: 2 (146 enodes) 1537439705.088 * * [misc]simplify: iters left: 1 (150 enodes) 1537439705.108 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (pow PI (/ k 2)) (cbrt (sqrt (* (* 2 n) PI))))) 1537439705.108 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (pow PI (/ k 2)) (cbrt (sqrt (* (* 2 n) PI))))) (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (pow (* n 2) (/ k 2))) (sqrt k)))) 1537439705.108 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (pow (* n 2) (/ k 2))) (sqrt k)) 1537439705.110 * * [misc]simplify: iters left: 6 (14 enodes) 1537439705.115 * * [misc]simplify: iters left: 5 (21 enodes) 1537439705.123 * * [misc]simplify: iters left: 4 (30 enodes) 1537439705.133 * * [misc]simplify: iters left: 3 (32 enodes) 1537439705.144 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* 2 n) PI))) (* (sqrt k) (pow (* 2 n) (/ k 2)))) 1537439705.144 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (pow PI (/ k 2)) (cbrt (sqrt (* (* 2 n) PI))))) (/ (cbrt (sqrt (* (* 2 n) PI))) (* (sqrt k) (pow (* 2 n) (/ k 2)))))) 1537439705.144 * * * * [misc]progress: [ 65 / 156 ] simplifiying candidate # 1537439705.144 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537439705.146 * * [misc]simplify: iters left: 6 (19 enodes) 1537439705.155 * * [misc]simplify: iters left: 5 (34 enodes) 1537439705.164 * * [misc]simplify: iters left: 4 (71 enodes) 1537439705.181 * * [misc]simplify: iters left: 3 (140 enodes) 1537439705.244 * * [misc]simplify: iters left: 2 (249 enodes) 1537439705.373 * * [misc]simplify: iters left: 1 (308 enodes) 1537439705.578 * [exit]simplify: Simplified to (* (/ (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) (/ (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (/ k 2))))) 1537439705.578 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) (/ (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (/ k 2))))) (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k))))) 1537439705.578 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k))) 1537439705.580 * * [misc]simplify: iters left: 6 (16 enodes) 1537439705.586 * * [misc]simplify: iters left: 5 (23 enodes) 1537439705.594 * * [misc]simplify: iters left: 4 (32 enodes) 1537439705.605 * * [misc]simplify: iters left: 3 (33 enodes) 1537439705.617 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) 1537439705.617 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) (/ (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (/ k 2))))) (/ (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))))) 1537439705.617 * * * * [misc]progress: [ 66 / 156 ] simplifiying candidate # 1537439705.618 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))) (sqrt (sqrt k))) 1537439705.619 * * [misc]simplify: iters left: 6 (18 enodes) 1537439705.628 * * [misc]simplify: iters left: 5 (31 enodes) 1537439705.642 * * [misc]simplify: iters left: 4 (57 enodes) 1537439705.665 * * [misc]simplify: iters left: 3 (89 enodes) 1537439705.692 * * [misc]simplify: iters left: 2 (122 enodes) 1537439705.713 * * [misc]simplify: iters left: 1 (139 enodes) 1537439705.749 * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (pow (* (* 2 n) PI) (/ k 2))))) (sqrt (sqrt k))) 1537439705.749 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (pow (* (* 2 n) PI) (/ k 2))))) (sqrt (sqrt k))) (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k))))) 1537439705.750 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k))) 1537439705.752 * * [misc]simplify: iters left: 6 (16 enodes) 1537439705.758 * * [misc]simplify: iters left: 5 (23 enodes) 1537439705.766 * * [misc]simplify: iters left: 4 (32 enodes) 1537439705.776 * * [misc]simplify: iters left: 3 (33 enodes) 1537439705.789 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) 1537439705.789 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (pow (* (* 2 n) PI) (/ k 2))))) (sqrt (sqrt k))) (/ (/ (cbrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))))) 1537439705.790 * * * * [misc]progress: [ 67 / 156 ] simplifiying candidate # 1537439705.790 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))) 1) 1537439705.791 * * [misc]simplify: iters left: 6 (17 enodes) 1537439705.799 * * [misc]simplify: iters left: 5 (32 enodes) 1537439705.813 * * [misc]simplify: iters left: 4 (57 enodes) 1537439705.839 * * [misc]simplify: iters left: 3 (96 enodes) 1537439705.890 * * [misc]simplify: iters left: 2 (280 enodes) 1537439706.035 * * [misc]simplify: iters left: 1 (343 enodes) 1537439706.090 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (pow (* (* 2 n) PI) (/ k 2))))) 1537439706.090 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (pow (* (* 2 n) PI) (/ k 2))))) (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt k)))) 1537439706.090 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt k)) 1537439706.092 * * [misc]simplify: iters left: 6 (15 enodes) 1537439706.098 * * [misc]simplify: iters left: 5 (22 enodes) 1537439706.106 * * [misc]simplify: iters left: 4 (31 enodes) 1537439706.115 * * [misc]simplify: iters left: 3 (32 enodes) 1537439706.129 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* 2 n) PI))) (* (cbrt (pow (* (* 2 n) PI) (/ k 2))) (sqrt k))) 1537439706.129 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (pow (* (* 2 n) PI) (/ k 2))))) (/ (cbrt (sqrt (* (* 2 n) PI))) (* (cbrt (pow (* (* 2 n) PI) (/ k 2))) (sqrt k))))) 1537439706.129 * * * * [misc]progress: [ 68 / 156 ] simplifiying candidate # 1537439706.130 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537439706.132 * * [misc]simplify: iters left: 6 (18 enodes) 1537439706.140 * * [misc]simplify: iters left: 5 (29 enodes) 1537439706.152 * * [misc]simplify: iters left: 4 (49 enodes) 1537439706.174 * * [misc]simplify: iters left: 3 (85 enodes) 1537439706.208 * * [misc]simplify: iters left: 2 (123 enodes) 1537439706.250 * * [misc]simplify: iters left: 1 (142 enodes) 1537439706.317 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (* (sqrt (pow (* (* 2 n) PI) (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1537439706.318 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (* (sqrt (pow (* (* 2 n) PI) (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k))))) 1537439706.318 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k))) 1537439706.320 * * [misc]simplify: iters left: 6 (16 enodes) 1537439706.326 * * [misc]simplify: iters left: 5 (23 enodes) 1537439706.334 * * [misc]simplify: iters left: 4 (32 enodes) 1537439706.343 * * [misc]simplify: iters left: 3 (33 enodes) 1537439706.354 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ k 2)))) 1537439706.354 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (* (sqrt (pow (* (* 2 n) PI) (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ k 2)))))) 1537439706.354 * * * * [misc]progress: [ 69 / 156 ] simplifiying candidate # 1537439706.354 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k))) 1537439706.356 * * [misc]simplify: iters left: 6 (17 enodes) 1537439706.363 * * [misc]simplify: iters left: 5 (26 enodes) 1537439706.373 * * [misc]simplify: iters left: 4 (41 enodes) 1537439706.390 * * [misc]simplify: iters left: 3 (55 enodes) 1537439706.408 * * [misc]simplify: iters left: 2 (63 enodes) 1537439706.424 * * [misc]simplify: iters left: 1 (66 enodes) 1537439706.453 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2 n) PI) (/ k 2))) (cbrt (sqrt (* (* 2 n) PI))))) 1537439706.453 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (cbrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2 n) PI) (/ k 2))) (cbrt (sqrt (* (* 2 n) PI))))) (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k))))) 1537439706.453 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k))) 1537439706.455 * * [misc]simplify: iters left: 6 (16 enodes) 1537439706.461 * * [misc]simplify: iters left: 5 (23 enodes) 1537439706.470 * * [misc]simplify: iters left: 4 (32 enodes) 1537439706.479 * * [misc]simplify: iters left: 3 (33 enodes) 1537439706.492 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ k 2)))) 1537439706.492 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (cbrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2 n) PI) (/ k 2))) (cbrt (sqrt (* (* 2 n) PI))))) (/ (/ (cbrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ k 2)))))) 1537439706.492 * * * * [misc]progress: [ 70 / 156 ] simplifiying candidate # 1537439706.492 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (sqrt (pow (* PI (* n 2)) (/ k 2)))) 1) 1537439706.494 * * [misc]simplify: iters left: 6 (16 enodes) 1537439706.501 * * [misc]simplify: iters left: 5 (27 enodes) 1537439706.511 * * [misc]simplify: iters left: 4 (41 enodes) 1537439706.531 * * [misc]simplify: iters left: 3 (66 enodes) 1537439706.566 * * [misc]simplify: iters left: 2 (146 enodes) 1537439706.619 * * [misc]simplify: iters left: 1 (150 enodes) 1537439706.630 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (sqrt (pow (* (* 2 n) PI) (/ k 2))) (cbrt (sqrt (* (* 2 n) PI))))) 1537439706.630 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (sqrt (pow (* (* 2 n) PI) (/ k 2))) (cbrt (sqrt (* (* 2 n) PI))))) (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt k)))) 1537439706.630 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt k)) 1537439706.631 * * [misc]simplify: iters left: 6 (15 enodes) 1537439706.636 * * [misc]simplify: iters left: 5 (22 enodes) 1537439706.640 * * [misc]simplify: iters left: 4 (31 enodes) 1537439706.645 * * [misc]simplify: iters left: 3 (32 enodes) 1537439706.651 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* 2 n) PI))) (* (sqrt (pow (* (* 2 n) PI) (/ k 2))) (sqrt k))) 1537439706.651 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (sqrt (pow (* (* 2 n) PI) (/ k 2))) (cbrt (sqrt (* (* 2 n) PI))))) (/ (cbrt (sqrt (* (* 2 n) PI))) (* (sqrt (pow (* (* 2 n) PI) (/ k 2))) (sqrt k))))) 1537439706.651 * * * * [misc]progress: [ 71 / 156 ] simplifiying candidate # 1537439706.651 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537439706.652 * * [misc]simplify: iters left: 6 (16 enodes) 1537439706.657 * * [misc]simplify: iters left: 5 (29 enodes) 1537439706.664 * * [misc]simplify: iters left: 4 (57 enodes) 1537439706.688 * * [misc]simplify: iters left: 3 (124 enodes) 1537439706.782 * * [misc]simplify: iters left: 2 (335 enodes) 1537439707.123 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k))) (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k)))) 1537439707.123 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k))) (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k)))) (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) (/ k 2))) (cbrt (sqrt k))))) 1537439707.124 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) (/ k 2))) (cbrt (sqrt k))) 1537439707.125 * * [misc]simplify: iters left: 6 (15 enodes) 1537439707.132 * * [misc]simplify: iters left: 5 (22 enodes) 1537439707.142 * * [misc]simplify: iters left: 4 (31 enodes) 1537439707.151 * * [misc]simplify: iters left: 3 (32 enodes) 1537439707.162 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* 2 n) PI))) (* (pow (* (* 2 n) PI) (/ k 2)) (cbrt (sqrt k)))) 1537439707.162 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k))) (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k)))) (/ (cbrt (sqrt (* (* 2 n) PI))) (* (pow (* (* 2 n) PI) (/ k 2)) (cbrt (sqrt k)))))) 1537439707.162 * * * * [misc]progress: [ 72 / 156 ] simplifiying candidate # 1537439707.163 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) 1) (sqrt (sqrt k))) 1537439707.164 * * [misc]simplify: iters left: 6 (15 enodes) 1537439707.167 * * [misc]simplify: iters left: 5 (26 enodes) 1537439707.173 * * [misc]simplify: iters left: 4 (45 enodes) 1537439707.184 * * [misc]simplify: iters left: 3 (89 enodes) 1537439707.211 * * [misc]simplify: iters left: 2 (196 enodes) 1537439707.251 * * [misc]simplify: iters left: 1 (301 enodes) 1537439707.330 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (sqrt (sqrt k))) 1537439707.330 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (sqrt (sqrt k))) (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k))))) 1537439707.331 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k))) 1537439707.332 * * [misc]simplify: iters left: 6 (15 enodes) 1537439707.338 * * [misc]simplify: iters left: 5 (22 enodes) 1537439707.347 * * [misc]simplify: iters left: 4 (31 enodes) 1537439707.356 * * [misc]simplify: iters left: 3 (32 enodes) 1537439707.367 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* 2 n) PI))) (* (pow (* (* 2 n) PI) (/ k 2)) (sqrt (sqrt k)))) 1537439707.367 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (sqrt (sqrt k))) (/ (cbrt (sqrt (* (* 2 n) PI))) (* (pow (* (* 2 n) PI) (/ k 2)) (sqrt (sqrt k)))))) 1537439707.367 * * * * [misc]progress: [ 73 / 156 ] simplifiying candidate # 1537439707.367 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) 1) 1) 1537439707.369 * * [misc]simplify: iters left: 6 (12 enodes) 1537439707.374 * * [misc]simplify: iters left: 5 (21 enodes) 1537439707.381 * * [misc]simplify: iters left: 4 (29 enodes) 1537439707.393 * * [misc]simplify: iters left: 3 (43 enodes) 1537439707.408 * * [misc]simplify: iters left: 2 (72 enodes) 1537439707.429 * [exit]simplify: Simplified to (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) 1537439707.429 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))) 1537439707.429 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)) 1537439707.430 * * [misc]simplify: iters left: 6 (14 enodes) 1537439707.433 * * [misc]simplify: iters left: 5 (21 enodes) 1537439707.437 * * [misc]simplify: iters left: 4 (30 enodes) 1537439707.442 * * [misc]simplify: iters left: 3 (32 enodes) 1537439707.448 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* 2 n) PI))) (* (sqrt k) (pow (* (* 2 n) PI) (/ k 2)))) 1537439707.448 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (cbrt (sqrt (* (* 2 n) PI))) (* (sqrt k) (pow (* (* 2 n) PI) (/ k 2)))))) 1537439707.448 * * * * [misc]progress: [ 74 / 156 ] simplifiying candidate # 1537439707.448 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow PI (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537439707.449 * * [misc]simplify: iters left: 6 (16 enodes) 1537439707.452 * * [misc]simplify: iters left: 5 (25 enodes) 1537439707.457 * * [misc]simplify: iters left: 4 (37 enodes) 1537439707.463 * * [misc]simplify: iters left: 3 (44 enodes) 1537439707.469 * * [misc]simplify: iters left: 2 (45 enodes) 1537439707.478 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (* (* (pow PI (/ k 2)) (cbrt (sqrt k))) (cbrt (sqrt k)))) 1537439707.478 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (sqrt (* (* 2 n) PI))) (* (* (pow PI (/ k 2)) (cbrt (sqrt k))) (cbrt (sqrt k)))) (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow (* n 2) (/ k 2))) (cbrt (sqrt k))))) 1537439707.479 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow (* n 2) (/ k 2))) (cbrt (sqrt k))) 1537439707.480 * * [misc]simplify: iters left: 6 (15 enodes) 1537439707.486 * * [misc]simplify: iters left: 5 (22 enodes) 1537439707.494 * * [misc]simplify: iters left: 4 (31 enodes) 1537439707.503 * * [misc]simplify: iters left: 3 (32 enodes) 1537439707.515 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (* (pow (* 2 n) (/ k 2)) (cbrt (sqrt k)))) 1537439707.515 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (sqrt (* (* 2 n) PI))) (* (* (pow PI (/ k 2)) (cbrt (sqrt k))) (cbrt (sqrt k)))) (/ (sqrt (sqrt (* (* 2 n) PI))) (* (pow (* 2 n) (/ k 2)) (cbrt (sqrt k)))))) 1537439707.515 * * * * [misc]progress: [ 75 / 156 ] simplifiying candidate # 1537439707.515 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow PI (/ k 2))) (sqrt (sqrt k))) 1537439707.516 * * [misc]simplify: iters left: 6 (15 enodes) 1537439707.522 * * [misc]simplify: iters left: 5 (22 enodes) 1537439707.530 * * [misc]simplify: iters left: 4 (31 enodes) 1537439707.540 * * [misc]simplify: iters left: 3 (32 enodes) 1537439707.552 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (* (pow PI (/ k 2)) (sqrt (sqrt k)))) 1537439707.552 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (sqrt (* (* 2 n) PI))) (* (pow PI (/ k 2)) (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow (* n 2) (/ k 2))) (sqrt (sqrt k))))) 1537439707.552 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow (* n 2) (/ k 2))) (sqrt (sqrt k))) 1537439707.554 * * [misc]simplify: iters left: 6 (15 enodes) 1537439707.560 * * [misc]simplify: iters left: 5 (22 enodes) 1537439707.568 * * [misc]simplify: iters left: 4 (31 enodes) 1537439707.577 * * [misc]simplify: iters left: 3 (32 enodes) 1537439707.585 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (* (pow (* 2 n) (/ k 2)) (sqrt (sqrt k)))) 1537439707.586 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (sqrt (* (* 2 n) PI))) (* (pow PI (/ k 2)) (sqrt (sqrt k)))) (/ (sqrt (sqrt (* (* 2 n) PI))) (* (pow (* 2 n) (/ k 2)) (sqrt (sqrt k)))))) 1537439707.586 * * * * [misc]progress: [ 76 / 156 ] simplifiying candidate # 1537439707.586 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow PI (/ k 2))) 1) 1537439707.586 * * [misc]simplify: iters left: 6 (14 enodes) 1537439707.589 * * [misc]simplify: iters left: 5 (23 enodes) 1537439707.596 * * [misc]simplify: iters left: 4 (32 enodes) 1537439707.606 * * [misc]simplify: iters left: 3 (37 enodes) 1537439707.615 * * [misc]simplify: iters left: 2 (38 enodes) 1537439707.624 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (pow PI (/ k 2))) 1537439707.624 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (sqrt (* (* 2 n) PI))) (pow PI (/ k 2))) (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow (* n 2) (/ k 2))) (sqrt k)))) 1537439707.625 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow (* n 2) (/ k 2))) (sqrt k)) 1537439707.626 * * [misc]simplify: iters left: 6 (14 enodes) 1537439707.629 * * [misc]simplify: iters left: 5 (21 enodes) 1537439707.635 * * [misc]simplify: iters left: 4 (30 enodes) 1537439707.640 * * [misc]simplify: iters left: 3 (32 enodes) 1537439707.645 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (* (sqrt k) (pow (* 2 n) (/ k 2)))) 1537439707.645 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (sqrt (* (* 2 n) PI))) (pow PI (/ k 2))) (/ (sqrt (sqrt (* (* 2 n) PI))) (* (sqrt k) (pow (* 2 n) (/ k 2)))))) 1537439707.645 * * * * [misc]progress: [ 77 / 156 ] simplifiying candidate # 1537439707.645 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537439707.646 * * [misc]simplify: iters left: 6 (18 enodes) 1537439707.653 * * [misc]simplify: iters left: 5 (29 enodes) 1537439707.665 * * [misc]simplify: iters left: 4 (45 enodes) 1537439707.679 * * [misc]simplify: iters left: 3 (60 enodes) 1537439707.689 * * [misc]simplify: iters left: 2 (72 enodes) 1537439707.698 * * [misc]simplify: iters left: 1 (75 enodes) 1537439707.712 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (* (* 2 n) PI))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) (* (cbrt (pow (* (* 2 n) PI) (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1537439707.712 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (sqrt (* (* 2 n) PI))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) (* (cbrt (pow (* (* 2 n) PI) (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k))))) 1537439707.713 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k))) 1537439707.715 * * [misc]simplify: iters left: 6 (16 enodes) 1537439707.718 * * [misc]simplify: iters left: 5 (23 enodes) 1537439707.722 * * [misc]simplify: iters left: 4 (32 enodes) 1537439707.729 * * [misc]simplify: iters left: 3 (33 enodes) 1537439707.735 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) 1537439707.735 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (sqrt (* (* 2 n) PI))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) (* (cbrt (pow (* (* 2 n) PI) (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (sqrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))))) 1537439707.735 * * * * [misc]progress: [ 78 / 156 ] simplifiying candidate # 1537439707.735 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))) (sqrt (sqrt k))) 1537439707.737 * * [misc]simplify: iters left: 6 (17 enodes) 1537439707.740 * * [misc]simplify: iters left: 5 (26 enodes) 1537439707.745 * * [misc]simplify: iters left: 4 (37 enodes) 1537439707.751 * * [misc]simplify: iters left: 3 (42 enodes) 1537439707.758 * * [misc]simplify: iters left: 2 (48 enodes) 1537439707.768 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (* (* 2 n) PI))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) (* (cbrt (pow (* (* 2 n) PI) (/ k 2))) (sqrt (sqrt k)))) 1537439707.768 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (sqrt (* (* 2 n) PI))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) (* (cbrt (pow (* (* 2 n) PI) (/ k 2))) (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k))))) 1537439707.768 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k))) 1537439707.769 * * [misc]simplify: iters left: 6 (16 enodes) 1537439707.773 * * [misc]simplify: iters left: 5 (23 enodes) 1537439707.777 * * [misc]simplify: iters left: 4 (32 enodes) 1537439707.782 * * [misc]simplify: iters left: 3 (33 enodes) 1537439707.789 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) 1537439707.790 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (sqrt (* (* 2 n) PI))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) (* (cbrt (pow (* (* 2 n) PI) (/ k 2))) (sqrt (sqrt k)))) (/ (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))))) 1537439707.790 * * * * [misc]progress: [ 79 / 156 ] simplifiying candidate # 1537439707.790 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))) 1) 1537439707.791 * * [misc]simplify: iters left: 6 (16 enodes) 1537439707.794 * * [misc]simplify: iters left: 5 (27 enodes) 1537439707.803 * * [misc]simplify: iters left: 4 (38 enodes) 1537439707.816 * * [misc]simplify: iters left: 3 (44 enodes) 1537439707.828 * * [misc]simplify: iters left: 2 (49 enodes) 1537439707.841 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (* (* 2 n) PI))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) 1537439707.841 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (sqrt (* (* 2 n) PI))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt k)))) 1537439707.841 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt k)) 1537439707.842 * * [misc]simplify: iters left: 6 (15 enodes) 1537439707.848 * * [misc]simplify: iters left: 5 (22 enodes) 1537439707.856 * * [misc]simplify: iters left: 4 (31 enodes) 1537439707.866 * * [misc]simplify: iters left: 3 (32 enodes) 1537439707.878 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (* (cbrt (pow (* (* 2 n) PI) (/ k 2))) (sqrt k))) 1537439707.878 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (sqrt (* (* 2 n) PI))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) (/ (sqrt (sqrt (* (* 2 n) PI))) (* (cbrt (pow (* (* 2 n) PI) (/ k 2))) (sqrt k))))) 1537439707.878 * * * * [misc]progress: [ 80 / 156 ] simplifiying candidate # 1537439707.878 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537439707.880 * * [misc]simplify: iters left: 6 (17 enodes) 1537439707.887 * * [misc]simplify: iters left: 5 (26 enodes) 1537439707.892 * * [misc]simplify: iters left: 4 (38 enodes) 1537439707.898 * * [misc]simplify: iters left: 3 (44 enodes) 1537439707.906 * * [misc]simplify: iters left: 2 (45 enodes) 1537439707.915 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (* (* PI 2) n))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow (* (* PI 2) n) (/ k 2)))) 1537439707.915 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (sqrt (* (* PI 2) n))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow (* (* PI 2) n) (/ k 2)))) (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k))))) 1537439707.915 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k))) 1537439707.916 * * [misc]simplify: iters left: 6 (16 enodes) 1537439707.919 * * [misc]simplify: iters left: 5 (23 enodes) 1537439707.923 * * [misc]simplify: iters left: 4 (32 enodes) 1537439707.928 * * [misc]simplify: iters left: 3 (33 enodes) 1537439707.934 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ k 2)))) 1537439707.934 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (sqrt (* (* PI 2) n))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow (* (* PI 2) n) (/ k 2)))) (/ (/ (sqrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ k 2)))))) 1537439707.934 * * * * [misc]progress: [ 81 / 156 ] simplifiying candidate # 1537439707.934 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k))) 1537439707.935 * * [misc]simplify: iters left: 6 (16 enodes) 1537439707.938 * * [misc]simplify: iters left: 5 (23 enodes) 1537439707.943 * * [misc]simplify: iters left: 4 (32 enodes) 1537439707.948 * * [misc]simplify: iters left: 3 (33 enodes) 1537439707.954 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ k 2)))) 1537439707.954 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ k 2)))) (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k))))) 1537439707.955 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k))) 1537439707.956 * * [misc]simplify: iters left: 6 (16 enodes) 1537439707.959 * * [misc]simplify: iters left: 5 (23 enodes) 1537439707.963 * * [misc]simplify: iters left: 4 (32 enodes) 1537439707.969 * * [misc]simplify: iters left: 3 (33 enodes) 1537439707.980 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ k 2)))) 1537439707.980 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ k 2)))) (/ (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ k 2)))))) 1537439707.980 * * * * [misc]progress: [ 82 / 156 ] simplifiying candidate # 1537439707.981 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) 1) 1537439707.982 * * [misc]simplify: iters left: 6 (15 enodes) 1537439707.988 * * [misc]simplify: iters left: 5 (24 enodes) 1537439707.997 * * [misc]simplify: iters left: 4 (33 enodes) 1537439708.009 * * [misc]simplify: iters left: 3 (39 enodes) 1537439708.018 * * [misc]simplify: iters left: 2 (40 enodes) 1537439708.028 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (pow (* (* 2 n) PI) (/ k 2)))) 1537439708.028 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (pow (* (* 2 n) PI) (/ k 2)))) (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt k)))) 1537439708.029 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt k)) 1537439708.030 * * [misc]simplify: iters left: 6 (15 enodes) 1537439708.036 * * [misc]simplify: iters left: 5 (22 enodes) 1537439708.044 * * [misc]simplify: iters left: 4 (31 enodes) 1537439708.053 * * [misc]simplify: iters left: 3 (32 enodes) 1537439708.058 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (* (sqrt (pow (* (* 2 n) PI) (/ k 2))) (sqrt k))) 1537439708.059 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (pow (* (* 2 n) PI) (/ k 2)))) (/ (sqrt (sqrt (* (* 2 n) PI))) (* (sqrt (pow (* (* 2 n) PI) (/ k 2))) (sqrt k))))) 1537439708.059 * * * * [misc]progress: [ 83 / 156 ] simplifiying candidate # 1537439708.059 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537439708.060 * * [misc]simplify: iters left: 6 (15 enodes) 1537439708.063 * * [misc]simplify: iters left: 5 (26 enodes) 1537439708.069 * * [misc]simplify: iters left: 4 (40 enodes) 1537439708.076 * * [misc]simplify: iters left: 3 (50 enodes) 1537439708.084 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* PI 2) n))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537439708.085 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (sqrt (* (* PI 2) n))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) (/ k 2))) (cbrt (sqrt k))))) 1537439708.085 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) (/ k 2))) (cbrt (sqrt k))) 1537439708.086 * * [misc]simplify: iters left: 6 (15 enodes) 1537439708.089 * * [misc]simplify: iters left: 5 (22 enodes) 1537439708.093 * * [misc]simplify: iters left: 4 (31 enodes) 1537439708.098 * * [misc]simplify: iters left: 3 (32 enodes) 1537439708.107 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (* (pow (* (* 2 n) PI) (/ k 2)) (cbrt (sqrt k)))) 1537439708.107 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (sqrt (* (* PI 2) n))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (sqrt (* (* 2 n) PI))) (* (pow (* (* 2 n) PI) (/ k 2)) (cbrt (sqrt k)))))) 1537439708.107 * * * * [misc]progress: [ 84 / 156 ] simplifiying candidate # 1537439708.107 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) 1) (sqrt (sqrt k))) 1537439708.109 * * [misc]simplify: iters left: 6 (14 enodes) 1537439708.114 * * [misc]simplify: iters left: 5 (23 enodes) 1537439708.124 * * [misc]simplify: iters left: 4 (34 enodes) 1537439708.133 * * [misc]simplify: iters left: 3 (35 enodes) 1537439708.143 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k))) 1537439708.143 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k))) (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k))))) 1537439708.143 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k))) 1537439708.144 * * [misc]simplify: iters left: 6 (15 enodes) 1537439708.150 * * [misc]simplify: iters left: 5 (22 enodes) 1537439708.158 * * [misc]simplify: iters left: 4 (31 enodes) 1537439708.168 * * [misc]simplify: iters left: 3 (32 enodes) 1537439708.180 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (* (pow (* (* 2 n) PI) (/ k 2)) (sqrt (sqrt k)))) 1537439708.180 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k))) (/ (sqrt (sqrt (* (* 2 n) PI))) (* (pow (* (* 2 n) PI) (/ k 2)) (sqrt (sqrt k)))))) 1537439708.180 * * * * [misc]progress: [ 85 / 156 ] simplifiying candidate # 1537439708.180 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) 1) 1) 1537439708.181 * * [misc]simplify: iters left: 6 (11 enodes) 1537439708.186 * * [misc]simplify: iters left: 5 (18 enodes) 1537439708.192 * * [misc]simplify: iters left: 4 (24 enodes) 1537439708.197 * * [misc]simplify: iters left: 3 (26 enodes) 1537439708.200 * [exit]simplify: Simplified to (sqrt (sqrt (* (* 2 n) PI))) 1537439708.200 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (sqrt (* (* 2 n) PI))) (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))) 1537439708.201 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)) 1537439708.201 * * [misc]simplify: iters left: 6 (14 enodes) 1537439708.205 * * [misc]simplify: iters left: 5 (21 enodes) 1537439708.209 * * [misc]simplify: iters left: 4 (30 enodes) 1537439708.214 * * [misc]simplify: iters left: 3 (32 enodes) 1537439708.219 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (* (sqrt k) (pow (* (* 2 n) PI) (/ k 2)))) 1537439708.220 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt (* (* 2 n) PI))) (* (sqrt k) (pow (* (* 2 n) PI) (/ k 2)))))) 1537439708.220 * * * * [misc]progress: [ 86 / 156 ] simplifiying candidate # 1537439708.220 * [enter]simplify: Simplifying (/ (/ 1 (pow PI (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537439708.220 * * [misc]simplify: iters left: 6 (11 enodes) 1537439708.223 * * [misc]simplify: iters left: 5 (17 enodes) 1537439708.229 * * [misc]simplify: iters left: 4 (23 enodes) 1537439708.236 * * [misc]simplify: iters left: 3 (28 enodes) 1537439708.244 * * [misc]simplify: iters left: 2 (29 enodes) 1537439708.254 * [exit]simplify: Simplified to (/ (/ 1 (pow PI (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537439708.254 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (pow PI (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* n 2) (/ k 2))) (cbrt (sqrt k))))) 1537439708.254 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* n 2) (/ k 2))) (cbrt (sqrt k))) 1537439708.255 * * [misc]simplify: iters left: 6 (14 enodes) 1537439708.261 * * [misc]simplify: iters left: 5 (21 enodes) 1537439708.269 * * [misc]simplify: iters left: 4 (30 enodes) 1537439708.277 * * [misc]simplify: iters left: 3 (32 enodes) 1537439708.283 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (pow (* 2 n) (/ k 2)) (cbrt (sqrt k)))) 1537439708.283 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (pow PI (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (* (* 2 n) PI)) (* (pow (* 2 n) (/ k 2)) (cbrt (sqrt k)))))) 1537439708.283 * * * * [misc]progress: [ 87 / 156 ] simplifiying candidate # 1537439708.283 * [enter]simplify: Simplifying (/ (/ 1 (pow PI (/ k 2))) (sqrt (sqrt k))) 1537439708.283 * * [misc]simplify: iters left: 6 (10 enodes) 1537439708.285 * * [misc]simplify: iters left: 5 (14 enodes) 1537439708.287 * * [misc]simplify: iters left: 4 (17 enodes) 1537439708.290 * [exit]simplify: Simplified to (/ (/ 1 (pow PI (/ k 2))) (sqrt (sqrt k))) 1537439708.291 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (pow PI (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* n 2) (/ k 2))) (sqrt (sqrt k))))) 1537439708.291 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* n 2) (/ k 2))) (sqrt (sqrt k))) 1537439708.293 * * [misc]simplify: iters left: 6 (14 enodes) 1537439708.296 * * [misc]simplify: iters left: 5 (21 enodes) 1537439708.300 * * [misc]simplify: iters left: 4 (30 enodes) 1537439708.305 * * [misc]simplify: iters left: 3 (32 enodes) 1537439708.310 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (pow (* 2 n) (/ k 2)) (sqrt (sqrt k)))) 1537439708.310 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (pow PI (/ k 2))) (sqrt (sqrt k))) (/ (sqrt (* (* 2 n) PI)) (* (pow (* 2 n) (/ k 2)) (sqrt (sqrt k)))))) 1537439708.310 * * * * [misc]progress: [ 88 / 156 ] simplifiying candidate # 1537439708.310 * [enter]simplify: Simplifying (/ (/ 1 (pow PI (/ k 2))) 1) 1537439708.311 * * [misc]simplify: iters left: 6 (8 enodes) 1537439708.312 * * [misc]simplify: iters left: 5 (12 enodes) 1537439708.315 * * [misc]simplify: iters left: 4 (15 enodes) 1537439708.318 * * [misc]simplify: iters left: 3 (18 enodes) 1537439708.320 * [exit]simplify: Simplified to (/ 1 (pow PI (/ k 2))) 1537439708.320 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (pow PI (/ k 2))) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* n 2) (/ k 2))) (sqrt k)))) 1537439708.320 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* n 2) (/ k 2))) (sqrt k)) 1537439708.321 * * [misc]simplify: iters left: 6 (13 enodes) 1537439708.327 * * [misc]simplify: iters left: 5 (20 enodes) 1537439708.334 * * [misc]simplify: iters left: 4 (29 enodes) 1537439708.343 * * [misc]simplify: iters left: 3 (31 enodes) 1537439708.354 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* 2 n) (/ k 2)))) 1537439708.354 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (pow PI (/ k 2))) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* 2 n) (/ k 2)))))) 1537439708.354 * * * * [misc]progress: [ 89 / 156 ] simplifiying candidate # 1537439708.354 * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537439708.356 * * [misc]simplify: iters left: 6 (16 enodes) 1537439708.363 * * [misc]simplify: iters left: 5 (28 enodes) 1537439708.369 * * [misc]simplify: iters left: 4 (44 enodes) 1537439708.377 * * [misc]simplify: iters left: 3 (59 enodes) 1537439708.388 * * [misc]simplify: iters left: 2 (71 enodes) 1537439708.397 * * [misc]simplify: iters left: 1 (74 enodes) 1537439708.418 * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ k 2))) (cbrt (pow (* n (* 2 PI)) (/ k 2))))) 1537439708.418 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ k 2))) (cbrt (pow (* n (* 2 PI)) (/ k 2))))) (/ (/ (pow (* PI (* n 2)) 1/2) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k))))) 1537439708.418 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k))) 1537439708.420 * * [misc]simplify: iters left: 6 (15 enodes) 1537439708.425 * * [misc]simplify: iters left: 5 (22 enodes) 1537439708.430 * * [misc]simplify: iters left: 4 (31 enodes) 1537439708.435 * * [misc]simplify: iters left: 3 (32 enodes) 1537439708.440 * [exit]simplify: Simplified to (/ (/ (sqrt (* (* 2 n) PI)) (cbrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) 1537439708.440 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (sqrt (* (* 2 n) PI)) (cbrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))))) 1537439708.441 * * * * [misc]progress: [ 90 / 156 ] simplifiying candidate # 1537439708.441 * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))) (sqrt (sqrt k))) 1537439708.442 * * [misc]simplify: iters left: 6 (15 enodes) 1537439708.445 * * [misc]simplify: iters left: 5 (25 enodes) 1537439708.450 * * [misc]simplify: iters left: 4 (36 enodes) 1537439708.455 * * [misc]simplify: iters left: 3 (40 enodes) 1537439708.461 * * [misc]simplify: iters left: 2 (46 enodes) 1537439708.475 * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (sqrt k))) (cbrt (pow (* n (* 2 PI)) (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (/ k 2)))) 1537439708.475 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (/ 1 (sqrt (sqrt k))) (cbrt (pow (* n (* 2 PI)) (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (/ (pow (* PI (* n 2)) 1/2) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k))))) 1537439708.476 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k))) 1537439708.477 * * [misc]simplify: iters left: 6 (15 enodes) 1537439708.482 * * [misc]simplify: iters left: 5 (22 enodes) 1537439708.489 * * [misc]simplify: iters left: 4 (31 enodes) 1537439708.497 * * [misc]simplify: iters left: 3 (32 enodes) 1537439708.507 * [exit]simplify: Simplified to (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) 1537439708.507 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))) (sqrt (sqrt k))) (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))))) 1537439708.507 * * * * [misc]progress: [ 91 / 156 ] simplifiying candidate # 1537439708.507 * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))) 1) 1537439708.510 * * [misc]simplify: iters left: 6 (13 enodes) 1537439708.515 * * [misc]simplify: iters left: 5 (23 enodes) 1537439708.524 * * [misc]simplify: iters left: 4 (34 enodes) 1537439708.534 * * [misc]simplify: iters left: 3 (39 enodes) 1537439708.542 * * [misc]simplify: iters left: 2 (40 enodes) 1537439708.550 * [exit]simplify: Simplified to (/ 1 (* (cbrt (pow (* (* n PI) 2) (/ k 2))) (cbrt (pow (* (* n PI) 2) (/ k 2))))) 1537439708.551 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (pow (* (* n PI) 2) (/ k 2))) (cbrt (pow (* (* n PI) 2) (/ k 2))))) (/ (/ (pow (* PI (* n 2)) 1/2) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt k)))) 1537439708.551 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt k)) 1537439708.552 * * [misc]simplify: iters left: 6 (14 enodes) 1537439708.557 * * [misc]simplify: iters left: 5 (21 enodes) 1537439708.564 * * [misc]simplify: iters left: 4 (30 enodes) 1537439708.570 * * [misc]simplify: iters left: 3 (32 enodes) 1537439708.576 * [exit]simplify: Simplified to (/ (/ (sqrt (* (* 2 n) PI)) (sqrt k)) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) 1537439708.576 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (pow (* (* n PI) 2) (/ k 2))) (cbrt (pow (* (* n PI) 2) (/ k 2))))) (/ (/ (sqrt (* (* 2 n) PI)) (sqrt k)) (cbrt (pow (* (* 2 n) PI) (/ k 2)))))) 1537439708.576 * * * * [misc]progress: [ 92 / 156 ] simplifiying candidate # 1537439708.576 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537439708.578 * * [misc]simplify: iters left: 6 (15 enodes) 1537439708.582 * * [misc]simplify: iters left: 5 (25 enodes) 1537439708.587 * * [misc]simplify: iters left: 4 (37 enodes) 1537439708.593 * * [misc]simplify: iters left: 3 (43 enodes) 1537439708.601 * * [misc]simplify: iters left: 2 (44 enodes) 1537439708.616 * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ k 2)))) 1537439708.616 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ k 2)))) (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k))))) 1537439708.616 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k))) 1537439708.617 * * [misc]simplify: iters left: 6 (15 enodes) 1537439708.624 * * [misc]simplify: iters left: 5 (22 enodes) 1537439708.632 * * [misc]simplify: iters left: 4 (31 enodes) 1537439708.642 * * [misc]simplify: iters left: 3 (32 enodes) 1537439708.653 * [exit]simplify: Simplified to (/ (/ (sqrt (* (* 2 n) PI)) (cbrt (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ k 2)))) 1537439708.653 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (sqrt (* (* 2 n) PI)) (cbrt (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ k 2)))))) 1537439708.653 * * * * [misc]progress: [ 93 / 156 ] simplifiying candidate # 1537439708.653 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k))) 1537439708.655 * * [misc]simplify: iters left: 6 (14 enodes) 1537439708.660 * * [misc]simplify: iters left: 5 (22 enodes) 1537439708.668 * * [misc]simplify: iters left: 4 (31 enodes) 1537439708.673 * * [misc]simplify: iters left: 3 (32 enodes) 1537439708.678 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt k))) (sqrt (pow (* 2 (* n PI)) (/ k 2)))) 1537439708.678 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (pow (* 2 (* n PI)) (/ k 2)))) (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k))))) 1537439708.678 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k))) 1537439708.679 * * [misc]simplify: iters left: 6 (15 enodes) 1537439708.683 * * [misc]simplify: iters left: 5 (22 enodes) 1537439708.688 * * [misc]simplify: iters left: 4 (31 enodes) 1537439708.693 * * [misc]simplify: iters left: 3 (32 enodes) 1537439708.698 * [exit]simplify: Simplified to (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ k 2)))) 1537439708.698 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k))) (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ k 2)))))) 1537439708.698 * * * * [misc]progress: [ 94 / 156 ] simplifiying candidate # 1537439708.698 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) 1) 1537439708.699 * * [misc]simplify: iters left: 6 (12 enodes) 1537439708.702 * * [misc]simplify: iters left: 5 (20 enodes) 1537439708.706 * * [misc]simplify: iters left: 4 (29 enodes) 1537439708.711 * * [misc]simplify: iters left: 3 (33 enodes) 1537439708.720 * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) 1537439708.720 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt k)))) 1537439708.720 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt k)) 1537439708.722 * * [misc]simplify: iters left: 6 (14 enodes) 1537439708.728 * * [misc]simplify: iters left: 5 (21 enodes) 1537439708.736 * * [misc]simplify: iters left: 4 (30 enodes) 1537439708.745 * * [misc]simplify: iters left: 3 (32 enodes) 1537439708.757 * [exit]simplify: Simplified to (/ (/ (sqrt (* (* 2 n) PI)) (sqrt k)) (sqrt (pow (* (* 2 n) PI) (/ k 2)))) 1537439708.757 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (sqrt (* (* 2 n) PI)) (sqrt k)) (sqrt (pow (* (* 2 n) PI) (/ k 2)))))) 1537439708.757 * * * * [misc]progress: [ 95 / 156 ] simplifiying candidate # 1537439708.757 * [enter]simplify: Simplifying (/ (/ 1 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537439708.758 * * [misc]simplify: iters left: 6 (7 enodes) 1537439708.761 * * [misc]simplify: iters left: 5 (11 enodes) 1537439708.764 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537439708.764 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (cbrt (sqrt k))))) 1537439708.764 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (cbrt (sqrt k))) 1537439708.766 * * [misc]simplify: iters left: 6 (14 enodes) 1537439708.771 * * [misc]simplify: iters left: 5 (21 enodes) 1537439708.780 * * [misc]simplify: iters left: 4 (30 enodes) 1537439708.789 * * [misc]simplify: iters left: 3 (32 enodes) 1537439708.803 * [exit]simplify: Simplified to (/ (/ (sqrt (* (* 2 n) PI)) (cbrt (sqrt k))) (pow (* (* 2 n) PI) (/ k 2))) 1537439708.803 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (sqrt (* (* 2 n) PI)) (cbrt (sqrt k))) (pow (* (* 2 n) PI) (/ k 2))))) 1537439708.803 * * * * [misc]progress: [ 96 / 156 ] simplifiying candidate # 1537439708.804 * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (sqrt k))) 1537439708.804 * * [misc]simplify: iters left: 4 (6 enodes) 1537439708.806 * * [misc]simplify: iters left: 3 (8 enodes) 1537439708.809 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1537439708.809 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k))))) 1537439708.809 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k))) 1537439708.810 * * [misc]simplify: iters left: 6 (14 enodes) 1537439708.816 * * [misc]simplify: iters left: 5 (21 enodes) 1537439708.824 * * [misc]simplify: iters left: 4 (30 enodes) 1537439708.833 * * [misc]simplify: iters left: 3 (32 enodes) 1537439708.843 * [exit]simplify: Simplified to (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k))) (pow (* (* 2 n) PI) (/ k 2))) 1537439708.844 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k))) (pow (* (* 2 n) PI) (/ k 2))))) 1537439708.844 * * * * [misc]progress: [ 97 / 156 ] simplifiying candidate # 1537439708.844 * [enter]simplify: Simplifying (/ (/ 1 1) 1) 1537439708.844 * * [misc]simplify: iters left: 4 (3 enodes) 1537439708.845 * * [misc]simplify: iters left: 3 (5 enodes) 1537439708.846 * [exit]simplify: Simplified to 1 1537439708.846 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))) 1537439708.846 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)) 1537439708.847 * * [misc]simplify: iters left: 6 (13 enodes) 1537439708.852 * * [misc]simplify: iters left: 5 (20 enodes) 1537439708.860 * * [misc]simplify: iters left: 4 (29 enodes) 1537439708.869 * * [misc]simplify: iters left: 3 (31 enodes) 1537439708.880 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* (* 2 n) PI) (/ k 2)))) 1537439708.880 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* (* 2 n) PI) (/ k 2)))))) 1537439708.880 * * * * [misc]progress: [ 98 / 156 ] simplifiying candidate # 1537439708.881 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537439708.882 * * [misc]simplify: iters left: 6 (6 enodes) 1537439708.884 * * [misc]simplify: iters left: 5 (10 enodes) 1537439708.887 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1537439708.887 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (cbrt (sqrt k))))) 1537439708.888 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (cbrt (sqrt k))) 1537439708.889 * * [misc]simplify: iters left: 6 (14 enodes) 1537439708.894 * * [misc]simplify: iters left: 5 (21 enodes) 1537439708.899 * * [misc]simplify: iters left: 4 (30 enodes) 1537439708.903 * * [misc]simplify: iters left: 3 (32 enodes) 1537439708.909 * [exit]simplify: Simplified to (/ (/ (sqrt (* (* 2 n) PI)) (cbrt (sqrt k))) (pow (* (* 2 n) PI) (/ k 2))) 1537439708.909 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (sqrt (* (* 2 n) PI)) (cbrt (sqrt k))) (pow (* (* 2 n) PI) (/ k 2))))) 1537439708.909 * * * * [misc]progress: [ 99 / 156 ] simplifiying candidate # 1537439708.909 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1537439708.910 * * [misc]simplify: iters left: 4 (5 enodes) 1537439708.912 * * [misc]simplify: iters left: 3 (7 enodes) 1537439708.913 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1537439708.913 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k))))) 1537439708.913 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k))) 1537439708.914 * * [misc]simplify: iters left: 6 (14 enodes) 1537439708.916 * * [misc]simplify: iters left: 5 (21 enodes) 1537439708.921 * * [misc]simplify: iters left: 4 (30 enodes) 1537439708.925 * * [misc]simplify: iters left: 3 (32 enodes) 1537439708.931 * [exit]simplify: Simplified to (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k))) (pow (* (* 2 n) PI) (/ k 2))) 1537439708.931 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k))) (pow (* (* 2 n) PI) (/ k 2))))) 1537439708.931 * * * * [misc]progress: [ 100 / 156 ] simplifiying candidate # 1537439708.932 * [enter]simplify: Simplifying (/ 1 1) 1537439708.932 * * [misc]simplify: iters left: 2 (2 enodes) 1537439708.933 * * [misc]simplify: iters left: 1 (4 enodes) 1537439708.934 * [exit]simplify: Simplified to 1 1537439708.934 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))) 1537439708.934 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)) 1537439708.935 * * [misc]simplify: iters left: 6 (13 enodes) 1537439708.940 * * [misc]simplify: iters left: 5 (20 enodes) 1537439708.948 * * [misc]simplify: iters left: 4 (29 enodes) 1537439708.958 * * [misc]simplify: iters left: 3 (31 enodes) 1537439708.969 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* (* 2 n) PI) (/ k 2)))) 1537439708.969 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* (* 2 n) PI) (/ k 2)))))) 1537439708.969 * * * * [misc]progress: [ 101 / 156 ] simplifiying candidate # 1537439708.969 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537439708.970 * * [misc]simplify: iters left: 6 (12 enodes) 1537439708.975 * * [misc]simplify: iters left: 5 (19 enodes) 1537439708.982 * * [misc]simplify: iters left: 4 (25 enodes) 1537439708.991 * * [misc]simplify: iters left: 3 (26 enodes) 1537439708.999 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537439708.999 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (cbrt (sqrt k))))) 1537439708.999 * [enter]simplify: Simplifying (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (cbrt (sqrt k))) 1537439709.001 * * [misc]simplify: iters left: 6 (13 enodes) 1537439709.006 * * [misc]simplify: iters left: 5 (21 enodes) 1537439709.014 * * [misc]simplify: iters left: 4 (30 enodes) 1537439709.023 * * [misc]simplify: iters left: 3 (31 enodes) 1537439709.034 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (pow (* (* n PI) 2) (/ k 2))) 1537439709.034 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ 1 (cbrt (sqrt k))) (pow (* (* n PI) 2) (/ k 2))))) 1537439709.035 * * * * [misc]progress: [ 102 / 156 ] simplifiying candidate # 1537439709.035 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1537439709.036 * * [misc]simplify: iters left: 6 (11 enodes) 1537439709.041 * * [misc]simplify: iters left: 5 (16 enodes) 1537439709.046 * * [misc]simplify: iters left: 4 (22 enodes) 1537439709.053 * * [misc]simplify: iters left: 3 (24 enodes) 1537439709.060 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1537439709.060 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k))))) 1537439709.060 * [enter]simplify: Simplifying (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k))) 1537439709.061 * * [misc]simplify: iters left: 6 (13 enodes) 1537439709.064 * * [misc]simplify: iters left: 5 (21 enodes) 1537439709.068 * * [misc]simplify: iters left: 4 (30 enodes) 1537439709.073 * * [misc]simplify: iters left: 3 (31 enodes) 1537439709.083 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt k))) (pow (* (* n PI) 2) (/ k 2))) 1537439709.083 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) (/ (/ 1 (sqrt (sqrt k))) (pow (* (* n PI) 2) (/ k 2))))) 1537439709.083 * * * * [misc]progress: [ 103 / 156 ] simplifiying candidate # 1537439709.083 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1537439709.084 * * [misc]simplify: iters left: 6 (9 enodes) 1537439709.088 * * [misc]simplify: iters left: 5 (16 enodes) 1537439709.095 * * [misc]simplify: iters left: 4 (24 enodes) 1537439709.102 * * [misc]simplify: iters left: 3 (26 enodes) 1537439709.106 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1537439709.106 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))) 1537439709.106 * [enter]simplify: Simplifying (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt k)) 1537439709.107 * * [misc]simplify: iters left: 6 (12 enodes) 1537439709.110 * * [misc]simplify: iters left: 5 (20 enodes) 1537439709.113 * * [misc]simplify: iters left: 4 (29 enodes) 1537439709.118 * * [misc]simplify: iters left: 3 (30 enodes) 1537439709.123 * [exit]simplify: Simplified to (/ (/ 1 (sqrt k)) (pow (* (* n PI) 2) (/ k 2))) 1537439709.123 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (/ 1 (sqrt k)) (pow (* (* n PI) 2) (/ k 2))))) 1537439709.123 * * * * [misc]progress: [ 104 / 156 ] simplifiying candidate # 1537439709.123 * * * * [misc]progress: [ 105 / 156 ] simplifiying candidate # 1537439709.123 * * * * [misc]progress: [ 106 / 156 ] simplifiying candidate # 1537439709.123 * * * * [misc]progress: [ 107 / 156 ] simplifiying candidate # 1537439709.123 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1537439709.123 * * [misc]simplify: iters left: 2 (3 enodes) 1537439709.124 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1537439709.124 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))) 1537439709.124 * * * * [misc]progress: [ 108 / 156 ] simplifiying candidate # 1537439709.124 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1537439709.124 * * [misc]simplify: iters left: 2 (3 enodes) 1537439709.125 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1537439709.125 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1537439709.125 * * * * [misc]progress: [ 109 / 156 ] simplifiying candidate # 1537439709.126 * [enter]simplify: Simplifying (sqrt k) 1537439709.126 * * [misc]simplify: iters left: 1 (2 enodes) 1537439709.126 * [exit]simplify: Simplified to (sqrt k) 1537439709.126 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) 1) (sqrt k))) 1537439709.127 * * * * [misc]progress: [ 110 / 156 ] simplifiying candidate # 1537439709.127 * [enter]simplify: Simplifying (* (cbrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (cbrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))))) 1537439709.129 * * [misc]simplify: iters left: 6 (13 enodes) 1537439709.136 * * [misc]simplify: iters left: 5 (18 enodes) 1537439709.143 * * [misc]simplify: iters left: 4 (24 enodes) 1537439709.151 * * [misc]simplify: iters left: 3 (25 enodes) 1537439709.160 * [exit]simplify: Simplified to (* (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2))))) 1537439709.160 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2))))) (/ (sqrt k) (cbrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))))))) 1537439709.160 * * * * [misc]progress: [ 111 / 156 ] simplifiying candidate # 1537439709.160 * [enter]simplify: Simplifying (sqrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) 1537439709.161 * * [misc]simplify: iters left: 6 (12 enodes) 1537439709.163 * * [misc]simplify: iters left: 5 (17 enodes) 1537439709.166 * * [misc]simplify: iters left: 4 (23 enodes) 1537439709.170 * * [misc]simplify: iters left: 3 (24 enodes) 1537439709.174 * [exit]simplify: Simplified to (sqrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) 1537439709.174 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (/ (sqrt k) (sqrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))))))) 1537439709.174 * * * * [misc]progress: [ 112 / 156 ] simplifiying candidate # 1537439709.174 * [enter]simplify: Simplifying (/ (pow PI 1/2) (pow PI (/ k 2))) 1537439709.174 * * [misc]simplify: iters left: 5 (8 enodes) 1537439709.176 * * [misc]simplify: iters left: 4 (9 enodes) 1537439709.177 * [exit]simplify: Simplified to (/ (sqrt PI) (pow PI (/ k 2))) 1537439709.177 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (/ (sqrt PI) (pow PI (/ k 2))) (/ (sqrt k) (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2)))))) 1537439709.177 * * * * [misc]progress: [ 113 / 156 ] simplifiying candidate # 1537439709.177 * [enter]simplify: Simplifying (/ (pow PI 1/2) (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))) 1537439709.178 * * [misc]simplify: iters left: 6 (13 enodes) 1537439709.181 * * [misc]simplify: iters left: 5 (20 enodes) 1537439709.185 * * [misc]simplify: iters left: 4 (26 enodes) 1537439709.194 * * [misc]simplify: iters left: 3 (28 enodes) 1537439709.203 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (cbrt (pow (* (* n 2) PI) (/ k 2)))) 1537439709.204 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (/ (/ (sqrt PI) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (/ (sqrt k) (/ (pow (* n 2) 1/2) (cbrt (pow (* PI (* n 2)) (/ k 2))))))) 1537439709.204 * * * * [misc]progress: [ 114 / 156 ] simplifiying candidate # 1537439709.204 * [enter]simplify: Simplifying (/ (pow PI 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) 1537439709.205 * * [misc]simplify: iters left: 6 (12 enodes) 1537439709.210 * * [misc]simplify: iters left: 5 (17 enodes) 1537439709.216 * * [misc]simplify: iters left: 4 (23 enodes) 1537439709.223 * * [misc]simplify: iters left: 3 (24 enodes) 1537439709.231 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (pow (* 2 (* n PI)) (/ k 2)))) 1537439709.231 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (/ (sqrt PI) (sqrt (pow (* 2 (* n PI)) (/ k 2)))) (/ (sqrt k) (/ (pow (* n 2) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))))) 1537439709.232 * * * * [misc]progress: [ 115 / 156 ] simplifiying candidate # 1537439709.232 * [enter]simplify: Simplifying (/ (pow PI 1/2) 1) 1537439709.232 * * [misc]simplify: iters left: 3 (5 enodes) 1537439709.234 * * [misc]simplify: iters left: 2 (8 enodes) 1537439709.237 * * [misc]simplify: iters left: 1 (10 enodes) 1537439709.240 * [exit]simplify: Simplified to (sqrt PI) 1537439709.240 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (/ (sqrt k) (/ (pow (* n 2) 1/2) (pow (* PI (* n 2)) (/ k 2)))))) 1537439709.240 * * * * [misc]progress: [ 116 / 156 ] simplifiying candidate # 1537439709.240 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (pow PI (/ k 2))) 1537439709.241 * * [misc]simplify: iters left: 6 (13 enodes) 1537439709.249 * * [misc]simplify: iters left: 5 (20 enodes) 1537439709.256 * * [misc]simplify: iters left: 4 (28 enodes) 1537439709.265 * * [misc]simplify: iters left: 3 (31 enodes) 1537439709.277 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (pow PI (/ k 2)) (cbrt (sqrt (* (* 2 n) PI))))) 1537439709.277 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (pow PI (/ k 2)) (cbrt (sqrt (* (* 2 n) PI))))) (/ (sqrt k) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (pow (* n 2) (/ k 2)))))) 1537439709.277 * * * * [misc]progress: [ 117 / 156 ] simplifiying candidate # 1537439709.278 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))) 1537439709.279 * * [misc]simplify: iters left: 6 (15 enodes) 1537439709.286 * * [misc]simplify: iters left: 5 (26 enodes) 1537439709.296 * * [misc]simplify: iters left: 4 (41 enodes) 1537439709.310 * * [misc]simplify: iters left: 3 (45 enodes) 1537439709.324 * * [misc]simplify: iters left: 2 (48 enodes) 1537439709.343 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (* (* PI 2) n))) (cbrt (pow (* (* PI 2) n) (/ k 2)))) (/ (cbrt (sqrt (* (* PI 2) n))) (cbrt (pow (* (* PI 2) n) (/ k 2))))) 1537439709.343 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (/ (cbrt (sqrt (* (* PI 2) n))) (cbrt (pow (* (* PI 2) n) (/ k 2)))) (/ (cbrt (sqrt (* (* PI 2) n))) (cbrt (pow (* (* PI 2) n) (/ k 2))))) (/ (sqrt k) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) (/ k 2))))))) 1537439709.343 * * * * [misc]progress: [ 118 / 156 ] simplifiying candidate # 1537439709.344 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (sqrt (pow (* PI (* n 2)) (/ k 2)))) 1537439709.345 * * [misc]simplify: iters left: 6 (14 enodes) 1537439709.350 * * [misc]simplify: iters left: 5 (21 enodes) 1537439709.358 * * [misc]simplify: iters left: 4 (29 enodes) 1537439709.368 * * [misc]simplify: iters left: 3 (32 enodes) 1537439709.381 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (sqrt (pow (* (* 2 n) PI) (/ k 2)))) 1537439709.381 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (sqrt (pow (* (* 2 n) PI) (/ k 2)))) (/ (sqrt k) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2))))))) 1537439709.381 * * * * [misc]progress: [ 119 / 156 ] simplifiying candidate # 1537439709.381 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) 1) 1537439709.384 * * [misc]simplify: iters left: 6 (11 enodes) 1537439709.389 * * [misc]simplify: iters left: 5 (20 enodes) 1537439709.397 * * [misc]simplify: iters left: 4 (32 enodes) 1537439709.409 * * [misc]simplify: iters left: 3 (48 enodes) 1537439709.419 * * [misc]simplify: iters left: 2 (74 enodes) 1537439709.429 * [exit]simplify: Simplified to (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) 1537439709.429 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (sqrt k) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) (/ k 2)))))) 1537439709.429 * * * * [misc]progress: [ 120 / 156 ] simplifiying candidate # 1537439709.429 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow PI (/ k 2))) 1537439709.430 * * [misc]simplify: iters left: 6 (12 enodes) 1537439709.432 * * [misc]simplify: iters left: 5 (17 enodes) 1537439709.436 * * [misc]simplify: iters left: 4 (23 enodes) 1537439709.439 * * [misc]simplify: iters left: 3 (24 enodes) 1537439709.443 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (pow PI (/ k 2))) 1537439709.443 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (/ (sqrt (sqrt (* (* 2 n) PI))) (pow PI (/ k 2))) (/ (sqrt k) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow (* n 2) (/ k 2)))))) 1537439709.444 * * * * [misc]progress: [ 121 / 156 ] simplifiying candidate # 1537439709.444 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) 1/2)) (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))) 1537439709.445 * * [misc]simplify: iters left: 6 (14 enodes) 1537439709.447 * * [misc]simplify: iters left: 5 (21 enodes) 1537439709.451 * * [misc]simplify: iters left: 4 (27 enodes) 1537439709.459 * * [misc]simplify: iters left: 3 (29 enodes) 1537439709.470 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (* (* 2 n) PI))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) 1537439709.470 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (/ (/ (sqrt (sqrt (* (* 2 n) PI))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) (/ (sqrt k) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) (/ k 2))))))) 1537439709.470 * * * * [misc]progress: [ 122 / 156 ] simplifiying candidate # 1537439709.470 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) 1537439709.471 * * [misc]simplify: iters left: 6 (13 enodes) 1537439709.476 * * [misc]simplify: iters left: 5 (18 enodes) 1537439709.485 * * [misc]simplify: iters left: 4 (24 enodes) 1537439709.490 * * [misc]simplify: iters left: 3 (25 enodes) 1537439709.494 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (pow (* (* 2 n) PI) (/ k 2)))) 1537439709.494 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (pow (* (* 2 n) PI) (/ k 2)))) (/ (sqrt k) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2))))))) 1537439709.494 * * * * [misc]progress: [ 123 / 156 ] simplifiying candidate # 1537439709.495 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) 1/2)) 1) 1537439709.495 * * [misc]simplify: iters left: 6 (10 enodes) 1537439709.498 * * [misc]simplify: iters left: 5 (17 enodes) 1537439709.502 * * [misc]simplify: iters left: 4 (25 enodes) 1537439709.505 * * [misc]simplify: iters left: 3 (26 enodes) 1537439709.509 * [exit]simplify: Simplified to (sqrt (sqrt (* (* 2 n) PI))) 1537439709.509 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) (/ k 2)))))) 1537439709.509 * * * * [misc]progress: [ 124 / 156 ] simplifiying candidate # 1537439709.509 * [enter]simplify: Simplifying (/ 1 (pow PI (/ k 2))) 1537439709.509 * * [misc]simplify: iters left: 5 (7 enodes) 1537439709.511 * * [misc]simplify: iters left: 4 (9 enodes) 1537439709.512 * [exit]simplify: Simplified to (/ 1 (pow PI (/ k 2))) 1537439709.512 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (/ 1 (pow PI (/ k 2))) (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (pow (* n 2) (/ k 2)))))) 1537439709.512 * * * * [misc]progress: [ 125 / 156 ] simplifiying candidate # 1537439709.512 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))) 1537439709.513 * * [misc]simplify: iters left: 6 (12 enodes) 1537439709.516 * * [misc]simplify: iters left: 5 (20 enodes) 1537439709.523 * * [misc]simplify: iters left: 4 (26 enodes) 1537439709.531 * * [misc]simplify: iters left: 3 (27 enodes) 1537439709.536 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* (* n PI) 2) (/ k 2)))) (cbrt (pow (* (* n PI) 2) (/ k 2)))) 1537439709.536 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (/ (/ 1 (cbrt (pow (* (* n PI) 2) (/ k 2)))) (cbrt (pow (* (* n PI) 2) (/ k 2)))) (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (cbrt (pow (* PI (* n 2)) (/ k 2))))))) 1537439709.536 * * * * [misc]progress: [ 126 / 156 ] simplifiying candidate # 1537439709.537 * [enter]simplify: Simplifying (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) 1537439709.537 * * [misc]simplify: iters left: 6 (11 enodes) 1537439709.539 * * [misc]simplify: iters left: 5 (17 enodes) 1537439709.542 * * [misc]simplify: iters left: 4 (23 enodes) 1537439709.546 * * [misc]simplify: iters left: 3 (24 enodes) 1537439709.550 * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* (* 2 PI) n) (/ k 2)))) 1537439709.550 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* (* 2 PI) n) (/ k 2)))) (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))))) 1537439709.550 * * * * [misc]progress: [ 127 / 156 ] simplifiying candidate # 1537439709.550 * [enter]simplify: Simplifying (/ 1 1) 1537439709.550 * * [misc]simplify: iters left: 2 (2 enodes) 1537439709.551 * * [misc]simplify: iters left: 1 (4 enodes) 1537439709.551 * [exit]simplify: Simplified to 1 1537439709.551 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ 1 (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))))) 1537439709.551 * * * * [misc]progress: [ 128 / 156 ] simplifiying candidate # 1537439709.551 * * * * [misc]progress: [ 129 / 156 ] simplifiying candidate # 1537439709.551 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1537439709.552 * * [misc]simplify: iters left: 5 (7 enodes) 1537439709.553 * * [misc]simplify: iters left: 4 (12 enodes) 1537439709.556 * * [misc]simplify: iters left: 3 (18 enodes) 1537439709.559 * * [misc]simplify: iters left: 2 (20 enodes) 1537439709.562 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1537439709.562 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (/ 1 (pow (* PI (* n 2)) (/ k 2)))))) 1537439709.562 * * * * [misc]progress: [ 130 / 156 ] simplifiying candidate # 1537439709.562 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1537439709.562 * * [misc]simplify: iters left: 5 (7 enodes) 1537439709.565 * * [misc]simplify: iters left: 4 (12 enodes) 1537439709.568 * * [misc]simplify: iters left: 3 (18 enodes) 1537439709.571 * * [misc]simplify: iters left: 2 (20 enodes) 1537439709.574 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1537439709.574 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) 1537439709.574 * * * * [misc]progress: [ 131 / 156 ] simplifiying candidate # 1537439709.574 * * * * [misc]progress: [ 132 / 156 ] simplifiying candidate # 1537439709.574 * * * * [misc]progress: [ 133 / 156 ] simplifiying candidate # 1537439709.574 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) 1/2) 1537439709.574 * * [misc]simplify: iters left: 6 (8 enodes) 1537439709.576 * * [misc]simplify: iters left: 5 (16 enodes) 1537439709.581 * * [misc]simplify: iters left: 4 (33 enodes) 1537439709.590 * * [misc]simplify: iters left: 3 (62 enodes) 1537439709.603 * * [misc]simplify: iters left: 2 (93 enodes) 1537439709.620 * * [misc]simplify: iters left: 1 (115 enodes) 1537439709.637 * [exit]simplify: Simplified to (fma 1/2 (log (* 2 n)) (* 1/2 (log PI))) 1537439709.637 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (/ (exp (fma 1/2 (log (* 2 n)) (* 1/2 (log PI)))) (pow (* PI (* n 2)) (/ k 2))) (sqrt k))) 1537439709.637 * * * * [misc]progress: [ 134 / 156 ] simplifiying candidate # 1537439709.637 * * * * [misc]progress: [ 135 / 156 ] simplifiying candidate # 1537439709.637 * [enter]simplify: Simplifying (* PI (* n 2)) 1537439709.638 * * [misc]simplify: iters left: 4 (5 enodes) 1537439709.639 * * [misc]simplify: iters left: 3 (9 enodes) 1537439709.641 * * [misc]simplify: iters left: 2 (15 enodes) 1537439709.644 * * [misc]simplify: iters left: 1 (17 enodes) 1537439709.650 * [exit]simplify: Simplified to (* (* 2 n) PI) 1537439709.650 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (* (* 2 n) PI) (* 1 1/2)) (pow (* PI (* n 2)) (/ k 2))) (sqrt k))) 1537439709.650 * * * * [misc]progress: [ 136 / 156 ] simplifiying candidate # 1537439709.650 * [enter]simplify: Simplifying (pow PI 1/2) 1537439709.650 * * [misc]simplify: iters left: 1 (3 enodes) 1537439709.652 * [exit]simplify: Simplified to (sqrt PI) 1537439709.652 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (/ (* (sqrt PI) (pow (* n 2) 1/2)) (pow (* PI (* n 2)) (/ k 2))) (sqrt k))) 1537439709.652 * * * * [misc]progress: [ 137 / 156 ] simplifiying candidate # 1537439709.652 * * * * [misc]progress: [ 138 / 156 ] simplifiying candidate # 1537439709.652 * * * * [misc]progress: [ 139 / 156 ] simplifiying candidate # 1537439709.652 * * * * [misc]progress: [ 140 / 156 ] simplifiying candidate # 1537439709.652 * * * * [misc]progress: [ 141 / 156 ] simplifiying candidate # 1537439709.652 * * * * [misc]progress: [ 142 / 156 ] simplifiying candidate # 1537439709.652 * * * * [misc]progress: [ 143 / 156 ] simplifiying candidate # 1537439709.652 * * * * [misc]progress: [ 144 / 156 ] simplifiying candidate # 1537439709.652 * * * * [misc]progress: [ 145 / 156 ] simplifiying candidate # 1537439709.653 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537439709.653 * * [misc]simplify: iters left: 4 (5 enodes) 1537439709.656 * * [misc]simplify: iters left: 3 (9 enodes) 1537439709.659 * * [misc]simplify: iters left: 2 (15 enodes) 1537439709.665 * * [misc]simplify: iters left: 1 (17 enodes) 1537439709.670 * [exit]simplify: Simplified to (* (* PI n) 2) 1537439709.670 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (/ k 2))) (sqrt k))) 1537439709.670 * * * * [misc]progress: [ 146 / 156 ] simplifiying candidate # 1537439709.670 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537439709.671 * * [misc]simplify: iters left: 4 (5 enodes) 1537439709.673 * * [misc]simplify: iters left: 3 (9 enodes) 1537439709.677 * * [misc]simplify: iters left: 2 (15 enodes) 1537439709.682 * * [misc]simplify: iters left: 1 (17 enodes) 1537439709.687 * [exit]simplify: Simplified to (* (* PI n) 2) 1537439709.687 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (/ k 2))) (sqrt k))) 1537439709.687 * * * * [misc]progress: [ 147 / 156 ] simplifiying candidate # 1537439709.688 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537439709.688 * * [misc]simplify: iters left: 4 (5 enodes) 1537439709.690 * * [misc]simplify: iters left: 3 (9 enodes) 1537439709.694 * * [misc]simplify: iters left: 2 (15 enodes) 1537439709.700 * * [misc]simplify: iters left: 1 (17 enodes) 1537439709.704 * [exit]simplify: Simplified to (* (* PI n) 2) 1537439709.704 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (/ k 2))) (sqrt k))) 1537439709.704 * * * * [misc]progress: [ 148 / 156 ] simplifiying candidate # 1537439709.704 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537439709.705 * * [misc]simplify: iters left: 4 (5 enodes) 1537439709.706 * * [misc]simplify: iters left: 3 (9 enodes) 1537439709.708 * * [misc]simplify: iters left: 2 (15 enodes) 1537439709.710 * * [misc]simplify: iters left: 1 (17 enodes) 1537439709.713 * [exit]simplify: Simplified to (* (* PI n) 2) 1537439709.713 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (* (* PI n) 2) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k))) 1537439709.713 * * * * [misc]progress: [ 149 / 156 ] simplifiying candidate # 1537439709.713 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537439709.713 * * [misc]simplify: iters left: 4 (5 enodes) 1537439709.715 * * [misc]simplify: iters left: 3 (9 enodes) 1537439709.717 * * [misc]simplify: iters left: 2 (15 enodes) 1537439709.719 * * [misc]simplify: iters left: 1 (17 enodes) 1537439709.722 * [exit]simplify: Simplified to (* (* PI n) 2) 1537439709.722 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (* (* PI n) 2) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k))) 1537439709.722 * * * * [misc]progress: [ 150 / 156 ] simplifiying candidate # 1537439709.722 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537439709.722 * * [misc]simplify: iters left: 4 (5 enodes) 1537439709.724 * * [misc]simplify: iters left: 3 (9 enodes) 1537439709.725 * * [misc]simplify: iters left: 2 (15 enodes) 1537439709.728 * * [misc]simplify: iters left: 1 (17 enodes) 1537439709.731 * [exit]simplify: Simplified to (* (* PI n) 2) 1537439709.731 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (* (* PI n) 2) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k))) 1537439709.731 * * * * [misc]progress: [ 151 / 156 ] simplifiying candidate # 1537439709.731 * [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)))))))))))))) 1537439709.731 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1537439709.731 * * * * [misc]progress: [ 152 / 156 ] simplifiying candidate # 1537439709.731 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (pow n 2) (pow k 3))))) (- (+ (* +nan.0 (/ (* (sqrt 2) PI) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) k))) (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* n (pow k 2)))))))))) 1537439709.731 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1537439709.731 * * * * [misc]progress: [ 153 / 156 ] simplifiying candidate # 1537439709.731 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (pow PI 2) (* (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) n))) (- (+ (* +nan.0 (/ PI (* (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) k))) (- (* +nan.0 (/ PI (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k)))))))))) 1537439709.732 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1537439709.732 * * * * [misc]progress: [ 154 / 156 ] simplifiying candidate # 1537439709.732 * [enter]simplify: Simplifying (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1537439709.733 * * [misc]simplify: iters left: 6 (10 enodes) 1537439709.739 * * [misc]simplify: iters left: 5 (24 enodes) 1537439709.755 * * [misc]simplify: iters left: 4 (45 enodes) 1537439709.769 * * [misc]simplify: iters left: 3 (91 enodes) 1537439709.798 * * [misc]simplify: iters left: 2 (155 enodes) 1537439709.844 * * [misc]simplify: iters left: 1 (189 enodes) 1537439709.900 * [exit]simplify: Simplified to (sqrt (* 2 (* PI n))) 1537439709.900 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (sqrt (* 2 (* PI n))) (pow (* PI (* n 2)) (/ k 2))) (sqrt k))) 1537439709.900 * * * * [misc]progress: [ 155 / 156 ] simplifiying candidate # 1537439709.901 * [enter]simplify: Simplifying (exp (* 1/2 (- (log (* 2 PI)) (log (/ 1 n))))) 1537439709.902 * * [misc]simplify: iters left: 6 (12 enodes) 1537439709.910 * * [misc]simplify: iters left: 5 (27 enodes) 1537439709.920 * * [misc]simplify: iters left: 4 (39 enodes) 1537439709.938 * * [misc]simplify: iters left: 3 (73 enodes) 1537439709.980 * * [misc]simplify: iters left: 2 (158 enodes) 1537439710.065 * * [misc]simplify: iters left: 1 (399 enodes) 1537439710.531 * [exit]simplify: Simplified to (sqrt (* (* n PI) 2)) 1537439710.531 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (sqrt (* (* n PI) 2)) (pow (* PI (* n 2)) (/ k 2))) (sqrt k))) 1537439710.531 * * * * [misc]progress: [ 156 / 156 ] simplifiying candidate # 1537439710.531 * [enter]simplify: Simplifying (exp (* 1/2 (- (log (* -2 PI)) (log (/ -1 n))))) 1537439710.532 * * [misc]simplify: iters left: 6 (12 enodes) 1537439710.536 * * [misc]simplify: iters left: 5 (24 enodes) 1537439710.542 * * [misc]simplify: iters left: 4 (40 enodes) 1537439710.560 * * [misc]simplify: iters left: 3 (89 enodes) 1537439710.621 * * [misc]simplify: iters left: 2 (242 enodes) 1537439710.822 * [exit]simplify: Simplified to (* (sqrt (* PI -2)) (pow (/ -1 n) -1/2)) 1537439710.822 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (* (sqrt (* PI -2)) (pow (/ -1 n) -1/2)) (pow (* PI (* n 2)) (/ k 2))) (sqrt k))) 1537439710.822 * * * [misc]progress: adding candidates to table 1537439714.839 * * [misc]progress: iteration 3 / 4 1537439714.839 * * * [misc]progress: picking best candidate 1537439714.940 * * * * [misc]pick: Picked # 1537439714.940 * * * [misc]progress: localizing error 1537439714.972 * * * [misc]progress: generating rewritten candidates 1537439714.972 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1 2 1) 1537439715.000 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1) 1537439715.031 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) 1537439715.193 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) 1537439715.289 * * * [misc]progress: generating series expansions 1537439715.289 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1 2 1) 1537439715.290 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1537439715.290 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1537439715.290 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537439715.290 * [misc]taylor: Taking taylor expansion of 2 in n 1537439715.290 * [misc]backup-simplify: Simplify 2 into 2 1537439715.290 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537439715.290 * [misc]taylor: Taking taylor expansion of n in n 1537439715.290 * [misc]backup-simplify: Simplify 0 into 0 1537439715.290 * [misc]backup-simplify: Simplify 1 into 1 1537439715.290 * [misc]taylor: Taking taylor expansion of PI in n 1537439715.290 * [misc]backup-simplify: Simplify PI into PI 1537439715.290 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537439715.290 * [misc]taylor: Taking taylor expansion of 2 in n 1537439715.290 * [misc]backup-simplify: Simplify 2 into 2 1537439715.290 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537439715.290 * [misc]taylor: Taking taylor expansion of n in n 1537439715.290 * [misc]backup-simplify: Simplify 0 into 0 1537439715.290 * [misc]backup-simplify: Simplify 1 into 1 1537439715.290 * [misc]taylor: Taking taylor expansion of PI in n 1537439715.290 * [misc]backup-simplify: Simplify PI into PI 1537439715.290 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537439715.290 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537439715.290 * [misc]backup-simplify: Simplify 0 into 0 1537439715.291 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537439715.291 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537439715.292 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537439715.292 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1537439715.293 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1537439715.293 * [misc]backup-simplify: Simplify 0 into 0 1537439715.294 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1537439715.295 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1537439715.295 * [misc]backup-simplify: Simplify 0 into 0 1537439715.297 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537439715.298 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1537439715.298 * [misc]backup-simplify: Simplify 0 into 0 1537439715.300 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537439715.301 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1537439715.302 * [misc]backup-simplify: Simplify 0 into 0 1537439715.304 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537439715.308 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1537439715.308 * [misc]backup-simplify: Simplify 0 into 0 1537439715.312 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1537439715.318 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1537439715.318 * [misc]backup-simplify: Simplify 0 into 0 1537439715.318 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1537439715.319 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1537439715.319 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1537439715.319 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537439715.319 * [misc]taylor: Taking taylor expansion of 2 in n 1537439715.319 * [misc]backup-simplify: Simplify 2 into 2 1537439715.319 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537439715.319 * [misc]taylor: Taking taylor expansion of PI in n 1537439715.319 * [misc]backup-simplify: Simplify PI into PI 1537439715.319 * [misc]taylor: Taking taylor expansion of n in n 1537439715.319 * [misc]backup-simplify: Simplify 0 into 0 1537439715.319 * [misc]backup-simplify: Simplify 1 into 1 1537439715.319 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537439715.319 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537439715.319 * [misc]taylor: Taking taylor expansion of 2 in n 1537439715.319 * [misc]backup-simplify: Simplify 2 into 2 1537439715.319 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537439715.319 * [misc]taylor: Taking taylor expansion of PI in n 1537439715.319 * [misc]backup-simplify: Simplify PI into PI 1537439715.319 * [misc]taylor: Taking taylor expansion of n in n 1537439715.319 * [misc]backup-simplify: Simplify 0 into 0 1537439715.319 * [misc]backup-simplify: Simplify 1 into 1 1537439715.320 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537439715.320 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537439715.320 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537439715.322 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537439715.323 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537439715.323 * [misc]backup-simplify: Simplify 0 into 0 1537439715.324 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439715.325 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1537439715.325 * [misc]backup-simplify: Simplify 0 into 0 1537439715.327 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439715.329 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537439715.329 * [misc]backup-simplify: Simplify 0 into 0 1537439715.331 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439715.333 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537439715.334 * [misc]backup-simplify: Simplify 0 into 0 1537439715.336 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439715.339 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537439715.339 * [misc]backup-simplify: Simplify 0 into 0 1537439715.342 * [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 1537439715.345 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537439715.345 * [misc]backup-simplify: Simplify 0 into 0 1537439715.346 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1537439715.346 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1537439715.346 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1537439715.346 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537439715.346 * [misc]taylor: Taking taylor expansion of -2 in n 1537439715.346 * [misc]backup-simplify: Simplify -2 into -2 1537439715.346 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537439715.346 * [misc]taylor: Taking taylor expansion of PI in n 1537439715.346 * [misc]backup-simplify: Simplify PI into PI 1537439715.346 * [misc]taylor: Taking taylor expansion of n in n 1537439715.346 * [misc]backup-simplify: Simplify 0 into 0 1537439715.346 * [misc]backup-simplify: Simplify 1 into 1 1537439715.347 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537439715.347 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537439715.347 * [misc]taylor: Taking taylor expansion of -2 in n 1537439715.347 * [misc]backup-simplify: Simplify -2 into -2 1537439715.347 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537439715.347 * [misc]taylor: Taking taylor expansion of PI in n 1537439715.347 * [misc]backup-simplify: Simplify PI into PI 1537439715.347 * [misc]taylor: Taking taylor expansion of n in n 1537439715.347 * [misc]backup-simplify: Simplify 0 into 0 1537439715.347 * [misc]backup-simplify: Simplify 1 into 1 1537439715.347 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537439715.348 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537439715.348 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537439715.349 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537439715.350 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537439715.350 * [misc]backup-simplify: Simplify 0 into 0 1537439715.351 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439715.353 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1537439715.353 * [misc]backup-simplify: Simplify 0 into 0 1537439715.354 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439715.356 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537439715.356 * [misc]backup-simplify: Simplify 0 into 0 1537439715.358 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439715.361 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537439715.361 * [misc]backup-simplify: Simplify 0 into 0 1537439715.363 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439715.365 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537439715.365 * [misc]backup-simplify: Simplify 0 into 0 1537439715.367 * [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 1537439715.369 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537439715.369 * [misc]backup-simplify: Simplify 0 into 0 1537439715.369 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1537439715.369 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1) 1537439715.370 * [misc]backup-simplify: Simplify (* (* PI 2) n) into (* 2 (* n PI)) 1537439715.370 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1537439715.370 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537439715.370 * [misc]taylor: Taking taylor expansion of 2 in n 1537439715.370 * [misc]backup-simplify: Simplify 2 into 2 1537439715.370 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537439715.370 * [misc]taylor: Taking taylor expansion of n in n 1537439715.370 * [misc]backup-simplify: Simplify 0 into 0 1537439715.370 * [misc]backup-simplify: Simplify 1 into 1 1537439715.370 * [misc]taylor: Taking taylor expansion of PI in n 1537439715.370 * [misc]backup-simplify: Simplify PI into PI 1537439715.370 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537439715.370 * [misc]taylor: Taking taylor expansion of 2 in n 1537439715.370 * [misc]backup-simplify: Simplify 2 into 2 1537439715.370 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537439715.370 * [misc]taylor: Taking taylor expansion of n in n 1537439715.370 * [misc]backup-simplify: Simplify 0 into 0 1537439715.370 * [misc]backup-simplify: Simplify 1 into 1 1537439715.370 * [misc]taylor: Taking taylor expansion of PI in n 1537439715.370 * [misc]backup-simplify: Simplify PI into PI 1537439715.370 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537439715.370 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537439715.370 * [misc]backup-simplify: Simplify 0 into 0 1537439715.371 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537439715.371 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537439715.372 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537439715.372 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1537439715.373 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1537439715.373 * [misc]backup-simplify: Simplify 0 into 0 1537439715.374 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1537439715.375 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1537439715.375 * [misc]backup-simplify: Simplify 0 into 0 1537439715.377 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537439715.378 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1537439715.378 * [misc]backup-simplify: Simplify 0 into 0 1537439715.380 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537439715.381 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1537439715.381 * [misc]backup-simplify: Simplify 0 into 0 1537439715.384 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537439715.386 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1537439715.386 * [misc]backup-simplify: Simplify 0 into 0 1537439715.391 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1537439715.393 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1537439715.394 * [misc]backup-simplify: Simplify 0 into 0 1537439715.394 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1537439715.394 * [misc]backup-simplify: Simplify (* (* PI 2) (/ 1 n)) into (* 2 (/ PI n)) 1537439715.394 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1537439715.394 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537439715.394 * [misc]taylor: Taking taylor expansion of 2 in n 1537439715.394 * [misc]backup-simplify: Simplify 2 into 2 1537439715.394 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537439715.394 * [misc]taylor: Taking taylor expansion of PI in n 1537439715.394 * [misc]backup-simplify: Simplify PI into PI 1537439715.394 * [misc]taylor: Taking taylor expansion of n in n 1537439715.394 * [misc]backup-simplify: Simplify 0 into 0 1537439715.394 * [misc]backup-simplify: Simplify 1 into 1 1537439715.394 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537439715.394 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537439715.394 * [misc]taylor: Taking taylor expansion of 2 in n 1537439715.394 * [misc]backup-simplify: Simplify 2 into 2 1537439715.394 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537439715.394 * [misc]taylor: Taking taylor expansion of PI in n 1537439715.394 * [misc]backup-simplify: Simplify PI into PI 1537439715.394 * [misc]taylor: Taking taylor expansion of n in n 1537439715.394 * [misc]backup-simplify: Simplify 0 into 0 1537439715.394 * [misc]backup-simplify: Simplify 1 into 1 1537439715.395 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537439715.395 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537439715.395 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537439715.396 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537439715.397 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537439715.397 * [misc]backup-simplify: Simplify 0 into 0 1537439715.398 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439715.400 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1537439715.400 * [misc]backup-simplify: Simplify 0 into 0 1537439715.401 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439715.403 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537439715.403 * [misc]backup-simplify: Simplify 0 into 0 1537439715.405 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439715.408 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537439715.408 * [misc]backup-simplify: Simplify 0 into 0 1537439715.410 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439715.413 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537439715.413 * [misc]backup-simplify: Simplify 0 into 0 1537439715.416 * [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 1537439715.419 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537439715.419 * [misc]backup-simplify: Simplify 0 into 0 1537439715.420 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1537439715.420 * [misc]backup-simplify: Simplify (* (* PI 2) (/ 1 (- n))) into (* -2 (/ PI n)) 1537439715.420 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1537439715.420 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537439715.420 * [misc]taylor: Taking taylor expansion of -2 in n 1537439715.420 * [misc]backup-simplify: Simplify -2 into -2 1537439715.420 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537439715.420 * [misc]taylor: Taking taylor expansion of PI in n 1537439715.420 * [misc]backup-simplify: Simplify PI into PI 1537439715.420 * [misc]taylor: Taking taylor expansion of n in n 1537439715.420 * [misc]backup-simplify: Simplify 0 into 0 1537439715.420 * [misc]backup-simplify: Simplify 1 into 1 1537439715.421 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537439715.421 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537439715.421 * [misc]taylor: Taking taylor expansion of -2 in n 1537439715.421 * [misc]backup-simplify: Simplify -2 into -2 1537439715.421 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537439715.421 * [misc]taylor: Taking taylor expansion of PI in n 1537439715.421 * [misc]backup-simplify: Simplify PI into PI 1537439715.421 * [misc]taylor: Taking taylor expansion of n in n 1537439715.421 * [misc]backup-simplify: Simplify 0 into 0 1537439715.421 * [misc]backup-simplify: Simplify 1 into 1 1537439715.421 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537439715.422 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537439715.422 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537439715.424 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537439715.424 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537439715.424 * [misc]backup-simplify: Simplify 0 into 0 1537439715.426 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439715.427 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1537439715.427 * [misc]backup-simplify: Simplify 0 into 0 1537439715.429 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439715.431 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537439715.431 * [misc]backup-simplify: Simplify 0 into 0 1537439715.433 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439715.435 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537439715.435 * [misc]backup-simplify: Simplify 0 into 0 1537439715.437 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439715.440 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537439715.440 * [misc]backup-simplify: Simplify 0 into 0 1537439715.443 * [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 1537439715.447 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537439715.447 * [misc]backup-simplify: Simplify 0 into 0 1537439715.447 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1537439715.447 * * * * [misc]progress: [ 3 / 4 ] generating series at (2) 1537439715.448 * [misc]backup-simplify: Simplify (* (sqrt (* (* PI 2) n)) (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt k))) into (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* n PI) k))) 1537439715.448 * [misc]approximate: Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* n PI) k))) in (n k) around 0 1537439715.448 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* n PI) k))) in k 1537439715.448 * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) in k 1537439715.449 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537439715.449 * [misc]taylor: Taking taylor expansion of 2 in k 1537439715.449 * [misc]backup-simplify: Simplify 2 into 2 1537439715.449 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537439715.449 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537439715.449 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in k 1537439715.449 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in k 1537439715.449 * [misc]taylor: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in k 1537439715.449 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1537439715.449 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537439715.449 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439715.449 * [misc]taylor: Taking taylor expansion of k in k 1537439715.449 * [misc]backup-simplify: Simplify 0 into 0 1537439715.449 * [misc]backup-simplify: Simplify 1 into 1 1537439715.449 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1537439715.449 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1537439715.449 * [misc]taylor: Taking taylor expansion of 2 in k 1537439715.449 * [misc]backup-simplify: Simplify 2 into 2 1537439715.449 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1537439715.449 * [misc]taylor: Taking taylor expansion of n in k 1537439715.450 * [misc]backup-simplify: Simplify n into n 1537439715.450 * [misc]taylor: Taking taylor expansion of PI in k 1537439715.450 * [misc]backup-simplify: Simplify PI into PI 1537439715.450 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1537439715.450 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1537439715.450 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1537439715.450 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1537439715.450 * [misc]backup-simplify: Simplify (* 0 (log (* 2 (* n PI)))) into 0 1537439715.451 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1537439715.451 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1537439715.452 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1537439715.452 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1537439715.453 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1/2 (log (* 2 (* n PI))))) into (* 1/2 (log (* 2 (* n PI)))) 1537439715.453 * [misc]backup-simplify: Simplify (exp 0) into 1 1537439715.453 * [misc]backup-simplify: Simplify (/ (sqrt 2) 1) into (sqrt 2) 1537439715.453 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* n PI) k)) in k 1537439715.453 * [misc]taylor: Taking taylor expansion of (/ (* n PI) k) in k 1537439715.453 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1537439715.453 * [misc]taylor: Taking taylor expansion of n in k 1537439715.453 * [misc]backup-simplify: Simplify n into n 1537439715.453 * [misc]taylor: Taking taylor expansion of PI in k 1537439715.453 * [misc]backup-simplify: Simplify PI into PI 1537439715.453 * [misc]taylor: Taking taylor expansion of k in k 1537439715.453 * [misc]backup-simplify: Simplify 0 into 0 1537439715.453 * [misc]backup-simplify: Simplify 1 into 1 1537439715.453 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1537439715.453 * [misc]backup-simplify: Simplify (/ (* n PI) 1) into (* n PI) 1537439715.453 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537439715.453 * [misc]backup-simplify: Simplify (/ (* n PI) (* 2 (sqrt 0))) into (* +nan.0 (* n PI)) 1537439715.453 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* n PI) k))) in n 1537439715.453 * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) in n 1537439715.453 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537439715.453 * [misc]taylor: Taking taylor expansion of 2 in n 1537439715.454 * [misc]backup-simplify: Simplify 2 into 2 1537439715.454 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537439715.454 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537439715.454 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in n 1537439715.454 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in n 1537439715.454 * [misc]taylor: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in n 1537439715.454 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1537439715.454 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537439715.454 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439715.454 * [misc]taylor: Taking taylor expansion of k in n 1537439715.454 * [misc]backup-simplify: Simplify k into k 1537439715.454 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1537439715.454 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537439715.454 * [misc]taylor: Taking taylor expansion of 2 in n 1537439715.454 * [misc]backup-simplify: Simplify 2 into 2 1537439715.454 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537439715.454 * [misc]taylor: Taking taylor expansion of n in n 1537439715.454 * [misc]backup-simplify: Simplify 0 into 0 1537439715.454 * [misc]backup-simplify: Simplify 1 into 1 1537439715.454 * [misc]taylor: Taking taylor expansion of PI in n 1537439715.454 * [misc]backup-simplify: Simplify PI into PI 1537439715.454 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537439715.454 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537439715.455 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537439715.455 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537439715.456 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537439715.456 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1537439715.456 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537439715.457 * [misc]backup-simplify: Simplify (* (* 1/2 k) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (+ (log n) (log (* 2 PI))) k)) 1537439715.457 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) into (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) 1537439715.458 * [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)))) 1537439715.458 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* n PI) k)) in n 1537439715.458 * [misc]taylor: Taking taylor expansion of (/ (* n PI) k) in n 1537439715.458 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537439715.458 * [misc]taylor: Taking taylor expansion of n in n 1537439715.458 * [misc]backup-simplify: Simplify 0 into 0 1537439715.458 * [misc]backup-simplify: Simplify 1 into 1 1537439715.458 * [misc]taylor: Taking taylor expansion of PI in n 1537439715.458 * [misc]backup-simplify: Simplify PI into PI 1537439715.458 * [misc]taylor: Taking taylor expansion of k in n 1537439715.458 * [misc]backup-simplify: Simplify k into k 1537439715.458 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537439715.458 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537439715.458 * [misc]backup-simplify: Simplify (/ PI k) into (/ PI k) 1537439715.459 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537439715.459 * [misc]backup-simplify: Simplify (/ (/ PI k) (* 2 (sqrt 0))) into (* +nan.0 (/ PI k)) 1537439715.459 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* n PI) k))) in n 1537439715.459 * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) in n 1537439715.459 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537439715.459 * [misc]taylor: Taking taylor expansion of 2 in n 1537439715.459 * [misc]backup-simplify: Simplify 2 into 2 1537439715.459 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537439715.459 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537439715.459 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in n 1537439715.459 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in n 1537439715.459 * [misc]taylor: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in n 1537439715.459 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1537439715.459 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537439715.459 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439715.459 * [misc]taylor: Taking taylor expansion of k in n 1537439715.459 * [misc]backup-simplify: Simplify k into k 1537439715.459 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1537439715.459 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537439715.459 * [misc]taylor: Taking taylor expansion of 2 in n 1537439715.459 * [misc]backup-simplify: Simplify 2 into 2 1537439715.459 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537439715.459 * [misc]taylor: Taking taylor expansion of n in n 1537439715.459 * [misc]backup-simplify: Simplify 0 into 0 1537439715.459 * [misc]backup-simplify: Simplify 1 into 1 1537439715.459 * [misc]taylor: Taking taylor expansion of PI in n 1537439715.459 * [misc]backup-simplify: Simplify PI into PI 1537439715.460 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537439715.460 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537439715.460 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537439715.461 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537439715.461 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537439715.461 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1537439715.461 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537439715.462 * [misc]backup-simplify: Simplify (* (* 1/2 k) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (+ (log n) (log (* 2 PI))) k)) 1537439715.462 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) into (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) 1537439715.463 * [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)))) 1537439715.463 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* n PI) k)) in n 1537439715.463 * [misc]taylor: Taking taylor expansion of (/ (* n PI) k) in n 1537439715.463 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537439715.463 * [misc]taylor: Taking taylor expansion of n in n 1537439715.463 * [misc]backup-simplify: Simplify 0 into 0 1537439715.463 * [misc]backup-simplify: Simplify 1 into 1 1537439715.463 * [misc]taylor: Taking taylor expansion of PI in n 1537439715.463 * [misc]backup-simplify: Simplify PI into PI 1537439715.463 * [misc]taylor: Taking taylor expansion of k in n 1537439715.463 * [misc]backup-simplify: Simplify k into k 1537439715.463 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537439715.464 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537439715.464 * [misc]backup-simplify: Simplify (/ PI k) into (/ PI k) 1537439715.464 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537439715.464 * [misc]backup-simplify: Simplify (/ (/ PI k) (* 2 (sqrt 0))) into (* +nan.0 (/ PI k)) 1537439715.465 * [misc]backup-simplify: Simplify (* (/ (sqrt 2) (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) 0) into 0 1537439715.465 * [misc]taylor: Taking taylor expansion of 0 in k 1537439715.465 * [misc]backup-simplify: Simplify 0 into 0 1537439715.465 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1537439715.466 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1537439715.468 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537439715.468 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1537439715.469 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537439715.469 * [misc]backup-simplify: Simplify (+ (* (* 1/2 k) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1537439715.470 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1537439715.472 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (+ (* (/ (sqrt 2) (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))))))) into 0 1537439715.473 * [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)))) 1537439715.473 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) PI) (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) k)))) in k 1537439715.473 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) PI) (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) k))) in k 1537439715.473 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1537439715.473 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537439715.473 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt 2) PI) (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) k)) in k 1537439715.473 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) PI) in k 1537439715.473 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537439715.473 * [misc]taylor: Taking taylor expansion of 2 in k 1537439715.473 * [misc]backup-simplify: Simplify 2 into 2 1537439715.473 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537439715.473 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537439715.473 * [misc]taylor: Taking taylor expansion of PI in k 1537439715.473 * [misc]backup-simplify: Simplify PI into PI 1537439715.473 * [misc]taylor: Taking taylor expansion of (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) k) in k 1537439715.473 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) in k 1537439715.473 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (+ (log n) (log (* 2 PI))) k)) in k 1537439715.473 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537439715.473 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439715.473 * [misc]taylor: Taking taylor expansion of (* (+ (log n) (log (* 2 PI))) k) in k 1537439715.473 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1537439715.473 * [misc]taylor: Taking taylor expansion of (log n) in k 1537439715.473 * [misc]taylor: Taking taylor expansion of n in k 1537439715.473 * [misc]backup-simplify: Simplify n into n 1537439715.473 * [misc]backup-simplify: Simplify (log n) into (log n) 1537439715.473 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1537439715.473 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1537439715.473 * [misc]taylor: Taking taylor expansion of 2 in k 1537439715.473 * [misc]backup-simplify: Simplify 2 into 2 1537439715.473 * [misc]taylor: Taking taylor expansion of PI in k 1537439715.473 * [misc]backup-simplify: Simplify PI into PI 1537439715.474 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537439715.474 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537439715.474 * [misc]taylor: Taking taylor expansion of k in k 1537439715.474 * [misc]backup-simplify: Simplify 0 into 0 1537439715.474 * [misc]backup-simplify: Simplify 1 into 1 1537439715.474 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537439715.475 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) 0) into 0 1537439715.475 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1537439715.475 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1537439715.476 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537439715.478 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537439715.478 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537439715.478 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 1) (* 0 0)) into (+ (log n) (log (* 2 PI))) 1537439715.479 * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (log n) (log (* 2 PI)))) (* 0 0)) into (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1537439715.479 * [misc]backup-simplify: Simplify (exp 0) into 1 1537439715.479 * [misc]taylor: Taking taylor expansion of k in k 1537439715.479 * [misc]backup-simplify: Simplify 0 into 0 1537439715.479 * [misc]backup-simplify: Simplify 1 into 1 1537439715.479 * [misc]backup-simplify: Simplify (* (sqrt 2) PI) into (* (sqrt 2) PI) 1537439715.480 * [misc]backup-simplify: Simplify (* 1 0) into 0 1537439715.480 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1) 1)))) into (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1537439715.481 * [misc]backup-simplify: Simplify (+ (* 1 1) (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 0)) into 1 1537439715.482 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) PI) 1) into (* (sqrt 2) PI) 1537439715.482 * [misc]backup-simplify: Simplify (* +nan.0 (* (sqrt 2) PI)) into (* +nan.0 (* (sqrt 2) PI)) 1537439715.483 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1537439715.484 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1537439715.484 * [misc]backup-simplify: Simplify 0 into 0 1537439715.485 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1537439715.486 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ PI k) (/ 0 k)))) into 0 1537439715.487 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (/ PI k)) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow PI 2) (pow k 2))) 1537439715.488 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1537439715.490 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1537439715.491 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1537439715.498 * [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 1537439715.498 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1537439715.499 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537439715.500 * [misc]backup-simplify: Simplify (+ (* (* 1/2 k) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1537439715.502 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1537439715.505 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (+ (* (/ (sqrt 2) (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))))) (* 0 (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))))))) into 0 1537439715.508 * [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))))) 1537439715.508 * [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 1537439715.508 * [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 1537439715.508 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1537439715.508 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537439715.508 * [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 1537439715.508 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow PI 2)) in k 1537439715.508 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537439715.508 * [misc]taylor: Taking taylor expansion of 2 in k 1537439715.508 * [misc]backup-simplify: Simplify 2 into 2 1537439715.508 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537439715.508 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537439715.508 * [misc]taylor: Taking taylor expansion of (pow PI 2) in k 1537439715.508 * [misc]taylor: Taking taylor expansion of PI in k 1537439715.508 * [misc]backup-simplify: Simplify PI into PI 1537439715.508 * [misc]taylor: Taking taylor expansion of (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) (pow k 2)) in k 1537439715.509 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) in k 1537439715.509 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (+ (log n) (log (* 2 PI))) k)) in k 1537439715.509 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537439715.509 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439715.509 * [misc]taylor: Taking taylor expansion of (* (+ (log n) (log (* 2 PI))) k) in k 1537439715.509 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1537439715.509 * [misc]taylor: Taking taylor expansion of (log n) in k 1537439715.509 * [misc]taylor: Taking taylor expansion of n in k 1537439715.509 * [misc]backup-simplify: Simplify n into n 1537439715.509 * [misc]backup-simplify: Simplify (log n) into (log n) 1537439715.509 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1537439715.509 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1537439715.509 * [misc]taylor: Taking taylor expansion of 2 in k 1537439715.509 * [misc]backup-simplify: Simplify 2 into 2 1537439715.509 * [misc]taylor: Taking taylor expansion of PI in k 1537439715.509 * [misc]backup-simplify: Simplify PI into PI 1537439715.509 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537439715.510 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537439715.510 * [misc]taylor: Taking taylor expansion of k in k 1537439715.510 * [misc]backup-simplify: Simplify 0 into 0 1537439715.510 * [misc]backup-simplify: Simplify 1 into 1 1537439715.510 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537439715.511 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) 0) into 0 1537439715.511 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1537439715.512 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1537439715.512 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537439715.514 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537439715.515 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537439715.515 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 1) (* 0 0)) into (+ (log n) (log (* 2 PI))) 1537439715.516 * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (log n) (log (* 2 PI)))) (* 0 0)) into (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1537439715.516 * [misc]backup-simplify: Simplify (exp 0) into 1 1537439715.516 * [misc]taylor: Taking taylor expansion of (pow k 2) in k 1537439715.516 * [misc]taylor: Taking taylor expansion of k in k 1537439715.516 * [misc]backup-simplify: Simplify 0 into 0 1537439715.516 * [misc]backup-simplify: Simplify 1 into 1 1537439715.516 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1537439715.516 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2)) 1537439715.517 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537439715.517 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537439715.517 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) (pow PI 2)) 1) into (* (sqrt 2) (pow PI 2)) 1537439715.518 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 1537439715.519 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 2))) into 0 1537439715.519 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1537439715.520 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1) 1)))) into (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1537439715.520 * [misc]backup-simplify: Simplify (+ (* 1 0) (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1)) into (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))) 1537439715.524 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sqrt 2) (pow PI 2)) (/ (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))) 1)))) into (- (+ (* 1/2 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (* 1/2 (* (sqrt 2) (* (pow PI 2) (log n)))))) 1537439715.527 * [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))))))) 1537439715.530 * [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))))))) 1537439715.534 * [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))))))) 1537439715.534 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 PI)) into 0 1537439715.536 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1537439715.536 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1537439715.540 * [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 1537439715.540 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537439715.540 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (+ (* 0 1) (* 0 0))) into 0 1537439715.541 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 (+ (log n) (log (* 2 PI)))) (* 0 0))) into 0 1537439715.543 * [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)))) 1537439715.546 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1) (* (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))) 0))) into (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))) 1537439715.547 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sqrt 2) PI) (/ (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))) 1)))) into (- (+ (* 1/2 (* (sqrt 2) (* PI (log n)))) (* 1/2 (* (sqrt 2) (* PI (log (* 2 PI))))))) 1537439715.549 * [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)))))))) 1537439715.551 * [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)))))))) 1537439715.552 * [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)))))))) 1537439715.559 * [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)))))))))))))) 1537439715.560 * [misc]backup-simplify: Simplify (* (sqrt (* (* PI 2) (/ 1 n))) (/ (/ 1 (pow (* PI (* (/ 1 n) 2)) (/ (/ 1 k) 2))) (sqrt (/ 1 k)))) into (* (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) (sqrt (/ (* PI k) n))) 1537439715.560 * [misc]approximate: Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) (sqrt (/ (* PI k) n))) in (n k) around 0 1537439715.560 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) (sqrt (/ (* PI k) n))) in k 1537439715.560 * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) in k 1537439715.560 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537439715.560 * [misc]taylor: Taking taylor expansion of 2 in k 1537439715.560 * [misc]backup-simplify: Simplify 2 into 2 1537439715.560 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537439715.560 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537439715.560 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in k 1537439715.560 * [misc]taylor: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in k 1537439715.560 * [misc]taylor: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in k 1537439715.560 * [misc]taylor: Taking taylor expansion of (/ 1/2 k) in k 1537439715.560 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537439715.560 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439715.560 * [misc]taylor: Taking taylor expansion of k in k 1537439715.560 * [misc]backup-simplify: Simplify 0 into 0 1537439715.561 * [misc]backup-simplify: Simplify 1 into 1 1537439715.561 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 1537439715.561 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1537439715.561 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1537439715.561 * [misc]taylor: Taking taylor expansion of 2 in k 1537439715.561 * [misc]backup-simplify: Simplify 2 into 2 1537439715.561 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1537439715.561 * [misc]taylor: Taking taylor expansion of PI in k 1537439715.561 * [misc]backup-simplify: Simplify PI into PI 1537439715.561 * [misc]taylor: Taking taylor expansion of n in k 1537439715.561 * [misc]backup-simplify: Simplify n into n 1537439715.561 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537439715.561 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1537439715.561 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1537439715.562 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (/ PI n)))) into (* 1/2 (log (* 2 (/ PI n)))) 1537439715.562 * [misc]backup-simplify: Simplify (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) into (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 1537439715.562 * [misc]backup-simplify: Simplify (/ (sqrt 2) (exp (* 1/2 (/ (log (* 2 (/ PI n))) k)))) into (/ (sqrt 2) (exp (* 1/2 (/ (log (* 2 (/ PI n))) k)))) 1537439715.562 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* PI k) n)) in k 1537439715.562 * [misc]taylor: Taking taylor expansion of (/ (* PI k) n) in k 1537439715.562 * [misc]taylor: Taking taylor expansion of (* PI k) in k 1537439715.562 * [misc]taylor: Taking taylor expansion of PI in k 1537439715.562 * [misc]backup-simplify: Simplify PI into PI 1537439715.562 * [misc]taylor: Taking taylor expansion of k in k 1537439715.562 * [misc]backup-simplify: Simplify 0 into 0 1537439715.563 * [misc]backup-simplify: Simplify 1 into 1 1537439715.563 * [misc]taylor: Taking taylor expansion of n in k 1537439715.563 * [misc]backup-simplify: Simplify n into n 1537439715.563 * [misc]backup-simplify: Simplify (* PI 0) into 0 1537439715.564 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1537439715.564 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537439715.564 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537439715.564 * [misc]backup-simplify: Simplify (/ (/ PI n) (* 2 (sqrt 0))) into (* +nan.0 (/ PI n)) 1537439715.564 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) (sqrt (/ (* PI k) n))) in n 1537439715.564 * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) in n 1537439715.564 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537439715.564 * [misc]taylor: Taking taylor expansion of 2 in n 1537439715.564 * [misc]backup-simplify: Simplify 2 into 2 1537439715.565 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537439715.565 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537439715.565 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in n 1537439715.565 * [misc]taylor: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in n 1537439715.565 * [misc]taylor: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in n 1537439715.565 * [misc]taylor: Taking taylor expansion of (/ 1/2 k) in n 1537439715.565 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537439715.565 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439715.565 * [misc]taylor: Taking taylor expansion of k in n 1537439715.565 * [misc]backup-simplify: Simplify k into k 1537439715.565 * [misc]backup-simplify: Simplify (/ 1/2 k) into (/ 1/2 k) 1537439715.565 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1537439715.565 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537439715.565 * [misc]taylor: Taking taylor expansion of 2 in n 1537439715.565 * [misc]backup-simplify: Simplify 2 into 2 1537439715.565 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537439715.565 * [misc]taylor: Taking taylor expansion of PI in n 1537439715.565 * [misc]backup-simplify: Simplify PI into PI 1537439715.565 * [misc]taylor: Taking taylor expansion of n in n 1537439715.565 * [misc]backup-simplify: Simplify 0 into 0 1537439715.565 * [misc]backup-simplify: Simplify 1 into 1 1537439715.566 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537439715.566 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537439715.567 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537439715.567 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537439715.568 * [misc]backup-simplify: Simplify (* (/ 1/2 k) (- (log (* 2 PI)) (log n))) into (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1537439715.569 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537439715.570 * [misc]backup-simplify: Simplify (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) 1537439715.570 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* PI k) n)) in n 1537439715.570 * [misc]taylor: Taking taylor expansion of (/ (* PI k) n) in n 1537439715.570 * [misc]taylor: Taking taylor expansion of (* PI k) in n 1537439715.570 * [misc]taylor: Taking taylor expansion of PI in n 1537439715.570 * [misc]backup-simplify: Simplify PI into PI 1537439715.570 * [misc]taylor: Taking taylor expansion of k in n 1537439715.570 * [misc]backup-simplify: Simplify k into k 1537439715.570 * [misc]taylor: Taking taylor expansion of n in n 1537439715.570 * [misc]backup-simplify: Simplify 0 into 0 1537439715.570 * [misc]backup-simplify: Simplify 1 into 1 1537439715.570 * [misc]backup-simplify: Simplify (* PI k) into (* PI k) 1537439715.570 * [misc]backup-simplify: Simplify (/ (* PI k) 1) into (* PI k) 1537439715.570 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537439715.571 * [misc]backup-simplify: Simplify (/ (* PI k) (* 2 (sqrt 0))) into (* +nan.0 (* PI k)) 1537439715.571 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) (sqrt (/ (* PI k) n))) in n 1537439715.571 * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) in n 1537439715.571 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537439715.571 * [misc]taylor: Taking taylor expansion of 2 in n 1537439715.571 * [misc]backup-simplify: Simplify 2 into 2 1537439715.571 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537439715.571 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537439715.571 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in n 1537439715.571 * [misc]taylor: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in n 1537439715.571 * [misc]taylor: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in n 1537439715.571 * [misc]taylor: Taking taylor expansion of (/ 1/2 k) in n 1537439715.572 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537439715.572 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439715.572 * [misc]taylor: Taking taylor expansion of k in n 1537439715.572 * [misc]backup-simplify: Simplify k into k 1537439715.572 * [misc]backup-simplify: Simplify (/ 1/2 k) into (/ 1/2 k) 1537439715.572 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1537439715.572 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537439715.572 * [misc]taylor: Taking taylor expansion of 2 in n 1537439715.572 * [misc]backup-simplify: Simplify 2 into 2 1537439715.572 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537439715.572 * [misc]taylor: Taking taylor expansion of PI in n 1537439715.572 * [misc]backup-simplify: Simplify PI into PI 1537439715.572 * [misc]taylor: Taking taylor expansion of n in n 1537439715.572 * [misc]backup-simplify: Simplify 0 into 0 1537439715.572 * [misc]backup-simplify: Simplify 1 into 1 1537439715.572 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537439715.573 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537439715.573 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537439715.574 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537439715.575 * [misc]backup-simplify: Simplify (* (/ 1/2 k) (- (log (* 2 PI)) (log n))) into (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1537439715.575 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537439715.576 * [misc]backup-simplify: Simplify (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) 1537439715.576 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* PI k) n)) in n 1537439715.576 * [misc]taylor: Taking taylor expansion of (/ (* PI k) n) in n 1537439715.576 * [misc]taylor: Taking taylor expansion of (* PI k) in n 1537439715.576 * [misc]taylor: Taking taylor expansion of PI in n 1537439715.576 * [misc]backup-simplify: Simplify PI into PI 1537439715.576 * [misc]taylor: Taking taylor expansion of k in n 1537439715.576 * [misc]backup-simplify: Simplify k into k 1537439715.576 * [misc]taylor: Taking taylor expansion of n in n 1537439715.576 * [misc]backup-simplify: Simplify 0 into 0 1537439715.577 * [misc]backup-simplify: Simplify 1 into 1 1537439715.577 * [misc]backup-simplify: Simplify (* PI k) into (* PI k) 1537439715.577 * [misc]backup-simplify: Simplify (/ (* PI k) 1) into (* PI k) 1537439715.577 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537439715.577 * [misc]backup-simplify: Simplify (/ (* PI k) (* 2 (sqrt 0))) into (* +nan.0 (* PI k)) 1537439715.578 * [misc]backup-simplify: Simplify (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) 0) into 0 1537439715.578 * [misc]taylor: Taking taylor expansion of 0 in k 1537439715.578 * [misc]backup-simplify: Simplify 0 into 0 1537439715.578 * [misc]backup-simplify: Simplify 0 into 0 1537439715.580 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537439715.580 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537439715.584 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537439715.584 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ 1/2 k) (/ 0 k)))) into 0 1537439715.585 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537439715.586 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1537439715.587 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1537439715.590 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1537439715.591 * [misc]backup-simplify: Simplify (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (* +nan.0 (* PI k))) (* 0 0)) into (- (* +nan.0 (/ (* (sqrt 2) (* PI k)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) 1537439715.591 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (* PI k)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) in k 1537439715.591 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (* PI k)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) in k 1537439715.591 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1537439715.591 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537439715.591 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt 2) (* PI k)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 1537439715.592 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* PI k)) in k 1537439715.592 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537439715.592 * [misc]taylor: Taking taylor expansion of 2 in k 1537439715.592 * [misc]backup-simplify: Simplify 2 into 2 1537439715.592 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537439715.592 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537439715.592 * [misc]taylor: Taking taylor expansion of (* PI k) in k 1537439715.592 * [misc]taylor: Taking taylor expansion of PI in k 1537439715.592 * [misc]backup-simplify: Simplify PI into PI 1537439715.592 * [misc]taylor: Taking taylor expansion of k in k 1537439715.592 * [misc]backup-simplify: Simplify 0 into 0 1537439715.592 * [misc]backup-simplify: Simplify 1 into 1 1537439715.592 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1537439715.592 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1537439715.592 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537439715.592 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439715.592 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1537439715.592 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1537439715.592 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1537439715.592 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1537439715.593 * [misc]taylor: Taking taylor expansion of 2 in k 1537439715.593 * [misc]backup-simplify: Simplify 2 into 2 1537439715.593 * [misc]taylor: Taking taylor expansion of PI in k 1537439715.593 * [misc]backup-simplify: Simplify PI into PI 1537439715.593 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537439715.593 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537439715.594 * [misc]taylor: Taking taylor expansion of (log n) in k 1537439715.594 * [misc]taylor: Taking taylor expansion of n in k 1537439715.594 * [misc]backup-simplify: Simplify n into n 1537439715.594 * [misc]backup-simplify: Simplify (log n) into (log n) 1537439715.594 * [misc]taylor: Taking taylor expansion of k in k 1537439715.594 * [misc]backup-simplify: Simplify 0 into 0 1537439715.594 * [misc]backup-simplify: Simplify 1 into 1 1537439715.594 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1537439715.594 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1537439715.595 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1537439715.596 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n))) 1537439715.596 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537439715.597 * [misc]backup-simplify: Simplify (* PI 0) into 0 1537439715.597 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1537439715.598 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1537439715.598 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) PI) (* 0 0)) into (* (sqrt 2) PI) 1537439715.600 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) 1537439715.600 * [misc]backup-simplify: Simplify 0 into 0 1537439715.600 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 k)) into 0 1537439715.601 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)))) into 0 1537439715.602 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (* PI k)) 2) (+)) (* 2 0)) into (* +nan.0 (* (pow PI 2) (pow k 2))) 1537439715.603 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1537439715.605 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439715.606 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1537439715.612 * [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 1537439715.612 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ 1/2 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537439715.613 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537439715.614 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1537439715.616 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1537439715.620 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1537439715.622 * [misc]backup-simplify: Simplify (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0))) into (- (* +nan.0 (/ (* (sqrt 2) (* (pow PI 2) (pow k 2))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) 1537439715.622 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (* (pow PI 2) (pow k 2))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) in k 1537439715.622 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (* (pow PI 2) (pow k 2))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) in k 1537439715.622 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1537439715.622 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537439715.622 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt 2) (* (pow PI 2) (pow k 2))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 1537439715.622 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 2) (pow k 2))) in k 1537439715.622 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537439715.622 * [misc]taylor: Taking taylor expansion of 2 in k 1537439715.622 * [misc]backup-simplify: Simplify 2 into 2 1537439715.622 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537439715.623 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537439715.623 * [misc]taylor: Taking taylor expansion of (* (pow PI 2) (pow k 2)) in k 1537439715.623 * [misc]taylor: Taking taylor expansion of (pow PI 2) in k 1537439715.623 * [misc]taylor: Taking taylor expansion of PI in k 1537439715.623 * [misc]backup-simplify: Simplify PI into PI 1537439715.623 * [misc]taylor: Taking taylor expansion of (pow k 2) in k 1537439715.623 * [misc]taylor: Taking taylor expansion of k in k 1537439715.623 * [misc]backup-simplify: Simplify 0 into 0 1537439715.623 * [misc]backup-simplify: Simplify 1 into 1 1537439715.623 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1537439715.623 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1537439715.623 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537439715.623 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439715.623 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1537439715.623 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1537439715.623 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1537439715.623 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1537439715.623 * [misc]taylor: Taking taylor expansion of 2 in k 1537439715.623 * [misc]backup-simplify: Simplify 2 into 2 1537439715.623 * [misc]taylor: Taking taylor expansion of PI in k 1537439715.623 * [misc]backup-simplify: Simplify PI into PI 1537439715.624 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537439715.624 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537439715.624 * [misc]taylor: Taking taylor expansion of (log n) in k 1537439715.625 * [misc]taylor: Taking taylor expansion of n in k 1537439715.625 * [misc]backup-simplify: Simplify n into n 1537439715.625 * [misc]backup-simplify: Simplify (log n) into (log n) 1537439715.625 * [misc]taylor: Taking taylor expansion of k in k 1537439715.625 * [misc]backup-simplify: Simplify 0 into 0 1537439715.625 * [misc]backup-simplify: Simplify 1 into 1 1537439715.625 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1537439715.625 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1537439715.626 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1537439715.627 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n))) 1537439715.627 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537439715.628 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1537439715.628 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537439715.629 * [misc]backup-simplify: Simplify (* (pow PI 2) 1) into (pow PI 2) 1537439715.629 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2)) 1537439715.631 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) 1537439715.632 * [misc]backup-simplify: Simplify (* +nan.0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) into (* +nan.0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) 1537439715.634 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) 1537439715.636 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) 1537439715.636 * [misc]backup-simplify: Simplify 0 into 0 1537439715.636 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 k))) into 0 1537439715.637 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439715.639 * [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))) 1537439715.639 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537439715.641 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439715.643 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537439715.654 * [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 1537439715.654 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ 1/2 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537439715.655 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537439715.656 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1537439715.660 * [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 1537439715.664 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1537439715.666 * [misc]backup-simplify: Simplify (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (* +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 (/ (* (sqrt 2) (* (pow PI 3) (pow k 3))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) 1537439715.666 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (* (pow PI 3) (pow k 3))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) in k 1537439715.666 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (* (pow PI 3) (pow k 3))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) in k 1537439715.666 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1537439715.666 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537439715.666 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt 2) (* (pow PI 3) (pow k 3))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 1537439715.666 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 3) (pow k 3))) in k 1537439715.666 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537439715.666 * [misc]taylor: Taking taylor expansion of 2 in k 1537439715.666 * [misc]backup-simplify: Simplify 2 into 2 1537439715.666 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537439715.666 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537439715.666 * [misc]taylor: Taking taylor expansion of (* (pow PI 3) (pow k 3)) in k 1537439715.666 * [misc]taylor: Taking taylor expansion of (pow PI 3) in k 1537439715.666 * [misc]taylor: Taking taylor expansion of PI in k 1537439715.666 * [misc]backup-simplify: Simplify PI into PI 1537439715.666 * [misc]taylor: Taking taylor expansion of (pow k 3) in k 1537439715.666 * [misc]taylor: Taking taylor expansion of k in k 1537439715.666 * [misc]backup-simplify: Simplify 0 into 0 1537439715.666 * [misc]backup-simplify: Simplify 1 into 1 1537439715.666 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1537439715.666 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1537439715.666 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537439715.666 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439715.666 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1537439715.666 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1537439715.666 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1537439715.666 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1537439715.666 * [misc]taylor: Taking taylor expansion of 2 in k 1537439715.666 * [misc]backup-simplify: Simplify 2 into 2 1537439715.666 * [misc]taylor: Taking taylor expansion of PI in k 1537439715.666 * [misc]backup-simplify: Simplify PI into PI 1537439715.667 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537439715.667 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537439715.667 * [misc]taylor: Taking taylor expansion of (log n) in k 1537439715.667 * [misc]taylor: Taking taylor expansion of n in k 1537439715.667 * [misc]backup-simplify: Simplify n into n 1537439715.667 * [misc]backup-simplify: Simplify (log n) into (log n) 1537439715.667 * [misc]taylor: Taking taylor expansion of k in k 1537439715.667 * [misc]backup-simplify: Simplify 0 into 0 1537439715.667 * [misc]backup-simplify: Simplify 1 into 1 1537439715.667 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1537439715.668 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1537439715.668 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1537439715.668 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n))) 1537439715.669 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537439715.669 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1537439715.669 * [misc]backup-simplify: Simplify (* PI (pow PI 2)) into (pow PI 3) 1537439715.670 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537439715.670 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537439715.670 * [misc]backup-simplify: Simplify (* (pow PI 3) 1) into (pow PI 3) 1537439715.671 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 3)) into (* (sqrt 2) (pow PI 3)) 1537439715.672 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) 1537439715.672 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 1537439715.673 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1537439715.674 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 PI) (* 0 0))) into 0 1537439715.675 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1537439715.676 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into 0 1537439715.676 * [misc]backup-simplify: Simplify (- 0) into 0 1537439715.676 * [misc]backup-simplify: Simplify 0 into 0 1537439715.676 * [misc]backup-simplify: Simplify 0 into 0 1537439715.677 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1537439715.677 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439715.679 * [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))) 1537439715.680 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537439715.681 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439715.683 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537439715.692 * [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 1537439715.693 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ 1/2 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537439715.693 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537439715.694 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))))) into 0 1537439715.697 * [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 1537439715.700 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1537439715.702 * [misc]backup-simplify: Simplify (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (* +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 (/ (* (sqrt 2) (* (pow PI 4) (pow k 4))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) 1537439715.702 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (* (pow PI 4) (pow k 4))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) in k 1537439715.702 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (* (pow PI 4) (pow k 4))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) in k 1537439715.702 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1537439715.703 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537439715.703 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt 2) (* (pow PI 4) (pow k 4))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 1537439715.703 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 4) (pow k 4))) in k 1537439715.703 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537439715.703 * [misc]taylor: Taking taylor expansion of 2 in k 1537439715.703 * [misc]backup-simplify: Simplify 2 into 2 1537439715.703 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537439715.703 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537439715.703 * [misc]taylor: Taking taylor expansion of (* (pow PI 4) (pow k 4)) in k 1537439715.703 * [misc]taylor: Taking taylor expansion of (pow PI 4) in k 1537439715.703 * [misc]taylor: Taking taylor expansion of PI in k 1537439715.703 * [misc]backup-simplify: Simplify PI into PI 1537439715.703 * [misc]taylor: Taking taylor expansion of (pow k 4) in k 1537439715.703 * [misc]taylor: Taking taylor expansion of k in k 1537439715.703 * [misc]backup-simplify: Simplify 0 into 0 1537439715.703 * [misc]backup-simplify: Simplify 1 into 1 1537439715.703 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1537439715.703 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1537439715.703 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537439715.703 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439715.703 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1537439715.703 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1537439715.703 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1537439715.703 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1537439715.703 * [misc]taylor: Taking taylor expansion of 2 in k 1537439715.703 * [misc]backup-simplify: Simplify 2 into 2 1537439715.703 * [misc]taylor: Taking taylor expansion of PI in k 1537439715.703 * [misc]backup-simplify: Simplify PI into PI 1537439715.704 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537439715.704 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537439715.704 * [misc]taylor: Taking taylor expansion of (log n) in k 1537439715.704 * [misc]taylor: Taking taylor expansion of n in k 1537439715.704 * [misc]backup-simplify: Simplify n into n 1537439715.704 * [misc]backup-simplify: Simplify (log n) into (log n) 1537439715.704 * [misc]taylor: Taking taylor expansion of k in k 1537439715.704 * [misc]backup-simplify: Simplify 0 into 0 1537439715.704 * [misc]backup-simplify: Simplify 1 into 1 1537439715.704 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1537439715.705 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1537439715.706 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1537439715.706 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n))) 1537439715.707 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537439715.707 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1537439715.708 * [misc]backup-simplify: Simplify (* (pow PI 2) (pow PI 2)) into (pow PI 4) 1537439715.709 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537439715.709 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537439715.709 * [misc]backup-simplify: Simplify (* (pow PI 4) 1) into (pow PI 4) 1537439715.710 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 4)) into (* (sqrt 2) (pow PI 4)) 1537439715.712 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) (pow PI 4)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (* (sqrt 2) (pow PI 4)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) 1537439715.714 * [misc]backup-simplify: Simplify (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) into (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) 1537439715.716 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) 1537439715.718 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) 1537439715.719 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1537439715.720 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537439715.722 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1537439715.725 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1537439715.727 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1537439715.727 * [misc]backup-simplify: Simplify (- 0) into 0 1537439715.727 * [misc]backup-simplify: Simplify 0 into 0 1537439715.727 * [misc]backup-simplify: Simplify 0 into 0 1537439715.728 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 k))))) into 0 1537439715.729 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439715.732 * [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))) 1537439715.733 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537439715.736 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439715.739 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537439715.763 * [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 1537439715.764 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ 1/2 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537439715.765 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537439715.766 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))))) into 0 1537439715.777 * [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 1537439715.783 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1537439715.787 * [misc]backup-simplify: Simplify (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (* +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 (/ (* (sqrt 2) (* (pow PI 5) (pow k 5))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) 1537439715.788 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (* (pow PI 5) (pow k 5))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) in k 1537439715.788 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (* (pow PI 5) (pow k 5))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) in k 1537439715.788 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1537439715.788 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537439715.788 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt 2) (* (pow PI 5) (pow k 5))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 1537439715.788 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 5) (pow k 5))) in k 1537439715.788 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537439715.788 * [misc]taylor: Taking taylor expansion of 2 in k 1537439715.788 * [misc]backup-simplify: Simplify 2 into 2 1537439715.788 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537439715.788 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537439715.788 * [misc]taylor: Taking taylor expansion of (* (pow PI 5) (pow k 5)) in k 1537439715.788 * [misc]taylor: Taking taylor expansion of (pow PI 5) in k 1537439715.788 * [misc]taylor: Taking taylor expansion of PI in k 1537439715.788 * [misc]backup-simplify: Simplify PI into PI 1537439715.788 * [misc]taylor: Taking taylor expansion of (pow k 5) in k 1537439715.789 * [misc]taylor: Taking taylor expansion of k in k 1537439715.789 * [misc]backup-simplify: Simplify 0 into 0 1537439715.789 * [misc]backup-simplify: Simplify 1 into 1 1537439715.789 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1537439715.789 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1537439715.789 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537439715.789 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439715.789 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1537439715.789 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1537439715.789 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1537439715.789 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1537439715.789 * [misc]taylor: Taking taylor expansion of 2 in k 1537439715.789 * [misc]backup-simplify: Simplify 2 into 2 1537439715.789 * [misc]taylor: Taking taylor expansion of PI in k 1537439715.789 * [misc]backup-simplify: Simplify PI into PI 1537439715.789 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537439715.790 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537439715.790 * [misc]taylor: Taking taylor expansion of (log n) in k 1537439715.790 * [misc]taylor: Taking taylor expansion of n in k 1537439715.790 * [misc]backup-simplify: Simplify n into n 1537439715.790 * [misc]backup-simplify: Simplify (log n) into (log n) 1537439715.790 * [misc]taylor: Taking taylor expansion of k in k 1537439715.790 * [misc]backup-simplify: Simplify 0 into 0 1537439715.790 * [misc]backup-simplify: Simplify 1 into 1 1537439715.790 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1537439715.791 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1537439715.791 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1537439715.792 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n))) 1537439715.793 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537439715.793 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1537439715.794 * [misc]backup-simplify: Simplify (* (pow PI 2) (pow PI 2)) into (pow PI 4) 1537439715.795 * [misc]backup-simplify: Simplify (* PI (pow PI 4)) into (pow PI 5) 1537439715.795 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537439715.796 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537439715.796 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537439715.796 * [misc]backup-simplify: Simplify (* (pow PI 5) 1) into (pow PI 5) 1537439715.797 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 5)) into (* (sqrt 2) (pow PI 5)) 1537439715.799 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) (pow PI 5)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (* (sqrt 2) (pow PI 5)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) 1537439715.799 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1537439715.800 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 1537439715.801 * [misc]backup-simplify: Simplify (+ (* (pow PI 2) 0) (* 0 1)) into 0 1537439715.802 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 2))) into 0 1537439715.806 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1537439715.808 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into 0 1537439715.808 * [misc]backup-simplify: Simplify (- 0) into 0 1537439715.808 * [misc]backup-simplify: Simplify 0 into 0 1537439715.809 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1537439715.810 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537439715.813 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1537439715.816 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1537439715.817 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))))) into 0 1537439715.817 * [misc]backup-simplify: Simplify (- 0) into 0 1537439715.818 * [misc]backup-simplify: Simplify 0 into 0 1537439715.818 * [misc]backup-simplify: Simplify 0 into 0 1537439715.818 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))))) into 0 1537439715.819 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439715.821 * [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))) 1537439715.822 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537439715.824 * [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 1537439715.826 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537439715.848 * [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 1537439715.848 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ 1/2 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537439715.849 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537439715.850 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))))))) into 0 1537439715.858 * [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 1537439715.864 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1537439715.869 * [misc]backup-simplify: Simplify (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (* +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 (/ (* (sqrt 2) (* (pow PI 6) (pow k 6))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) 1537439715.869 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (* (pow PI 6) (pow k 6))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) in k 1537439715.869 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (* (pow PI 6) (pow k 6))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) in k 1537439715.869 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1537439715.870 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537439715.870 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt 2) (* (pow PI 6) (pow k 6))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 1537439715.870 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 6) (pow k 6))) in k 1537439715.870 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537439715.870 * [misc]taylor: Taking taylor expansion of 2 in k 1537439715.870 * [misc]backup-simplify: Simplify 2 into 2 1537439715.870 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537439715.870 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537439715.870 * [misc]taylor: Taking taylor expansion of (* (pow PI 6) (pow k 6)) in k 1537439715.870 * [misc]taylor: Taking taylor expansion of (pow PI 6) in k 1537439715.870 * [misc]taylor: Taking taylor expansion of PI in k 1537439715.870 * [misc]backup-simplify: Simplify PI into PI 1537439715.870 * [misc]taylor: Taking taylor expansion of (pow k 6) in k 1537439715.870 * [misc]taylor: Taking taylor expansion of k in k 1537439715.870 * [misc]backup-simplify: Simplify 0 into 0 1537439715.870 * [misc]backup-simplify: Simplify 1 into 1 1537439715.870 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1537439715.870 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1537439715.870 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537439715.871 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439715.871 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1537439715.871 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1537439715.871 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1537439715.871 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1537439715.871 * [misc]taylor: Taking taylor expansion of 2 in k 1537439715.871 * [misc]backup-simplify: Simplify 2 into 2 1537439715.871 * [misc]taylor: Taking taylor expansion of PI in k 1537439715.871 * [misc]backup-simplify: Simplify PI into PI 1537439715.871 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537439715.872 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537439715.872 * [misc]taylor: Taking taylor expansion of (log n) in k 1537439715.872 * [misc]taylor: Taking taylor expansion of n in k 1537439715.872 * [misc]backup-simplify: Simplify n into n 1537439715.872 * [misc]backup-simplify: Simplify (log n) into (log n) 1537439715.872 * [misc]taylor: Taking taylor expansion of k in k 1537439715.872 * [misc]backup-simplify: Simplify 0 into 0 1537439715.872 * [misc]backup-simplify: Simplify 1 into 1 1537439715.872 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1537439715.872 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1537439715.873 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1537439715.874 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n))) 1537439715.874 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537439715.875 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1537439715.875 * [misc]backup-simplify: Simplify (* PI (pow PI 2)) into (pow PI 3) 1537439715.876 * [misc]backup-simplify: Simplify (* (pow PI 3) (pow PI 3)) into (pow PI 6) 1537439715.877 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537439715.877 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537439715.877 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537439715.878 * [misc]backup-simplify: Simplify (* (pow PI 6) 1) into (pow PI 6) 1537439715.879 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 6)) into (* (sqrt 2) (pow PI 6)) 1537439715.880 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) (pow PI 6)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (* (sqrt 2) (pow PI 6)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) 1537439715.882 * [misc]backup-simplify: Simplify (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) into (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) 1537439715.884 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) 1537439715.886 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) 1537439715.896 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k))))))) (* (pow (/ 1 k) 3) (pow (/ 1 n) 2))) (+ (* (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k))))))) (* (pow (/ 1 k) 2) (/ 1 n))) (* (- (* +nan.0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (pow n 2) (pow k 3))))) (- (+ (* +nan.0 (/ (* (sqrt 2) PI) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) k))) (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* n (pow k 2)))))))))) 1537439715.897 * [misc]backup-simplify: Simplify (* (sqrt (* (* PI 2) (/ 1 (- n)))) (/ (/ 1 (pow (* PI (* (/ 1 (- n)) 2)) (/ (/ 1 (- k)) 2))) (sqrt (/ 1 (- k))))) into (/ (sqrt (* -2 (/ PI n))) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) 1537439715.897 * [misc]approximate: Taking taylor expansion of (/ (sqrt (* -2 (/ PI n))) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) in (n k) around 0 1537439715.897 * [misc]taylor: Taking taylor expansion of (/ (sqrt (* -2 (/ PI n))) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) in k 1537439715.897 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in k 1537439715.897 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1537439715.897 * [misc]taylor: Taking taylor expansion of -2 in k 1537439715.897 * [misc]backup-simplify: Simplify -2 into -2 1537439715.897 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1537439715.897 * [misc]taylor: Taking taylor expansion of PI in k 1537439715.897 * [misc]backup-simplify: Simplify PI into PI 1537439715.897 * [misc]taylor: Taking taylor expansion of n in k 1537439715.897 * [misc]backup-simplify: Simplify n into n 1537439715.897 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537439715.897 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1537439715.897 * [misc]backup-simplify: Simplify (sqrt (* -2 (/ PI n))) into (sqrt (* -2 (/ PI n))) 1537439715.898 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 1537439715.898 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (/ PI n))) into 0 1537439715.898 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* -2 (/ PI n))))) into 0 1537439715.898 * [misc]taylor: Taking taylor expansion of (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k))) in k 1537439715.898 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in k 1537439715.898 * [misc]taylor: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in k 1537439715.898 * [misc]taylor: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in k 1537439715.898 * [misc]taylor: Taking taylor expansion of (/ -1/2 k) in k 1537439715.898 * [misc]taylor: Taking taylor expansion of -1/2 in k 1537439715.898 * [misc]backup-simplify: Simplify -1/2 into -1/2 1537439715.899 * [misc]taylor: Taking taylor expansion of k in k 1537439715.899 * [misc]backup-simplify: Simplify 0 into 0 1537439715.899 * [misc]backup-simplify: Simplify 1 into 1 1537439715.899 * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 1537439715.899 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1537439715.899 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1537439715.899 * [misc]taylor: Taking taylor expansion of -2 in k 1537439715.899 * [misc]backup-simplify: Simplify -2 into -2 1537439715.899 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1537439715.899 * [misc]taylor: Taking taylor expansion of PI in k 1537439715.899 * [misc]backup-simplify: Simplify PI into PI 1537439715.899 * [misc]taylor: Taking taylor expansion of n in k 1537439715.899 * [misc]backup-simplify: Simplify n into n 1537439715.899 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537439715.899 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1537439715.899 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1537439715.900 * [misc]backup-simplify: Simplify (* -1/2 (log (* -2 (/ PI n)))) into (* -1/2 (log (* -2 (/ PI n)))) 1537439715.900 * [misc]backup-simplify: Simplify (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) into (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) 1537439715.900 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1537439715.900 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1537439715.900 * [misc]taylor: Taking taylor expansion of -1 in k 1537439715.900 * [misc]backup-simplify: Simplify -1 into -1 1537439715.900 * [misc]taylor: Taking taylor expansion of k in k 1537439715.900 * [misc]backup-simplify: Simplify 0 into 0 1537439715.900 * [misc]backup-simplify: Simplify 1 into 1 1537439715.900 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1537439715.900 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537439715.901 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1537439715.901 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) 0) into 0 1537439715.902 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))))) 1537439715.902 * [misc]backup-simplify: Simplify (/ (sqrt (* -2 (/ PI n))) (- (* +nan.0 (exp (* -1/2 (/ (log (* -2 (/ PI n))) k)))))) into (* +nan.0 (/ (sqrt (* -2 (/ PI n))) (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))))) 1537439715.902 * [misc]taylor: Taking taylor expansion of (/ (sqrt (* -2 (/ PI n))) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) in n 1537439715.902 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1537439715.902 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537439715.902 * [misc]taylor: Taking taylor expansion of -2 in n 1537439715.902 * [misc]backup-simplify: Simplify -2 into -2 1537439715.902 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537439715.902 * [misc]taylor: Taking taylor expansion of PI in n 1537439715.902 * [misc]backup-simplify: Simplify PI into PI 1537439715.902 * [misc]taylor: Taking taylor expansion of n in n 1537439715.903 * [misc]backup-simplify: Simplify 0 into 0 1537439715.903 * [misc]backup-simplify: Simplify 1 into 1 1537439715.903 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537439715.903 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537439715.903 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537439715.904 * [misc]backup-simplify: Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1537439715.904 * [misc]taylor: Taking taylor expansion of (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k))) in n 1537439715.904 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in n 1537439715.904 * [misc]taylor: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in n 1537439715.904 * [misc]taylor: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in n 1537439715.904 * [misc]taylor: Taking taylor expansion of (/ -1/2 k) in n 1537439715.904 * [misc]taylor: Taking taylor expansion of -1/2 in n 1537439715.904 * [misc]backup-simplify: Simplify -1/2 into -1/2 1537439715.904 * [misc]taylor: Taking taylor expansion of k in n 1537439715.904 * [misc]backup-simplify: Simplify k into k 1537439715.904 * [misc]backup-simplify: Simplify (/ -1/2 k) into (/ -1/2 k) 1537439715.904 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1537439715.904 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537439715.905 * [misc]taylor: Taking taylor expansion of -2 in n 1537439715.905 * [misc]backup-simplify: Simplify -2 into -2 1537439715.905 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537439715.905 * [misc]taylor: Taking taylor expansion of PI in n 1537439715.905 * [misc]backup-simplify: Simplify PI into PI 1537439715.905 * [misc]taylor: Taking taylor expansion of n in n 1537439715.905 * [misc]backup-simplify: Simplify 0 into 0 1537439715.905 * [misc]backup-simplify: Simplify 1 into 1 1537439715.905 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537439715.905 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537439715.906 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537439715.907 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537439715.907 * [misc]backup-simplify: Simplify (* (/ -1/2 k) (- (log (* -2 PI)) (log n))) into (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) 1537439715.908 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1537439715.908 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1537439715.908 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1537439715.908 * [misc]taylor: Taking taylor expansion of -1 in n 1537439715.908 * [misc]backup-simplify: Simplify -1 into -1 1537439715.908 * [misc]taylor: Taking taylor expansion of k in n 1537439715.908 * [misc]backup-simplify: Simplify k into k 1537439715.908 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1537439715.908 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1537439715.908 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1537439715.909 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1537439715.909 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))) into (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) 1537439715.910 * [misc]backup-simplify: Simplify (/ (* +nan.0 PI) (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into (* +nan.0 (/ PI (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))))) 1537439715.910 * [misc]taylor: Taking taylor expansion of (/ (sqrt (* -2 (/ PI n))) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) in n 1537439715.910 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1537439715.910 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537439715.910 * [misc]taylor: Taking taylor expansion of -2 in n 1537439715.911 * [misc]backup-simplify: Simplify -2 into -2 1537439715.911 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537439715.911 * [misc]taylor: Taking taylor expansion of PI in n 1537439715.911 * [misc]backup-simplify: Simplify PI into PI 1537439715.911 * [misc]taylor: Taking taylor expansion of n in n 1537439715.911 * [misc]backup-simplify: Simplify 0 into 0 1537439715.911 * [misc]backup-simplify: Simplify 1 into 1 1537439715.911 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537439715.912 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537439715.912 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537439715.913 * [misc]backup-simplify: Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1537439715.913 * [misc]taylor: Taking taylor expansion of (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k))) in n 1537439715.913 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in n 1537439715.913 * [misc]taylor: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in n 1537439715.913 * [misc]taylor: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in n 1537439715.913 * [misc]taylor: Taking taylor expansion of (/ -1/2 k) in n 1537439715.913 * [misc]taylor: Taking taylor expansion of -1/2 in n 1537439715.913 * [misc]backup-simplify: Simplify -1/2 into -1/2 1537439715.913 * [misc]taylor: Taking taylor expansion of k in n 1537439715.913 * [misc]backup-simplify: Simplify k into k 1537439715.913 * [misc]backup-simplify: Simplify (/ -1/2 k) into (/ -1/2 k) 1537439715.913 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1537439715.913 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537439715.913 * [misc]taylor: Taking taylor expansion of -2 in n 1537439715.913 * [misc]backup-simplify: Simplify -2 into -2 1537439715.913 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537439715.913 * [misc]taylor: Taking taylor expansion of PI in n 1537439715.913 * [misc]backup-simplify: Simplify PI into PI 1537439715.913 * [misc]taylor: Taking taylor expansion of n in n 1537439715.913 * [misc]backup-simplify: Simplify 0 into 0 1537439715.913 * [misc]backup-simplify: Simplify 1 into 1 1537439715.914 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537439715.914 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537439715.914 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537439715.915 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537439715.916 * [misc]backup-simplify: Simplify (* (/ -1/2 k) (- (log (* -2 PI)) (log n))) into (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) 1537439715.917 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1537439715.917 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1537439715.917 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1537439715.917 * [misc]taylor: Taking taylor expansion of -1 in n 1537439715.917 * [misc]backup-simplify: Simplify -1 into -1 1537439715.917 * [misc]taylor: Taking taylor expansion of k in n 1537439715.917 * [misc]backup-simplify: Simplify k into k 1537439715.917 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1537439715.917 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1537439715.917 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1537439715.917 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1537439715.918 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))) into (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) 1537439715.919 * [misc]backup-simplify: Simplify (/ (* +nan.0 PI) (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into (* +nan.0 (/ PI (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))))) 1537439715.919 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ PI (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))))) in k 1537439715.919 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1537439715.919 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537439715.919 * [misc]taylor: Taking taylor expansion of (/ PI (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 1537439715.919 * [misc]taylor: Taking taylor expansion of PI in k 1537439715.919 * [misc]backup-simplify: Simplify PI into PI 1537439715.919 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 1537439715.919 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k 1537439715.919 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k 1537439715.919 * [misc]taylor: Taking taylor expansion of -1/2 in k 1537439715.919 * [misc]backup-simplify: Simplify -1/2 into -1/2 1537439715.919 * [misc]taylor: Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k 1537439715.920 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1537439715.920 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1537439715.920 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1537439715.920 * [misc]taylor: Taking taylor expansion of -2 in k 1537439715.920 * [misc]backup-simplify: Simplify -2 into -2 1537439715.920 * [misc]taylor: Taking taylor expansion of PI in k 1537439715.920 * [misc]backup-simplify: Simplify PI into PI 1537439715.920 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537439715.921 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537439715.921 * [misc]taylor: Taking taylor expansion of (log n) in k 1537439715.921 * [misc]taylor: Taking taylor expansion of n in k 1537439715.921 * [misc]backup-simplify: Simplify n into n 1537439715.921 * [misc]backup-simplify: Simplify (log n) into (log n) 1537439715.921 * [misc]taylor: Taking taylor expansion of k in k 1537439715.921 * [misc]backup-simplify: Simplify 0 into 0 1537439715.921 * [misc]backup-simplify: Simplify 1 into 1 1537439715.921 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1537439715.921 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1537439715.922 * [misc]backup-simplify: Simplify (/ (- (log (* -2 PI)) (log n)) 1) into (- (log (* -2 PI)) (log n)) 1537439715.923 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* -2 PI)) (log n))) into (* -1/2 (- (log (* -2 PI)) (log n))) 1537439715.923 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1537439715.923 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1537439715.923 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1537439715.923 * [misc]taylor: Taking taylor expansion of -1 in k 1537439715.923 * [misc]backup-simplify: Simplify -1 into -1 1537439715.923 * [misc]taylor: Taking taylor expansion of k in k 1537439715.924 * [misc]backup-simplify: Simplify 0 into 0 1537439715.924 * [misc]backup-simplify: Simplify 1 into 1 1537439715.924 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1537439715.924 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537439715.924 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1537439715.925 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 0) into 0 1537439715.926 * [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))))) 1537439715.927 * [misc]backup-simplify: Simplify (/ PI (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1537439715.927 * [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))))) 1537439715.928 * [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))))) 1537439715.929 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537439715.929 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537439715.930 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1537439715.931 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537439715.932 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537439715.934 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1537439715.934 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1/2 k) (/ 0 k)))) into 0 1537439715.934 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537439715.935 * [misc]backup-simplify: Simplify (+ (* (/ -1/2 k) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1537439715.936 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1537439715.936 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 0) (* 0 (sqrt (/ -1 k)))) into 0 1537439715.938 * [misc]backup-simplify: Simplify (- (/ (* +nan.0 (pow PI 2)) (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (+ (* (* +nan.0 (/ PI (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))))) (/ 0 (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))))) into (- (* +nan.0 (/ (pow PI 2) (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k)))))) 1537439715.938 * [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 1537439715.939 * [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 1537439715.939 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1537439715.939 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537439715.939 * [misc]taylor: Taking taylor expansion of (/ (pow PI 2) (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 1537439715.939 * [misc]taylor: Taking taylor expansion of (pow PI 2) in k 1537439715.939 * [misc]taylor: Taking taylor expansion of PI in k 1537439715.939 * [misc]backup-simplify: Simplify PI into PI 1537439715.939 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 1537439715.939 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k 1537439715.939 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k 1537439715.939 * [misc]taylor: Taking taylor expansion of -1/2 in k 1537439715.939 * [misc]backup-simplify: Simplify -1/2 into -1/2 1537439715.939 * [misc]taylor: Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k 1537439715.939 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1537439715.939 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1537439715.939 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1537439715.939 * [misc]taylor: Taking taylor expansion of -2 in k 1537439715.939 * [misc]backup-simplify: Simplify -2 into -2 1537439715.939 * [misc]taylor: Taking taylor expansion of PI in k 1537439715.939 * [misc]backup-simplify: Simplify PI into PI 1537439715.939 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537439715.939 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537439715.939 * [misc]taylor: Taking taylor expansion of (log n) in k 1537439715.939 * [misc]taylor: Taking taylor expansion of n in k 1537439715.939 * [misc]backup-simplify: Simplify n into n 1537439715.939 * [misc]backup-simplify: Simplify (log n) into (log n) 1537439715.939 * [misc]taylor: Taking taylor expansion of k in k 1537439715.940 * [misc]backup-simplify: Simplify 0 into 0 1537439715.940 * [misc]backup-simplify: Simplify 1 into 1 1537439715.940 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1537439715.940 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1537439715.940 * [misc]backup-simplify: Simplify (/ (- (log (* -2 PI)) (log n)) 1) into (- (log (* -2 PI)) (log n)) 1537439715.941 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* -2 PI)) (log n))) into (* -1/2 (- (log (* -2 PI)) (log n))) 1537439715.941 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1537439715.941 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1537439715.941 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1537439715.941 * [misc]taylor: Taking taylor expansion of -1 in k 1537439715.941 * [misc]backup-simplify: Simplify -1 into -1 1537439715.941 * [misc]taylor: Taking taylor expansion of k in k 1537439715.941 * [misc]backup-simplify: Simplify 0 into 0 1537439715.941 * [misc]backup-simplify: Simplify 1 into 1 1537439715.941 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1537439715.941 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537439715.942 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1537439715.942 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1537439715.942 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 0) into 0 1537439715.943 * [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))))) 1537439715.944 * [misc]backup-simplify: Simplify (/ (pow PI 2) (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (* +nan.0 (/ (pow PI 2) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1537439715.945 * [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))))) 1537439715.945 * [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)))))) 1537439715.946 * [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)))))) 1537439715.947 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1537439715.947 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1537439715.948 * [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))))) 1537439715.950 * [misc]backup-simplify: Simplify (- (/ 0 (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) (+ (* (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (/ (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))))) into (- (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1537439715.951 * [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)))))) 1537439715.951 * [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)))))) 1537439715.954 * [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 (/ (pow PI 2) (* (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) n))) (- (+ (* +nan.0 (/ PI (* (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) k))) (- (* +nan.0 (/ PI (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k)))))))))) 1537439715.954 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) 1537439715.954 * [misc]backup-simplify: Simplify (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt k)) into (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ 1 k))) 1537439715.955 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ 1 k))) in (n k) around 0 1537439715.955 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ 1 k))) in k 1537439715.955 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (* 1/2 k))) in k 1537439715.955 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in k 1537439715.955 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in k 1537439715.955 * [misc]taylor: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in k 1537439715.955 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1537439715.955 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537439715.955 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439715.955 * [misc]taylor: Taking taylor expansion of k in k 1537439715.955 * [misc]backup-simplify: Simplify 0 into 0 1537439715.955 * [misc]backup-simplify: Simplify 1 into 1 1537439715.955 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1537439715.955 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1537439715.955 * [misc]taylor: Taking taylor expansion of 2 in k 1537439715.955 * [misc]backup-simplify: Simplify 2 into 2 1537439715.955 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1537439715.955 * [misc]taylor: Taking taylor expansion of n in k 1537439715.955 * [misc]backup-simplify: Simplify n into n 1537439715.955 * [misc]taylor: Taking taylor expansion of PI in k 1537439715.955 * [misc]backup-simplify: Simplify PI into PI 1537439715.955 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1537439715.955 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1537439715.955 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1537439715.955 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1537439715.955 * [misc]backup-simplify: Simplify (* 0 (log (* 2 (* n PI)))) into 0 1537439715.956 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1537439715.956 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1537439715.956 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1537439715.957 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1537439715.957 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1/2 (log (* 2 (* n PI))))) into (* 1/2 (log (* 2 (* n PI)))) 1537439715.957 * [misc]backup-simplify: Simplify (exp 0) into 1 1537439715.957 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1537439715.957 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1537439715.957 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1537439715.957 * [misc]taylor: Taking taylor expansion of k in k 1537439715.957 * [misc]backup-simplify: Simplify 0 into 0 1537439715.957 * [misc]backup-simplify: Simplify 1 into 1 1537439715.957 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1537439715.957 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537439715.958 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1537439715.958 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ 1 k))) in n 1537439715.958 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (* 1/2 k))) in n 1537439715.958 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in n 1537439715.958 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in n 1537439715.958 * [misc]taylor: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in n 1537439715.958 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1537439715.958 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537439715.958 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439715.958 * [misc]taylor: Taking taylor expansion of k in n 1537439715.958 * [misc]backup-simplify: Simplify k into k 1537439715.958 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1537439715.958 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537439715.958 * [misc]taylor: Taking taylor expansion of 2 in n 1537439715.958 * [misc]backup-simplify: Simplify 2 into 2 1537439715.958 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537439715.958 * [misc]taylor: Taking taylor expansion of n in n 1537439715.958 * [misc]backup-simplify: Simplify 0 into 0 1537439715.958 * [misc]backup-simplify: Simplify 1 into 1 1537439715.958 * [misc]taylor: Taking taylor expansion of PI in n 1537439715.958 * [misc]backup-simplify: Simplify PI into PI 1537439715.958 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537439715.958 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537439715.959 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537439715.959 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537439715.959 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537439715.959 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1537439715.960 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537439715.960 * [misc]backup-simplify: Simplify (* (* 1/2 k) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (+ (log n) (log (* 2 PI))) k)) 1537439715.961 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) into (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) 1537439715.961 * [misc]backup-simplify: Simplify (/ 1 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) into (/ 1 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) 1537439715.961 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1537439715.961 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1537439715.961 * [misc]taylor: Taking taylor expansion of k in n 1537439715.961 * [misc]backup-simplify: Simplify k into k 1537439715.961 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1537439715.961 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1537439715.961 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1537439715.962 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1537439715.962 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ 1 k))) in n 1537439715.962 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (* 1/2 k))) in n 1537439715.962 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in n 1537439715.962 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in n 1537439715.962 * [misc]taylor: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in n 1537439715.962 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1537439715.962 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537439715.962 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439715.962 * [misc]taylor: Taking taylor expansion of k in n 1537439715.962 * [misc]backup-simplify: Simplify k into k 1537439715.962 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1537439715.962 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537439715.962 * [misc]taylor: Taking taylor expansion of 2 in n 1537439715.962 * [misc]backup-simplify: Simplify 2 into 2 1537439715.962 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537439715.962 * [misc]taylor: Taking taylor expansion of n in n 1537439715.962 * [misc]backup-simplify: Simplify 0 into 0 1537439715.962 * [misc]backup-simplify: Simplify 1 into 1 1537439715.962 * [misc]taylor: Taking taylor expansion of PI in n 1537439715.962 * [misc]backup-simplify: Simplify PI into PI 1537439715.962 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537439715.962 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537439715.963 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537439715.963 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537439715.963 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537439715.963 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1537439715.964 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537439715.964 * [misc]backup-simplify: Simplify (* (* 1/2 k) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (+ (log n) (log (* 2 PI))) k)) 1537439715.965 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) into (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) 1537439715.965 * [misc]backup-simplify: Simplify (/ 1 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) into (/ 1 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) 1537439715.965 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1537439715.965 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1537439715.965 * [misc]taylor: Taking taylor expansion of k in n 1537439715.965 * [misc]backup-simplify: Simplify k into k 1537439715.966 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1537439715.966 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1537439715.966 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1537439715.966 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1537439715.966 * [misc]backup-simplify: Simplify (* (/ 1 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (sqrt (/ 1 k))) into (* (/ 1 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (sqrt (/ 1 k))) 1537439715.966 * [misc]taylor: Taking taylor expansion of (* (/ 1 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (sqrt (/ 1 k))) in k 1537439715.966 * [misc]taylor: Taking taylor expansion of (/ 1 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) in k 1537439715.966 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) in k 1537439715.966 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (+ (log n) (log (* 2 PI))) k)) in k 1537439715.966 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537439715.966 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439715.966 * [misc]taylor: Taking taylor expansion of (* (+ (log n) (log (* 2 PI))) k) in k 1537439715.967 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1537439715.967 * [misc]taylor: Taking taylor expansion of (log n) in k 1537439715.967 * [misc]taylor: Taking taylor expansion of n in k 1537439715.967 * [misc]backup-simplify: Simplify n into n 1537439715.967 * [misc]backup-simplify: Simplify (log n) into (log n) 1537439715.967 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1537439715.967 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1537439715.967 * [misc]taylor: Taking taylor expansion of 2 in k 1537439715.967 * [misc]backup-simplify: Simplify 2 into 2 1537439715.967 * [misc]taylor: Taking taylor expansion of PI in k 1537439715.967 * [misc]backup-simplify: Simplify PI into PI 1537439715.967 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537439715.967 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537439715.967 * [misc]taylor: Taking taylor expansion of k in k 1537439715.967 * [misc]backup-simplify: Simplify 0 into 0 1537439715.967 * [misc]backup-simplify: Simplify 1 into 1 1537439715.968 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537439715.968 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) 0) into 0 1537439715.968 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1537439715.969 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1537439715.969 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537439715.971 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537439715.971 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537439715.972 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 1) (* 0 0)) into (+ (log n) (log (* 2 PI))) 1537439715.972 * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (log n) (log (* 2 PI)))) (* 0 0)) into (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1537439715.973 * [misc]backup-simplify: Simplify (exp 0) into 1 1537439715.973 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1537439715.973 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1537439715.973 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1537439715.973 * [misc]taylor: Taking taylor expansion of k in k 1537439715.973 * [misc]backup-simplify: Simplify 0 into 0 1537439715.973 * [misc]backup-simplify: Simplify 1 into 1 1537439715.973 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1537439715.973 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537439715.973 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1537439715.973 * [misc]backup-simplify: Simplify (* 1 0) into 0 1537439715.973 * [misc]backup-simplify: Simplify 0 into 0 1537439715.974 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1537439715.975 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1537439715.977 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537439715.977 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1537439715.978 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537439715.978 * [misc]backup-simplify: Simplify (+ (* (* 1/2 k) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1537439715.979 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1537439715.980 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))))))) into 0 1537439715.981 * [misc]backup-simplify: Simplify (+ (* (/ 1 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) 0) (* 0 (sqrt (/ 1 k)))) into 0 1537439715.981 * [misc]taylor: Taking taylor expansion of 0 in k 1537439715.981 * [misc]backup-simplify: Simplify 0 into 0 1537439715.982 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1) 1)))) into (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1537439715.982 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1)))) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1537439715.983 * [misc]backup-simplify: Simplify (+ (* 1 +nan.0) (* (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 0)) into (- +nan.0) 1537439715.983 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) 1537439715.983 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537439715.984 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1537439715.985 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1537439715.986 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1537439715.989 * [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 1537439715.990 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1537439715.990 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537439715.991 * [misc]backup-simplify: Simplify (+ (* (* 1/2 k) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1537439715.992 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1537439715.993 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))))) (* 0 (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))))))) into 0 1537439715.994 * [misc]backup-simplify: Simplify (+ (* (/ 1 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 1537439715.994 * [misc]taylor: Taking taylor expansion of 0 in k 1537439715.994 * [misc]backup-simplify: Simplify 0 into 0 1537439715.994 * [misc]backup-simplify: Simplify 0 into 0 1537439715.994 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1537439715.995 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1537439715.996 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1537439715.997 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1537439716.002 * [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 1537439716.002 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537439716.002 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (+ (* 0 1) (* 0 0))) into 0 1537439716.003 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 (+ (log n) (log (* 2 PI)))) (* 0 0))) into 0 1537439716.005 * [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)))) 1537439716.009 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))) 1)) (* (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) (/ (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1)))) into (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))) 1537439716.013 * [misc]backup-simplify: Simplify (+ (* 1 +nan.0) (+ (* (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) +nan.0) (* (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))) 0))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (+ +nan.0 (- (* +nan.0 (log n))))))) 1537439716.014 * [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))))) 1537439716.015 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537439716.015 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1537439716.018 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537439716.020 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1537439716.030 * [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 1537439716.031 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1537439716.031 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537439716.032 * [misc]backup-simplify: Simplify (+ (* (* 1/2 k) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1537439716.036 * [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 1537439716.040 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))))) (* 0 (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))))) (* 0 (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))))))) into 0 1537439716.041 * [misc]backup-simplify: Simplify (+ (* (/ 1 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 1537439716.041 * [misc]taylor: Taking taylor expansion of 0 in k 1537439716.041 * [misc]backup-simplify: Simplify 0 into 0 1537439716.041 * [misc]backup-simplify: Simplify 0 into 0 1537439716.041 * [misc]backup-simplify: Simplify 0 into 0 1537439716.041 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439716.043 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1537439716.046 * [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 1537439716.048 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537439716.058 * [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 1537439716.058 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537439716.059 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1537439716.060 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (+ (log n) (log (* 2 PI)))) (* 0 0)))) into 0 1537439716.067 * [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 (+ (* 1/48 (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))))) 1537439716.088 * [misc]backup-simplify: Simplify (- (+ (* 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))))) 1)) (* (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) (/ (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))) 1)) (* (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))) (/ (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1)))) into (- (+ (* 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)))))) 1537439716.098 * [misc]backup-simplify: Simplify (+ (* 1 +nan.0) (+ (* (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) +nan.0) (+ (* (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))) +nan.0) (* (- (+ (* 1/48 (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)))))) 0)))) into (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ +nan.0 (- (* +nan.0 (pow (log (* 2 PI)) 2))))))))))))) 1537439716.104 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ +nan.0 (- (* +nan.0 (pow (log (* 2 PI)) 2))))))))))))) into (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- +nan.0))))))))))) 1537439716.112 * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- +nan.0))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (log n)) (- +nan.0))))) (* k 1)) (- +nan.0))) into (- (+ (* +nan.0 (pow k 2)) (- (+ (* +nan.0 (* (log (* 2 PI)) k)) (- (+ (* +nan.0 (* (log n) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (pow k 2))) (- (+ (* +nan.0 (* (log n) k)) (- (+ (* +nan.0 (* (pow (log n) 2) (pow k 2))) (- (+ (* +nan.0 k) (- +nan.0))))))))))))))))))) 1537439716.113 * [misc]backup-simplify: Simplify (/ (/ 1 (pow (* PI (* (/ 1 n) 2)) (/ (/ 1 k) 2))) (sqrt (/ 1 k))) into (* (/ 1 (pow (* 2 (/ PI n)) (/ 1/2 k))) (sqrt k)) 1537439716.113 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (/ 1/2 k))) (sqrt k)) in (n k) around 0 1537439716.113 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (/ 1/2 k))) (sqrt k)) in k 1537439716.113 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (/ 1/2 k))) in k 1537439716.113 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in k 1537439716.113 * [misc]taylor: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in k 1537439716.113 * [misc]taylor: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in k 1537439716.113 * [misc]taylor: Taking taylor expansion of (/ 1/2 k) in k 1537439716.113 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537439716.113 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439716.113 * [misc]taylor: Taking taylor expansion of k in k 1537439716.113 * [misc]backup-simplify: Simplify 0 into 0 1537439716.113 * [misc]backup-simplify: Simplify 1 into 1 1537439716.114 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 1537439716.114 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1537439716.114 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1537439716.114 * [misc]taylor: Taking taylor expansion of 2 in k 1537439716.114 * [misc]backup-simplify: Simplify 2 into 2 1537439716.114 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1537439716.114 * [misc]taylor: Taking taylor expansion of PI in k 1537439716.114 * [misc]backup-simplify: Simplify PI into PI 1537439716.114 * [misc]taylor: Taking taylor expansion of n in k 1537439716.114 * [misc]backup-simplify: Simplify n into n 1537439716.114 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537439716.114 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1537439716.114 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1537439716.115 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (/ PI n)))) into (* 1/2 (log (* 2 (/ PI n)))) 1537439716.115 * [misc]backup-simplify: Simplify (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) into (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 1537439716.115 * [misc]backup-simplify: Simplify (/ 1 (exp (* 1/2 (/ (log (* 2 (/ PI n))) k)))) into (/ 1 (exp (* 1/2 (/ (log (* 2 (/ PI n))) k)))) 1537439716.115 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1537439716.115 * [misc]taylor: Taking taylor expansion of k in k 1537439716.115 * [misc]backup-simplify: Simplify 0 into 0 1537439716.115 * [misc]backup-simplify: Simplify 1 into 1 1537439716.115 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537439716.116 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1537439716.116 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (/ 1/2 k))) (sqrt k)) in n 1537439716.116 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (/ 1/2 k))) in n 1537439716.116 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in n 1537439716.116 * [misc]taylor: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in n 1537439716.116 * [misc]taylor: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in n 1537439716.116 * [misc]taylor: Taking taylor expansion of (/ 1/2 k) in n 1537439716.116 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537439716.116 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439716.117 * [misc]taylor: Taking taylor expansion of k in n 1537439716.117 * [misc]backup-simplify: Simplify k into k 1537439716.117 * [misc]backup-simplify: Simplify (/ 1/2 k) into (/ 1/2 k) 1537439716.117 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1537439716.117 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537439716.117 * [misc]taylor: Taking taylor expansion of 2 in n 1537439716.117 * [misc]backup-simplify: Simplify 2 into 2 1537439716.117 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537439716.117 * [misc]taylor: Taking taylor expansion of PI in n 1537439716.117 * [misc]backup-simplify: Simplify PI into PI 1537439716.117 * [misc]taylor: Taking taylor expansion of n in n 1537439716.117 * [misc]backup-simplify: Simplify 0 into 0 1537439716.117 * [misc]backup-simplify: Simplify 1 into 1 1537439716.117 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537439716.118 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537439716.118 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537439716.119 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537439716.120 * [misc]backup-simplify: Simplify (* (/ 1/2 k) (- (log (* 2 PI)) (log n))) into (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1537439716.120 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537439716.121 * [misc]backup-simplify: Simplify (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) 1537439716.121 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1537439716.121 * [misc]taylor: Taking taylor expansion of k in n 1537439716.121 * [misc]backup-simplify: Simplify k into k 1537439716.121 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1537439716.121 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1537439716.122 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (/ 1/2 k))) (sqrt k)) in n 1537439716.122 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (/ 1/2 k))) in n 1537439716.122 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in n 1537439716.122 * [misc]taylor: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in n 1537439716.122 * [misc]taylor: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in n 1537439716.122 * [misc]taylor: Taking taylor expansion of (/ 1/2 k) in n 1537439716.122 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537439716.122 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439716.122 * [misc]taylor: Taking taylor expansion of k in n 1537439716.122 * [misc]backup-simplify: Simplify k into k 1537439716.122 * [misc]backup-simplify: Simplify (/ 1/2 k) into (/ 1/2 k) 1537439716.122 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1537439716.122 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537439716.122 * [misc]taylor: Taking taylor expansion of 2 in n 1537439716.122 * [misc]backup-simplify: Simplify 2 into 2 1537439716.122 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537439716.122 * [misc]taylor: Taking taylor expansion of PI in n 1537439716.122 * [misc]backup-simplify: Simplify PI into PI 1537439716.122 * [misc]taylor: Taking taylor expansion of n in n 1537439716.122 * [misc]backup-simplify: Simplify 0 into 0 1537439716.122 * [misc]backup-simplify: Simplify 1 into 1 1537439716.123 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537439716.123 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537439716.123 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537439716.124 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537439716.125 * [misc]backup-simplify: Simplify (* (/ 1/2 k) (- (log (* 2 PI)) (log n))) into (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1537439716.126 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537439716.126 * [misc]backup-simplify: Simplify (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) 1537439716.126 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1537439716.126 * [misc]taylor: Taking taylor expansion of k in n 1537439716.126 * [misc]backup-simplify: Simplify k into k 1537439716.126 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1537439716.127 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1537439716.127 * [misc]backup-simplify: Simplify (* (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (sqrt k)) into (* (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (sqrt k)) 1537439716.128 * [misc]taylor: Taking taylor expansion of (* (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (sqrt k)) in k 1537439716.128 * [misc]taylor: Taking taylor expansion of (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 1537439716.128 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1537439716.128 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1537439716.128 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537439716.128 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439716.128 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1537439716.128 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1537439716.128 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1537439716.128 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1537439716.128 * [misc]taylor: Taking taylor expansion of 2 in k 1537439716.128 * [misc]backup-simplify: Simplify 2 into 2 1537439716.128 * [misc]taylor: Taking taylor expansion of PI in k 1537439716.128 * [misc]backup-simplify: Simplify PI into PI 1537439716.128 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537439716.129 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537439716.129 * [misc]taylor: Taking taylor expansion of (log n) in k 1537439716.129 * [misc]taylor: Taking taylor expansion of n in k 1537439716.129 * [misc]backup-simplify: Simplify n into n 1537439716.129 * [misc]backup-simplify: Simplify (log n) into (log n) 1537439716.129 * [misc]taylor: Taking taylor expansion of k in k 1537439716.129 * [misc]backup-simplify: Simplify 0 into 0 1537439716.129 * [misc]backup-simplify: Simplify 1 into 1 1537439716.129 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1537439716.130 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1537439716.130 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1537439716.131 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n))) 1537439716.131 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537439716.132 * [misc]backup-simplify: Simplify (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) 1537439716.132 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1537439716.132 * [misc]taylor: Taking taylor expansion of k in k 1537439716.132 * [misc]backup-simplify: Simplify 0 into 0 1537439716.132 * [misc]backup-simplify: Simplify 1 into 1 1537439716.132 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537439716.132 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1537439716.133 * [misc]backup-simplify: Simplify (* (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) 0) into 0 1537439716.133 * [misc]backup-simplify: Simplify 0 into 0 1537439716.134 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537439716.134 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537439716.138 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537439716.138 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ 1/2 k) (/ 0 k)))) into 0 1537439716.139 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537439716.139 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1537439716.140 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1537439716.141 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1537439716.142 * [misc]backup-simplify: Simplify (+ (* (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) 0) (* 0 (sqrt k))) into 0 1537439716.142 * [misc]taylor: Taking taylor expansion of 0 in k 1537439716.142 * [misc]backup-simplify: Simplify 0 into 0 1537439716.142 * [misc]backup-simplify: Simplify 0 into 0 1537439716.143 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1537439716.143 * [misc]backup-simplify: Simplify (+ (* (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) 1537439716.144 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) 1537439716.144 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1537439716.145 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439716.146 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1537439716.150 * [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 1537439716.150 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ 1/2 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537439716.150 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537439716.151 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1537439716.152 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1537439716.154 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1537439716.154 * [misc]backup-simplify: Simplify (+ (* (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 1537439716.154 * [misc]taylor: Taking taylor expansion of 0 in k 1537439716.154 * [misc]backup-simplify: Simplify 0 into 0 1537439716.154 * [misc]backup-simplify: Simplify 0 into 0 1537439716.154 * [misc]backup-simplify: Simplify 0 into 0 1537439716.155 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1537439716.157 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1537439716.157 * [misc]backup-simplify: Simplify (+ (* (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) 1537439716.158 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) 1537439716.158 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1537439716.159 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439716.161 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537439716.171 * [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 1537439716.172 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ 1/2 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537439716.172 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537439716.173 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1537439716.176 * [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 1537439716.178 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1537439716.179 * [misc]backup-simplify: Simplify (+ (* (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 1537439716.179 * [misc]taylor: Taking taylor expansion of 0 in k 1537439716.179 * [misc]backup-simplify: Simplify 0 into 0 1537439716.179 * [misc]backup-simplify: Simplify 0 into 0 1537439716.179 * [misc]backup-simplify: Simplify 0 into 0 1537439716.179 * [misc]backup-simplify: Simplify 0 into 0 1537439716.180 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1537439716.182 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1537439716.183 * [misc]backup-simplify: Simplify (+ (* (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) 1537439716.183 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) 1537439716.185 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (pow k 3)))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (pow k 2)))) (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) k)))))))) 1537439716.185 * [misc]backup-simplify: Simplify (/ (/ 1 (pow (* PI (* (/ 1 (- n)) 2)) (/ (/ 1 (- k)) 2))) (sqrt (/ 1 (- k)))) into (/ 1 (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) 1537439716.185 * [misc]approximate: Taking taylor expansion of (/ 1 (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) in (n k) around 0 1537439716.185 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) in k 1537439716.185 * [misc]taylor: Taking taylor expansion of (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k))) in k 1537439716.185 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in k 1537439716.185 * [misc]taylor: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in k 1537439716.185 * [misc]taylor: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in k 1537439716.185 * [misc]taylor: Taking taylor expansion of (/ -1/2 k) in k 1537439716.185 * [misc]taylor: Taking taylor expansion of -1/2 in k 1537439716.186 * [misc]backup-simplify: Simplify -1/2 into -1/2 1537439716.186 * [misc]taylor: Taking taylor expansion of k in k 1537439716.186 * [misc]backup-simplify: Simplify 0 into 0 1537439716.186 * [misc]backup-simplify: Simplify 1 into 1 1537439716.186 * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 1537439716.186 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1537439716.186 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1537439716.186 * [misc]taylor: Taking taylor expansion of -2 in k 1537439716.186 * [misc]backup-simplify: Simplify -2 into -2 1537439716.186 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1537439716.186 * [misc]taylor: Taking taylor expansion of PI in k 1537439716.186 * [misc]backup-simplify: Simplify PI into PI 1537439716.186 * [misc]taylor: Taking taylor expansion of n in k 1537439716.186 * [misc]backup-simplify: Simplify n into n 1537439716.186 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537439716.186 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1537439716.186 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1537439716.186 * [misc]backup-simplify: Simplify (* -1/2 (log (* -2 (/ PI n)))) into (* -1/2 (log (* -2 (/ PI n)))) 1537439716.186 * [misc]backup-simplify: Simplify (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) into (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) 1537439716.186 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1537439716.186 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1537439716.186 * [misc]taylor: Taking taylor expansion of -1 in k 1537439716.186 * [misc]backup-simplify: Simplify -1 into -1 1537439716.186 * [misc]taylor: Taking taylor expansion of k in k 1537439716.186 * [misc]backup-simplify: Simplify 0 into 0 1537439716.186 * [misc]backup-simplify: Simplify 1 into 1 1537439716.186 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1537439716.187 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537439716.187 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1537439716.187 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) 0) into 0 1537439716.187 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))))) 1537439716.188 * [misc]backup-simplify: Simplify (/ 1 (- (* +nan.0 (exp (* -1/2 (/ (log (* -2 (/ PI n))) k)))))) into (/ +nan.0 (exp (* -1/2 (/ (log (* -2 (/ PI n))) k)))) 1537439716.188 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) in n 1537439716.188 * [misc]taylor: Taking taylor expansion of (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k))) in n 1537439716.188 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in n 1537439716.188 * [misc]taylor: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in n 1537439716.188 * [misc]taylor: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in n 1537439716.188 * [misc]taylor: Taking taylor expansion of (/ -1/2 k) in n 1537439716.188 * [misc]taylor: Taking taylor expansion of -1/2 in n 1537439716.188 * [misc]backup-simplify: Simplify -1/2 into -1/2 1537439716.188 * [misc]taylor: Taking taylor expansion of k in n 1537439716.188 * [misc]backup-simplify: Simplify k into k 1537439716.188 * [misc]backup-simplify: Simplify (/ -1/2 k) into (/ -1/2 k) 1537439716.188 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1537439716.188 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537439716.188 * [misc]taylor: Taking taylor expansion of -2 in n 1537439716.188 * [misc]backup-simplify: Simplify -2 into -2 1537439716.188 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537439716.188 * [misc]taylor: Taking taylor expansion of PI in n 1537439716.188 * [misc]backup-simplify: Simplify PI into PI 1537439716.188 * [misc]taylor: Taking taylor expansion of n in n 1537439716.188 * [misc]backup-simplify: Simplify 0 into 0 1537439716.188 * [misc]backup-simplify: Simplify 1 into 1 1537439716.188 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537439716.189 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537439716.189 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537439716.189 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537439716.190 * [misc]backup-simplify: Simplify (* (/ -1/2 k) (- (log (* -2 PI)) (log n))) into (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) 1537439716.190 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1537439716.190 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1537439716.190 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1537439716.190 * [misc]taylor: Taking taylor expansion of -1 in n 1537439716.190 * [misc]backup-simplify: Simplify -1 into -1 1537439716.190 * [misc]taylor: Taking taylor expansion of k in n 1537439716.190 * [misc]backup-simplify: Simplify k into k 1537439716.190 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1537439716.190 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1537439716.191 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1537439716.191 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1537439716.191 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))) into (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) 1537439716.192 * [misc]backup-simplify: Simplify (/ 1 (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into (/ 1 (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1537439716.192 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) in n 1537439716.192 * [misc]taylor: Taking taylor expansion of (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k))) in n 1537439716.192 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in n 1537439716.192 * [misc]taylor: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in n 1537439716.192 * [misc]taylor: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in n 1537439716.192 * [misc]taylor: Taking taylor expansion of (/ -1/2 k) in n 1537439716.192 * [misc]taylor: Taking taylor expansion of -1/2 in n 1537439716.192 * [misc]backup-simplify: Simplify -1/2 into -1/2 1537439716.192 * [misc]taylor: Taking taylor expansion of k in n 1537439716.192 * [misc]backup-simplify: Simplify k into k 1537439716.192 * [misc]backup-simplify: Simplify (/ -1/2 k) into (/ -1/2 k) 1537439716.192 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1537439716.192 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537439716.192 * [misc]taylor: Taking taylor expansion of -2 in n 1537439716.192 * [misc]backup-simplify: Simplify -2 into -2 1537439716.192 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537439716.192 * [misc]taylor: Taking taylor expansion of PI in n 1537439716.192 * [misc]backup-simplify: Simplify PI into PI 1537439716.192 * [misc]taylor: Taking taylor expansion of n in n 1537439716.192 * [misc]backup-simplify: Simplify 0 into 0 1537439716.192 * [misc]backup-simplify: Simplify 1 into 1 1537439716.192 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537439716.192 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537439716.193 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537439716.193 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537439716.194 * [misc]backup-simplify: Simplify (* (/ -1/2 k) (- (log (* -2 PI)) (log n))) into (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) 1537439716.194 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1537439716.194 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1537439716.194 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1537439716.194 * [misc]taylor: Taking taylor expansion of -1 in n 1537439716.194 * [misc]backup-simplify: Simplify -1 into -1 1537439716.194 * [misc]taylor: Taking taylor expansion of k in n 1537439716.194 * [misc]backup-simplify: Simplify k into k 1537439716.194 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1537439716.194 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1537439716.194 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1537439716.194 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1537439716.195 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))) into (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) 1537439716.195 * [misc]backup-simplify: Simplify (/ 1 (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into (/ 1 (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1537439716.195 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) in k 1537439716.195 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) in k 1537439716.196 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1537439716.196 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1537439716.196 * [misc]taylor: Taking taylor expansion of -1 in k 1537439716.196 * [misc]backup-simplify: Simplify -1 into -1 1537439716.196 * [misc]taylor: Taking taylor expansion of k in k 1537439716.196 * [misc]backup-simplify: Simplify 0 into 0 1537439716.196 * [misc]backup-simplify: Simplify 1 into 1 1537439716.196 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1537439716.196 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537439716.196 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1537439716.196 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k 1537439716.196 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k 1537439716.196 * [misc]taylor: Taking taylor expansion of -1/2 in k 1537439716.196 * [misc]backup-simplify: Simplify -1/2 into -1/2 1537439716.196 * [misc]taylor: Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k 1537439716.196 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1537439716.196 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1537439716.196 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1537439716.196 * [misc]taylor: Taking taylor expansion of -2 in k 1537439716.196 * [misc]backup-simplify: Simplify -2 into -2 1537439716.196 * [misc]taylor: Taking taylor expansion of PI in k 1537439716.196 * [misc]backup-simplify: Simplify PI into PI 1537439716.197 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537439716.197 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537439716.197 * [misc]taylor: Taking taylor expansion of (log n) in k 1537439716.197 * [misc]taylor: Taking taylor expansion of n in k 1537439716.197 * [misc]backup-simplify: Simplify n into n 1537439716.197 * [misc]backup-simplify: Simplify (log n) into (log n) 1537439716.197 * [misc]taylor: Taking taylor expansion of k in k 1537439716.197 * [misc]backup-simplify: Simplify 0 into 0 1537439716.197 * [misc]backup-simplify: Simplify 1 into 1 1537439716.197 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1537439716.198 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1537439716.198 * [misc]backup-simplify: Simplify (/ (- (log (* -2 PI)) (log n)) 1) into (- (log (* -2 PI)) (log n)) 1537439716.198 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* -2 PI)) (log n))) into (* -1/2 (- (log (* -2 PI)) (log n))) 1537439716.199 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1537439716.199 * [misc]backup-simplify: Simplify (* 0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) into 0 1537439716.200 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1537439716.200 * [misc]backup-simplify: Simplify (/ 1 (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (/ +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) 1537439716.201 * [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)))) 1537439716.202 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537439716.202 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537439716.204 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1537439716.205 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1/2 k) (/ 0 k)))) into 0 1537439716.205 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537439716.206 * [misc]backup-simplify: Simplify (+ (* (/ -1/2 k) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1537439716.208 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1537439716.209 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 0) (* 0 (sqrt (/ -1 k)))) into 0 1537439716.210 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (/ 0 (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))))) into 0 1537439716.210 * [misc]taylor: Taking taylor expansion of 0 in k 1537439716.210 * [misc]backup-simplify: Simplify 0 into 0 1537439716.210 * [misc]backup-simplify: Simplify 0 into 0 1537439716.211 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1537439716.212 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1537439716.213 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1537439716.215 * [misc]backup-simplify: Simplify (- (+ (* (/ +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (/ (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))))) into (- (* +nan.0 (/ 1 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1537439716.216 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ 1 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1537439716.217 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537439716.217 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1537439716.219 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439716.220 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1537439716.226 * [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 1537439716.226 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1/2 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537439716.227 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537439716.229 * [misc]backup-simplify: Simplify (+ (* (/ -1/2 k) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1537439716.231 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1537439716.232 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 0) (+ (* 0 0) (* 0 (sqrt (/ -1 k))))) into 0 1537439716.235 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (/ 0 (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) (* 0 (/ 0 (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))))) into 0 1537439716.235 * [misc]taylor: Taking taylor expansion of 0 in k 1537439716.235 * [misc]backup-simplify: Simplify 0 into 0 1537439716.235 * [misc]backup-simplify: Simplify 0 into 0 1537439716.235 * [misc]backup-simplify: Simplify 0 into 0 1537439716.235 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439716.236 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1537439716.237 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))) into (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1537439716.240 * [misc]backup-simplify: Simplify (- (+ (* (/ +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (/ (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))) (* (- (* +nan.0 (/ 1 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) (/ (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))))) into (- (* +nan.0 (/ 1 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1537439716.240 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ 1 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1537439716.242 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* -1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k)))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (/ 1 (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 (/ 1 (* (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k)))))))))) 1537439716.242 * * * [misc]progress: simplifying candidates 1537439716.242 * * * * [misc]progress: [ 1 / 110 ] simplifiying candidate # 1537439716.242 * * * * [misc]progress: [ 2 / 110 ] simplifiying candidate # 1537439716.242 * * * * [misc]progress: [ 3 / 110 ] simplifiying candidate # 1537439716.242 * * * * [misc]progress: [ 4 / 110 ] simplifiying candidate # 1537439716.243 * * * * [misc]progress: [ 5 / 110 ] simplifiying candidate # 1537439716.243 * * * * [misc]progress: [ 6 / 110 ] simplifiying candidate # 1537439716.243 * * * * [misc]progress: [ 7 / 110 ] simplifiying candidate # 1537439716.243 * * * * [misc]progress: [ 8 / 110 ] simplifiying candidate # 1537439716.243 * * * * [misc]progress: [ 9 / 110 ] simplifiying candidate # 1537439716.243 * * * * [misc]progress: [ 10 / 110 ] simplifiying candidate # 1537439716.243 * * * * [misc]progress: [ 11 / 110 ] simplifiying candidate # 1537439716.243 * * * * [misc]progress: [ 12 / 110 ] simplifiying candidate # 1537439716.243 * * * * [misc]progress: [ 13 / 110 ] simplifiying candidate # 1537439716.243 * * * * [misc]progress: [ 14 / 110 ] simplifiying candidate # 1537439716.243 * * * * [misc]progress: [ 15 / 110 ] simplifiying candidate # 1537439716.243 * * * * [misc]progress: [ 16 / 110 ] simplifiying candidate # 1537439716.243 * * * * [misc]progress: [ 17 / 110 ] simplifiying candidate # 1537439716.243 * * * * [misc]progress: [ 18 / 110 ] simplifiying candidate # 1537439716.243 * * * * [misc]progress: [ 19 / 110 ] simplifiying candidate # 1537439716.243 * * * * [misc]progress: [ 20 / 110 ] simplifiying candidate # 1537439716.243 * * * * [misc]progress: [ 21 / 110 ] simplifiying candidate # 1537439716.243 * * * * [misc]progress: [ 22 / 110 ] simplifiying candidate # 1537439716.243 * * * * [misc]progress: [ 23 / 110 ] simplifiying candidate # 1537439716.243 * * * * [misc]progress: [ 24 / 110 ] simplifiying candidate # 1537439716.243 * * * * [misc]progress: [ 25 / 110 ] simplifiying candidate # 1537439716.243 * [enter]simplify: Simplifying (* (sqrt (* (* PI 2) n)) (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt k))) 1537439716.244 * * [misc]simplify: iters left: 6 (16 enodes) 1537439716.248 * * [misc]simplify: iters left: 5 (30 enodes) 1537439716.256 * * [misc]simplify: iters left: 4 (46 enodes) 1537439716.265 * * [misc]simplify: iters left: 3 (64 enodes) 1537439716.298 * * [misc]simplify: iters left: 2 (135 enodes) 1537439716.394 * * [misc]simplify: iters left: 1 (344 enodes) 1537439716.617 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (* (pow (* (* PI 2) n) (/ k 2)) (sqrt k))) 1537439716.617 * [misc]simplify: Simplified (2 1) to (λ (k n) (pow (/ (sqrt (* (* PI 2) n)) (* (pow (* (* PI 2) n) (/ k 2)) (sqrt k))) 1)) 1537439716.617 * * * * [misc]progress: [ 26 / 110 ] simplifiying candidate # 1537439716.617 * * * * [misc]progress: [ 27 / 110 ] simplifiying candidate # 1537439716.618 * [enter]simplify: Simplifying (+ (log (sqrt (* (* PI 2) n))) (- (- (* (log (* PI (* n 2))) (/ k 2))) (log (sqrt k)))) 1537439716.620 * * [misc]simplify: iters left: 6 (18 enodes) 1537439716.629 * * [misc]simplify: iters left: 5 (40 enodes) 1537439716.649 * * [misc]simplify: iters left: 4 (82 enodes) 1537439716.694 * * [misc]simplify: iters left: 3 (187 enodes) 1537439716.769 * * [misc]simplify: iters left: 2 (434 enodes) 1537439717.104 * [exit]simplify: Simplified to (- (log (sqrt (* 2 (* n PI)))) (fma (/ k 2) (log (* 2 (* n PI))) (log (sqrt k)))) 1537439717.104 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (log (sqrt (* 2 (* n PI)))) (fma (/ k 2) (log (* 2 (* n PI))) (log (sqrt k)))))) 1537439717.104 * * * * [misc]progress: [ 28 / 110 ] simplifiying candidate # 1537439717.104 * [enter]simplify: Simplifying (+ (log (sqrt (* (* PI 2) n))) (- (- (* (log (* PI (* n 2))) (/ k 2))) (log (sqrt k)))) 1537439717.106 * * [misc]simplify: iters left: 6 (18 enodes) 1537439717.111 * * [misc]simplify: iters left: 5 (40 enodes) 1537439717.121 * * [misc]simplify: iters left: 4 (82 enodes) 1537439717.149 * * [misc]simplify: iters left: 3 (187 enodes) 1537439717.237 * * [misc]simplify: iters left: 2 (434 enodes) 1537439717.493 * [exit]simplify: Simplified to (- (log (sqrt (* 2 (* n PI)))) (fma (/ k 2) (log (* 2 (* n PI))) (log (sqrt k)))) 1537439717.493 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (log (sqrt (* 2 (* n PI)))) (fma (/ k 2) (log (* 2 (* n PI))) (log (sqrt k)))))) 1537439717.493 * * * * [misc]progress: [ 29 / 110 ] simplifiying candidate # 1537439717.493 * [enter]simplify: Simplifying (+ (log (sqrt (* (* PI 2) n))) (- (- (log (pow (* PI (* n 2)) (/ k 2)))) (log (sqrt k)))) 1537439717.495 * * [misc]simplify: iters left: 6 (18 enodes) 1537439717.503 * * [misc]simplify: iters left: 5 (32 enodes) 1537439717.519 * * [misc]simplify: iters left: 4 (66 enodes) 1537439717.551 * * [misc]simplify: iters left: 3 (183 enodes) 1537439717.707 * [exit]simplify: Simplified to (- (log (sqrt (* 2 (* n PI)))) (fma (log (* 2 (* n PI))) (/ k 2) (log (sqrt k)))) 1537439717.707 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (log (sqrt (* 2 (* n PI)))) (fma (log (* 2 (* n PI))) (/ k 2) (log (sqrt k)))))) 1537439717.708 * * * * [misc]progress: [ 30 / 110 ] simplifiying candidate # 1537439717.708 * [enter]simplify: Simplifying (+ (log (sqrt (* (* PI 2) n))) (- (log (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (log (sqrt k)))) 1537439717.710 * * [misc]simplify: iters left: 6 (19 enodes) 1537439717.720 * * [misc]simplify: iters left: 5 (37 enodes) 1537439717.734 * * [misc]simplify: iters left: 4 (53 enodes) 1537439717.747 * * [misc]simplify: iters left: 3 (95 enodes) 1537439717.781 * * [misc]simplify: iters left: 2 (284 enodes) 1537439718.265 * [exit]simplify: Simplified to (- (log (sqrt (* PI (* n 2)))) (fma (log (* PI (* n 2))) (/ k 2) (log (sqrt k)))) 1537439718.265 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (log (sqrt (* PI (* n 2)))) (fma (log (* PI (* n 2))) (/ k 2) (log (sqrt k)))))) 1537439718.265 * * * * [misc]progress: [ 31 / 110 ] simplifiying candidate # 1537439718.265 * [enter]simplify: Simplifying (+ (log (sqrt (* (* PI 2) n))) (log (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))) 1537439718.267 * * [misc]simplify: iters left: 6 (18 enodes) 1537439718.274 * * [misc]simplify: iters left: 5 (33 enodes) 1537439718.287 * * [misc]simplify: iters left: 4 (52 enodes) 1537439718.301 * * [misc]simplify: iters left: 3 (70 enodes) 1537439718.315 * * [misc]simplify: iters left: 2 (122 enodes) 1537439718.382 * * [misc]simplify: iters left: 1 (318 enodes) 1537439718.829 * [exit]simplify: Simplified to (- (log (sqrt (* PI (* n 2)))) (fma (/ k 2) (log (* PI (* n 2))) (log (sqrt k)))) 1537439718.829 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (log (sqrt (* PI (* n 2)))) (fma (/ k 2) (log (* PI (* n 2))) (log (sqrt k)))))) 1537439718.829 * * * * [misc]progress: [ 32 / 110 ] simplifiying candidate # 1537439718.829 * * * * [misc]progress: [ 33 / 110 ] simplifiying candidate # 1537439718.829 * * * * [misc]progress: [ 34 / 110 ] simplifiying candidate # 1537439718.829 * [enter]simplify: Simplifying (* (* (* (sqrt (* (* PI 2) n)) (sqrt (* (* PI 2) n))) (sqrt (* (* PI 2) n))) (/ (* (* (/ 1 (pow (* PI (* n 2)) (/ k 2))) (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k)))) 1537439718.831 * * [misc]simplify: iters left: 6 (22 enodes) 1537439718.838 * * [misc]simplify: iters left: 5 (52 enodes) 1537439718.859 * * [misc]simplify: iters left: 4 (169 enodes) 1537439719.063 * [exit]simplify: Simplified to (/ (* (* (sqrt (* 2 (* n PI))) (* 2 (* n PI))) (/ 1 (pow (* 2 (* n PI)) (/ k 2)))) (* (pow (* 2 (* n PI)) (/ k 2)) (* (* k (sqrt k)) (pow (* 2 (* n PI)) (/ k 2))))) 1537439719.063 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (/ (* (* (sqrt (* 2 (* n PI))) (* 2 (* n PI))) (/ 1 (pow (* 2 (* n PI)) (/ k 2)))) (* (pow (* 2 (* n PI)) (/ k 2)) (* (* k (sqrt k)) (pow (* 2 (* n PI)) (/ k 2))))))) 1537439719.063 * * * * [misc]progress: [ 35 / 110 ] simplifiying candidate # 1537439719.063 * [enter]simplify: Simplifying (* (* (* (sqrt (* (* PI 2) n)) (sqrt (* (* PI 2) n))) (sqrt (* (* PI 2) n))) (* (* (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt k)) (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt k))) (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))) 1537439719.065 * * [misc]simplify: iters left: 6 (20 enodes) 1537439719.070 * * [misc]simplify: iters left: 5 (44 enodes) 1537439719.086 * * [misc]simplify: iters left: 4 (139 enodes) 1537439719.246 * [exit]simplify: Simplified to (* (* (* (sqrt (* (* PI 2) n)) (* (* PI 2) n)) (/ (/ 1 (sqrt k)) (pow (* (* PI 2) n) (/ k 2)))) (* (/ (/ 1 (sqrt k)) (pow (* (* PI 2) n) (/ k 2))) (/ (/ 1 (sqrt k)) (pow (* (* PI 2) n) (/ k 2))))) 1537439719.246 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (* (* (sqrt (* (* PI 2) n)) (* (* PI 2) n)) (/ (/ 1 (sqrt k)) (pow (* (* PI 2) n) (/ k 2)))) (* (/ (/ 1 (sqrt k)) (pow (* (* PI 2) n) (/ k 2))) (/ (/ 1 (sqrt k)) (pow (* (* PI 2) n) (/ k 2))))))) 1537439719.246 * * * * [misc]progress: [ 36 / 110 ] simplifiying candidate # 1537439719.246 * * * * [misc]progress: [ 37 / 110 ] simplifiying candidate # 1537439719.246 * * * * [misc]progress: [ 38 / 110 ] simplifiying candidate # 1537439719.246 * * * * [misc]progress: [ 39 / 110 ] simplifiying candidate # 1537439719.246 * * * * [misc]progress: [ 40 / 110 ] simplifiying candidate # 1537439719.247 * [enter]simplify: Simplifying (cbrt (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt k))) 1537439719.247 * * [misc]simplify: iters left: 6 (13 enodes) 1537439719.250 * * [misc]simplify: iters left: 5 (21 enodes) 1537439719.254 * * [misc]simplify: iters left: 4 (30 enodes) 1537439719.259 * * [misc]simplify: iters left: 3 (31 enodes) 1537439719.264 * [exit]simplify: Simplified to (cbrt (/ (/ 1 (sqrt k)) (pow (* (* n PI) 2) (/ k 2)))) 1537439719.264 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (* (cbrt (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt k))) (cbrt (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt k))))) (cbrt (/ (/ 1 (sqrt k)) (pow (* (* n PI) 2) (/ k 2)))))) 1537439719.264 * * * * [misc]progress: [ 41 / 110 ] simplifiying candidate # 1537439719.264 * [enter]simplify: Simplifying (sqrt (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt k))) 1537439719.265 * * [misc]simplify: iters left: 6 (13 enodes) 1537439719.267 * * [misc]simplify: iters left: 5 (21 enodes) 1537439719.271 * * [misc]simplify: iters left: 4 (30 enodes) 1537439719.276 * * [misc]simplify: iters left: 3 (31 enodes) 1537439719.281 * [exit]simplify: Simplified to (sqrt (/ (/ 1 (sqrt k)) (pow (* (* n PI) 2) (/ k 2)))) 1537439719.281 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (sqrt (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))) (sqrt (/ (/ 1 (sqrt k)) (pow (* (* n PI) 2) (/ k 2)))))) 1537439719.281 * * * * [misc]progress: [ 42 / 110 ] simplifiying candidate # 1537439719.282 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k))) 1537439719.284 * * [misc]simplify: iters left: 6 (14 enodes) 1537439719.287 * * [misc]simplify: iters left: 5 (20 enodes) 1537439719.290 * * [misc]simplify: iters left: 4 (26 enodes) 1537439719.294 * * [misc]simplify: iters left: 3 (27 enodes) 1537439719.299 * [exit]simplify: Simplified to (/ (cbrt (/ 1 (pow (* 2 (* n PI)) (/ k 2)))) (cbrt (sqrt k))) 1537439719.299 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (* (cbrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (cbrt (/ 1 (pow (* PI (* n 2)) (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt (/ 1 (pow (* 2 (* n PI)) (/ k 2)))) (cbrt (sqrt k))))) 1537439719.299 * * * * [misc]progress: [ 43 / 110 ] simplifiying candidate # 1537439719.299 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k))) 1537439719.300 * * [misc]simplify: iters left: 6 (14 enodes) 1537439719.302 * * [misc]simplify: iters left: 5 (20 enodes) 1537439719.309 * * [misc]simplify: iters left: 4 (26 enodes) 1537439719.316 * * [misc]simplify: iters left: 3 (27 enodes) 1537439719.326 * [exit]simplify: Simplified to (/ (cbrt (/ 1 (pow (* 2 (* n PI)) (/ k 2)))) (sqrt (sqrt k))) 1537439719.326 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (* (cbrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (cbrt (/ 1 (pow (* PI (* n 2)) (/ k 2))))) (sqrt (sqrt k)))) (/ (cbrt (/ 1 (pow (* 2 (* n PI)) (/ k 2)))) (sqrt (sqrt k))))) 1537439719.326 * * * * [misc]progress: [ 44 / 110 ] simplifiying candidate # 1537439719.326 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (sqrt k)) 1537439719.327 * * [misc]simplify: iters left: 6 (13 enodes) 1537439719.332 * * [misc]simplify: iters left: 5 (19 enodes) 1537439719.339 * * [misc]simplify: iters left: 4 (25 enodes) 1537439719.346 * * [misc]simplify: iters left: 3 (26 enodes) 1537439719.355 * [exit]simplify: Simplified to (/ (cbrt (/ 1 (pow (* (* n PI) 2) (/ k 2)))) (sqrt k)) 1537439719.355 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (* (cbrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (cbrt (/ 1 (pow (* PI (* n 2)) (/ k 2))))) 1)) (/ (cbrt (/ 1 (pow (* (* n PI) 2) (/ k 2)))) (sqrt k)))) 1537439719.355 * * * * [misc]progress: [ 45 / 110 ] simplifiying candidate # 1537439719.355 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k))) 1537439719.356 * * [misc]simplify: iters left: 6 (14 enodes) 1537439719.362 * * [misc]simplify: iters left: 5 (20 enodes) 1537439719.369 * * [misc]simplify: iters left: 4 (26 enodes) 1537439719.377 * * [misc]simplify: iters left: 3 (27 enodes) 1537439719.387 * [exit]simplify: Simplified to (/ (sqrt (/ 1 (pow (* 2 (* n PI)) (/ k 2)))) (cbrt (sqrt k))) 1537439719.387 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (sqrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (/ 1 (pow (* 2 (* n PI)) (/ k 2)))) (cbrt (sqrt k))))) 1537439719.387 * * * * [misc]progress: [ 46 / 110 ] simplifiying candidate # 1537439719.387 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k))) 1537439719.389 * * [misc]simplify: iters left: 6 (14 enodes) 1537439719.393 * * [misc]simplify: iters left: 5 (20 enodes) 1537439719.399 * * [misc]simplify: iters left: 4 (26 enodes) 1537439719.403 * * [misc]simplify: iters left: 3 (27 enodes) 1537439719.408 * [exit]simplify: Simplified to (/ (sqrt (/ 1 (pow (* 2 (* n PI)) (/ k 2)))) (sqrt (sqrt k))) 1537439719.408 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (sqrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (/ 1 (pow (* 2 (* n PI)) (/ k 2)))) (sqrt (sqrt k))))) 1537439719.408 * * * * [misc]progress: [ 47 / 110 ] simplifiying candidate # 1537439719.408 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (sqrt k)) 1537439719.409 * * [misc]simplify: iters left: 6 (13 enodes) 1537439719.411 * * [misc]simplify: iters left: 5 (19 enodes) 1537439719.414 * * [misc]simplify: iters left: 4 (25 enodes) 1537439719.418 * * [misc]simplify: iters left: 3 (26 enodes) 1537439719.423 * [exit]simplify: Simplified to (/ (sqrt (/ 1 (pow (* (* n PI) 2) (/ k 2)))) (sqrt k)) 1537439719.423 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (sqrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))) 1)) (/ (sqrt (/ 1 (pow (* (* n PI) 2) (/ k 2)))) (sqrt k)))) 1537439719.423 * * * * [misc]progress: [ 48 / 110 ] simplifiying candidate # 1537439719.423 * [enter]simplify: Simplifying (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (cbrt (sqrt k))) 1537439719.424 * * [misc]simplify: iters left: 6 (13 enodes) 1537439719.429 * * [misc]simplify: iters left: 5 (21 enodes) 1537439719.436 * * [misc]simplify: iters left: 4 (30 enodes) 1537439719.443 * * [misc]simplify: iters left: 3 (31 enodes) 1537439719.451 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (pow (* (* n PI) 2) (/ k 2))) 1537439719.452 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ 1 (cbrt (sqrt k))) (pow (* (* n PI) 2) (/ k 2))))) 1537439719.452 * * * * [misc]progress: [ 49 / 110 ] simplifiying candidate # 1537439719.452 * [enter]simplify: Simplifying (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k))) 1537439719.453 * * [misc]simplify: iters left: 6 (13 enodes) 1537439719.457 * * [misc]simplify: iters left: 5 (21 enodes) 1537439719.464 * * [misc]simplify: iters left: 4 (30 enodes) 1537439719.472 * * [misc]simplify: iters left: 3 (31 enodes) 1537439719.481 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt k))) (pow (* (* n PI) 2) (/ k 2))) 1537439719.481 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ 1 (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (pow (* (* n PI) 2) (/ k 2))))) 1537439719.481 * * * * [misc]progress: [ 50 / 110 ] simplifiying candidate # 1537439719.481 * [enter]simplify: Simplifying (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt k)) 1537439719.482 * * [misc]simplify: iters left: 6 (12 enodes) 1537439719.488 * * [misc]simplify: iters left: 5 (20 enodes) 1537439719.496 * * [misc]simplify: iters left: 4 (29 enodes) 1537439719.507 * * [misc]simplify: iters left: 3 (30 enodes) 1537439719.512 * [exit]simplify: Simplified to (/ (/ 1 (sqrt k)) (pow (* (* n PI) 2) (/ k 2))) 1537439719.512 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ 1 1)) (/ (/ 1 (sqrt k)) (pow (* (* n PI) 2) (/ k 2))))) 1537439719.512 * * * * [misc]progress: [ 51 / 110 ] simplifiying candidate # 1537439719.512 * [enter]simplify: Simplifying (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (cbrt (sqrt k))) 1537439719.513 * * [misc]simplify: iters left: 6 (13 enodes) 1537439719.515 * * [misc]simplify: iters left: 5 (21 enodes) 1537439719.519 * * [misc]simplify: iters left: 4 (30 enodes) 1537439719.524 * * [misc]simplify: iters left: 3 (31 enodes) 1537439719.529 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (pow (* (* n PI) 2) (/ k 2))) 1537439719.529 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ 1 (cbrt (sqrt k))) (pow (* (* n PI) 2) (/ k 2))))) 1537439719.529 * * * * [misc]progress: [ 52 / 110 ] simplifiying candidate # 1537439719.529 * [enter]simplify: Simplifying (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k))) 1537439719.530 * * [misc]simplify: iters left: 6 (13 enodes) 1537439719.533 * * [misc]simplify: iters left: 5 (21 enodes) 1537439719.537 * * [misc]simplify: iters left: 4 (30 enodes) 1537439719.542 * * [misc]simplify: iters left: 3 (31 enodes) 1537439719.547 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt k))) (pow (* (* n PI) 2) (/ k 2))) 1537439719.547 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ 1 (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (pow (* (* n PI) 2) (/ k 2))))) 1537439719.547 * * * * [misc]progress: [ 53 / 110 ] simplifiying candidate # 1537439719.547 * [enter]simplify: Simplifying (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt k)) 1537439719.547 * * [misc]simplify: iters left: 6 (12 enodes) 1537439719.550 * * [misc]simplify: iters left: 5 (20 enodes) 1537439719.554 * * [misc]simplify: iters left: 4 (29 enodes) 1537439719.558 * * [misc]simplify: iters left: 3 (30 enodes) 1537439719.563 * [exit]simplify: Simplified to (/ (/ 1 (sqrt k)) (pow (* (* n PI) 2) (/ k 2))) 1537439719.563 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ 1 1)) (/ (/ 1 (sqrt k)) (pow (* (* n PI) 2) (/ k 2))))) 1537439719.563 * * * * [misc]progress: [ 54 / 110 ] simplifiying candidate # 1537439719.563 * [enter]simplify: Simplifying (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt k)) 1537439719.564 * * [misc]simplify: iters left: 6 (12 enodes) 1537439719.569 * * [misc]simplify: iters left: 5 (20 enodes) 1537439719.576 * * [misc]simplify: iters left: 4 (29 enodes) 1537439719.587 * * [misc]simplify: iters left: 3 (30 enodes) 1537439719.597 * [exit]simplify: Simplified to (/ (/ 1 (sqrt k)) (pow (* (* n PI) 2) (/ k 2))) 1537439719.597 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) 1) (/ (/ 1 (sqrt k)) (pow (* (* n PI) 2) (/ k 2))))) 1537439719.597 * * * * [misc]progress: [ 55 / 110 ] simplifiying candidate # 1537439719.597 * [enter]simplify: Simplifying (/ 1 (sqrt k)) 1537439719.598 * * [misc]simplify: iters left: 3 (4 enodes) 1537439719.599 * * [misc]simplify: iters left: 2 (6 enodes) 1537439719.601 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1537439719.601 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (/ 1 (sqrt k)))) 1537439719.601 * * * * [misc]progress: [ 56 / 110 ] simplifiying candidate # 1537439719.602 * [enter]simplify: Simplifying (* (cbrt (sqrt (* (* PI 2) n))) (cbrt (sqrt (* (* PI 2) n)))) 1537439719.602 * * [misc]simplify: iters left: 6 (8 enodes) 1537439719.606 * * [misc]simplify: iters left: 5 (12 enodes) 1537439719.611 * * [misc]simplify: iters left: 4 (18 enodes) 1537439719.617 * * [misc]simplify: iters left: 3 (20 enodes) 1537439719.624 * [exit]simplify: Simplified to (* (cbrt (sqrt (* PI (* n 2)))) (cbrt (sqrt (* PI (* n 2))))) 1537439719.624 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (sqrt (* PI (* n 2)))) (cbrt (sqrt (* PI (* n 2))))) (* (cbrt (sqrt (* (* PI 2) n))) (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt k))))) 1537439719.624 * * * * [misc]progress: [ 57 / 110 ] simplifiying candidate # 1537439719.625 * [enter]simplify: Simplifying (sqrt (* PI 2)) 1537439719.625 * * [misc]simplify: iters left: 3 (4 enodes) 1537439719.627 * * [misc]simplify: iters left: 2 (5 enodes) 1537439719.628 * [exit]simplify: Simplified to (sqrt (* PI 2)) 1537439719.628 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* PI 2)) (* (sqrt n) (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt k))))) 1537439719.628 * * * * [misc]progress: [ 58 / 110 ] simplifiying candidate # 1537439719.629 * [enter]simplify: Simplifying (sqrt (sqrt (* (* PI 2) n))) 1537439719.629 * * [misc]simplify: iters left: 6 (7 enodes) 1537439719.632 * * [misc]simplify: iters left: 5 (11 enodes) 1537439719.637 * * [misc]simplify: iters left: 4 (17 enodes) 1537439719.643 * * [misc]simplify: iters left: 3 (19 enodes) 1537439719.649 * [exit]simplify: Simplified to (sqrt (sqrt (* (* PI 2) n))) 1537439719.649 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (sqrt (* (* PI 2) n))) (* (sqrt (sqrt (* (* PI 2) n))) (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt k))))) 1537439719.649 * * * * [misc]progress: [ 59 / 110 ] simplifiying candidate # 1537439719.649 * * * * [misc]progress: [ 60 / 110 ] simplifiying candidate # 1537439719.649 * [enter]simplify: Simplifying (sqrt k) 1537439719.650 * * [misc]simplify: iters left: 1 (2 enodes) 1537439719.650 * [exit]simplify: Simplified to (sqrt k) 1537439719.650 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (* (sqrt (* (* PI 2) n)) (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (sqrt k))) 1537439719.650 * * * * [misc]progress: [ 61 / 110 ] simplifiying candidate # 1537439719.650 * * * * [misc]progress: [ 62 / 110 ] simplifiying candidate # 1537439719.651 * * * * [misc]progress: [ 63 / 110 ] simplifiying candidate # 1537439719.651 * * * * [misc]progress: [ 64 / 110 ] simplifiying candidate # 1537439719.651 * * * * [misc]progress: [ 65 / 110 ] simplifiying candidate # 1537439719.651 * [enter]simplify: Simplifying (- (- (* (log (* PI (* n 2))) (/ k 2))) (log (sqrt k))) 1537439719.652 * * [misc]simplify: iters left: 6 (13 enodes) 1537439719.659 * * [misc]simplify: iters left: 5 (29 enodes) 1537439719.675 * * [misc]simplify: iters left: 4 (66 enodes) 1537439719.712 * * [misc]simplify: iters left: 3 (150 enodes) 1537439719.807 * * [misc]simplify: iters left: 2 (358 enodes) 1537439720.036 * [exit]simplify: Simplified to (fma (log (* (* 2 n) PI)) (/ (- k) 2) (- (log (sqrt k)))) 1537439720.036 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (exp (fma (log (* (* 2 n) PI)) (/ (- k) 2) (- (log (sqrt k))))))) 1537439720.036 * * * * [misc]progress: [ 66 / 110 ] simplifiying candidate # 1537439720.036 * [enter]simplify: Simplifying (- (- (* (log (* PI (* n 2))) (/ k 2))) (log (sqrt k))) 1537439720.037 * * [misc]simplify: iters left: 6 (13 enodes) 1537439720.041 * * [misc]simplify: iters left: 5 (29 enodes) 1537439720.052 * * [misc]simplify: iters left: 4 (66 enodes) 1537439720.071 * * [misc]simplify: iters left: 3 (150 enodes) 1537439720.144 * * [misc]simplify: iters left: 2 (358 enodes) 1537439720.369 * [exit]simplify: Simplified to (fma (log (* (* 2 n) PI)) (/ (- k) 2) (- (log (sqrt k)))) 1537439720.369 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (exp (fma (log (* (* 2 n) PI)) (/ (- k) 2) (- (log (sqrt k))))))) 1537439720.369 * * * * [misc]progress: [ 67 / 110 ] simplifiying candidate # 1537439720.370 * [enter]simplify: Simplifying (- (- (log (pow (* PI (* n 2)) (/ k 2)))) (log (sqrt k))) 1537439720.371 * * [misc]simplify: iters left: 6 (13 enodes) 1537439720.377 * * [misc]simplify: iters left: 5 (21 enodes) 1537439720.388 * * [misc]simplify: iters left: 4 (44 enodes) 1537439720.414 * * [misc]simplify: iters left: 3 (119 enodes) 1537439720.487 * * [misc]simplify: iters left: 2 (345 enodes) 1537439720.692 * [exit]simplify: Simplified to (fma (log (* (* PI 2) n)) (- (/ k 2)) (- (log (sqrt k)))) 1537439720.692 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (exp (fma (log (* (* PI 2) n)) (- (/ k 2)) (- (log (sqrt k))))))) 1537439720.692 * * * * [misc]progress: [ 68 / 110 ] simplifiying candidate # 1537439720.692 * [enter]simplify: Simplifying (- (log (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (log (sqrt k))) 1537439720.693 * * [misc]simplify: iters left: 6 (14 enodes) 1537439720.697 * * [misc]simplify: iters left: 5 (26 enodes) 1537439720.705 * * [misc]simplify: iters left: 4 (37 enodes) 1537439720.716 * * [misc]simplify: iters left: 3 (67 enodes) 1537439720.756 * * [misc]simplify: iters left: 2 (191 enodes) 1537439720.948 * [exit]simplify: Simplified to (fma (log (* (* n PI) 2)) (- (/ k 2)) (- (log (sqrt k)))) 1537439720.948 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (exp (fma (log (* (* n PI) 2)) (- (/ k 2)) (- (log (sqrt k))))))) 1537439720.948 * * * * [misc]progress: [ 69 / 110 ] simplifiying candidate # 1537439720.948 * * * * [misc]progress: [ 70 / 110 ] simplifiying candidate # 1537439720.949 * * * * [misc]progress: [ 71 / 110 ] simplifiying candidate # 1537439720.949 * [enter]simplify: Simplifying (/ (* (* (/ 1 (pow (* PI (* n 2)) (/ k 2))) (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 1537439720.950 * * [misc]simplify: iters left: 6 (16 enodes) 1537439720.955 * * [misc]simplify: iters left: 5 (37 enodes) 1537439720.966 * * [misc]simplify: iters left: 4 (90 enodes) 1537439721.033 * * [misc]simplify: iters left: 3 (271 enodes) 1537439721.386 * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt k)) k) (pow (pow (* (* n PI) 2) (/ k 2)) 3)) 1537439721.386 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (cbrt (/ (/ (/ 1 (sqrt k)) k) (pow (pow (* (* n PI) 2) (/ k 2)) 3))))) 1537439721.386 * * * * [misc]progress: [ 72 / 110 ] simplifiying candidate # 1537439721.386 * * * * [misc]progress: [ 73 / 110 ] simplifiying candidate # 1537439721.386 * * * * [misc]progress: [ 74 / 110 ] simplifiying candidate # 1537439721.387 * * * * [misc]progress: [ 75 / 110 ] simplifiying candidate # 1537439721.387 * * * * [misc]progress: [ 76 / 110 ] simplifiying candidate # 1537439721.387 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (cbrt (/ 1 (pow (* PI (* n 2)) (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537439721.389 * * [misc]simplify: iters left: 6 (16 enodes) 1537439721.395 * * [misc]simplify: iters left: 5 (28 enodes) 1537439721.406 * * [misc]simplify: iters left: 4 (43 enodes) 1537439721.420 * * [misc]simplify: iters left: 3 (47 enodes) 1537439721.433 * * [misc]simplify: iters left: 2 (50 enodes) 1537439721.443 * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (pow (* (* n PI) 2) (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (/ 1 (pow (* (* n PI) 2) (/ k 2)))) (cbrt (sqrt k)))) 1537439721.443 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (/ (cbrt (/ 1 (pow (* (* n PI) 2) (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (/ 1 (pow (* (* n PI) 2) (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k)))))) 1537439721.444 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k))) 1537439721.444 * * [misc]simplify: iters left: 6 (14 enodes) 1537439721.447 * * [misc]simplify: iters left: 5 (20 enodes) 1537439721.451 * * [misc]simplify: iters left: 4 (26 enodes) 1537439721.455 * * [misc]simplify: iters left: 3 (27 enodes) 1537439721.459 * [exit]simplify: Simplified to (/ (cbrt (/ 1 (pow (* 2 (* n PI)) (/ k 2)))) (cbrt (sqrt k))) 1537439721.459 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (* (cbrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (cbrt (/ 1 (pow (* PI (* n 2)) (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (/ 1 (pow (* 2 (* n PI)) (/ k 2)))) (cbrt (sqrt k)))))) 1537439721.459 * * * * [misc]progress: [ 77 / 110 ] simplifiying candidate # 1537439721.460 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (cbrt (/ 1 (pow (* PI (* n 2)) (/ k 2))))) (sqrt (sqrt k))) 1537439721.461 * * [misc]simplify: iters left: 6 (15 enodes) 1537439721.464 * * [misc]simplify: iters left: 5 (23 enodes) 1537439721.470 * * [misc]simplify: iters left: 4 (31 enodes) 1537439721.474 * * [misc]simplify: iters left: 3 (33 enodes) 1537439721.482 * [exit]simplify: Simplified to (/ (cbrt (/ 1 (pow (* (* 2 PI) n) (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (/ 1 (pow (* (* 2 PI) n) (/ k 2)))))) 1537439721.482 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (cbrt (/ 1 (pow (* (* 2 PI) n) (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (/ 1 (pow (* (* 2 PI) n) (/ k 2)))))) (/ (cbrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k)))))) 1537439721.482 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k))) 1537439721.484 * * [misc]simplify: iters left: 6 (14 enodes) 1537439721.489 * * [misc]simplify: iters left: 5 (20 enodes) 1537439721.496 * * [misc]simplify: iters left: 4 (26 enodes) 1537439721.500 * * [misc]simplify: iters left: 3 (27 enodes) 1537439721.504 * [exit]simplify: Simplified to (/ (cbrt (/ 1 (pow (* 2 (* n PI)) (/ k 2)))) (sqrt (sqrt k))) 1537439721.504 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (* (cbrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (cbrt (/ 1 (pow (* PI (* n 2)) (/ k 2))))) (sqrt (sqrt k))) (/ (cbrt (/ 1 (pow (* 2 (* n PI)) (/ k 2)))) (sqrt (sqrt k)))))) 1537439721.504 * * * * [misc]progress: [ 78 / 110 ] simplifiying candidate # 1537439721.504 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (cbrt (/ 1 (pow (* PI (* n 2)) (/ k 2))))) 1) 1537439721.505 * * [misc]simplify: iters left: 6 (13 enodes) 1537439721.508 * * [misc]simplify: iters left: 5 (21 enodes) 1537439721.513 * * [misc]simplify: iters left: 4 (33 enodes) 1537439721.518 * * [misc]simplify: iters left: 3 (36 enodes) 1537439721.523 * * [misc]simplify: iters left: 2 (41 enodes) 1537439721.535 * [exit]simplify: Simplified to (* (cbrt (/ 1 (pow (* (* n PI) 2) (/ k 2)))) (cbrt (/ 1 (pow (* (* n PI) 2) (/ k 2))))) 1537439721.535 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (cbrt (/ 1 (pow (* (* n PI) 2) (/ k 2)))) (cbrt (/ 1 (pow (* (* n PI) 2) (/ k 2))))) (/ (cbrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (sqrt k))))) 1537439721.535 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (sqrt k)) 1537439721.536 * * [misc]simplify: iters left: 6 (13 enodes) 1537439721.541 * * [misc]simplify: iters left: 5 (19 enodes) 1537439721.548 * * [misc]simplify: iters left: 4 (25 enodes) 1537439721.556 * * [misc]simplify: iters left: 3 (26 enodes) 1537439721.564 * [exit]simplify: Simplified to (/ (cbrt (/ 1 (pow (* (* n PI) 2) (/ k 2)))) (sqrt k)) 1537439721.564 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (cbrt (/ 1 (pow (* (* n PI) 2) (/ k 2)))) (cbrt (/ 1 (pow (* (* n PI) 2) (/ k 2))))) (/ (cbrt (/ 1 (pow (* (* n PI) 2) (/ k 2)))) (sqrt k))))) 1537439721.564 * * * * [misc]progress: [ 79 / 110 ] simplifiying candidate # 1537439721.565 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537439721.569 * * [misc]simplify: iters left: 6 (15 enodes) 1537439721.575 * * [misc]simplify: iters left: 5 (23 enodes) 1537439721.583 * * [misc]simplify: iters left: 4 (29 enodes) 1537439721.592 * * [misc]simplify: iters left: 3 (30 enodes) 1537439721.602 * [exit]simplify: Simplified to (/ (sqrt (/ 1 (pow (* (* 2 PI) n) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537439721.602 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (/ 1 (pow (* (* 2 PI) n) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k)))))) 1537439721.602 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k))) 1537439721.604 * * [misc]simplify: iters left: 6 (14 enodes) 1537439721.609 * * [misc]simplify: iters left: 5 (20 enodes) 1537439721.616 * * [misc]simplify: iters left: 4 (26 enodes) 1537439721.624 * * [misc]simplify: iters left: 3 (27 enodes) 1537439721.633 * [exit]simplify: Simplified to (/ (sqrt (/ 1 (pow (* 2 (* n PI)) (/ k 2)))) (cbrt (sqrt k))) 1537439721.633 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (/ 1 (pow (* 2 (* n PI)) (/ k 2)))) (cbrt (sqrt k)))))) 1537439721.633 * * * * [misc]progress: [ 80 / 110 ] simplifiying candidate # 1537439721.633 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k))) 1537439721.635 * * [misc]simplify: iters left: 6 (14 enodes) 1537439721.640 * * [misc]simplify: iters left: 5 (20 enodes) 1537439721.647 * * [misc]simplify: iters left: 4 (26 enodes) 1537439721.655 * * [misc]simplify: iters left: 3 (27 enodes) 1537439721.664 * [exit]simplify: Simplified to (/ (sqrt (/ 1 (pow (* 2 (* n PI)) (/ k 2)))) (sqrt (sqrt k))) 1537439721.664 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (/ 1 (pow (* 2 (* n PI)) (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k)))))) 1537439721.664 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k))) 1537439721.666 * * [misc]simplify: iters left: 6 (14 enodes) 1537439721.671 * * [misc]simplify: iters left: 5 (20 enodes) 1537439721.678 * * [misc]simplify: iters left: 4 (26 enodes) 1537439721.686 * * [misc]simplify: iters left: 3 (27 enodes) 1537439721.695 * [exit]simplify: Simplified to (/ (sqrt (/ 1 (pow (* 2 (* n PI)) (/ k 2)))) (sqrt (sqrt k))) 1537439721.695 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (/ 1 (pow (* 2 (* n PI)) (/ k 2)))) (sqrt (sqrt k)))))) 1537439721.695 * * * * [misc]progress: [ 81 / 110 ] simplifiying candidate # 1537439721.696 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))) 1) 1537439721.697 * * [misc]simplify: iters left: 6 (12 enodes) 1537439721.702 * * [misc]simplify: iters left: 5 (18 enodes) 1537439721.706 * * [misc]simplify: iters left: 4 (26 enodes) 1537439721.709 * * [misc]simplify: iters left: 3 (27 enodes) 1537439721.713 * [exit]simplify: Simplified to (sqrt (/ 1 (pow (* (* n PI) 2) (/ k 2)))) 1537439721.713 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (sqrt (/ 1 (pow (* (* n PI) 2) (/ k 2)))) (/ (sqrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (sqrt k))))) 1537439721.713 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (sqrt k)) 1537439721.714 * * [misc]simplify: iters left: 6 (13 enodes) 1537439721.717 * * [misc]simplify: iters left: 5 (19 enodes) 1537439721.720 * * [misc]simplify: iters left: 4 (25 enodes) 1537439721.724 * * [misc]simplify: iters left: 3 (26 enodes) 1537439721.728 * [exit]simplify: Simplified to (/ (sqrt (/ 1 (pow (* (* n PI) 2) (/ k 2)))) (sqrt k)) 1537439721.729 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (sqrt (/ 1 (pow (* (* n PI) 2) (/ k 2)))) (/ (sqrt (/ 1 (pow (* (* n PI) 2) (/ k 2)))) (sqrt k))))) 1537439721.729 * * * * [misc]progress: [ 82 / 110 ] simplifiying candidate # 1537439721.729 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537439721.729 * * [misc]simplify: iters left: 6 (6 enodes) 1537439721.730 * * [misc]simplify: iters left: 5 (10 enodes) 1537439721.732 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1537439721.732 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (cbrt (sqrt k)))))) 1537439721.732 * [enter]simplify: Simplifying (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (cbrt (sqrt k))) 1537439721.733 * * [misc]simplify: iters left: 6 (13 enodes) 1537439721.736 * * [misc]simplify: iters left: 5 (21 enodes) 1537439721.740 * * [misc]simplify: iters left: 4 (30 enodes) 1537439721.745 * * [misc]simplify: iters left: 3 (31 enodes) 1537439721.750 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (pow (* (* n PI) 2) (/ k 2))) 1537439721.750 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ 1 (cbrt (sqrt k))) (pow (* (* n PI) 2) (/ k 2)))))) 1537439721.750 * * * * [misc]progress: [ 83 / 110 ] simplifiying candidate # 1537439721.750 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1537439721.750 * * [misc]simplify: iters left: 4 (5 enodes) 1537439721.751 * * [misc]simplify: iters left: 3 (7 enodes) 1537439721.752 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1537439721.752 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (sqrt (sqrt k))) (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k)))))) 1537439721.752 * [enter]simplify: Simplifying (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k))) 1537439721.753 * * [misc]simplify: iters left: 6 (13 enodes) 1537439721.756 * * [misc]simplify: iters left: 5 (21 enodes) 1537439721.760 * * [misc]simplify: iters left: 4 (30 enodes) 1537439721.764 * * [misc]simplify: iters left: 3 (31 enodes) 1537439721.769 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt k))) (pow (* (* n PI) 2) (/ k 2))) 1537439721.769 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (sqrt (sqrt k))) (/ (/ 1 (sqrt (sqrt k))) (pow (* (* n PI) 2) (/ k 2)))))) 1537439721.769 * * * * [misc]progress: [ 84 / 110 ] simplifiying candidate # 1537439721.769 * [enter]simplify: Simplifying (/ 1 1) 1537439721.771 * * [misc]simplify: iters left: 2 (2 enodes) 1537439721.772 * * [misc]simplify: iters left: 1 (4 enodes) 1537439721.772 * [exit]simplify: Simplified to 1 1537439721.772 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* 1 (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt k))))) 1537439721.772 * [enter]simplify: Simplifying (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt k)) 1537439721.773 * * [misc]simplify: iters left: 6 (12 enodes) 1537439721.776 * * [misc]simplify: iters left: 5 (20 enodes) 1537439721.779 * * [misc]simplify: iters left: 4 (29 enodes) 1537439721.784 * * [misc]simplify: iters left: 3 (30 enodes) 1537439721.790 * [exit]simplify: Simplified to (/ (/ 1 (sqrt k)) (pow (* (* n PI) 2) (/ k 2))) 1537439721.791 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* 1 (/ (/ 1 (sqrt k)) (pow (* (* n PI) 2) (/ k 2)))))) 1537439721.791 * * * * [misc]progress: [ 85 / 110 ] simplifiying candidate # 1537439721.791 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537439721.792 * * [misc]simplify: iters left: 6 (6 enodes) 1537439721.794 * * [misc]simplify: iters left: 5 (10 enodes) 1537439721.797 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1537439721.797 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (cbrt (sqrt k)))))) 1537439721.798 * [enter]simplify: Simplifying (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (cbrt (sqrt k))) 1537439721.799 * * [misc]simplify: iters left: 6 (13 enodes) 1537439721.804 * * [misc]simplify: iters left: 5 (21 enodes) 1537439721.811 * * [misc]simplify: iters left: 4 (30 enodes) 1537439721.820 * * [misc]simplify: iters left: 3 (31 enodes) 1537439721.830 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (pow (* (* n PI) 2) (/ k 2))) 1537439721.831 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ 1 (cbrt (sqrt k))) (pow (* (* n PI) 2) (/ k 2)))))) 1537439721.831 * * * * [misc]progress: [ 86 / 110 ] simplifiying candidate # 1537439721.831 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1537439721.831 * * [misc]simplify: iters left: 4 (5 enodes) 1537439721.833 * * [misc]simplify: iters left: 3 (7 enodes) 1537439721.835 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1537439721.835 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (sqrt (sqrt k))) (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k)))))) 1537439721.835 * [enter]simplify: Simplifying (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k))) 1537439721.837 * * [misc]simplify: iters left: 6 (13 enodes) 1537439721.842 * * [misc]simplify: iters left: 5 (21 enodes) 1537439721.847 * * [misc]simplify: iters left: 4 (30 enodes) 1537439721.851 * * [misc]simplify: iters left: 3 (31 enodes) 1537439721.856 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt k))) (pow (* (* n PI) 2) (/ k 2))) 1537439721.856 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (sqrt (sqrt k))) (/ (/ 1 (sqrt (sqrt k))) (pow (* (* n PI) 2) (/ k 2)))))) 1537439721.856 * * * * [misc]progress: [ 87 / 110 ] simplifiying candidate # 1537439721.857 * [enter]simplify: Simplifying (/ 1 1) 1537439721.857 * * [misc]simplify: iters left: 2 (2 enodes) 1537439721.857 * * [misc]simplify: iters left: 1 (4 enodes) 1537439721.858 * [exit]simplify: Simplified to 1 1537439721.858 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* 1 (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt k))))) 1537439721.858 * [enter]simplify: Simplifying (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt k)) 1537439721.858 * * [misc]simplify: iters left: 6 (12 enodes) 1537439721.861 * * [misc]simplify: iters left: 5 (20 enodes) 1537439721.865 * * [misc]simplify: iters left: 4 (29 enodes) 1537439721.870 * * [misc]simplify: iters left: 3 (30 enodes) 1537439721.875 * [exit]simplify: Simplified to (/ (/ 1 (sqrt k)) (pow (* (* n PI) 2) (/ k 2))) 1537439721.875 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* 1 (/ (/ 1 (sqrt k)) (pow (* (* n PI) 2) (/ k 2)))))) 1537439721.875 * * * * [misc]progress: [ 88 / 110 ] simplifiying candidate # 1537439721.875 * * * * [misc]progress: [ 89 / 110 ] simplifiying candidate # 1537439721.875 * * * * [misc]progress: [ 90 / 110 ] simplifiying candidate # 1537439721.875 * * * * [misc]progress: [ 91 / 110 ] simplifiying candidate # 1537439721.875 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1537439721.876 * * [misc]simplify: iters left: 2 (3 enodes) 1537439721.876 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1537439721.876 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))) 1537439721.876 * * * * [misc]progress: [ 92 / 110 ] simplifiying candidate # 1537439721.876 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1537439721.877 * * [misc]simplify: iters left: 2 (3 enodes) 1537439721.877 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1537439721.877 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))) 1537439721.877 * * * * [misc]progress: [ 93 / 110 ] simplifiying candidate # 1537439721.877 * [enter]simplify: Simplifying (sqrt k) 1537439721.877 * * [misc]simplify: iters left: 1 (2 enodes) 1537439721.878 * [exit]simplify: Simplified to (sqrt k) 1537439721.878 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) 1) (sqrt k)))) 1537439721.878 * * * * [misc]progress: [ 94 / 110 ] simplifiying candidate # 1537439721.878 * [enter]simplify: Simplifying (* (cbrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (cbrt (/ 1 (pow (* PI (* n 2)) (/ k 2))))) 1537439721.879 * * [misc]simplify: iters left: 6 (12 enodes) 1537439721.882 * * [misc]simplify: iters left: 5 (18 enodes) 1537439721.889 * * [misc]simplify: iters left: 4 (24 enodes) 1537439721.896 * * [misc]simplify: iters left: 3 (25 enodes) 1537439721.905 * [exit]simplify: Simplified to (* (cbrt (/ 1 (pow (* (* n PI) 2) (/ k 2)))) (cbrt (/ 1 (pow (* (* n PI) 2) (/ k 2))))) 1537439721.905 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (* (cbrt (/ 1 (pow (* (* n PI) 2) (/ k 2)))) (cbrt (/ 1 (pow (* (* n PI) 2) (/ k 2))))) (/ (sqrt k) (cbrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))))))) 1537439721.905 * * * * [misc]progress: [ 95 / 110 ] simplifiying candidate # 1537439721.905 * [enter]simplify: Simplifying (sqrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))) 1537439721.906 * * [misc]simplify: iters left: 6 (11 enodes) 1537439721.910 * * [misc]simplify: iters left: 5 (17 enodes) 1537439721.916 * * [misc]simplify: iters left: 4 (23 enodes) 1537439721.919 * * [misc]simplify: iters left: 3 (24 enodes) 1537439721.923 * [exit]simplify: Simplified to (sqrt (/ 1 (pow (* (* 2 PI) n) (/ k 2)))) 1537439721.923 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (sqrt (/ 1 (pow (* (* 2 PI) n) (/ k 2)))) (/ (sqrt k) (sqrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))))))) 1537439721.923 * * * * [misc]progress: [ 96 / 110 ] simplifiying candidate # 1537439721.923 * * * * [misc]progress: [ 97 / 110 ] simplifiying candidate # 1537439721.923 * * * * [misc]progress: [ 98 / 110 ] simplifiying candidate # 1537439721.924 * * * * [misc]progress: [ 99 / 110 ] simplifiying candidate # 1537439721.924 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537439721.924 * * [misc]simplify: iters left: 4 (5 enodes) 1537439721.925 * * [misc]simplify: iters left: 3 (9 enodes) 1537439721.927 * * [misc]simplify: iters left: 2 (15 enodes) 1537439721.930 * * [misc]simplify: iters left: 1 (17 enodes) 1537439721.932 * [exit]simplify: Simplified to (* (* PI n) 2) 1537439721.932 * [misc]simplify: Simplified (2 2 1 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (/ 1 (pow (* (* PI n) 2) (/ k 2))) (sqrt k)))) 1537439721.932 * * * * [misc]progress: [ 100 / 110 ] simplifiying candidate # 1537439721.932 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537439721.933 * * [misc]simplify: iters left: 4 (5 enodes) 1537439721.934 * * [misc]simplify: iters left: 3 (9 enodes) 1537439721.936 * * [misc]simplify: iters left: 2 (15 enodes) 1537439721.939 * * [misc]simplify: iters left: 1 (17 enodes) 1537439721.941 * [exit]simplify: Simplified to (* (* PI n) 2) 1537439721.941 * [misc]simplify: Simplified (2 2 1 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (/ 1 (pow (* (* PI n) 2) (/ k 2))) (sqrt k)))) 1537439721.941 * * * * [misc]progress: [ 101 / 110 ] simplifiying candidate # 1537439721.941 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537439721.942 * * [misc]simplify: iters left: 4 (5 enodes) 1537439721.943 * * [misc]simplify: iters left: 3 (9 enodes) 1537439721.947 * * [misc]simplify: iters left: 2 (15 enodes) 1537439721.952 * * [misc]simplify: iters left: 1 (17 enodes) 1537439721.957 * [exit]simplify: Simplified to (* (* PI n) 2) 1537439721.957 * [misc]simplify: Simplified (2 2 1 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (/ 1 (pow (* (* PI n) 2) (/ k 2))) (sqrt k)))) 1537439721.957 * * * * [misc]progress: [ 102 / 110 ] simplifiying candidate # 1537439721.958 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537439721.958 * * [misc]simplify: iters left: 4 (5 enodes) 1537439721.960 * * [misc]simplify: iters left: 3 (9 enodes) 1537439721.964 * * [misc]simplify: iters left: 2 (15 enodes) 1537439721.971 * * [misc]simplify: iters left: 1 (17 enodes) 1537439721.976 * [exit]simplify: Simplified to (* (* PI n) 2) 1537439721.976 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (sqrt (* (* PI n) 2)) (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))) 1537439721.976 * * * * [misc]progress: [ 103 / 110 ] simplifiying candidate # 1537439721.977 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537439721.977 * * [misc]simplify: iters left: 4 (5 enodes) 1537439721.979 * * [misc]simplify: iters left: 3 (9 enodes) 1537439721.983 * * [misc]simplify: iters left: 2 (15 enodes) 1537439721.988 * * [misc]simplify: iters left: 1 (17 enodes) 1537439721.993 * [exit]simplify: Simplified to (* (* PI n) 2) 1537439721.993 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (sqrt (* (* PI n) 2)) (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))) 1537439721.993 * * * * [misc]progress: [ 104 / 110 ] simplifiying candidate # 1537439721.994 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537439721.994 * * [misc]simplify: iters left: 4 (5 enodes) 1537439721.996 * * [misc]simplify: iters left: 3 (9 enodes) 1537439722.001 * * [misc]simplify: iters left: 2 (15 enodes) 1537439722.006 * * [misc]simplify: iters left: 1 (17 enodes) 1537439722.011 * [exit]simplify: Simplified to (* (* PI n) 2) 1537439722.011 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (sqrt (* (* PI n) 2)) (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))) 1537439722.011 * * * * [misc]progress: [ 105 / 110 ] simplifiying candidate # 1537439722.011 * [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)))))))))))))) 1537439722.011 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1537439722.011 * * * * [misc]progress: [ 106 / 110 ] simplifiying candidate # 1537439722.012 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (pow n 2) (pow k 3))))) (- (+ (* +nan.0 (/ (* (sqrt 2) PI) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) k))) (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* n (pow k 2)))))))))) 1537439722.012 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1537439722.012 * * * * [misc]progress: [ 107 / 110 ] simplifiying candidate # 1537439722.012 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (pow PI 2) (* (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) n))) (- (+ (* +nan.0 (/ PI (* (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) k))) (- (* +nan.0 (/ PI (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k)))))))))) 1537439722.012 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1537439722.012 * * * * [misc]progress: [ 108 / 110 ] simplifiying candidate # 1537439722.013 * [enter]simplify: Simplifying (- (+ (* +nan.0 (pow k 2)) (- (+ (* +nan.0 (* (log (* 2 PI)) k)) (- (+ (* +nan.0 (* (log n) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (pow k 2))) (- (+ (* +nan.0 (* (log n) k)) (- (+ (* +nan.0 (* (pow (log n) 2) (pow k 2))) (- (+ (* +nan.0 k) (- +nan.0))))))))))))))))))) 1537439722.013 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) +nan.0)) 1537439722.013 * * * * [misc]progress: [ 109 / 110 ] simplifiying candidate # 1537439722.013 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (pow k 3)))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (pow k 2)))) (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) k)))))))) 1537439722.013 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) +nan.0)) 1537439722.013 * * * * [misc]progress: [ 110 / 110 ] simplifiying candidate # 1537439722.013 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k)))))))))) 1537439722.013 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) +nan.0)) 1537439722.013 * * * [misc]progress: adding candidates to table 1537439724.862 * * [misc]progress: iteration 4 / 4 1537439724.862 * * * [misc]progress: picking best candidate 1537439724.950 * * * * [misc]pick: Picked # 1537439724.951 * * * [misc]progress: localizing error 1537439724.986 * * * [misc]progress: generating rewritten candidates 1537439724.986 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2 2 1 1) 1537439725.008 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 1 1) 1537439725.023 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2 1 1) 1537439725.038 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) 1537439725.110 * * * [misc]progress: generating series expansions 1537439725.111 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2 2 1 1) 1537439725.111 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1537439725.111 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1537439725.111 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537439725.111 * [misc]taylor: Taking taylor expansion of 2 in n 1537439725.111 * [misc]backup-simplify: Simplify 2 into 2 1537439725.111 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537439725.111 * [misc]taylor: Taking taylor expansion of n in n 1537439725.111 * [misc]backup-simplify: Simplify 0 into 0 1537439725.111 * [misc]backup-simplify: Simplify 1 into 1 1537439725.111 * [misc]taylor: Taking taylor expansion of PI in n 1537439725.111 * [misc]backup-simplify: Simplify PI into PI 1537439725.111 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537439725.111 * [misc]taylor: Taking taylor expansion of 2 in n 1537439725.111 * [misc]backup-simplify: Simplify 2 into 2 1537439725.111 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537439725.111 * [misc]taylor: Taking taylor expansion of n in n 1537439725.111 * [misc]backup-simplify: Simplify 0 into 0 1537439725.111 * [misc]backup-simplify: Simplify 1 into 1 1537439725.111 * [misc]taylor: Taking taylor expansion of PI in n 1537439725.111 * [misc]backup-simplify: Simplify PI into PI 1537439725.112 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537439725.112 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537439725.112 * [misc]backup-simplify: Simplify 0 into 0 1537439725.112 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537439725.113 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537439725.113 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537439725.114 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1537439725.114 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1537439725.114 * [misc]backup-simplify: Simplify 0 into 0 1537439725.115 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1537439725.116 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1537439725.116 * [misc]backup-simplify: Simplify 0 into 0 1537439725.118 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537439725.119 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1537439725.119 * [misc]backup-simplify: Simplify 0 into 0 1537439725.121 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537439725.123 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1537439725.123 * [misc]backup-simplify: Simplify 0 into 0 1537439725.125 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537439725.127 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1537439725.127 * [misc]backup-simplify: Simplify 0 into 0 1537439725.129 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1537439725.132 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1537439725.132 * [misc]backup-simplify: Simplify 0 into 0 1537439725.132 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1537439725.132 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1537439725.132 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1537439725.132 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537439725.132 * [misc]taylor: Taking taylor expansion of 2 in n 1537439725.132 * [misc]backup-simplify: Simplify 2 into 2 1537439725.132 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537439725.132 * [misc]taylor: Taking taylor expansion of PI in n 1537439725.132 * [misc]backup-simplify: Simplify PI into PI 1537439725.133 * [misc]taylor: Taking taylor expansion of n in n 1537439725.133 * [misc]backup-simplify: Simplify 0 into 0 1537439725.133 * [misc]backup-simplify: Simplify 1 into 1 1537439725.133 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537439725.133 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537439725.133 * [misc]taylor: Taking taylor expansion of 2 in n 1537439725.133 * [misc]backup-simplify: Simplify 2 into 2 1537439725.133 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537439725.133 * [misc]taylor: Taking taylor expansion of PI in n 1537439725.133 * [misc]backup-simplify: Simplify PI into PI 1537439725.133 * [misc]taylor: Taking taylor expansion of n in n 1537439725.133 * [misc]backup-simplify: Simplify 0 into 0 1537439725.133 * [misc]backup-simplify: Simplify 1 into 1 1537439725.133 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537439725.133 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537439725.134 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537439725.134 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537439725.135 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537439725.135 * [misc]backup-simplify: Simplify 0 into 0 1537439725.136 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439725.136 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1537439725.136 * [misc]backup-simplify: Simplify 0 into 0 1537439725.137 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439725.138 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537439725.138 * [misc]backup-simplify: Simplify 0 into 0 1537439725.140 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439725.141 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537439725.141 * [misc]backup-simplify: Simplify 0 into 0 1537439725.142 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439725.144 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537439725.145 * [misc]backup-simplify: Simplify 0 into 0 1537439725.147 * [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 1537439725.151 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537439725.151 * [misc]backup-simplify: Simplify 0 into 0 1537439725.151 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1537439725.151 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1537439725.151 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1537439725.151 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537439725.151 * [misc]taylor: Taking taylor expansion of -2 in n 1537439725.151 * [misc]backup-simplify: Simplify -2 into -2 1537439725.151 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537439725.151 * [misc]taylor: Taking taylor expansion of PI in n 1537439725.151 * [misc]backup-simplify: Simplify PI into PI 1537439725.152 * [misc]taylor: Taking taylor expansion of n in n 1537439725.152 * [misc]backup-simplify: Simplify 0 into 0 1537439725.152 * [misc]backup-simplify: Simplify 1 into 1 1537439725.152 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537439725.152 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537439725.152 * [misc]taylor: Taking taylor expansion of -2 in n 1537439725.152 * [misc]backup-simplify: Simplify -2 into -2 1537439725.152 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537439725.152 * [misc]taylor: Taking taylor expansion of PI in n 1537439725.152 * [misc]backup-simplify: Simplify PI into PI 1537439725.152 * [misc]taylor: Taking taylor expansion of n in n 1537439725.152 * [misc]backup-simplify: Simplify 0 into 0 1537439725.152 * [misc]backup-simplify: Simplify 1 into 1 1537439725.153 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537439725.153 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537439725.153 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537439725.154 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537439725.155 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537439725.155 * [misc]backup-simplify: Simplify 0 into 0 1537439725.157 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439725.158 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1537439725.158 * [misc]backup-simplify: Simplify 0 into 0 1537439725.160 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439725.161 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537439725.162 * [misc]backup-simplify: Simplify 0 into 0 1537439725.164 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439725.167 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537439725.167 * [misc]backup-simplify: Simplify 0 into 0 1537439725.169 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439725.172 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537439725.172 * [misc]backup-simplify: Simplify 0 into 0 1537439725.175 * [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 1537439725.179 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537439725.179 * [misc]backup-simplify: Simplify 0 into 0 1537439725.179 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1537439725.179 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 1 1) 1537439725.185 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1537439725.185 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1537439725.185 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537439725.185 * [misc]taylor: Taking taylor expansion of 2 in n 1537439725.185 * [misc]backup-simplify: Simplify 2 into 2 1537439725.185 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537439725.185 * [misc]taylor: Taking taylor expansion of n in n 1537439725.185 * [misc]backup-simplify: Simplify 0 into 0 1537439725.185 * [misc]backup-simplify: Simplify 1 into 1 1537439725.185 * [misc]taylor: Taking taylor expansion of PI in n 1537439725.185 * [misc]backup-simplify: Simplify PI into PI 1537439725.185 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537439725.185 * [misc]taylor: Taking taylor expansion of 2 in n 1537439725.185 * [misc]backup-simplify: Simplify 2 into 2 1537439725.185 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537439725.185 * [misc]taylor: Taking taylor expansion of n in n 1537439725.185 * [misc]backup-simplify: Simplify 0 into 0 1537439725.185 * [misc]backup-simplify: Simplify 1 into 1 1537439725.185 * [misc]taylor: Taking taylor expansion of PI in n 1537439725.185 * [misc]backup-simplify: Simplify PI into PI 1537439725.186 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537439725.186 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537439725.186 * [misc]backup-simplify: Simplify 0 into 0 1537439725.187 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537439725.187 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537439725.188 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537439725.189 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1537439725.190 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1537439725.190 * [misc]backup-simplify: Simplify 0 into 0 1537439725.192 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1537439725.194 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1537439725.194 * [misc]backup-simplify: Simplify 0 into 0 1537439725.196 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537439725.198 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1537439725.198 * [misc]backup-simplify: Simplify 0 into 0 1537439725.201 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537439725.204 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1537439725.204 * [misc]backup-simplify: Simplify 0 into 0 1537439725.208 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537439725.211 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1537439725.211 * [misc]backup-simplify: Simplify 0 into 0 1537439725.216 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1537439725.220 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1537439725.220 * [misc]backup-simplify: Simplify 0 into 0 1537439725.221 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1537439725.221 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1537439725.221 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1537439725.221 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537439725.221 * [misc]taylor: Taking taylor expansion of 2 in n 1537439725.221 * [misc]backup-simplify: Simplify 2 into 2 1537439725.221 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537439725.221 * [misc]taylor: Taking taylor expansion of PI in n 1537439725.221 * [misc]backup-simplify: Simplify PI into PI 1537439725.221 * [misc]taylor: Taking taylor expansion of n in n 1537439725.221 * [misc]backup-simplify: Simplify 0 into 0 1537439725.221 * [misc]backup-simplify: Simplify 1 into 1 1537439725.221 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537439725.221 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537439725.221 * [misc]taylor: Taking taylor expansion of 2 in n 1537439725.222 * [misc]backup-simplify: Simplify 2 into 2 1537439725.222 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537439725.222 * [misc]taylor: Taking taylor expansion of PI in n 1537439725.222 * [misc]backup-simplify: Simplify PI into PI 1537439725.222 * [misc]taylor: Taking taylor expansion of n in n 1537439725.222 * [misc]backup-simplify: Simplify 0 into 0 1537439725.222 * [misc]backup-simplify: Simplify 1 into 1 1537439725.222 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537439725.222 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537439725.223 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537439725.224 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537439725.225 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537439725.225 * [misc]backup-simplify: Simplify 0 into 0 1537439725.227 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439725.228 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1537439725.228 * [misc]backup-simplify: Simplify 0 into 0 1537439725.230 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439725.231 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537439725.231 * [misc]backup-simplify: Simplify 0 into 0 1537439725.233 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439725.236 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537439725.236 * [misc]backup-simplify: Simplify 0 into 0 1537439725.238 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439725.241 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537439725.241 * [misc]backup-simplify: Simplify 0 into 0 1537439725.244 * [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 1537439725.247 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537439725.248 * [misc]backup-simplify: Simplify 0 into 0 1537439725.248 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1537439725.248 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1537439725.248 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1537439725.248 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537439725.248 * [misc]taylor: Taking taylor expansion of -2 in n 1537439725.248 * [misc]backup-simplify: Simplify -2 into -2 1537439725.248 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537439725.248 * [misc]taylor: Taking taylor expansion of PI in n 1537439725.248 * [misc]backup-simplify: Simplify PI into PI 1537439725.248 * [misc]taylor: Taking taylor expansion of n in n 1537439725.248 * [misc]backup-simplify: Simplify 0 into 0 1537439725.248 * [misc]backup-simplify: Simplify 1 into 1 1537439725.249 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537439725.249 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537439725.249 * [misc]taylor: Taking taylor expansion of -2 in n 1537439725.249 * [misc]backup-simplify: Simplify -2 into -2 1537439725.249 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537439725.249 * [misc]taylor: Taking taylor expansion of PI in n 1537439725.249 * [misc]backup-simplify: Simplify PI into PI 1537439725.249 * [misc]taylor: Taking taylor expansion of n in n 1537439725.249 * [misc]backup-simplify: Simplify 0 into 0 1537439725.249 * [misc]backup-simplify: Simplify 1 into 1 1537439725.249 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537439725.250 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537439725.250 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537439725.251 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537439725.252 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537439725.252 * [misc]backup-simplify: Simplify 0 into 0 1537439725.253 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439725.255 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1537439725.255 * [misc]backup-simplify: Simplify 0 into 0 1537439725.256 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439725.258 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537439725.258 * [misc]backup-simplify: Simplify 0 into 0 1537439725.260 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439725.263 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537439725.263 * [misc]backup-simplify: Simplify 0 into 0 1537439725.265 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439725.268 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537439725.268 * [misc]backup-simplify: Simplify 0 into 0 1537439725.271 * [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 1537439725.274 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537439725.274 * [misc]backup-simplify: Simplify 0 into 0 1537439725.275 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1537439725.275 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2 1 1) 1537439725.275 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1537439725.275 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1537439725.275 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537439725.275 * [misc]taylor: Taking taylor expansion of 2 in n 1537439725.275 * [misc]backup-simplify: Simplify 2 into 2 1537439725.275 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537439725.275 * [misc]taylor: Taking taylor expansion of n in n 1537439725.275 * [misc]backup-simplify: Simplify 0 into 0 1537439725.275 * [misc]backup-simplify: Simplify 1 into 1 1537439725.276 * [misc]taylor: Taking taylor expansion of PI in n 1537439725.276 * [misc]backup-simplify: Simplify PI into PI 1537439725.276 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537439725.276 * [misc]taylor: Taking taylor expansion of 2 in n 1537439725.276 * [misc]backup-simplify: Simplify 2 into 2 1537439725.276 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537439725.276 * [misc]taylor: Taking taylor expansion of n in n 1537439725.276 * [misc]backup-simplify: Simplify 0 into 0 1537439725.276 * [misc]backup-simplify: Simplify 1 into 1 1537439725.276 * [misc]taylor: Taking taylor expansion of PI in n 1537439725.276 * [misc]backup-simplify: Simplify PI into PI 1537439725.276 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537439725.276 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537439725.276 * [misc]backup-simplify: Simplify 0 into 0 1537439725.277 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537439725.278 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537439725.278 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537439725.280 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1537439725.281 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1537439725.281 * [misc]backup-simplify: Simplify 0 into 0 1537439725.283 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1537439725.284 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1537439725.284 * [misc]backup-simplify: Simplify 0 into 0 1537439725.287 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537439725.289 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1537439725.289 * [misc]backup-simplify: Simplify 0 into 0 1537439725.292 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537439725.295 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1537439725.295 * [misc]backup-simplify: Simplify 0 into 0 1537439725.299 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537439725.302 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1537439725.302 * [misc]backup-simplify: Simplify 0 into 0 1537439725.307 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1537439725.311 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1537439725.311 * [misc]backup-simplify: Simplify 0 into 0 1537439725.311 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1537439725.312 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1537439725.312 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1537439725.312 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537439725.312 * [misc]taylor: Taking taylor expansion of 2 in n 1537439725.312 * [misc]backup-simplify: Simplify 2 into 2 1537439725.312 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537439725.312 * [misc]taylor: Taking taylor expansion of PI in n 1537439725.312 * [misc]backup-simplify: Simplify PI into PI 1537439725.312 * [misc]taylor: Taking taylor expansion of n in n 1537439725.312 * [misc]backup-simplify: Simplify 0 into 0 1537439725.312 * [misc]backup-simplify: Simplify 1 into 1 1537439725.313 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537439725.313 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537439725.313 * [misc]taylor: Taking taylor expansion of 2 in n 1537439725.313 * [misc]backup-simplify: Simplify 2 into 2 1537439725.313 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537439725.313 * [misc]taylor: Taking taylor expansion of PI in n 1537439725.313 * [misc]backup-simplify: Simplify PI into PI 1537439725.313 * [misc]taylor: Taking taylor expansion of n in n 1537439725.313 * [misc]backup-simplify: Simplify 0 into 0 1537439725.313 * [misc]backup-simplify: Simplify 1 into 1 1537439725.313 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537439725.313 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537439725.314 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537439725.315 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537439725.316 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537439725.316 * [misc]backup-simplify: Simplify 0 into 0 1537439725.317 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439725.318 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1537439725.318 * [misc]backup-simplify: Simplify 0 into 0 1537439725.320 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439725.322 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537439725.322 * [misc]backup-simplify: Simplify 0 into 0 1537439725.324 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439725.326 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537439725.326 * [misc]backup-simplify: Simplify 0 into 0 1537439725.328 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439725.330 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537439725.330 * [misc]backup-simplify: Simplify 0 into 0 1537439725.331 * [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 1537439725.335 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537439725.335 * [misc]backup-simplify: Simplify 0 into 0 1537439725.335 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1537439725.336 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1537439725.336 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1537439725.336 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537439725.336 * [misc]taylor: Taking taylor expansion of -2 in n 1537439725.336 * [misc]backup-simplify: Simplify -2 into -2 1537439725.336 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537439725.336 * [misc]taylor: Taking taylor expansion of PI in n 1537439725.336 * [misc]backup-simplify: Simplify PI into PI 1537439725.336 * [misc]taylor: Taking taylor expansion of n in n 1537439725.336 * [misc]backup-simplify: Simplify 0 into 0 1537439725.336 * [misc]backup-simplify: Simplify 1 into 1 1537439725.336 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537439725.336 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537439725.336 * [misc]taylor: Taking taylor expansion of -2 in n 1537439725.336 * [misc]backup-simplify: Simplify -2 into -2 1537439725.336 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537439725.336 * [misc]taylor: Taking taylor expansion of PI in n 1537439725.336 * [misc]backup-simplify: Simplify PI into PI 1537439725.336 * [misc]taylor: Taking taylor expansion of n in n 1537439725.336 * [misc]backup-simplify: Simplify 0 into 0 1537439725.336 * [misc]backup-simplify: Simplify 1 into 1 1537439725.336 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537439725.337 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537439725.337 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537439725.337 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537439725.338 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537439725.338 * [misc]backup-simplify: Simplify 0 into 0 1537439725.339 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439725.339 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1537439725.339 * [misc]backup-simplify: Simplify 0 into 0 1537439725.340 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439725.341 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537439725.342 * [misc]backup-simplify: Simplify 0 into 0 1537439725.343 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439725.344 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537439725.344 * [misc]backup-simplify: Simplify 0 into 0 1537439725.345 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439725.347 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537439725.347 * [misc]backup-simplify: Simplify 0 into 0 1537439725.349 * [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 1537439725.351 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537439725.351 * [misc]backup-simplify: Simplify 0 into 0 1537439725.351 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1537439725.351 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) 1537439725.352 * [misc]backup-simplify: Simplify (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))) into (* (/ 1 (sqrt 2)) (sqrt (/ (* (pow (* 2 (* n PI)) (* 1/2 k)) k) (* n PI)))) 1537439725.352 * [misc]approximate: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt (/ (* (pow (* 2 (* n PI)) (* 1/2 k)) k) (* n PI)))) in (k n) around 0 1537439725.352 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt (/ (* (pow (* 2 (* n PI)) (* 1/2 k)) k) (* n PI)))) in n 1537439725.352 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt 2)) in n 1537439725.352 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537439725.352 * [misc]taylor: Taking taylor expansion of 2 in n 1537439725.352 * [misc]backup-simplify: Simplify 2 into 2 1537439725.352 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537439725.352 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537439725.352 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1537439725.352 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* (pow (* 2 (* n PI)) (* 1/2 k)) k) (* n PI))) in n 1537439725.352 * [misc]taylor: Taking taylor expansion of (/ (* (pow (* 2 (* n PI)) (* 1/2 k)) k) (* n PI)) in n 1537439725.352 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 k)) k) in n 1537439725.352 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in n 1537439725.352 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in n 1537439725.352 * [misc]taylor: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in n 1537439725.352 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1537439725.352 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537439725.353 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439725.353 * [misc]taylor: Taking taylor expansion of k in n 1537439725.353 * [misc]backup-simplify: Simplify k into k 1537439725.353 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1537439725.353 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537439725.353 * [misc]taylor: Taking taylor expansion of 2 in n 1537439725.353 * [misc]backup-simplify: Simplify 2 into 2 1537439725.353 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537439725.353 * [misc]taylor: Taking taylor expansion of n in n 1537439725.353 * [misc]backup-simplify: Simplify 0 into 0 1537439725.353 * [misc]backup-simplify: Simplify 1 into 1 1537439725.353 * [misc]taylor: Taking taylor expansion of PI in n 1537439725.353 * [misc]backup-simplify: Simplify PI into PI 1537439725.353 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537439725.353 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537439725.353 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537439725.354 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537439725.354 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537439725.354 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1537439725.355 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537439725.355 * [misc]backup-simplify: Simplify (* (* 1/2 k) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (+ (log n) (log (* 2 PI))) k)) 1537439725.356 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) into (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) 1537439725.356 * [misc]taylor: Taking taylor expansion of k in n 1537439725.356 * [misc]backup-simplify: Simplify k into k 1537439725.356 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537439725.356 * [misc]taylor: Taking taylor expansion of n in n 1537439725.356 * [misc]backup-simplify: Simplify 0 into 0 1537439725.356 * [misc]backup-simplify: Simplify 1 into 1 1537439725.356 * [misc]taylor: Taking taylor expansion of PI in n 1537439725.356 * [misc]backup-simplify: Simplify PI into PI 1537439725.357 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) k) into (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) k) 1537439725.357 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537439725.358 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537439725.359 * [misc]backup-simplify: Simplify (/ (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) k) PI) into (/ (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) k) PI) 1537439725.359 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537439725.360 * [misc]backup-simplify: Simplify (/ (/ (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) k) PI) (* 2 (sqrt 0))) into (* +nan.0 (/ (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) k) PI)) 1537439725.360 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt (/ (* (pow (* 2 (* n PI)) (* 1/2 k)) k) (* n PI)))) in k 1537439725.360 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt 2)) in k 1537439725.360 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537439725.360 * [misc]taylor: Taking taylor expansion of 2 in k 1537439725.360 * [misc]backup-simplify: Simplify 2 into 2 1537439725.360 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537439725.360 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537439725.361 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1537439725.361 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* (pow (* 2 (* n PI)) (* 1/2 k)) k) (* n PI))) in k 1537439725.361 * [misc]taylor: Taking taylor expansion of (/ (* (pow (* 2 (* n PI)) (* 1/2 k)) k) (* n PI)) in k 1537439725.361 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 k)) k) in k 1537439725.361 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in k 1537439725.361 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in k 1537439725.361 * [misc]taylor: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in k 1537439725.361 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1537439725.361 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537439725.361 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439725.361 * [misc]taylor: Taking taylor expansion of k in k 1537439725.361 * [misc]backup-simplify: Simplify 0 into 0 1537439725.361 * [misc]backup-simplify: Simplify 1 into 1 1537439725.361 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1537439725.361 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1537439725.361 * [misc]taylor: Taking taylor expansion of 2 in k 1537439725.361 * [misc]backup-simplify: Simplify 2 into 2 1537439725.361 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1537439725.361 * [misc]taylor: Taking taylor expansion of n in k 1537439725.361 * [misc]backup-simplify: Simplify n into n 1537439725.361 * [misc]taylor: Taking taylor expansion of PI in k 1537439725.361 * [misc]backup-simplify: Simplify PI into PI 1537439725.362 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1537439725.362 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1537439725.362 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1537439725.362 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1537439725.362 * [misc]backup-simplify: Simplify (* 0 (log (* 2 (* n PI)))) into 0 1537439725.363 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1537439725.363 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1537439725.364 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1537439725.364 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1537439725.365 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1/2 (log (* 2 (* n PI))))) into (* 1/2 (log (* 2 (* n PI)))) 1537439725.365 * [misc]backup-simplify: Simplify (exp 0) into 1 1537439725.365 * [misc]taylor: Taking taylor expansion of k in k 1537439725.365 * [misc]backup-simplify: Simplify 0 into 0 1537439725.365 * [misc]backup-simplify: Simplify 1 into 1 1537439725.365 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1537439725.365 * [misc]taylor: Taking taylor expansion of n in k 1537439725.365 * [misc]backup-simplify: Simplify n into n 1537439725.365 * [misc]taylor: Taking taylor expansion of PI in k 1537439725.365 * [misc]backup-simplify: Simplify PI into PI 1537439725.365 * [misc]backup-simplify: Simplify (* 1 0) into 0 1537439725.366 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/2 (log (* 2 (* n PI)))) 1) 1)))) into (* 1/2 (log (* 2 (* n PI)))) 1537439725.366 * [misc]backup-simplify: Simplify (+ (* 1 1) (* (* 1/2 (log (* 2 (* n PI)))) 0)) into 1 1537439725.366 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1537439725.366 * [misc]backup-simplify: Simplify (/ 1 (* n PI)) into (/ 1 (* n PI)) 1537439725.367 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537439725.367 * [misc]backup-simplify: Simplify (/ (/ 1 (* n PI)) (* 2 (sqrt 0))) into (/ +nan.0 (* n PI)) 1537439725.367 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt (/ (* (pow (* 2 (* n PI)) (* 1/2 k)) k) (* n PI)))) in k 1537439725.367 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt 2)) in k 1537439725.367 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537439725.367 * [misc]taylor: Taking taylor expansion of 2 in k 1537439725.367 * [misc]backup-simplify: Simplify 2 into 2 1537439725.367 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537439725.368 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537439725.368 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1537439725.368 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* (pow (* 2 (* n PI)) (* 1/2 k)) k) (* n PI))) in k 1537439725.368 * [misc]taylor: Taking taylor expansion of (/ (* (pow (* 2 (* n PI)) (* 1/2 k)) k) (* n PI)) in k 1537439725.368 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 k)) k) in k 1537439725.368 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in k 1537439725.368 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in k 1537439725.368 * [misc]taylor: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in k 1537439725.368 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1537439725.368 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537439725.368 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439725.368 * [misc]taylor: Taking taylor expansion of k in k 1537439725.368 * [misc]backup-simplify: Simplify 0 into 0 1537439725.368 * [misc]backup-simplify: Simplify 1 into 1 1537439725.368 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1537439725.368 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1537439725.368 * [misc]taylor: Taking taylor expansion of 2 in k 1537439725.368 * [misc]backup-simplify: Simplify 2 into 2 1537439725.368 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1537439725.368 * [misc]taylor: Taking taylor expansion of n in k 1537439725.368 * [misc]backup-simplify: Simplify n into n 1537439725.368 * [misc]taylor: Taking taylor expansion of PI in k 1537439725.369 * [misc]backup-simplify: Simplify PI into PI 1537439725.369 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1537439725.369 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1537439725.369 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1537439725.369 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1537439725.369 * [misc]backup-simplify: Simplify (* 0 (log (* 2 (* n PI)))) into 0 1537439725.370 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1537439725.370 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1537439725.371 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1537439725.372 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1537439725.372 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1/2 (log (* 2 (* n PI))))) into (* 1/2 (log (* 2 (* n PI)))) 1537439725.372 * [misc]backup-simplify: Simplify (exp 0) into 1 1537439725.372 * [misc]taylor: Taking taylor expansion of k in k 1537439725.372 * [misc]backup-simplify: Simplify 0 into 0 1537439725.372 * [misc]backup-simplify: Simplify 1 into 1 1537439725.372 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1537439725.372 * [misc]taylor: Taking taylor expansion of n in k 1537439725.372 * [misc]backup-simplify: Simplify n into n 1537439725.372 * [misc]taylor: Taking taylor expansion of PI in k 1537439725.372 * [misc]backup-simplify: Simplify PI into PI 1537439725.372 * [misc]backup-simplify: Simplify (* 1 0) into 0 1537439725.373 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/2 (log (* 2 (* n PI)))) 1) 1)))) into (* 1/2 (log (* 2 (* n PI)))) 1537439725.373 * [misc]backup-simplify: Simplify (+ (* 1 1) (* (* 1/2 (log (* 2 (* n PI)))) 0)) into 1 1537439725.373 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1537439725.373 * [misc]backup-simplify: Simplify (/ 1 (* n PI)) into (/ 1 (* n PI)) 1537439725.374 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537439725.374 * [misc]backup-simplify: Simplify (/ (/ 1 (* n PI)) (* 2 (sqrt 0))) into (/ +nan.0 (* n PI)) 1537439725.374 * [misc]backup-simplify: Simplify (* (/ 1 (sqrt 2)) 0) into 0 1537439725.374 * [misc]taylor: Taking taylor expansion of 0 in n 1537439725.374 * [misc]backup-simplify: Simplify 0 into 0 1537439725.375 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1537439725.375 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (/ +nan.0 (* n PI))) (* 0 0)) into (- (* +nan.0 (/ 1 (* (sqrt 2) (* n PI))))) 1537439725.375 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (sqrt 2) (* n PI))))) in n 1537439725.375 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (sqrt 2) (* n PI)))) in n 1537439725.375 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537439725.375 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537439725.376 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (* n PI))) in n 1537439725.376 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* n PI)) in n 1537439725.376 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537439725.376 * [misc]taylor: Taking taylor expansion of 2 in n 1537439725.376 * [misc]backup-simplify: Simplify 2 into 2 1537439725.376 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537439725.376 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537439725.376 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537439725.376 * [misc]taylor: Taking taylor expansion of n in n 1537439725.376 * [misc]backup-simplify: Simplify 0 into 0 1537439725.376 * [misc]backup-simplify: Simplify 1 into 1 1537439725.376 * [misc]taylor: Taking taylor expansion of PI in n 1537439725.376 * [misc]backup-simplify: Simplify PI into PI 1537439725.377 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537439725.377 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1537439725.377 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537439725.378 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) PI) (* 0 0)) into (* (sqrt 2) PI) 1537439725.379 * [misc]backup-simplify: Simplify (/ 1 (* (sqrt 2) PI)) into (/ 1 (* (sqrt 2) PI)) 1537439725.380 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (* (sqrt 2) PI))) into (/ +nan.0 (* (sqrt 2) PI)) 1537439725.381 * [misc]backup-simplify: Simplify (- (/ +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) 1537439725.383 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) into (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) 1537439725.383 * [misc]backup-simplify: Simplify 0 into 0 1537439725.384 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1537439725.384 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 1537439725.387 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 1)))) 2) into 0 1537439725.387 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1537439725.388 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 1537439725.390 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/2 (log (* 2 (* n PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (pow (log (* 2 (* n PI))) 2)) 1537439725.391 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (* 1/2 (log (* 2 (* n PI)))) 1) (* (* 1/8 (pow (log (* 2 (* n PI))) 2)) 0))) into (* 1/2 (log (* 2 (* n PI)))) 1537439725.392 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1537439725.392 * [misc]backup-simplify: Simplify (- (/ (* 1/2 (log (* 2 (* n PI)))) (* n PI)) (+ (* (/ 1 (* n PI)) (/ 0 (* n PI))))) into (* 1/2 (/ (log (* 2 (* n PI))) (* n PI))) 1537439725.393 * [misc]backup-simplify: Simplify (/ (- (* 1/2 (/ (log (* 2 (* n PI))) (* n PI))) (pow (/ +nan.0 (* n PI)) 2) (+)) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ (log (* 2 (* n PI))) (* n PI))) (* +nan.0 (/ 1 (* (pow n 2) (pow PI 2)))))) 1537439725.395 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1537439725.395 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1537439725.397 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (* +nan.0 (- (* 1/2 (/ (log (* 2 (* n PI))) (* n PI))) (* +nan.0 (/ 1 (* (pow n 2) (pow PI 2))))))) (+ (* 0 (/ +nan.0 (* n PI))) (* 0 0))) into (- (+ (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 2) (pow PI 2))))) (- (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* n PI))))))) 1537439725.398 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 2) (pow PI 2))))) (- (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* n PI))))))) in n 1537439725.398 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 2) (pow PI 2))))) (- (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* n PI)))))) in n 1537439725.398 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 2) (pow PI 2))))) in n 1537439725.398 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537439725.398 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537439725.398 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (* (pow n 2) (pow PI 2)))) in n 1537439725.398 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow n 2) (pow PI 2))) in n 1537439725.398 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537439725.398 * [misc]taylor: Taking taylor expansion of 2 in n 1537439725.398 * [misc]backup-simplify: Simplify 2 into 2 1537439725.398 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537439725.398 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537439725.398 * [misc]taylor: Taking taylor expansion of (* (pow n 2) (pow PI 2)) in n 1537439725.398 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1537439725.398 * [misc]taylor: Taking taylor expansion of n in n 1537439725.398 * [misc]backup-simplify: Simplify 0 into 0 1537439725.398 * [misc]backup-simplify: Simplify 1 into 1 1537439725.398 * [misc]taylor: Taking taylor expansion of (pow PI 2) in n 1537439725.398 * [misc]taylor: Taking taylor expansion of PI in n 1537439725.399 * [misc]backup-simplify: Simplify PI into PI 1537439725.399 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537439725.399 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1537439725.400 * [misc]backup-simplify: Simplify (* 1 (pow PI 2)) into (pow PI 2) 1537439725.401 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2)) 1537439725.402 * [misc]backup-simplify: Simplify (/ 1 (* (sqrt 2) (pow PI 2))) into (/ 1 (* (sqrt 2) (pow PI 2))) 1537439725.402 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* n PI))))) in n 1537439725.402 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* n PI)))) in n 1537439725.402 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537439725.402 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537439725.402 * [misc]taylor: Taking taylor expansion of (/ (log (* 2 (* n PI))) (* (sqrt 2) (* n PI))) in n 1537439725.402 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1537439725.402 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537439725.402 * [misc]taylor: Taking taylor expansion of 2 in n 1537439725.402 * [misc]backup-simplify: Simplify 2 into 2 1537439725.402 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537439725.402 * [misc]taylor: Taking taylor expansion of n in n 1537439725.402 * [misc]backup-simplify: Simplify 0 into 0 1537439725.402 * [misc]backup-simplify: Simplify 1 into 1 1537439725.402 * [misc]taylor: Taking taylor expansion of PI in n 1537439725.402 * [misc]backup-simplify: Simplify PI into PI 1537439725.402 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537439725.403 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537439725.403 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537439725.404 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537439725.405 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537439725.405 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* n PI)) in n 1537439725.405 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537439725.405 * [misc]taylor: Taking taylor expansion of 2 in n 1537439725.405 * [misc]backup-simplify: Simplify 2 into 2 1537439725.405 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537439725.405 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537439725.405 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537439725.405 * [misc]taylor: Taking taylor expansion of n in n 1537439725.405 * [misc]backup-simplify: Simplify 0 into 0 1537439725.405 * [misc]backup-simplify: Simplify 1 into 1 1537439725.405 * [misc]taylor: Taking taylor expansion of PI in n 1537439725.405 * [misc]backup-simplify: Simplify PI into PI 1537439725.406 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537439725.406 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537439725.407 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1537439725.407 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537439725.408 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) PI) (* 0 0)) into (* (sqrt 2) PI) 1537439725.409 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537439725.410 * [misc]backup-simplify: Simplify (/ (+ (log n) (log (* 2 PI))) (* (sqrt 2) PI)) into (/ (+ (log n) (log (* 2 PI))) (* (sqrt 2) PI)) 1537439725.411 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 1537439725.411 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1537439725.412 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow PI 2))) into 0 1537439725.414 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 2))) into 0 1537439725.418 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) (pow PI 2))) (/ 0 (* (sqrt 2) (pow PI 2)))))) into 0 1537439725.420 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (* (sqrt 2) (pow PI 2))))) into 0 1537439725.421 * [misc]backup-simplify: Simplify (* +nan.0 (/ (+ (log n) (log (* 2 PI))) (* (sqrt 2) PI))) into (* +nan.0 (/ (+ (log n) (log (* 2 PI))) (* (sqrt 2) PI))) 1537439725.422 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (+ (log n) (log (* 2 PI))) (* (sqrt 2) PI)))) into (- (+ (* +nan.0 (/ (log (* 2 PI)) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))) 1537439725.424 * [misc]backup-simplify: Simplify (+ 0 (- (+ (* +nan.0 (/ (log (* 2 PI)) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (/ (log (* 2 PI)) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))) 1537439725.426 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (/ (log (* 2 PI)) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (/ (log (* 2 PI)) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))) 1537439725.427 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ (log (* 2 PI)) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))) into (- (+ (* +nan.0 (/ (log (* 2 PI)) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))) 1537439725.428 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1537439725.429 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1537439725.430 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 PI) (* 0 0))) into 0 1537439725.432 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) PI)) (/ 0 (* (sqrt 2) PI))))) into 0 1537439725.432 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (* (sqrt 2) PI)))) into 0 1537439725.433 * [misc]backup-simplify: Simplify (- 0) into 0 1537439725.433 * [misc]backup-simplify: Simplify 0 into 0 1537439725.433 * [misc]backup-simplify: Simplify 0 into 0 1537439725.433 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537439725.434 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 1537439725.436 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 (* n PI)) 1)))) 6) into 0 1537439725.437 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1537439725.437 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0 1537439725.439 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/2 (log (* 2 (* n PI)))) 3) 6)) (* (/ (pow (* 1/2 (log (* 2 (* n PI)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/48 (pow (log (* 2 (* n PI))) 3)) 1537439725.440 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (* 1/2 (log (* 2 (* n PI)))) 0) (+ (* (* 1/8 (pow (log (* 2 (* n PI))) 2)) 1) (* (* 1/48 (pow (log (* 2 (* n PI))) 3)) 0)))) into (* 1/8 (pow (log (* 2 (* n PI))) 2)) 1537439725.441 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1537439725.442 * [misc]backup-simplify: Simplify (- (/ (* 1/8 (pow (log (* 2 (* n PI))) 2)) (* n PI)) (+ (* (/ 1 (* n PI)) (/ 0 (* n PI))) (* (* 1/2 (/ (log (* 2 (* n PI))) (* n PI))) (/ 0 (* n PI))))) into (* 1/8 (/ (pow (log (* 2 (* n PI))) 2) (* n PI))) 1537439725.444 * [misc]backup-simplify: Simplify (/ (- (* 1/8 (/ (pow (log (* 2 (* n PI))) 2) (* n PI))) (+ (* 2 (* (/ +nan.0 (* n PI)) (* +nan.0 (- (* 1/2 (/ (log (* 2 (* n PI))) (* n PI))) (* +nan.0 (/ 1 (* (pow n 2) (pow PI 2)))))))))) (* 2 0)) into (* +nan.0 (- (* 1/8 (/ (pow (log (* 2 (* n PI))) 2) (* n PI))) (+ (* +nan.0 (/ (log (* 2 (* n PI))) (* (pow n 2) (pow PI 2)))) (- (* +nan.0 (/ 1 (* (pow n 3) (pow PI 3)))))))) 1537439725.444 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537439725.445 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1537439725.449 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (* +nan.0 (- (* 1/8 (/ (pow (log (* 2 (* n PI))) 2) (* n PI))) (+ (* +nan.0 (/ (log (* 2 (* n PI))) (* (pow n 2) (pow PI 2)))) (- (* +nan.0 (/ 1 (* (pow n 3) (pow PI 3))))))))) (+ (* 0 (* +nan.0 (- (* 1/2 (/ (log (* 2 (* n PI))) (* n PI))) (* +nan.0 (/ 1 (* (pow n 2) (pow PI 2))))))) (+ (* 0 (/ +nan.0 (* n PI))) (* 0 0)))) into (- (+ (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* (pow n 2) (pow PI 2))))) (- (+ (* +nan.0 (/ (pow (log (* 2 (* n PI))) 2) (* (sqrt 2) (* n PI)))) (- (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 3) (pow PI 3)))))))))) 1537439725.449 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* (pow n 2) (pow PI 2))))) (- (+ (* +nan.0 (/ (pow (log (* 2 (* n PI))) 2) (* (sqrt 2) (* n PI)))) (- (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 3) (pow PI 3)))))))))) in n 1537439725.449 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* (pow n 2) (pow PI 2))))) (- (+ (* +nan.0 (/ (pow (log (* 2 (* n PI))) 2) (* (sqrt 2) (* n PI)))) (- (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 3) (pow PI 3))))))))) in n 1537439725.449 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* (pow n 2) (pow PI 2))))) in n 1537439725.449 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537439725.449 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537439725.449 * [misc]taylor: Taking taylor expansion of (/ (log (* 2 (* n PI))) (* (sqrt 2) (* (pow n 2) (pow PI 2)))) in n 1537439725.449 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1537439725.449 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537439725.449 * [misc]taylor: Taking taylor expansion of 2 in n 1537439725.449 * [misc]backup-simplify: Simplify 2 into 2 1537439725.449 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537439725.449 * [misc]taylor: Taking taylor expansion of n in n 1537439725.449 * [misc]backup-simplify: Simplify 0 into 0 1537439725.449 * [misc]backup-simplify: Simplify 1 into 1 1537439725.449 * [misc]taylor: Taking taylor expansion of PI in n 1537439725.449 * [misc]backup-simplify: Simplify PI into PI 1537439725.450 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537439725.450 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537439725.450 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537439725.451 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537439725.451 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537439725.451 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow n 2) (pow PI 2))) in n 1537439725.451 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537439725.451 * [misc]taylor: Taking taylor expansion of 2 in n 1537439725.451 * [misc]backup-simplify: Simplify 2 into 2 1537439725.451 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537439725.451 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537439725.451 * [misc]taylor: Taking taylor expansion of (* (pow n 2) (pow PI 2)) in n 1537439725.451 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1537439725.451 * [misc]taylor: Taking taylor expansion of n in n 1537439725.451 * [misc]backup-simplify: Simplify 0 into 0 1537439725.451 * [misc]backup-simplify: Simplify 1 into 1 1537439725.451 * [misc]taylor: Taking taylor expansion of (pow PI 2) in n 1537439725.452 * [misc]taylor: Taking taylor expansion of PI in n 1537439725.452 * [misc]backup-simplify: Simplify PI into PI 1537439725.452 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537439725.452 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537439725.452 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1537439725.454 * [misc]backup-simplify: Simplify (* 1 (pow PI 2)) into (pow PI 2) 1537439725.455 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2)) 1537439725.455 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537439725.456 * [misc]backup-simplify: Simplify (/ (+ (log n) (log (* 2 PI))) (* (sqrt 2) (pow PI 2))) into (/ (+ (log n) (log (* 2 PI))) (* (sqrt 2) (pow PI 2))) 1537439725.456 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (/ (pow (log (* 2 (* n PI))) 2) (* (sqrt 2) (* n PI)))) (- (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 3) (pow PI 3)))))))) in n 1537439725.456 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (/ (pow (log (* 2 (* n PI))) 2) (* (sqrt 2) (* n PI)))) (- (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 3) (pow PI 3))))))) in n 1537439725.456 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (pow (log (* 2 (* n PI))) 2) (* (sqrt 2) (* n PI)))) in n 1537439725.456 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537439725.456 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537439725.456 * [misc]taylor: Taking taylor expansion of (/ (pow (log (* 2 (* n PI))) 2) (* (sqrt 2) (* n PI))) in n 1537439725.456 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n 1537439725.456 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1537439725.456 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537439725.456 * [misc]taylor: Taking taylor expansion of 2 in n 1537439725.456 * [misc]backup-simplify: Simplify 2 into 2 1537439725.456 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537439725.456 * [misc]taylor: Taking taylor expansion of n in n 1537439725.456 * [misc]backup-simplify: Simplify 0 into 0 1537439725.456 * [misc]backup-simplify: Simplify 1 into 1 1537439725.457 * [misc]taylor: Taking taylor expansion of PI in n 1537439725.457 * [misc]backup-simplify: Simplify PI into PI 1537439725.457 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537439725.457 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537439725.457 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537439725.458 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537439725.458 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537439725.459 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537439725.459 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* n PI)) in n 1537439725.459 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537439725.459 * [misc]taylor: Taking taylor expansion of 2 in n 1537439725.459 * [misc]backup-simplify: Simplify 2 into 2 1537439725.459 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537439725.459 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537439725.459 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537439725.459 * [misc]taylor: Taking taylor expansion of n in n 1537439725.459 * [misc]backup-simplify: Simplify 0 into 0 1537439725.459 * [misc]backup-simplify: Simplify 1 into 1 1537439725.459 * [misc]taylor: Taking taylor expansion of PI in n 1537439725.459 * [misc]backup-simplify: Simplify PI into PI 1537439725.460 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537439725.460 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537439725.462 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2) 1537439725.462 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537439725.463 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1537439725.463 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537439725.464 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) PI) (* 0 0)) into (* (sqrt 2) PI) 1537439725.465 * [misc]backup-simplify: Simplify (/ (pow (+ (log n) (log (* 2 PI))) 2) (* (sqrt 2) PI)) into (/ (pow (+ (log n) (log (* 2 PI))) 2) (* (sqrt 2) PI)) 1537439725.466 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 3) (pow PI 3)))))) in n 1537439725.466 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 3) (pow PI 3))))) in n 1537439725.466 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537439725.466 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537439725.466 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (* (pow n 3) (pow PI 3)))) in n 1537439725.466 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow n 3) (pow PI 3))) in n 1537439725.466 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537439725.466 * [misc]taylor: Taking taylor expansion of 2 in n 1537439725.466 * [misc]backup-simplify: Simplify 2 into 2 1537439725.466 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537439725.466 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537439725.466 * [misc]taylor: Taking taylor expansion of (* (pow n 3) (pow PI 3)) in n 1537439725.466 * [misc]taylor: Taking taylor expansion of (pow n 3) in n 1537439725.466 * [misc]taylor: Taking taylor expansion of n in n 1537439725.466 * [misc]backup-simplify: Simplify 0 into 0 1537439725.466 * [misc]backup-simplify: Simplify 1 into 1 1537439725.466 * [misc]taylor: Taking taylor expansion of (pow PI 3) in n 1537439725.466 * [misc]taylor: Taking taylor expansion of PI in n 1537439725.466 * [misc]backup-simplify: Simplify PI into PI 1537439725.467 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537439725.467 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537439725.467 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1537439725.468 * [misc]backup-simplify: Simplify (* PI (pow PI 2)) into (pow PI 3) 1537439725.468 * [misc]backup-simplify: Simplify (* 1 (pow PI 3)) into (pow PI 3) 1537439725.469 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 3)) into (* (sqrt 2) (pow PI 3)) 1537439725.469 * [misc]backup-simplify: Simplify (/ 1 (* (sqrt 2) (pow PI 3))) into (/ 1 (* (sqrt 2) (pow PI 3))) 1537439725.470 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1537439725.471 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1537439725.473 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537439725.473 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 1537439725.473 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1537439725.474 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow PI 2))) into 0 1537439725.475 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 2))) into 0 1537439725.477 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt 2) (pow PI 2))) (+ (* (/ (+ (log n) (log (* 2 PI))) (* (sqrt 2) (pow PI 2))) (/ 0 (* (sqrt 2) (pow PI 2)))))) into 0 1537439725.478 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ (+ (log n) (log (* 2 PI))) (* (sqrt 2) (pow PI 2))))) into 0 1537439725.479 * [misc]backup-simplify: Simplify (* +nan.0 (/ (pow (+ (log n) (log (* 2 PI))) 2) (* (sqrt 2) PI))) into (* +nan.0 (/ (pow (+ (log n) (log (* 2 PI))) 2) (* (sqrt 2) PI))) 1537439725.480 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 1537439725.480 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 1537439725.482 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 1537439725.482 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1537439725.482 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1537439725.483 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (pow PI 2))) into 0 1537439725.483 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1537439725.483 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1537439725.484 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow PI 3)))) into 0 1537439725.485 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow PI 3))) into 0 1537439725.485 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1537439725.486 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (pow PI 3)))) into 0 1537439725.487 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 3))) into 0 1537439725.489 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) (pow PI 3))) (/ 0 (* (sqrt 2) (pow PI 3)))))) into 0 1537439725.493 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) (pow PI 3))) (/ 0 (* (sqrt 2) (pow PI 3)))) (* 0 (/ 0 (* (sqrt 2) (pow PI 3)))))) into 0 1537439725.495 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (/ 1 (* (sqrt 2) (pow PI 3)))))) into 0 1537439725.495 * [misc]backup-simplify: Simplify (- 0) into 0 1537439725.496 * [misc]backup-simplify: Simplify (+ (* +nan.0 (/ (pow (+ (log n) (log (* 2 PI))) 2) (* (sqrt 2) PI))) 0) into (- (+ (* +nan.0 (/ (pow (log n) 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (* (log n) (log (* 2 PI))) (* (sqrt 2) PI)))))))) 1537439725.503 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (/ (pow (log n) 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (* (log n) (log (* 2 PI))) (* (sqrt 2) PI))))))))) into (- (+ (* +nan.0 (/ (pow (log n) 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (* (log n) (log (* 2 PI))) (* (sqrt 2) PI)))))))) 1537439725.510 * [misc]backup-simplify: Simplify (+ 0 (- (+ (* +nan.0 (/ (pow (log n) 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (* (log n) (log (* 2 PI))) (* (sqrt 2) PI))))))))) into (- (+ (* +nan.0 (/ (pow (log n) 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (* (log n) (log (* 2 PI))) (* (sqrt 2) PI)))))))) 1537439725.516 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (/ (pow (log n) 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (* (log n) (log (* 2 PI))) (* (sqrt 2) PI))))))))) into (- (+ (* +nan.0 (/ (pow (log n) 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (* (log n) (log (* 2 PI))) (* (sqrt 2) PI)))))))) 1537439725.521 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ (pow (log n) 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (* (log n) (log (* 2 PI))) (* (sqrt 2) PI)))))))) into (- (+ (* +nan.0 (/ (pow (log n) 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (* (log n) (log (* 2 PI))) (* (sqrt 2) PI)))))))) 1537439725.532 * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (/ (pow (log n) 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (* (log n) (log (* 2 PI))) (* (sqrt 2) PI)))))))) (* (/ 1 n) (pow k 3))) (+ (* (- (+ (* +nan.0 (/ (log (* 2 PI)) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))) (* (/ 1 n) (pow k 2))) (* (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) (* (/ 1 n) k)))) into (- (+ (* +nan.0 (/ (* (pow k 2) (log (* 2 PI))) (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ (* (log n) (pow k 2)) (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ k (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ (* (pow (log n) 2) (pow k 3)) (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ (* (pow k 3) (pow (log (* 2 PI)) 2)) (* (sqrt 2) (* n PI)))) (- (* +nan.0 (/ (* (pow k 3) (* (log n) (log (* 2 PI)))) (* (sqrt 2) (* n PI))))))))))))))) 1537439725.533 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 k)) (/ (pow (* PI (* (/ 1 n) 2)) 1/2) (sqrt (pow (* PI (* (/ 1 n) 2)) (/ (/ 1 k) 2))))) into (* (/ 1 (sqrt 2)) (sqrt (/ (* (pow (* 2 (/ PI n)) (/ 1/2 k)) n) (* PI k)))) 1537439725.533 * [misc]approximate: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt (/ (* (pow (* 2 (/ PI n)) (/ 1/2 k)) n) (* PI k)))) in (k n) around 0 1537439725.533 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt (/ (* (pow (* 2 (/ PI n)) (/ 1/2 k)) n) (* PI k)))) in n 1537439725.533 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt 2)) in n 1537439725.533 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537439725.533 * [misc]taylor: Taking taylor expansion of 2 in n 1537439725.533 * [misc]backup-simplify: Simplify 2 into 2 1537439725.533 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537439725.533 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537439725.534 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1537439725.534 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* (pow (* 2 (/ PI n)) (/ 1/2 k)) n) (* PI k))) in n 1537439725.534 * [misc]taylor: Taking taylor expansion of (/ (* (pow (* 2 (/ PI n)) (/ 1/2 k)) n) (* PI k)) in n 1537439725.534 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (/ 1/2 k)) n) in n 1537439725.534 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in n 1537439725.534 * [misc]taylor: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in n 1537439725.534 * [misc]taylor: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in n 1537439725.534 * [misc]taylor: Taking taylor expansion of (/ 1/2 k) in n 1537439725.534 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537439725.534 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439725.534 * [misc]taylor: Taking taylor expansion of k in n 1537439725.534 * [misc]backup-simplify: Simplify k into k 1537439725.534 * [misc]backup-simplify: Simplify (/ 1/2 k) into (/ 1/2 k) 1537439725.534 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1537439725.534 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537439725.534 * [misc]taylor: Taking taylor expansion of 2 in n 1537439725.534 * [misc]backup-simplify: Simplify 2 into 2 1537439725.534 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537439725.534 * [misc]taylor: Taking taylor expansion of PI in n 1537439725.534 * [misc]backup-simplify: Simplify PI into PI 1537439725.534 * [misc]taylor: Taking taylor expansion of n in n 1537439725.534 * [misc]backup-simplify: Simplify 0 into 0 1537439725.534 * [misc]backup-simplify: Simplify 1 into 1 1537439725.535 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537439725.535 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537439725.536 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537439725.536 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537439725.537 * [misc]backup-simplify: Simplify (* (/ 1/2 k) (- (log (* 2 PI)) (log n))) into (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1537439725.538 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537439725.538 * [misc]taylor: Taking taylor expansion of n in n 1537439725.538 * [misc]backup-simplify: Simplify 0 into 0 1537439725.538 * [misc]backup-simplify: Simplify 1 into 1 1537439725.538 * [misc]taylor: Taking taylor expansion of (* PI k) in n 1537439725.538 * [misc]taylor: Taking taylor expansion of PI in n 1537439725.538 * [misc]backup-simplify: Simplify PI into PI 1537439725.538 * [misc]taylor: Taking taylor expansion of k in n 1537439725.538 * [misc]backup-simplify: Simplify k into k 1537439725.539 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) into 0 1537439725.540 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537439725.540 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537439725.543 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537439725.544 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ 1/2 k) (/ 0 k)))) into 0 1537439725.544 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537439725.545 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1537439725.547 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1537439725.548 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1) (* 0 0)) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537439725.548 * [misc]backup-simplify: Simplify (* PI k) into (* PI k) 1537439725.549 * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* PI k)) into (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* PI k)) 1537439725.549 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537439725.550 * [misc]backup-simplify: Simplify (/ (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* PI k)) (* 2 (sqrt 0))) into (* +nan.0 (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* PI k))) 1537439725.550 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt (/ (* (pow (* 2 (/ PI n)) (/ 1/2 k)) n) (* PI k)))) in k 1537439725.550 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt 2)) in k 1537439725.550 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537439725.550 * [misc]taylor: Taking taylor expansion of 2 in k 1537439725.550 * [misc]backup-simplify: Simplify 2 into 2 1537439725.550 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537439725.550 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537439725.551 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1537439725.551 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* (pow (* 2 (/ PI n)) (/ 1/2 k)) n) (* PI k))) in k 1537439725.551 * [misc]taylor: Taking taylor expansion of (/ (* (pow (* 2 (/ PI n)) (/ 1/2 k)) n) (* PI k)) in k 1537439725.551 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (/ 1/2 k)) n) in k 1537439725.551 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in k 1537439725.551 * [misc]taylor: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in k 1537439725.551 * [misc]taylor: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in k 1537439725.551 * [misc]taylor: Taking taylor expansion of (/ 1/2 k) in k 1537439725.551 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537439725.551 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439725.551 * [misc]taylor: Taking taylor expansion of k in k 1537439725.551 * [misc]backup-simplify: Simplify 0 into 0 1537439725.551 * [misc]backup-simplify: Simplify 1 into 1 1537439725.551 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 1537439725.551 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1537439725.551 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1537439725.551 * [misc]taylor: Taking taylor expansion of 2 in k 1537439725.551 * [misc]backup-simplify: Simplify 2 into 2 1537439725.551 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1537439725.551 * [misc]taylor: Taking taylor expansion of PI in k 1537439725.551 * [misc]backup-simplify: Simplify PI into PI 1537439725.551 * [misc]taylor: Taking taylor expansion of n in k 1537439725.551 * [misc]backup-simplify: Simplify n into n 1537439725.552 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537439725.552 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1537439725.552 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1537439725.552 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (/ PI n)))) into (* 1/2 (log (* 2 (/ PI n)))) 1537439725.552 * [misc]backup-simplify: Simplify (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) into (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 1537439725.552 * [misc]taylor: Taking taylor expansion of n in k 1537439725.552 * [misc]backup-simplify: Simplify n into n 1537439725.552 * [misc]taylor: Taking taylor expansion of (* PI k) in k 1537439725.552 * [misc]taylor: Taking taylor expansion of PI in k 1537439725.552 * [misc]backup-simplify: Simplify PI into PI 1537439725.552 * [misc]taylor: Taking taylor expansion of k in k 1537439725.552 * [misc]backup-simplify: Simplify 0 into 0 1537439725.552 * [misc]backup-simplify: Simplify 1 into 1 1537439725.553 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) into (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) 1537439725.553 * [misc]backup-simplify: Simplify (* PI 0) into 0 1537439725.554 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1537439725.554 * [misc]backup-simplify: Simplify (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) PI) into (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) PI) 1537439725.554 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537439725.555 * [misc]backup-simplify: Simplify (/ (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) PI) (* 2 (sqrt 0))) into (* +nan.0 (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) PI)) 1537439725.555 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt (/ (* (pow (* 2 (/ PI n)) (/ 1/2 k)) n) (* PI k)))) in k 1537439725.555 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt 2)) in k 1537439725.555 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537439725.555 * [misc]taylor: Taking taylor expansion of 2 in k 1537439725.555 * [misc]backup-simplify: Simplify 2 into 2 1537439725.555 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537439725.555 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537439725.556 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1537439725.556 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* (pow (* 2 (/ PI n)) (/ 1/2 k)) n) (* PI k))) in k 1537439725.556 * [misc]taylor: Taking taylor expansion of (/ (* (pow (* 2 (/ PI n)) (/ 1/2 k)) n) (* PI k)) in k 1537439725.556 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (/ 1/2 k)) n) in k 1537439725.556 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in k 1537439725.556 * [misc]taylor: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in k 1537439725.556 * [misc]taylor: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in k 1537439725.556 * [misc]taylor: Taking taylor expansion of (/ 1/2 k) in k 1537439725.556 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537439725.556 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439725.556 * [misc]taylor: Taking taylor expansion of k in k 1537439725.556 * [misc]backup-simplify: Simplify 0 into 0 1537439725.556 * [misc]backup-simplify: Simplify 1 into 1 1537439725.556 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 1537439725.556 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1537439725.556 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1537439725.556 * [misc]taylor: Taking taylor expansion of 2 in k 1537439725.556 * [misc]backup-simplify: Simplify 2 into 2 1537439725.556 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1537439725.556 * [misc]taylor: Taking taylor expansion of PI in k 1537439725.556 * [misc]backup-simplify: Simplify PI into PI 1537439725.556 * [misc]taylor: Taking taylor expansion of n in k 1537439725.556 * [misc]backup-simplify: Simplify n into n 1537439725.556 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537439725.557 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1537439725.557 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1537439725.557 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (/ PI n)))) into (* 1/2 (log (* 2 (/ PI n)))) 1537439725.557 * [misc]backup-simplify: Simplify (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) into (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 1537439725.557 * [misc]taylor: Taking taylor expansion of n in k 1537439725.557 * [misc]backup-simplify: Simplify n into n 1537439725.557 * [misc]taylor: Taking taylor expansion of (* PI k) in k 1537439725.557 * [misc]taylor: Taking taylor expansion of PI in k 1537439725.557 * [misc]backup-simplify: Simplify PI into PI 1537439725.557 * [misc]taylor: Taking taylor expansion of k in k 1537439725.557 * [misc]backup-simplify: Simplify 0 into 0 1537439725.557 * [misc]backup-simplify: Simplify 1 into 1 1537439725.558 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) into (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) 1537439725.558 * [misc]backup-simplify: Simplify (* PI 0) into 0 1537439725.559 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1537439725.559 * [misc]backup-simplify: Simplify (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) PI) into (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) PI) 1537439725.560 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537439725.560 * [misc]backup-simplify: Simplify (/ (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) PI) (* 2 (sqrt 0))) into (* +nan.0 (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) PI)) 1537439725.560 * [misc]backup-simplify: Simplify (* (/ 1 (sqrt 2)) 0) into 0 1537439725.560 * [misc]taylor: Taking taylor expansion of 0 in n 1537439725.560 * [misc]backup-simplify: Simplify 0 into 0 1537439725.560 * [misc]backup-simplify: Simplify 0 into 0 1537439725.561 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1537439725.562 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (* +nan.0 (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) PI))) (* 0 0)) into (- (* +nan.0 (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) (* (sqrt 2) PI)))) 1537439725.562 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) (* (sqrt 2) PI)))) in n 1537439725.562 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) (* (sqrt 2) PI))) in n 1537439725.562 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537439725.562 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537439725.562 * [misc]taylor: Taking taylor expansion of (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) (* (sqrt 2) PI)) in n 1537439725.562 * [misc]taylor: Taking taylor expansion of (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) in n 1537439725.562 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) in n 1537439725.562 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (log (* 2 (/ PI n))) k)) in n 1537439725.562 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537439725.562 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439725.562 * [misc]taylor: Taking taylor expansion of (/ (log (* 2 (/ PI n))) k) in n 1537439725.562 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1537439725.562 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537439725.562 * [misc]taylor: Taking taylor expansion of 2 in n 1537439725.562 * [misc]backup-simplify: Simplify 2 into 2 1537439725.562 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537439725.562 * [misc]taylor: Taking taylor expansion of PI in n 1537439725.562 * [misc]backup-simplify: Simplify PI into PI 1537439725.562 * [misc]taylor: Taking taylor expansion of n in n 1537439725.562 * [misc]backup-simplify: Simplify 0 into 0 1537439725.562 * [misc]backup-simplify: Simplify 1 into 1 1537439725.563 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537439725.563 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537439725.564 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537439725.564 * [misc]taylor: Taking taylor expansion of k in n 1537439725.564 * [misc]backup-simplify: Simplify k into k 1537439725.564 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537439725.565 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537439725.566 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) k) into (/ (- (log (* 2 PI)) (log n)) k) 1537439725.566 * [misc]backup-simplify: Simplify (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) into (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1537439725.567 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537439725.567 * [misc]taylor: Taking taylor expansion of n in n 1537439725.567 * [misc]backup-simplify: Simplify 0 into 0 1537439725.567 * [misc]backup-simplify: Simplify 1 into 1 1537439725.567 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) PI) in n 1537439725.567 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537439725.567 * [misc]taylor: Taking taylor expansion of 2 in n 1537439725.567 * [misc]backup-simplify: Simplify 2 into 2 1537439725.567 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537439725.568 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537439725.568 * [misc]taylor: Taking taylor expansion of PI in n 1537439725.568 * [misc]backup-simplify: Simplify PI into PI 1537439725.568 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) into 0 1537439725.570 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537439725.570 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537439725.576 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537439725.577 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log (* 2 PI)) (log n)) k) (/ 0 k)))) into 0 1537439725.578 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ (- (log (* 2 PI)) (log n)) k))) into 0 1537439725.579 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1537439725.580 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1) (* 0 0)) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537439725.581 * [misc]backup-simplify: Simplify (* (sqrt 2) PI) into (* (sqrt 2) PI) 1537439725.582 * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)) into (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)) 1537439725.582 * [misc]backup-simplify: Simplify 0 into 0 1537439725.582 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 0) (* 0 n)) into 0 1537439725.583 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 1537439725.584 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) PI) (/ 0 PI)))) into 0 1537439725.586 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) PI)) 2) (+)) (* 2 0)) into (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 2) (pow n 2)) (pow PI 2))) 1537439725.587 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1537439725.587 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1537439725.591 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 2) (pow n 2)) (pow PI 2)))) (+ (* 0 (* +nan.0 (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) PI))) (* 0 0))) into (- (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 2) (pow n 2)) (* (sqrt 2) (pow PI 2))))) 1537439725.591 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 2) (pow n 2)) (* (sqrt 2) (pow PI 2))))) in n 1537439725.591 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 2) (pow n 2)) (* (sqrt 2) (pow PI 2)))) in n 1537439725.591 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537439725.591 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537439725.591 * [misc]taylor: Taking taylor expansion of (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 2) (pow n 2)) (* (sqrt 2) (pow PI 2))) in n 1537439725.591 * [misc]taylor: Taking taylor expansion of (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 2) (pow n 2)) in n 1537439725.591 * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 2) in n 1537439725.591 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) in n 1537439725.591 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (log (* 2 (/ PI n))) k)) in n 1537439725.591 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537439725.591 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439725.591 * [misc]taylor: Taking taylor expansion of (/ (log (* 2 (/ PI n))) k) in n 1537439725.591 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1537439725.591 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537439725.591 * [misc]taylor: Taking taylor expansion of 2 in n 1537439725.591 * [misc]backup-simplify: Simplify 2 into 2 1537439725.591 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537439725.591 * [misc]taylor: Taking taylor expansion of PI in n 1537439725.591 * [misc]backup-simplify: Simplify PI into PI 1537439725.591 * [misc]taylor: Taking taylor expansion of n in n 1537439725.591 * [misc]backup-simplify: Simplify 0 into 0 1537439725.591 * [misc]backup-simplify: Simplify 1 into 1 1537439725.592 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537439725.592 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537439725.592 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537439725.592 * [misc]taylor: Taking taylor expansion of k in n 1537439725.592 * [misc]backup-simplify: Simplify k into k 1537439725.593 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537439725.593 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537439725.594 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) k) into (/ (- (log (* 2 PI)) (log n)) k) 1537439725.594 * [misc]backup-simplify: Simplify (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) into (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1537439725.594 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537439725.594 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1537439725.595 * [misc]taylor: Taking taylor expansion of n in n 1537439725.595 * [misc]backup-simplify: Simplify 0 into 0 1537439725.595 * [misc]backup-simplify: Simplify 1 into 1 1537439725.595 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow PI 2)) in n 1537439725.595 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537439725.595 * [misc]taylor: Taking taylor expansion of 2 in n 1537439725.595 * [misc]backup-simplify: Simplify 2 into 2 1537439725.595 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537439725.595 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537439725.595 * [misc]taylor: Taking taylor expansion of (pow PI 2) in n 1537439725.595 * [misc]taylor: Taking taylor expansion of PI in n 1537439725.595 * [misc]backup-simplify: Simplify PI into PI 1537439725.596 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 2) 1537439725.596 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537439725.597 * [misc]backup-simplify: Simplify (* (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 2) 1) into (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 2) 1537439725.597 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1537439725.597 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2)) 1537439725.599 * [misc]backup-simplify: Simplify (/ (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 2) (* (sqrt 2) (pow PI 2))) into (/ (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 2) (* (sqrt 2) (pow PI 2))) 1537439725.600 * [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))) 1537439725.601 * [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)))) 1537439725.602 * [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)))) 1537439725.602 * [misc]backup-simplify: Simplify 0 into 0 1537439725.602 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 0) (+ (* 0 0) (* 0 n))) into 0 1537439725.603 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1537439725.604 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 1537439725.606 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) PI)) (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 2) (pow n 2)) (pow PI 2))))))) (* 2 0)) into (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 3) (pow n 3)) (pow PI 3))) 1537439725.607 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537439725.607 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1537439725.610 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 3) (pow n 3)) (pow PI 3)))) (+ (* 0 (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 2) (pow n 2)) (pow PI 2)))) (+ (* 0 (* +nan.0 (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) PI))) (* 0 0)))) into (- (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 3) (pow n 3)) (* (sqrt 2) (pow PI 3))))) 1537439725.610 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 3) (pow n 3)) (* (sqrt 2) (pow PI 3))))) in n 1537439725.610 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 3) (pow n 3)) (* (sqrt 2) (pow PI 3)))) in n 1537439725.610 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537439725.610 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537439725.610 * [misc]taylor: Taking taylor expansion of (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 3) (pow n 3)) (* (sqrt 2) (pow PI 3))) in n 1537439725.610 * [misc]taylor: Taking taylor expansion of (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 3) (pow n 3)) in n 1537439725.610 * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 3) in n 1537439725.610 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) in n 1537439725.610 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (log (* 2 (/ PI n))) k)) in n 1537439725.610 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537439725.610 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439725.610 * [misc]taylor: Taking taylor expansion of (/ (log (* 2 (/ PI n))) k) in n 1537439725.610 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1537439725.610 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537439725.610 * [misc]taylor: Taking taylor expansion of 2 in n 1537439725.610 * [misc]backup-simplify: Simplify 2 into 2 1537439725.610 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537439725.610 * [misc]taylor: Taking taylor expansion of PI in n 1537439725.610 * [misc]backup-simplify: Simplify PI into PI 1537439725.610 * [misc]taylor: Taking taylor expansion of n in n 1537439725.610 * [misc]backup-simplify: Simplify 0 into 0 1537439725.610 * [misc]backup-simplify: Simplify 1 into 1 1537439725.611 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537439725.611 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537439725.612 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537439725.612 * [misc]taylor: Taking taylor expansion of k in n 1537439725.612 * [misc]backup-simplify: Simplify k into k 1537439725.612 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537439725.613 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537439725.613 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) k) into (/ (- (log (* 2 PI)) (log n)) k) 1537439725.613 * [misc]backup-simplify: Simplify (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) into (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1537439725.614 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537439725.614 * [misc]taylor: Taking taylor expansion of (pow n 3) in n 1537439725.614 * [misc]taylor: Taking taylor expansion of n in n 1537439725.614 * [misc]backup-simplify: Simplify 0 into 0 1537439725.614 * [misc]backup-simplify: Simplify 1 into 1 1537439725.614 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow PI 3)) in n 1537439725.614 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537439725.614 * [misc]taylor: Taking taylor expansion of 2 in n 1537439725.614 * [misc]backup-simplify: Simplify 2 into 2 1537439725.614 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537439725.614 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537439725.614 * [misc]taylor: Taking taylor expansion of (pow PI 3) in n 1537439725.614 * [misc]taylor: Taking taylor expansion of PI in n 1537439725.614 * [misc]backup-simplify: Simplify PI into PI 1537439725.615 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 2) 1537439725.616 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 2)) into (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 3) 1537439725.616 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537439725.617 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537439725.617 * [misc]backup-simplify: Simplify (* (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 3) 1) into (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 3) 1537439725.617 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1537439725.618 * [misc]backup-simplify: Simplify (* PI (pow PI 2)) into (pow PI 3) 1537439725.618 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 3)) into (* (sqrt 2) (pow PI 3)) 1537439725.620 * [misc]backup-simplify: Simplify (/ (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 3) (* (sqrt 2) (pow PI 3))) into (/ (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 3) (* (sqrt 2) (pow PI 3))) 1537439725.621 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439725.621 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1537439725.625 * [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 1537439725.625 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log (* 2 PI)) (log n)) k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537439725.626 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ (- (log (* 2 PI)) (log n)) k)))) into 0 1537439725.628 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1537439725.629 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (+ (* 0 1) (* 0 0))) into 0 1537439725.630 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 PI)) into 0 1537439725.633 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt 2) PI)) (+ (* (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)) (/ 0 (* (sqrt 2) PI))))) into 0 1537439725.634 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)))) into 0 1537439725.634 * [misc]backup-simplify: Simplify (- 0) into 0 1537439725.634 * [misc]backup-simplify: Simplify 0 into 0 1537439725.634 * [misc]backup-simplify: Simplify 0 into 0 1537439725.635 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 1537439725.636 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1537439725.637 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 1537439725.642 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 2) (pow n 2)) (pow PI 2))) 2) (+ (* 2 (* (* +nan.0 (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) PI)) (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 3) (pow n 3)) (pow PI 3))))))) (* 2 0)) into (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 4) (pow n 4)) (pow PI 4))) 1537439725.643 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537439725.643 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1537439725.647 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 4) (pow n 4)) (pow PI 4)))) (+ (* 0 (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 3) (pow n 3)) (pow PI 3)))) (+ (* 0 (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 2) (pow n 2)) (pow PI 2)))) (+ (* 0 (* +nan.0 (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) PI))) (* 0 0))))) into (- (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 4) (pow n 4)) (* (sqrt 2) (pow PI 4))))) 1537439725.647 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 4) (pow n 4)) (* (sqrt 2) (pow PI 4))))) in n 1537439725.647 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 4) (pow n 4)) (* (sqrt 2) (pow PI 4)))) in n 1537439725.647 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537439725.647 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537439725.647 * [misc]taylor: Taking taylor expansion of (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 4) (pow n 4)) (* (sqrt 2) (pow PI 4))) in n 1537439725.647 * [misc]taylor: Taking taylor expansion of (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 4) (pow n 4)) in n 1537439725.647 * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 4) in n 1537439725.647 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) in n 1537439725.647 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (log (* 2 (/ PI n))) k)) in n 1537439725.647 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537439725.647 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439725.647 * [misc]taylor: Taking taylor expansion of (/ (log (* 2 (/ PI n))) k) in n 1537439725.647 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1537439725.647 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537439725.647 * [misc]taylor: Taking taylor expansion of 2 in n 1537439725.647 * [misc]backup-simplify: Simplify 2 into 2 1537439725.647 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537439725.647 * [misc]taylor: Taking taylor expansion of PI in n 1537439725.647 * [misc]backup-simplify: Simplify PI into PI 1537439725.647 * [misc]taylor: Taking taylor expansion of n in n 1537439725.647 * [misc]backup-simplify: Simplify 0 into 0 1537439725.647 * [misc]backup-simplify: Simplify 1 into 1 1537439725.648 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537439725.648 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537439725.648 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537439725.648 * [misc]taylor: Taking taylor expansion of k in n 1537439725.648 * [misc]backup-simplify: Simplify k into k 1537439725.649 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537439725.649 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537439725.650 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) k) into (/ (- (log (* 2 PI)) (log n)) k) 1537439725.650 * [misc]backup-simplify: Simplify (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) into (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1537439725.650 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537439725.650 * [misc]taylor: Taking taylor expansion of (pow n 4) in n 1537439725.650 * [misc]taylor: Taking taylor expansion of n in n 1537439725.651 * [misc]backup-simplify: Simplify 0 into 0 1537439725.651 * [misc]backup-simplify: Simplify 1 into 1 1537439725.651 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow PI 4)) in n 1537439725.651 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537439725.651 * [misc]taylor: Taking taylor expansion of 2 in n 1537439725.651 * [misc]backup-simplify: Simplify 2 into 2 1537439725.651 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537439725.651 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537439725.651 * [misc]taylor: Taking taylor expansion of (pow PI 4) in n 1537439725.651 * [misc]taylor: Taking taylor expansion of PI in n 1537439725.651 * [misc]backup-simplify: Simplify PI into PI 1537439725.652 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 2) 1537439725.653 * [misc]backup-simplify: Simplify (* (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 2) (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 2)) into (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 4) 1537439725.653 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537439725.653 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537439725.654 * [misc]backup-simplify: Simplify (* (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 4) 1) into (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 4) 1537439725.654 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1537439725.655 * [misc]backup-simplify: Simplify (* (pow PI 2) (pow PI 2)) into (pow PI 4) 1537439725.655 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 4)) into (* (sqrt 2) (pow PI 4)) 1537439725.657 * [misc]backup-simplify: Simplify (/ (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 4) (* (sqrt 2) (pow PI 4))) into (/ (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 4) (* (sqrt 2) (pow PI 4))) 1537439725.658 * [misc]backup-simplify: Simplify (* +nan.0 (/ (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 2) (* (sqrt 2) (pow PI 2)))) into (* +nan.0 (/ (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 2) (* (sqrt 2) (pow PI 2)))) 1537439725.660 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 2) (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (/ (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 2) (* (sqrt 2) (pow PI 2))))) 1537439725.661 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 2) (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (/ (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 2) (* (sqrt 2) (pow PI 2))))) 1537439725.663 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439725.664 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537439725.670 * [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 1537439725.670 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log (* 2 PI)) (log n)) k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537439725.671 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (- (log (* 2 PI)) (log n)) k))))) into 0 1537439725.673 * [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 1537439725.674 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1537439725.677 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1537439725.677 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 PI))) into 0 1537439725.680 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt 2) PI)) (+ (* (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)) (/ 0 (* (sqrt 2) PI))) (* 0 (/ 0 (* (sqrt 2) PI))))) into 0 1537439725.681 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI))))) into 0 1537439725.681 * [misc]backup-simplify: Simplify (- 0) into 0 1537439725.681 * [misc]backup-simplify: Simplify 0 into 0 1537439725.681 * [misc]backup-simplify: Simplify 0 into 0 1537439725.682 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 n))))) into 0 1537439725.682 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 1537439725.684 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 1537439725.689 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) PI)) (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 4) (pow n 4)) (pow PI 4))))) (* 2 (* (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 2) (pow n 2)) (pow PI 2))) (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 3) (pow n 3)) (pow PI 3))))))) (* 2 0)) into (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 5) (pow n 5)) (pow PI 5))) 1537439725.690 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537439725.690 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1537439725.695 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 5) (pow n 5)) (pow PI 5)))) (+ (* 0 (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 4) (pow n 4)) (pow PI 4)))) (+ (* 0 (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 3) (pow n 3)) (pow PI 3)))) (+ (* 0 (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 2) (pow n 2)) (pow PI 2)))) (+ (* 0 (* +nan.0 (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) PI))) (* 0 0)))))) into (- (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 5) (pow n 5)) (* (sqrt 2) (pow PI 5))))) 1537439725.695 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 5) (pow n 5)) (* (sqrt 2) (pow PI 5))))) in n 1537439725.695 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 5) (pow n 5)) (* (sqrt 2) (pow PI 5)))) in n 1537439725.695 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537439725.695 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537439725.695 * [misc]taylor: Taking taylor expansion of (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 5) (pow n 5)) (* (sqrt 2) (pow PI 5))) in n 1537439725.695 * [misc]taylor: Taking taylor expansion of (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 5) (pow n 5)) in n 1537439725.695 * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 5) in n 1537439725.695 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) in n 1537439725.695 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (log (* 2 (/ PI n))) k)) in n 1537439725.695 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537439725.695 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439725.695 * [misc]taylor: Taking taylor expansion of (/ (log (* 2 (/ PI n))) k) in n 1537439725.696 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1537439725.696 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537439725.696 * [misc]taylor: Taking taylor expansion of 2 in n 1537439725.696 * [misc]backup-simplify: Simplify 2 into 2 1537439725.696 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537439725.696 * [misc]taylor: Taking taylor expansion of PI in n 1537439725.696 * [misc]backup-simplify: Simplify PI into PI 1537439725.696 * [misc]taylor: Taking taylor expansion of n in n 1537439725.696 * [misc]backup-simplify: Simplify 0 into 0 1537439725.696 * [misc]backup-simplify: Simplify 1 into 1 1537439725.696 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537439725.696 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537439725.696 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537439725.696 * [misc]taylor: Taking taylor expansion of k in n 1537439725.696 * [misc]backup-simplify: Simplify k into k 1537439725.697 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537439725.697 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537439725.698 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) k) into (/ (- (log (* 2 PI)) (log n)) k) 1537439725.698 * [misc]backup-simplify: Simplify (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) into (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1537439725.699 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537439725.699 * [misc]taylor: Taking taylor expansion of (pow n 5) in n 1537439725.699 * [misc]taylor: Taking taylor expansion of n in n 1537439725.699 * [misc]backup-simplify: Simplify 0 into 0 1537439725.699 * [misc]backup-simplify: Simplify 1 into 1 1537439725.699 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow PI 5)) in n 1537439725.699 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537439725.699 * [misc]taylor: Taking taylor expansion of 2 in n 1537439725.699 * [misc]backup-simplify: Simplify 2 into 2 1537439725.699 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537439725.699 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537439725.699 * [misc]taylor: Taking taylor expansion of (pow PI 5) in n 1537439725.699 * [misc]taylor: Taking taylor expansion of PI in n 1537439725.699 * [misc]backup-simplify: Simplify PI into PI 1537439725.700 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 2) 1537439725.702 * [misc]backup-simplify: Simplify (* (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 2) (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 2)) into (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 4) 1537439725.703 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 4)) into (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 5) 1537439725.703 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537439725.703 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537439725.703 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537439725.704 * [misc]backup-simplify: Simplify (* (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 5) 1) into (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 5) 1537439725.704 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1537439725.704 * [misc]backup-simplify: Simplify (* (pow PI 2) (pow PI 2)) into (pow PI 4) 1537439725.705 * [misc]backup-simplify: Simplify (* PI (pow PI 4)) into (pow PI 5) 1537439725.705 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 5)) into (* (sqrt 2) (pow PI 5)) 1537439725.707 * [misc]backup-simplify: Simplify (/ (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 5) (* (sqrt 2) (pow PI 5))) into (/ (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 5) (* (sqrt 2) (pow PI 5))) 1537439725.707 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1537439725.708 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537439725.708 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537439725.710 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537439725.710 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log (* 2 PI)) (log n)) k) (/ 0 k)))) into 0 1537439725.711 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ (- (log (* 2 PI)) (log n)) k))) into 0 1537439725.712 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1537439725.713 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (* 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) into 0 1537439725.714 * [misc]backup-simplify: Simplify (+ (* (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 2) 0) (* 0 1)) into 0 1537439725.714 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 1537439725.715 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 2))) into 0 1537439725.718 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt 2) (pow PI 2))) (+ (* (/ (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 2) (* (sqrt 2) (pow PI 2))) (/ 0 (* (sqrt 2) (pow PI 2)))))) into 0 1537439725.720 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 2) (* (sqrt 2) (pow PI 2))))) into 0 1537439725.720 * [misc]backup-simplify: Simplify (- 0) into 0 1537439725.720 * [misc]backup-simplify: Simplify 0 into 0 1537439725.721 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439725.722 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537439725.732 * [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 1537439725.732 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log (* 2 PI)) (log n)) k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537439725.733 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (- (log (* 2 PI)) (log n)) k)))))) into 0 1537439725.738 * [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 1537439725.739 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1537439725.739 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537439725.741 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537439725.745 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt 2) PI)) (+ (* (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)) (/ 0 (* (sqrt 2) PI))) (* 0 (/ 0 (* (sqrt 2) PI))) (* 0 (/ 0 (* (sqrt 2) PI))))) into 0 1537439725.747 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)))))) into 0 1537439725.747 * [misc]backup-simplify: Simplify (- 0) into 0 1537439725.747 * [misc]backup-simplify: Simplify 0 into 0 1537439725.747 * [misc]backup-simplify: Simplify 0 into 0 1537439725.748 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))))) into 0 1537439725.750 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 1537439725.753 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 1537439725.764 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 3) (pow n 3)) (pow PI 3))) 2) (+ (* 2 (* (* +nan.0 (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) PI)) (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 5) (pow n 5)) (pow PI 5))))) (* 2 (* (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 2) (pow n 2)) (pow PI 2))) (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 4) (pow n 4)) (pow PI 4))))))) (* 2 0)) into (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 6) (pow n 6)) (pow PI 6))) 1537439725.765 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537439725.766 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1537439725.777 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 6) (pow n 6)) (pow PI 6)))) (+ (* 0 (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 5) (pow n 5)) (pow PI 5)))) (+ (* 0 (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 4) (pow n 4)) (pow PI 4)))) (+ (* 0 (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 3) (pow n 3)) (pow PI 3)))) (+ (* 0 (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 2) (pow n 2)) (pow PI 2)))) (+ (* 0 (* +nan.0 (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) PI))) (* 0 0))))))) into (- (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 6) (pow n 6)) (* (sqrt 2) (pow PI 6))))) 1537439725.777 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 6) (pow n 6)) (* (sqrt 2) (pow PI 6))))) in n 1537439725.777 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 6) (pow n 6)) (* (sqrt 2) (pow PI 6)))) in n 1537439725.777 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537439725.777 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537439725.777 * [misc]taylor: Taking taylor expansion of (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 6) (pow n 6)) (* (sqrt 2) (pow PI 6))) in n 1537439725.777 * [misc]taylor: Taking taylor expansion of (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 6) (pow n 6)) in n 1537439725.777 * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 6) in n 1537439725.777 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) in n 1537439725.777 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (log (* 2 (/ PI n))) k)) in n 1537439725.777 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537439725.777 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537439725.777 * [misc]taylor: Taking taylor expansion of (/ (log (* 2 (/ PI n))) k) in n 1537439725.777 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1537439725.777 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537439725.777 * [misc]taylor: Taking taylor expansion of 2 in n 1537439725.777 * [misc]backup-simplify: Simplify 2 into 2 1537439725.777 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537439725.777 * [misc]taylor: Taking taylor expansion of PI in n 1537439725.777 * [misc]backup-simplify: Simplify PI into PI 1537439725.777 * [misc]taylor: Taking taylor expansion of n in n 1537439725.778 * [misc]backup-simplify: Simplify 0 into 0 1537439725.778 * [misc]backup-simplify: Simplify 1 into 1 1537439725.778 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537439725.778 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537439725.779 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537439725.779 * [misc]taylor: Taking taylor expansion of k in n 1537439725.779 * [misc]backup-simplify: Simplify k into k 1537439725.779 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537439725.780 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537439725.781 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) k) into (/ (- (log (* 2 PI)) (log n)) k) 1537439725.781 * [misc]backup-simplify: Simplify (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) into (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1537439725.782 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537439725.782 * [misc]taylor: Taking taylor expansion of (pow n 6) in n 1537439725.782 * [misc]taylor: Taking taylor expansion of n in n 1537439725.782 * [misc]backup-simplify: Simplify 0 into 0 1537439725.782 * [misc]backup-simplify: Simplify 1 into 1 1537439725.782 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow PI 6)) in n 1537439725.782 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537439725.782 * [misc]taylor: Taking taylor expansion of 2 in n 1537439725.782 * [misc]backup-simplify: Simplify 2 into 2 1537439725.783 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537439725.783 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537439725.783 * [misc]taylor: Taking taylor expansion of (pow PI 6) in n 1537439725.783 * [misc]taylor: Taking taylor expansion of PI in n 1537439725.783 * [misc]backup-simplify: Simplify PI into PI 1537439725.785 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 2) 1537439725.786 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 2)) into (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 3) 1537439725.788 * [misc]backup-simplify: Simplify (* (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 3) (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 3)) into (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 6) 1537439725.789 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537439725.789 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537439725.789 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537439725.790 * [misc]backup-simplify: Simplify (* (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 6) 1) into (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 6) 1537439725.790 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1537439725.791 * [misc]backup-simplify: Simplify (* PI (pow PI 2)) into (pow PI 3) 1537439725.792 * [misc]backup-simplify: Simplify (* (pow PI 3) (pow PI 3)) into (pow PI 6) 1537439725.793 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 6)) into (* (sqrt 2) (pow PI 6)) 1537439725.795 * [misc]backup-simplify: Simplify (/ (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 6) (* (sqrt 2) (pow PI 6))) into (/ (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 6) (* (sqrt 2) (pow PI 6))) 1537439725.797 * [misc]backup-simplify: Simplify (* +nan.0 (/ (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 3) (* (sqrt 2) (pow PI 3)))) into (* +nan.0 (/ (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 3) (* (sqrt 2) (pow PI 3)))) 1537439725.800 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 3) (* (sqrt 2) (pow PI 3))))) into (- (* +nan.0 (/ (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 3) (* (sqrt 2) (pow PI 3))))) 1537439725.803 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 3) (* (sqrt 2) (pow PI 3))))) into (- (* +nan.0 (/ (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 3) (* (sqrt 2) (pow PI 3))))) 1537439725.813 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k)))) 3) (* (sqrt 2) (pow PI 3))))) (* (pow (/ 1 n) 3) (pow (/ 1 k) 2))) (+ (* (- (* +nan.0 (/ (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k)))) 2) (* (sqrt 2) (pow PI 2))))) (* (pow (/ 1 n) 2) (/ 1 k))) (* (- (* +nan.0 (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k)))) (* (sqrt 2) PI)))) (* (/ 1 n) 1)))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ (pow (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) 3) (* (sqrt 2) (* (pow n 3) (* (pow PI 3) (pow k 2)))))) (- (* +nan.0 (/ (pow (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) 2) (* (sqrt 2) (* (pow n 2) (* (pow PI 2) k)))))))))) 1537439725.814 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 (- k))) (/ (pow (* PI (* (/ 1 (- n)) 2)) 1/2) (sqrt (pow (* PI (* (/ 1 (- n)) 2)) (/ (/ 1 (- k)) 2))))) into (/ (sqrt (/ -1 k)) (sqrt (/ (* PI -2) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) n)))) 1537439725.814 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (sqrt (/ (* PI -2) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) n)))) in (k n) around 0 1537439725.814 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (sqrt (/ (* PI -2) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) n)))) in n 1537439725.814 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1537439725.814 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1537439725.814 * [misc]taylor: Taking taylor expansion of -1 in n 1537439725.814 * [misc]backup-simplify: Simplify -1 into -1 1537439725.814 * [misc]taylor: Taking taylor expansion of k in n 1537439725.814 * [misc]backup-simplify: Simplify k into k 1537439725.814 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1537439725.814 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1537439725.815 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1537439725.815 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1537439725.815 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* PI -2) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) n))) in n 1537439725.815 * [misc]taylor: Taking taylor expansion of (/ (* PI -2) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) n)) in n 1537439725.815 * [misc]taylor: Taking taylor expansion of (* PI -2) in n 1537439725.815 * [misc]taylor: Taking taylor expansion of PI in n 1537439725.815 * [misc]backup-simplify: Simplify PI into PI 1537439725.815 * [misc]taylor: Taking taylor expansion of -2 in n 1537439725.815 * [misc]backup-simplify: Simplify -2 into -2 1537439725.815 * [misc]taylor: Taking taylor expansion of (* (pow (* -2 (/ PI n)) (/ -1/2 k)) n) in n 1537439725.815 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in n 1537439725.815 * [misc]taylor: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in n 1537439725.815 * [misc]taylor: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in n 1537439725.815 * [misc]taylor: Taking taylor expansion of (/ -1/2 k) in n 1537439725.815 * [misc]taylor: Taking taylor expansion of -1/2 in n 1537439725.815 * [misc]backup-simplify: Simplify -1/2 into -1/2 1537439725.815 * [misc]taylor: Taking taylor expansion of k in n 1537439725.815 * [misc]backup-simplify: Simplify k into k 1537439725.815 * [misc]backup-simplify: Simplify (/ -1/2 k) into (/ -1/2 k) 1537439725.815 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1537439725.815 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537439725.815 * [misc]taylor: Taking taylor expansion of -2 in n 1537439725.815 * [misc]backup-simplify: Simplify -2 into -2 1537439725.815 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537439725.815 * [misc]taylor: Taking taylor expansion of PI in n 1537439725.815 * [misc]backup-simplify: Simplify PI into PI 1537439725.815 * [misc]taylor: Taking taylor expansion of n in n 1537439725.816 * [misc]backup-simplify: Simplify 0 into 0 1537439725.816 * [misc]backup-simplify: Simplify 1 into 1 1537439725.816 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537439725.816 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537439725.817 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537439725.817 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537439725.818 * [misc]backup-simplify: Simplify (* (/ -1/2 k) (- (log (* -2 PI)) (log n))) into (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) 1537439725.819 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1537439725.819 * [misc]taylor: Taking taylor expansion of n in n 1537439725.819 * [misc]backup-simplify: Simplify 0 into 0 1537439725.819 * [misc]backup-simplify: Simplify 1 into 1 1537439725.819 * [misc]backup-simplify: Simplify (* PI -2) into (* -2 PI) 1537439725.820 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 0) into 0 1537439725.821 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537439725.822 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537439725.825 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1537439725.826 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1/2 k) (/ 0 k)))) into 0 1537439725.827 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537439725.827 * [misc]backup-simplify: Simplify (+ (* (/ -1/2 k) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1537439725.829 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1537439725.830 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1) (* 0 0)) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1537439725.831 * [misc]backup-simplify: Simplify (/ (* -2 PI) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) into (* -2 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1537439725.831 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537439725.832 * [misc]backup-simplify: Simplify (/ (* -2 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (* 2 (sqrt 0))) into (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1537439725.833 * [misc]backup-simplify: Simplify (/ (sqrt (/ -1 k)) (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (* +nan.0 (/ (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))) PI)) 1537439725.833 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (sqrt (/ (* PI -2) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) n)))) in k 1537439725.833 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1537439725.833 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1537439725.833 * [misc]taylor: Taking taylor expansion of -1 in k 1537439725.833 * [misc]backup-simplify: Simplify -1 into -1 1537439725.833 * [misc]taylor: Taking taylor expansion of k in k 1537439725.833 * [misc]backup-simplify: Simplify 0 into 0 1537439725.833 * [misc]backup-simplify: Simplify 1 into 1 1537439725.833 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1537439725.834 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537439725.834 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1537439725.834 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* PI -2) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) n))) in k 1537439725.834 * [misc]taylor: Taking taylor expansion of (/ (* PI -2) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) n)) in k 1537439725.834 * [misc]taylor: Taking taylor expansion of (* PI -2) in k 1537439725.834 * [misc]taylor: Taking taylor expansion of PI in k 1537439725.834 * [misc]backup-simplify: Simplify PI into PI 1537439725.834 * [misc]taylor: Taking taylor expansion of -2 in k 1537439725.834 * [misc]backup-simplify: Simplify -2 into -2 1537439725.834 * [misc]taylor: Taking taylor expansion of (* (pow (* -2 (/ PI n)) (/ -1/2 k)) n) in k 1537439725.835 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in k 1537439725.835 * [misc]taylor: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in k 1537439725.835 * [misc]taylor: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in k 1537439725.835 * [misc]taylor: Taking taylor expansion of (/ -1/2 k) in k 1537439725.835 * [misc]taylor: Taking taylor expansion of -1/2 in k 1537439725.835 * [misc]backup-simplify: Simplify -1/2 into -1/2 1537439725.835 * [misc]taylor: Taking taylor expansion of k in k 1537439725.835 * [misc]backup-simplify: Simplify 0 into 0 1537439725.835 * [misc]backup-simplify: Simplify 1 into 1 1537439725.835 * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 1537439725.835 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1537439725.835 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1537439725.835 * [misc]taylor: Taking taylor expansion of -2 in k 1537439725.835 * [misc]backup-simplify: Simplify -2 into -2 1537439725.835 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1537439725.835 * [misc]taylor: Taking taylor expansion of PI in k 1537439725.835 * [misc]backup-simplify: Simplify PI into PI 1537439725.835 * [misc]taylor: Taking taylor expansion of n in k 1537439725.835 * [misc]backup-simplify: Simplify n into n 1537439725.835 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537439725.836 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1537439725.836 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1537439725.836 * [misc]backup-simplify: Simplify (* -1/2 (log (* -2 (/ PI n)))) into (* -1/2 (log (* -2 (/ PI n)))) 1537439725.836 * [misc]backup-simplify: Simplify (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) into (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) 1537439725.836 * [misc]taylor: Taking taylor expansion of n in k 1537439725.836 * [misc]backup-simplify: Simplify n into n 1537439725.837 * [misc]backup-simplify: Simplify (* PI -2) into (* -2 PI) 1537439725.837 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) n) into (* n (exp (* -1/2 (/ (log (* -2 (/ PI n))) k)))) 1537439725.838 * [misc]backup-simplify: Simplify (/ (* -2 PI) (* n (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))))) into (* -2 (/ PI (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) n))) 1537439725.838 * [misc]backup-simplify: Simplify (sqrt (* -2 (/ PI (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) n)))) into (sqrt (* -2 (/ PI (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) n)))) 1537439725.839 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 -2)) into 0 1537439725.839 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) 0) (* 0 n)) into 0 1537439725.841 * [misc]backup-simplify: Simplify (- (/ 0 (* n (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))))) (+ (* (* -2 (/ PI (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) n))) (/ 0 (* n (exp (* -1/2 (/ (log (* -2 (/ PI n))) k)))))))) into 0 1537439725.841 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* -2 (/ PI (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) n)))))) into 0 1537439725.842 * [misc]backup-simplify: Simplify (/ +nan.0 (sqrt (* -2 (/ PI (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) n))))) into (/ +nan.0 (sqrt (* -2 (/ PI (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) n))))) 1537439725.842 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (sqrt (/ (* PI -2) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) n)))) in k 1537439725.842 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1537439725.842 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1537439725.842 * [misc]taylor: Taking taylor expansion of -1 in k 1537439725.842 * [misc]backup-simplify: Simplify -1 into -1 1537439725.842 * [misc]taylor: Taking taylor expansion of k in k 1537439725.842 * [misc]backup-simplify: Simplify 0 into 0 1537439725.842 * [misc]backup-simplify: Simplify 1 into 1 1537439725.842 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1537439725.843 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537439725.843 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1537439725.843 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* PI -2) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) n))) in k 1537439725.843 * [misc]taylor: Taking taylor expansion of (/ (* PI -2) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) n)) in k 1537439725.843 * [misc]taylor: Taking taylor expansion of (* PI -2) in k 1537439725.843 * [misc]taylor: Taking taylor expansion of PI in k 1537439725.843 * [misc]backup-simplify: Simplify PI into PI 1537439725.843 * [misc]taylor: Taking taylor expansion of -2 in k 1537439725.843 * [misc]backup-simplify: Simplify -2 into -2 1537439725.843 * [misc]taylor: Taking taylor expansion of (* (pow (* -2 (/ PI n)) (/ -1/2 k)) n) in k 1537439725.843 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in k 1537439725.843 * [misc]taylor: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in k 1537439725.843 * [misc]taylor: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in k 1537439725.843 * [misc]taylor: Taking taylor expansion of (/ -1/2 k) in k 1537439725.843 * [misc]taylor: Taking taylor expansion of -1/2 in k 1537439725.844 * [misc]backup-simplify: Simplify -1/2 into -1/2 1537439725.844 * [misc]taylor: Taking taylor expansion of k in k 1537439725.844 * [misc]backup-simplify: Simplify 0 into 0 1537439725.844 * [misc]backup-simplify: Simplify 1 into 1 1537439725.844 * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 1537439725.844 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1537439725.844 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1537439725.844 * [misc]taylor: Taking taylor expansion of -2 in k 1537439725.844 * [misc]backup-simplify: Simplify -2 into -2 1537439725.844 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1537439725.844 * [misc]taylor: Taking taylor expansion of PI in k 1537439725.844 * [misc]backup-simplify: Simplify PI into PI 1537439725.844 * [misc]taylor: Taking taylor expansion of n in k 1537439725.844 * [misc]backup-simplify: Simplify n into n 1537439725.844 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537439725.844 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1537439725.844 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1537439725.845 * [misc]backup-simplify: Simplify (* -1/2 (log (* -2 (/ PI n)))) into (* -1/2 (log (* -2 (/ PI n)))) 1537439725.845 * [misc]backup-simplify: Simplify (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) into (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) 1537439725.845 * [misc]taylor: Taking taylor expansion of n in k 1537439725.845 * [misc]backup-simplify: Simplify n into n 1537439725.845 * [misc]backup-simplify: Simplify (* PI -2) into (* -2 PI) 1537439725.846 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) n) into (* n (exp (* -1/2 (/ (log (* -2 (/ PI n))) k)))) 1537439725.846 * [misc]backup-simplify: Simplify (/ (* -2 PI) (* n (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))))) into (* -2 (/ PI (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) n))) 1537439725.847 * [misc]backup-simplify: Simplify (sqrt (* -2 (/ PI (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) n)))) into (sqrt (* -2 (/ PI (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) n)))) 1537439725.847 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 -2)) into 0 1537439725.848 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) 0) (* 0 n)) into 0 1537439725.849 * [misc]backup-simplify: Simplify (- (/ 0 (* n (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))))) (+ (* (* -2 (/ PI (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) n))) (/ 0 (* n (exp (* -1/2 (/ (log (* -2 (/ PI n))) k)))))))) into 0 1537439725.850 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* -2 (/ PI (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) n)))))) into 0 1537439725.850 * [misc]backup-simplify: Simplify (/ +nan.0 (sqrt (* -2 (/ PI (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) n))))) into (/ +nan.0 (sqrt (* -2 (/ PI (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) n))))) 1537439725.850 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (sqrt (* -2 (/ PI (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) n))))) in n 1537439725.850 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537439725.850 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537439725.850 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) n)))) in n 1537439725.850 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) n))) in n 1537439725.850 * [misc]taylor: Taking taylor expansion of -2 in n 1537439725.850 * [misc]backup-simplify: Simplify -2 into -2 1537439725.851 * [misc]taylor: Taking taylor expansion of (/ PI (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) n)) in n 1537439725.851 * [misc]taylor: Taking taylor expansion of PI in n 1537439725.851 * [misc]backup-simplify: Simplify PI into PI 1537439725.851 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) n) in n 1537439725.851 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) in n 1537439725.851 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (log (* -2 (/ PI n))) k)) in n 1537439725.851 * [misc]taylor: Taking taylor expansion of -1/2 in n 1537439725.851 * [misc]backup-simplify: Simplify -1/2 into -1/2 1537439725.851 * [misc]taylor: Taking taylor expansion of (/ (log (* -2 (/ PI n))) k) in n 1537439725.851 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1537439725.851 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537439725.851 * [misc]taylor: Taking taylor expansion of -2 in n 1537439725.851 * [misc]backup-simplify: Simplify -2 into -2 1537439725.851 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537439725.851 * [misc]taylor: Taking taylor expansion of PI in n 1537439725.851 * [misc]backup-simplify: Simplify PI into PI 1537439725.851 * [misc]taylor: Taking taylor expansion of n in n 1537439725.851 * [misc]backup-simplify: Simplify 0 into 0 1537439725.851 * [misc]backup-simplify: Simplify 1 into 1 1537439725.852 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537439725.852 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537439725.852 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537439725.852 * [misc]taylor: Taking taylor expansion of k in n 1537439725.852 * [misc]backup-simplify: Simplify k into k 1537439725.853 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537439725.854 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537439725.855 * [misc]backup-simplify: Simplify (/ (- (log (* -2 PI)) (log n)) k) into (/ (- (log (* -2 PI)) (log n)) k) 1537439725.855 * [misc]backup-simplify: Simplify (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) into (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) 1537439725.856 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1537439725.856 * [misc]taylor: Taking taylor expansion of n in n 1537439725.856 * [misc]backup-simplify: Simplify 0 into 0 1537439725.856 * [misc]backup-simplify: Simplify 1 into 1 1537439725.857 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 0) into 0 1537439725.858 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537439725.859 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537439725.862 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1537439725.863 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log (* -2 PI)) (log n)) k) (/ 0 k)))) into 0 1537439725.864 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ (- (log (* -2 PI)) (log n)) k))) into 0 1537439725.865 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1537439725.866 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1) (* 0 0)) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1537439725.867 * [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)))) 1537439725.868 * [misc]backup-simplify: Simplify (* -2 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into (* -2 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1537439725.868 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537439725.869 * [misc]backup-simplify: Simplify (/ (* -2 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (* 2 (sqrt 0))) into (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1537439725.870 * [misc]backup-simplify: Simplify (/ +nan.0 (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (* +nan.0 (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) PI)) 1537439725.871 * [misc]backup-simplify: Simplify (* +nan.0 (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) PI)) into (* +nan.0 (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) PI)) 1537439725.871 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1537439725.872 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1537439725.874 * [misc]backup-simplify: Simplify (- (/ +nan.0 (sqrt (* -2 (/ PI (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) n))))) (+ (* (/ +nan.0 (sqrt (* -2 (/ PI (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) n))))) (/ 0 (sqrt (* -2 (/ PI (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) n)))))))) into (- (* +nan.0 (/ 1 (sqrt (* -2 (/ PI (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) n))))))) 1537439725.874 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (sqrt (* -2 (/ PI (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) n))))))) in n 1537439725.874 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (sqrt (* -2 (/ PI (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) n)))))) in n 1537439725.874 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537439725.874 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537439725.874 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (* -2 (/ PI (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) n))))) in n 1537439725.874 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) n)))) in n 1537439725.874 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) n))) in n 1537439725.874 * [misc]taylor: Taking taylor expansion of -2 in n 1537439725.874 * [misc]backup-simplify: Simplify -2 into -2 1537439725.874 * [misc]taylor: Taking taylor expansion of (/ PI (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) n)) in n 1537439725.874 * [misc]taylor: Taking taylor expansion of PI in n 1537439725.875 * [misc]backup-simplify: Simplify PI into PI 1537439725.875 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) n) in n 1537439725.875 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) in n 1537439725.875 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (log (* -2 (/ PI n))) k)) in n 1537439725.875 * [misc]taylor: Taking taylor expansion of -1/2 in n 1537439725.875 * [misc]backup-simplify: Simplify -1/2 into -1/2 1537439725.875 * [misc]taylor: Taking taylor expansion of (/ (log (* -2 (/ PI n))) k) in n 1537439725.875 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1537439725.875 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537439725.875 * [misc]taylor: Taking taylor expansion of -2 in n 1537439725.875 * [misc]backup-simplify: Simplify -2 into -2 1537439725.875 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537439725.875 * [misc]taylor: Taking taylor expansion of PI in n 1537439725.875 * [misc]backup-simplify: Simplify PI into PI 1537439725.875 * [misc]taylor: Taking taylor expansion of n in n 1537439725.875 * [misc]backup-simplify: Simplify 0 into 0 1537439725.875 * [misc]backup-simplify: Simplify 1 into 1 1537439725.875 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537439725.876 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537439725.876 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537439725.876 * [misc]taylor: Taking taylor expansion of k in n 1537439725.876 * [misc]backup-simplify: Simplify k into k 1537439725.877 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537439725.878 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537439725.879 * [misc]backup-simplify: Simplify (/ (- (log (* -2 PI)) (log n)) k) into (/ (- (log (* -2 PI)) (log n)) k) 1537439725.880 * [misc]backup-simplify: Simplify (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) into (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) 1537439725.880 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1537439725.880 * [misc]taylor: Taking taylor expansion of n in n 1537439725.881 * [misc]backup-simplify: Simplify 0 into 0 1537439725.881 * [misc]backup-simplify: Simplify 1 into 1 1537439725.881 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 0) into 0 1537439725.882 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537439725.883 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537439725.887 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1537439725.887 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log (* -2 PI)) (log n)) k) (/ 0 k)))) into 0 1537439725.888 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ (- (log (* -2 PI)) (log n)) k))) into 0 1537439725.890 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1537439725.891 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1) (* 0 0)) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1537439725.892 * [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)))) 1537439725.892 * [misc]backup-simplify: Simplify (* -2 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into (* -2 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1537439725.893 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537439725.894 * [misc]backup-simplify: Simplify (/ (* -2 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (* 2 (sqrt 0))) into (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1537439725.896 * [misc]backup-simplify: Simplify (/ 1 (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (* +nan.0 (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) PI)) 1537439725.897 * [misc]backup-simplify: Simplify (* +nan.0 (* +nan.0 (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) PI))) into (* +nan.0 (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) PI)) 1537439725.898 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) PI))) into (- (* +nan.0 (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) PI))) 1537439725.899 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) PI))) into (- (* +nan.0 (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) PI))) 1537439725.901 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537439725.902 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1537439725.908 * [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 1537439725.909 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log (* -2 PI)) (log n)) k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537439725.910 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ (- (log (* -2 PI)) (log n)) k)))) into 0 1537439725.912 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1537439725.913 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 0) (+ (* 0 1) (* 0 0))) into 0 1537439725.915 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (+ (* (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (/ 0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))) into 0 1537439725.916 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into 0 1537439725.917 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow PI 2) (pow (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 2))) 1537439725.922 * [misc]backup-simplify: Simplify (- (/ 0 (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) (+ (* (* +nan.0 (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) PI)) (/ (* +nan.0 (/ (pow PI 2) (pow (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 2))) (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))))) into (- +nan.0) 1537439725.922 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) 1537439725.924 * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (* (/ 1 (- n)) 1)) (+ (* (- (* +nan.0 (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k))))) PI))) (* 1 (/ 1 (- k)))) (* +nan.0 (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k))))) PI)))) 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 (/ 1 n))))))) 1537439725.924 * * * [misc]progress: simplifying candidates 1537439725.924 * * * * [misc]progress: [ 1 / 196 ] simplifiying candidate # 1537439725.924 * * * * [misc]progress: [ 2 / 196 ] simplifiying candidate # 1537439725.924 * * * * [misc]progress: [ 3 / 196 ] simplifiying candidate # 1537439725.924 * * * * [misc]progress: [ 4 / 196 ] simplifiying candidate # 1537439725.924 * * * * [misc]progress: [ 5 / 196 ] simplifiying candidate # 1537439725.924 * * * * [misc]progress: [ 6 / 196 ] simplifiying candidate # 1537439725.924 * * * * [misc]progress: [ 7 / 196 ] simplifiying candidate # 1537439725.924 * * * * [misc]progress: [ 8 / 196 ] simplifiying candidate # 1537439725.924 * * * * [misc]progress: [ 9 / 196 ] simplifiying candidate # 1537439725.924 * * * * [misc]progress: [ 10 / 196 ] simplifiying candidate # 1537439725.924 * * * * [misc]progress: [ 11 / 196 ] simplifiying candidate # 1537439725.924 * * * * [misc]progress: [ 12 / 196 ] simplifiying candidate # 1537439725.924 * * * * [misc]progress: [ 13 / 196 ] simplifiying candidate # 1537439725.924 * * * * [misc]progress: [ 14 / 196 ] simplifiying candidate # 1537439725.924 * * * * [misc]progress: [ 15 / 196 ] simplifiying candidate # 1537439725.924 * * * * [misc]progress: [ 16 / 196 ] simplifiying candidate # 1537439725.924 * * * * [misc]progress: [ 17 / 196 ] simplifiying candidate # 1537439725.924 * * * * [misc]progress: [ 18 / 196 ] simplifiying candidate # 1537439725.924 * * * * [misc]progress: [ 19 / 196 ] simplifiying candidate # 1537439725.925 * * * * [misc]progress: [ 20 / 196 ] simplifiying candidate # 1537439725.925 * * * * [misc]progress: [ 21 / 196 ] simplifiying candidate # 1537439725.925 * * * * [misc]progress: [ 22 / 196 ] simplifiying candidate # 1537439725.925 * * * * [misc]progress: [ 23 / 196 ] simplifiying candidate # 1537439725.925 * * * * [misc]progress: [ 24 / 196 ] simplifiying candidate # 1537439725.925 * * * * [misc]progress: [ 25 / 196 ] simplifiying candidate # 1537439725.925 * * * * [misc]progress: [ 26 / 196 ] simplifiying candidate # 1537439725.925 * * * * [misc]progress: [ 27 / 196 ] simplifiying candidate # 1537439725.925 * * * * [misc]progress: [ 28 / 196 ] simplifiying candidate # 1537439725.925 * * * * [misc]progress: [ 29 / 196 ] simplifiying candidate # 1537439725.925 * * * * [misc]progress: [ 30 / 196 ] simplifiying candidate # 1537439725.925 * * * * [misc]progress: [ 31 / 196 ] simplifiying candidate # 1537439725.925 * * * * [misc]progress: [ 32 / 196 ] simplifiying candidate # 1537439725.925 * * * * [misc]progress: [ 33 / 196 ] simplifiying candidate # 1537439725.925 * * * * [misc]progress: [ 34 / 196 ] simplifiying candidate # 1537439725.925 * * * * [misc]progress: [ 35 / 196 ] simplifiying candidate # 1537439725.925 * * * * [misc]progress: [ 36 / 196 ] simplifiying candidate # 1537439725.925 * * * * [misc]progress: [ 37 / 196 ] simplifiying candidate # 1537439725.925 * [enter]simplify: Simplifying (- (log (sqrt k)) (- (* (log (* PI (* n 2))) 1/2) (log (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439725.926 * * [misc]simplify: iters left: 6 (17 enodes) 1537439725.931 * * [misc]simplify: iters left: 5 (32 enodes) 1537439725.939 * * [misc]simplify: iters left: 4 (58 enodes) 1537439725.955 * * [misc]simplify: iters left: 3 (129 enodes) 1537439725.998 * * [misc]simplify: iters left: 2 (299 enodes) 1537439726.210 * [exit]simplify: Simplified to (+ (log (sqrt (pow (* n (* PI 2)) (/ k 2)))) (fma -1/2 (log (* n (* PI 2))) (log (sqrt k)))) 1537439726.210 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (exp (+ (log (sqrt (pow (* n (* PI 2)) (/ k 2)))) (fma -1/2 (log (* n (* PI 2))) (log (sqrt k))))))) 1537439726.210 * * * * [misc]progress: [ 38 / 196 ] simplifiying candidate # 1537439726.211 * [enter]simplify: Simplifying (- (log (sqrt k)) (- (* (log (* PI (* n 2))) 1/2) (log (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439726.212 * * [misc]simplify: iters left: 6 (17 enodes) 1537439726.220 * * [misc]simplify: iters left: 5 (32 enodes) 1537439726.234 * * [misc]simplify: iters left: 4 (58 enodes) 1537439726.266 * * [misc]simplify: iters left: 3 (129 enodes) 1537439726.343 * * [misc]simplify: iters left: 2 (299 enodes) 1537439726.598 * [exit]simplify: Simplified to (+ (log (sqrt (pow (* n (* PI 2)) (/ k 2)))) (fma -1/2 (log (* n (* PI 2))) (log (sqrt k)))) 1537439726.598 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (exp (+ (log (sqrt (pow (* n (* PI 2)) (/ k 2)))) (fma -1/2 (log (* n (* PI 2))) (log (sqrt k))))))) 1537439726.599 * * * * [misc]progress: [ 39 / 196 ] simplifiying candidate # 1537439726.599 * [enter]simplify: Simplifying (- (log (sqrt k)) (- (log (pow (* PI (* n 2)) 1/2)) (log (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439726.601 * * [misc]simplify: iters left: 6 (17 enodes) 1537439726.609 * * [misc]simplify: iters left: 5 (30 enodes) 1537439726.620 * * [misc]simplify: iters left: 4 (53 enodes) 1537439726.633 * * [misc]simplify: iters left: 3 (95 enodes) 1537439726.663 * * [misc]simplify: iters left: 2 (222 enodes) 1537439726.763 * [exit]simplify: Simplified to (+ (log (sqrt (pow (* (* PI n) 2) (/ k 2)))) (fma (log (* (* PI n) 2)) -1/2 (log (sqrt k)))) 1537439726.763 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (exp (+ (log (sqrt (pow (* (* PI n) 2) (/ k 2)))) (fma (log (* (* PI n) 2)) -1/2 (log (sqrt k))))))) 1537439726.763 * * * * [misc]progress: [ 40 / 196 ] simplifiying candidate # 1537439726.764 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439726.765 * * [misc]simplify: iters left: 6 (16 enodes) 1537439726.768 * * [misc]simplify: iters left: 5 (26 enodes) 1537439726.773 * * [misc]simplify: iters left: 4 (39 enodes) 1537439726.782 * * [misc]simplify: iters left: 3 (63 enodes) 1537439726.808 * * [misc]simplify: iters left: 2 (116 enodes) 1537439726.880 * * [misc]simplify: iters left: 1 (273 enodes) 1537439727.023 * [exit]simplify: Simplified to (+ (fma (log (* 2 (* PI n))) -1/2 (log (sqrt k))) (log (sqrt (pow (* 2 (* PI n)) (/ k 2))))) 1537439727.023 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (exp (+ (fma (log (* 2 (* PI n))) -1/2 (log (sqrt k))) (log (sqrt (pow (* 2 (* PI n)) (/ k 2)))))))) 1537439727.023 * * * * [misc]progress: [ 41 / 196 ] simplifiying candidate # 1537439727.023 * * * * [misc]progress: [ 42 / 196 ] simplifiying candidate # 1537439727.023 * * * * [misc]progress: [ 43 / 196 ] simplifiying candidate # 1537439727.023 * [enter]simplify: Simplifying (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (/ (* (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) 1/2)) (* (* (sqrt (pow (* PI (* n 2)) (/ k 2))) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439727.026 * * [misc]simplify: iters left: 6 (20 enodes) 1537439727.036 * * [misc]simplify: iters left: 5 (39 enodes) 1537439727.053 * * [misc]simplify: iters left: 4 (114 enodes) 1537439727.144 * * [misc]simplify: iters left: 3 (459 enodes) 1537439728.593 * [exit]simplify: Simplified to (* (/ (* (* k (sqrt k)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (* (* n 2) PI))) (/ (sqrt (pow (* (* n 2) PI) (/ k 2))) (* (* n 2) PI))) 1537439728.593 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (* (/ (* (* k (sqrt k)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (* (* n 2) PI))) (/ (sqrt (pow (* (* n 2) PI) (/ k 2))) (* (* n 2) PI)))))) 1537439728.593 * * * * [misc]progress: [ 44 / 196 ] simplifiying candidate # 1537439728.593 * [enter]simplify: Simplifying (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))) (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439728.596 * * [misc]simplify: iters left: 6 (18 enodes) 1537439728.605 * * [misc]simplify: iters left: 5 (38 enodes) 1537439728.627 * * [misc]simplify: iters left: 4 (99 enodes) 1537439728.698 * * [misc]simplify: iters left: 3 (288 enodes) 1537439729.218 * [exit]simplify: Simplified to (* (/ (* k (sqrt k)) (* (* (* n 2) PI) (sqrt (* (* n 2) PI)))) (* (pow (* (* n 2) PI) (/ k 2)) (sqrt (pow (* (* n 2) PI) (/ k 2))))) 1537439729.218 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (* (/ (* k (sqrt k)) (* (* (* n 2) PI) (sqrt (* (* n 2) PI)))) (* (pow (* (* n 2) PI) (/ k 2)) (sqrt (pow (* (* n 2) PI) (/ k 2)))))))) 1537439729.218 * * * * [misc]progress: [ 45 / 196 ] simplifiying candidate # 1537439729.218 * * * * [misc]progress: [ 46 / 196 ] simplifiying candidate # 1537439729.218 * * * * [misc]progress: [ 47 / 196 ] simplifiying candidate # 1537439729.218 * [enter]simplify: Simplifying (/ k (/ (* PI (* n 2)) (pow (* PI (* n 2)) (/ k 2)))) 1537439729.219 * * [misc]simplify: iters left: 6 (10 enodes) 1537439729.222 * * [misc]simplify: iters left: 5 (18 enodes) 1537439729.226 * * [misc]simplify: iters left: 4 (39 enodes) 1537439729.238 * * [misc]simplify: iters left: 3 (90 enodes) 1537439729.270 * * [misc]simplify: iters left: 2 (179 enodes) 1537439729.341 * * [misc]simplify: iters left: 1 (260 enodes) 1537439729.443 * [exit]simplify: Simplified to (/ (pow (* n (* 2 PI)) (/ k 2)) (* n (/ (* 2 PI) k))) 1537439729.443 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (/ (pow (* n (* 2 PI)) (/ k 2)) (* n (/ (* 2 PI) k)))))) 1537439729.443 * * * * [misc]progress: [ 48 / 196 ] simplifiying candidate # 1537439729.443 * * * * [misc]progress: [ 49 / 196 ] simplifiying candidate # 1537439729.443 * * * * [misc]progress: [ 50 / 196 ] simplifiying candidate # 1537439729.443 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))) (cbrt (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))))) 1537439729.444 * * [misc]simplify: iters left: 6 (18 enodes) 1537439729.448 * * [misc]simplify: iters left: 5 (29 enodes) 1537439729.454 * * [misc]simplify: iters left: 4 (44 enodes) 1537439729.462 * * [misc]simplify: iters left: 3 (48 enodes) 1537439729.468 * * [misc]simplify: iters left: 2 (51 enodes) 1537439729.482 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (/ (sqrt (* (* n 2) PI)) (sqrt (pow (* (* n 2) PI) (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (/ (sqrt (* (* n 2) PI)) (sqrt (pow (* (* n 2) PI) (/ k 2))))))) 1537439729.482 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ (cbrt (sqrt k)) (cbrt (/ (sqrt (* (* n 2) PI)) (sqrt (pow (* (* n 2) PI) (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (/ (sqrt (* (* n 2) PI)) (sqrt (pow (* (* n 2) PI) (/ k 2))))))) (/ (cbrt (sqrt k)) (cbrt (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537439729.483 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439729.484 * * [misc]simplify: iters left: 6 (16 enodes) 1537439729.490 * * [misc]simplify: iters left: 5 (21 enodes) 1537439729.495 * * [misc]simplify: iters left: 4 (27 enodes) 1537439729.500 * * [misc]simplify: iters left: 3 (29 enodes) 1537439729.507 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (/ (sqrt (* (* PI 2) n)) (sqrt (pow (* (* PI 2) n) (/ k 2)))))) 1537439729.507 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ (cbrt (sqrt k)) (cbrt (/ (sqrt (* (* n 2) PI)) (sqrt (pow (* (* n 2) PI) (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (/ (sqrt (* (* n 2) PI)) (sqrt (pow (* (* n 2) PI) (/ k 2))))))) (/ (cbrt (sqrt k)) (cbrt (/ (sqrt (* (* PI 2) n)) (sqrt (pow (* (* PI 2) n) (/ k 2))))))))) 1537439729.507 * * * * [misc]progress: [ 51 / 196 ] simplifiying candidate # 1537439729.507 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439729.508 * * [misc]simplify: iters left: 6 (17 enodes) 1537439729.512 * * [misc]simplify: iters left: 5 (24 enodes) 1537439729.522 * * [misc]simplify: iters left: 4 (32 enodes) 1537439729.532 * * [misc]simplify: iters left: 3 (34 enodes) 1537439729.544 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (/ (sqrt (* (* 2 PI) n)) (sqrt (pow (* (* 2 PI) n) (/ k 2)))))) 1537439729.545 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (/ (sqrt (* (* 2 PI) n)) (sqrt (pow (* (* 2 PI) n) (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537439729.545 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439729.547 * * [misc]simplify: iters left: 6 (16 enodes) 1537439729.553 * * [misc]simplify: iters left: 5 (21 enodes) 1537439729.560 * * [misc]simplify: iters left: 4 (27 enodes) 1537439729.570 * * [misc]simplify: iters left: 3 (29 enodes) 1537439729.580 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (/ (sqrt (* (* PI 2) n)) (sqrt (pow (* (* PI 2) n) (/ k 2)))))) 1537439729.580 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (/ (sqrt (* (* 2 PI) n)) (sqrt (pow (* (* 2 PI) n) (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (/ (sqrt (* (* PI 2) n)) (sqrt (pow (* (* PI 2) n) (/ k 2))))))))) 1537439729.580 * * * * [misc]progress: [ 52 / 196 ] simplifiying candidate # 1537439729.581 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow PI 1/2) (* (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))) 1537439729.583 * * [misc]simplify: iters left: 6 (18 enodes) 1537439729.591 * * [misc]simplify: iters left: 5 (29 enodes) 1537439729.601 * * [misc]simplify: iters left: 4 (46 enodes) 1537439729.611 * * [misc]simplify: iters left: 3 (74 enodes) 1537439729.628 * * [misc]simplify: iters left: 2 (113 enodes) 1537439729.656 * * [misc]simplify: iters left: 1 (144 enodes) 1537439729.696 * [exit]simplify: Simplified to (* (* (cbrt (sqrt (pow (* n (* PI 2)) (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt PI))) (* (cbrt (sqrt k)) (cbrt (sqrt (pow (* n (* PI 2)) (/ k 2)))))) 1537439729.696 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (* (cbrt (sqrt (pow (* n (* PI 2)) (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt PI))) (* (cbrt (sqrt k)) (cbrt (sqrt (pow (* n (* PI 2)) (/ k 2)))))) (/ (cbrt (sqrt k)) (/ (pow (* n 2) 1/2) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537439729.696 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (/ (pow (* n 2) 1/2) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439729.698 * * [misc]simplify: iters left: 6 (16 enodes) 1537439729.704 * * [misc]simplify: iters left: 5 (23 enodes) 1537439729.713 * * [misc]simplify: iters left: 4 (32 enodes) 1537439729.723 * * [misc]simplify: iters left: 3 (35 enodes) 1537439729.736 * [exit]simplify: Simplified to (* (cbrt (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) 1537439729.736 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (* (cbrt (sqrt (pow (* n (* PI 2)) (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt PI))) (* (cbrt (sqrt k)) (cbrt (sqrt (pow (* n (* PI 2)) (/ k 2)))))) (* (cbrt (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (* n 2))))))) 1537439729.736 * * * * [misc]progress: [ 53 / 196 ] simplifiying candidate # 1537439729.736 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow PI 1/2) (sqrt (pow PI (/ k 2))))) 1537439729.737 * * [misc]simplify: iters left: 6 (13 enodes) 1537439729.742 * * [misc]simplify: iters left: 5 (18 enodes) 1537439729.749 * * [misc]simplify: iters left: 4 (25 enodes) 1537439729.757 * * [misc]simplify: iters left: 3 (37 enodes) 1537439729.763 * * [misc]simplify: iters left: 2 (49 enodes) 1537439729.771 * * [misc]simplify: iters left: 1 (55 enodes) 1537439729.783 * [exit]simplify: Simplified to (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (sqrt (pow PI (/ k 2))) (sqrt PI))) 1537439729.783 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (sqrt (pow PI (/ k 2))) (sqrt PI))) (/ (cbrt (sqrt k)) (/ (pow (* n 2) 1/2) (sqrt (pow (* n 2) (/ k 2)))))))) 1537439729.783 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (/ (pow (* n 2) 1/2) (sqrt (pow (* n 2) (/ k 2))))) 1537439729.784 * * [misc]simplify: iters left: 6 (13 enodes) 1537439729.790 * * [misc]simplify: iters left: 5 (17 enodes) 1537439729.796 * * [misc]simplify: iters left: 4 (20 enodes) 1537439729.802 * * [misc]simplify: iters left: 3 (22 enodes) 1537439729.810 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (sqrt (* n 2))) (sqrt (pow (* n 2) (/ k 2)))) 1537439729.810 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (sqrt (pow PI (/ k 2))) (sqrt PI))) (* (/ (cbrt (sqrt k)) (sqrt (* n 2))) (sqrt (pow (* n 2) (/ k 2))))))) 1537439729.810 * * * * [misc]progress: [ 54 / 196 ] simplifiying candidate # 1537439729.811 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow PI 1/2) (sqrt (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))))) 1537439729.812 * * [misc]simplify: iters left: 6 (18 enodes) 1537439729.820 * * [misc]simplify: iters left: 5 (28 enodes) 1537439729.830 * * [misc]simplify: iters left: 4 (41 enodes) 1537439729.845 * * [misc]simplify: iters left: 3 (55 enodes) 1537439729.853 * * [misc]simplify: iters left: 2 (67 enodes) 1537439729.863 * * [misc]simplify: iters left: 1 (73 enodes) 1537439729.882 * [exit]simplify: Simplified to (* (fabs (cbrt (pow (* (* PI 2) n) (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt PI))) 1537439729.882 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (fabs (cbrt (pow (* (* PI 2) n) (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt PI))) (/ (cbrt (sqrt k)) (/ (pow (* n 2) 1/2) (sqrt (cbrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537439729.882 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (/ (pow (* n 2) 1/2) (sqrt (cbrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439729.884 * * [misc]simplify: iters left: 6 (16 enodes) 1537439729.889 * * [misc]simplify: iters left: 5 (23 enodes) 1537439729.900 * * [misc]simplify: iters left: 4 (32 enodes) 1537439729.909 * * [misc]simplify: iters left: 3 (35 enodes) 1537439729.921 * [exit]simplify: Simplified to (* (sqrt (cbrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) 1537439729.921 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (fabs (cbrt (pow (* (* PI 2) n) (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt PI))) (* (sqrt (cbrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (* n 2))))))) 1537439729.921 * * * * [misc]progress: [ 55 / 196 ] simplifiying candidate # 1537439729.921 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow PI 1/2) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439729.922 * * [misc]simplify: iters left: 6 (17 enodes) 1537439729.925 * * [misc]simplify: iters left: 5 (26 enodes) 1537439729.930 * * [misc]simplify: iters left: 4 (39 enodes) 1537439729.938 * * [misc]simplify: iters left: 3 (53 enodes) 1537439729.946 * * [misc]simplify: iters left: 2 (65 enodes) 1537439729.959 * * [misc]simplify: iters left: 1 (71 enodes) 1537439729.985 * [exit]simplify: Simplified to (/ (sqrt (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) 1537439729.985 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) (/ (cbrt (sqrt k)) (/ (pow (* n 2) 1/2) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537439729.986 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (/ (pow (* n 2) 1/2) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439729.987 * * [misc]simplify: iters left: 6 (16 enodes) 1537439729.995 * * [misc]simplify: iters left: 5 (23 enodes) 1537439730.005 * * [misc]simplify: iters left: 4 (32 enodes) 1537439730.011 * * [misc]simplify: iters left: 3 (35 enodes) 1537439730.017 * [exit]simplify: Simplified to (* (sqrt (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) 1537439730.017 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) (* (sqrt (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (* n 2))))))) 1537439730.017 * * * * [misc]progress: [ 56 / 196 ] simplifiying candidate # 1537439730.018 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow PI 1/2) (sqrt 1))) 1537439730.018 * * [misc]simplify: iters left: 6 (11 enodes) 1537439730.021 * * [misc]simplify: iters left: 5 (18 enodes) 1537439730.024 * * [misc]simplify: iters left: 4 (20 enodes) 1537439730.028 * * [misc]simplify: iters left: 3 (27 enodes) 1537439730.033 * * [misc]simplify: iters left: 2 (44 enodes) 1537439730.039 * * [misc]simplify: iters left: 1 (49 enodes) 1537439730.045 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt PI)) 1537439730.045 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt PI)) (/ (cbrt (sqrt k)) (/ (pow (* n 2) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))))))) 1537439730.045 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (/ (pow (* n 2) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537439730.046 * * [misc]simplify: iters left: 6 (15 enodes) 1537439730.050 * * [misc]simplify: iters left: 5 (22 enodes) 1537439730.058 * * [misc]simplify: iters left: 4 (31 enodes) 1537439730.068 * * [misc]simplify: iters left: 3 (34 enodes) 1537439730.079 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (sqrt (* n 2))) (sqrt (pow (* PI (* n 2)) (/ k 2)))) 1537439730.079 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt PI)) (* (/ (cbrt (sqrt k)) (sqrt (* n 2))) (sqrt (pow (* PI (* n 2)) (/ k 2))))))) 1537439730.079 * * * * [misc]progress: [ 57 / 196 ] simplifiying candidate # 1537439730.079 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow PI 1/2) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439730.081 * * [misc]simplify: iters left: 6 (17 enodes) 1537439730.088 * * [misc]simplify: iters left: 5 (26 enodes) 1537439730.099 * * [misc]simplify: iters left: 4 (39 enodes) 1537439730.113 * * [misc]simplify: iters left: 3 (53 enodes) 1537439730.129 * * [misc]simplify: iters left: 2 (65 enodes) 1537439730.142 * * [misc]simplify: iters left: 1 (71 enodes) 1537439730.155 * [exit]simplify: Simplified to (/ (sqrt (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) 1537439730.155 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) (/ (cbrt (sqrt k)) (/ (pow (* n 2) 1/2) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537439730.155 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (/ (pow (* n 2) 1/2) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439730.156 * * [misc]simplify: iters left: 6 (16 enodes) 1537439730.159 * * [misc]simplify: iters left: 5 (23 enodes) 1537439730.163 * * [misc]simplify: iters left: 4 (32 enodes) 1537439730.168 * * [misc]simplify: iters left: 3 (35 enodes) 1537439730.178 * [exit]simplify: Simplified to (* (sqrt (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) 1537439730.178 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) (* (sqrt (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (* n 2))))))) 1537439730.178 * * * * [misc]progress: [ 58 / 196 ] simplifiying candidate # 1537439730.179 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow PI 1/2) 1)) 1537439730.179 * * [misc]simplify: iters left: 6 (10 enodes) 1537439730.184 * * [misc]simplify: iters left: 5 (16 enodes) 1537439730.192 * * [misc]simplify: iters left: 4 (23 enodes) 1537439730.200 * * [misc]simplify: iters left: 3 (38 enodes) 1537439730.210 * * [misc]simplify: iters left: 2 (62 enodes) 1537439730.219 * * [misc]simplify: iters left: 1 (66 enodes) 1537439730.227 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (/ (sqrt PI) (cbrt (sqrt k)))) 1537439730.227 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (cbrt (sqrt k)) (/ (sqrt PI) (cbrt (sqrt k)))) (/ (cbrt (sqrt k)) (/ (pow (* n 2) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))))))) 1537439730.228 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (/ (pow (* n 2) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537439730.228 * * [misc]simplify: iters left: 6 (15 enodes) 1537439730.231 * * [misc]simplify: iters left: 5 (22 enodes) 1537439730.236 * * [misc]simplify: iters left: 4 (31 enodes) 1537439730.246 * * [misc]simplify: iters left: 3 (34 enodes) 1537439730.252 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (sqrt (* n 2))) (sqrt (pow (* PI (* n 2)) (/ k 2)))) 1537439730.252 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (cbrt (sqrt k)) (/ (sqrt PI) (cbrt (sqrt k)))) (* (/ (cbrt (sqrt k)) (sqrt (* n 2))) (sqrt (pow (* PI (* n 2)) (/ k 2))))))) 1537439730.252 * * * * [misc]progress: [ 59 / 196 ] simplifiying candidate # 1537439730.252 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (* (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))) 1537439730.254 * * [misc]simplify: iters left: 6 (20 enodes) 1537439730.258 * * [misc]simplify: iters left: 5 (35 enodes) 1537439730.267 * * [misc]simplify: iters left: 4 (72 enodes) 1537439730.288 * * [misc]simplify: iters left: 3 (144 enodes) 1537439730.346 * * [misc]simplify: iters left: 2 (279 enodes) 1537439730.513 * * [misc]simplify: iters left: 1 (399 enodes) 1537439730.773 * [exit]simplify: Simplified to (* (* (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* n 2) PI)))) (cbrt (sqrt (pow (* (* n 2) PI) (/ k 2))))) (* (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* n 2) PI)))) (cbrt (sqrt (pow (* (* n 2) PI) (/ k 2)))))) 1537439730.773 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (* (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* n 2) PI)))) (cbrt (sqrt (pow (* (* n 2) PI) (/ k 2))))) (* (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* n 2) PI)))) (cbrt (sqrt (pow (* (* n 2) PI) (/ k 2)))))) (/ (cbrt (sqrt k)) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537439730.773 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439730.775 * * [misc]simplify: iters left: 6 (17 enodes) 1537439730.781 * * [misc]simplify: iters left: 5 (24 enodes) 1537439730.790 * * [misc]simplify: iters left: 4 (33 enodes) 1537439730.800 * * [misc]simplify: iters left: 3 (37 enodes) 1537439730.813 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (sqrt (* n (* PI 2))))) (cbrt (sqrt (pow (* n (* PI 2)) (/ k 2))))) 1537439730.814 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (* (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* n 2) PI)))) (cbrt (sqrt (pow (* (* n 2) PI) (/ k 2))))) (* (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* n 2) PI)))) (cbrt (sqrt (pow (* (* n 2) PI) (/ k 2)))))) (* (/ (cbrt (sqrt k)) (cbrt (sqrt (* n (* PI 2))))) (cbrt (sqrt (pow (* n (* PI 2)) (/ k 2)))))))) 1537439730.814 * * * * [misc]progress: [ 60 / 196 ] simplifiying candidate # 1537439730.814 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (sqrt (pow PI (/ k 2))))) 1537439730.816 * * [misc]simplify: iters left: 6 (18 enodes) 1537439730.823 * * [misc]simplify: iters left: 5 (29 enodes) 1537439730.837 * * [misc]simplify: iters left: 4 (50 enodes) 1537439730.861 * * [misc]simplify: iters left: 3 (92 enodes) 1537439730.882 * * [misc]simplify: iters left: 2 (145 enodes) 1537439730.940 * * [misc]simplify: iters left: 1 (176 enodes) 1537439731.007 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (/ k 2))) (cbrt (sqrt (* (* n 2) PI)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (cbrt (sqrt (* (* n 2) PI))))) 1537439731.007 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ (sqrt (pow PI (/ k 2))) (cbrt (sqrt (* (* n 2) PI)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (cbrt (sqrt (* (* n 2) PI))))) (/ (cbrt (sqrt k)) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* n 2) (/ k 2)))))))) 1537439731.008 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* n 2) (/ k 2))))) 1537439731.009 * * [misc]simplify: iters left: 6 (16 enodes) 1537439731.016 * * [misc]simplify: iters left: 5 (23 enodes) 1537439731.024 * * [misc]simplify: iters left: 4 (32 enodes) 1537439731.033 * * [misc]simplify: iters left: 3 (35 enodes) 1537439731.039 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (sqrt (pow (* n 2) (/ k 2)))) (cbrt (sqrt (* (* PI 2) n)))) 1537439731.039 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ (sqrt (pow PI (/ k 2))) (cbrt (sqrt (* (* n 2) PI)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (cbrt (sqrt (* (* n 2) PI))))) (/ (* (cbrt (sqrt k)) (sqrt (pow (* n 2) (/ k 2)))) (cbrt (sqrt (* (* PI 2) n))))))) 1537439731.039 * * * * [misc]progress: [ 61 / 196 ] simplifiying candidate # 1537439731.039 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (sqrt (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))))) 1537439731.041 * * [misc]simplify: iters left: 6 (20 enodes) 1537439731.046 * * [misc]simplify: iters left: 5 (32 enodes) 1537439731.054 * * [misc]simplify: iters left: 4 (53 enodes) 1537439731.067 * * [misc]simplify: iters left: 3 (95 enodes) 1537439731.089 * * [misc]simplify: iters left: 2 (152 enodes) 1537439731.154 * * [misc]simplify: iters left: 1 (185 enodes) 1537439731.215 * [exit]simplify: Simplified to (* (fabs (cbrt (pow (* (* n 2) PI) (/ k 2)))) (* (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* n 2) PI)))) (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* n 2) PI)))))) 1537439731.215 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (fabs (cbrt (pow (* (* n 2) PI) (/ k 2)))) (* (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* n 2) PI)))) (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* n 2) PI)))))) (/ (cbrt (sqrt k)) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (cbrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537439731.216 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (cbrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439731.217 * * [misc]simplify: iters left: 6 (17 enodes) 1537439731.224 * * [misc]simplify: iters left: 5 (24 enodes) 1537439731.232 * * [misc]simplify: iters left: 4 (33 enodes) 1537439731.243 * * [misc]simplify: iters left: 3 (37 enodes) 1537439731.256 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (sqrt (* n (* PI 2))))) (sqrt (cbrt (pow (* n (* PI 2)) (/ k 2))))) 1537439731.256 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (fabs (cbrt (pow (* (* n 2) PI) (/ k 2)))) (* (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* n 2) PI)))) (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* n 2) PI)))))) (* (/ (cbrt (sqrt k)) (cbrt (sqrt (* n (* PI 2))))) (sqrt (cbrt (pow (* n (* PI 2)) (/ k 2)))))))) 1537439731.256 * * * * [misc]progress: [ 62 / 196 ] simplifiying candidate # 1537439731.257 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439731.259 * * [misc]simplify: iters left: 6 (19 enodes) 1537439731.267 * * [misc]simplify: iters left: 5 (30 enodes) 1537439731.280 * * [misc]simplify: iters left: 4 (51 enodes) 1537439731.294 * * [misc]simplify: iters left: 3 (93 enodes) 1537439731.318 * * [misc]simplify: iters left: 2 (150 enodes) 1537439731.349 * * [misc]simplify: iters left: 1 (181 enodes) 1537439731.397 * [exit]simplify: Simplified to (* (* (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* 2 PI) n)))) (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* 2 PI) n))))) (sqrt (sqrt (pow (* (* 2 PI) n) (/ k 2))))) 1537439731.398 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (* (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* 2 PI) n)))) (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* 2 PI) n))))) (sqrt (sqrt (pow (* (* 2 PI) n) (/ k 2))))) (/ (cbrt (sqrt k)) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537439731.398 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439731.399 * * [misc]simplify: iters left: 6 (17 enodes) 1537439731.402 * * [misc]simplify: iters left: 5 (24 enodes) 1537439731.407 * * [misc]simplify: iters left: 4 (33 enodes) 1537439731.412 * * [misc]simplify: iters left: 3 (37 enodes) 1537439731.419 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (sqrt (* n (* PI 2))))) (sqrt (sqrt (pow (* n (* PI 2)) (/ k 2))))) 1537439731.419 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (* (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* 2 PI) n)))) (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* 2 PI) n))))) (sqrt (sqrt (pow (* (* 2 PI) n) (/ k 2))))) (* (/ (cbrt (sqrt k)) (cbrt (sqrt (* n (* PI 2))))) (sqrt (sqrt (pow (* n (* PI 2)) (/ k 2)))))))) 1537439731.419 * * * * [misc]progress: [ 63 / 196 ] simplifiying candidate # 1537439731.419 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (sqrt 1))) 1537439731.420 * * [misc]simplify: iters left: 6 (17 enodes) 1537439731.424 * * [misc]simplify: iters left: 5 (30 enodes) 1537439731.430 * * [misc]simplify: iters left: 4 (46 enodes) 1537439731.442 * * [misc]simplify: iters left: 3 (75 enodes) 1537439731.466 * * [misc]simplify: iters left: 2 (189 enodes) 1537439731.548 * * [misc]simplify: iters left: 1 (313 enodes) 1537439731.626 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* 2 PI) n)))) (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* 2 PI) n))))) 1537439731.626 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* 2 PI) n)))) (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* 2 PI) n))))) (/ (cbrt (sqrt k)) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))))))) 1537439731.626 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537439731.628 * * [misc]simplify: iters left: 6 (16 enodes) 1537439731.634 * * [misc]simplify: iters left: 5 (23 enodes) 1537439731.642 * * [misc]simplify: iters left: 4 (32 enodes) 1537439731.652 * * [misc]simplify: iters left: 3 (35 enodes) 1537439731.665 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (/ k 2)))) (cbrt (sqrt (* (* PI 2) n)))) 1537439731.665 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* 2 PI) n)))) (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* 2 PI) n))))) (/ (* (cbrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (/ k 2)))) (cbrt (sqrt (* (* PI 2) n))))))) 1537439731.665 * * * * [misc]progress: [ 64 / 196 ] simplifiying candidate # 1537439731.666 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439731.668 * * [misc]simplify: iters left: 6 (19 enodes) 1537439731.678 * * [misc]simplify: iters left: 5 (30 enodes) 1537439731.689 * * [misc]simplify: iters left: 4 (51 enodes) 1537439731.702 * * [misc]simplify: iters left: 3 (93 enodes) 1537439731.724 * * [misc]simplify: iters left: 2 (150 enodes) 1537439731.758 * * [misc]simplify: iters left: 1 (181 enodes) 1537439731.808 * [exit]simplify: Simplified to (* (* (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* 2 PI) n)))) (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* 2 PI) n))))) (sqrt (sqrt (pow (* (* 2 PI) n) (/ k 2))))) 1537439731.808 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (* (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* 2 PI) n)))) (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* 2 PI) n))))) (sqrt (sqrt (pow (* (* 2 PI) n) (/ k 2))))) (/ (cbrt (sqrt k)) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537439731.808 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439731.809 * * [misc]simplify: iters left: 6 (17 enodes) 1537439731.812 * * [misc]simplify: iters left: 5 (24 enodes) 1537439731.816 * * [misc]simplify: iters left: 4 (33 enodes) 1537439731.822 * * [misc]simplify: iters left: 3 (37 enodes) 1537439731.829 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (sqrt (* n (* PI 2))))) (sqrt (sqrt (pow (* n (* PI 2)) (/ k 2))))) 1537439731.829 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (* (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* 2 PI) n)))) (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* 2 PI) n))))) (sqrt (sqrt (pow (* (* 2 PI) n) (/ k 2))))) (* (/ (cbrt (sqrt k)) (cbrt (sqrt (* n (* PI 2))))) (sqrt (sqrt (pow (* n (* PI 2)) (/ k 2)))))))) 1537439731.829 * * * * [misc]progress: [ 65 / 196 ] simplifiying candidate # 1537439731.829 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) 1)) 1537439731.830 * * [misc]simplify: iters left: 6 (16 enodes) 1537439731.834 * * [misc]simplify: iters left: 5 (29 enodes) 1537439731.841 * * [misc]simplify: iters left: 4 (53 enodes) 1537439731.853 * * [misc]simplify: iters left: 3 (97 enodes) 1537439731.909 * * [misc]simplify: iters left: 2 (281 enodes) 1537439732.196 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* n 2) PI)))) (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* n 2) PI))))) 1537439732.196 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* n 2) PI)))) (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* n 2) PI))))) (/ (cbrt (sqrt k)) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))))))) 1537439732.196 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537439732.198 * * [misc]simplify: iters left: 6 (16 enodes) 1537439732.203 * * [misc]simplify: iters left: 5 (23 enodes) 1537439732.212 * * [misc]simplify: iters left: 4 (32 enodes) 1537439732.221 * * [misc]simplify: iters left: 3 (35 enodes) 1537439732.233 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (/ k 2)))) (cbrt (sqrt (* (* PI 2) n)))) 1537439732.233 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* n 2) PI)))) (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* n 2) PI))))) (/ (* (cbrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (/ k 2)))) (cbrt (sqrt (* (* PI 2) n))))))) 1537439732.233 * * * * [misc]progress: [ 66 / 196 ] simplifiying candidate # 1537439732.233 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (* (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))) 1537439732.234 * * [misc]simplify: iters left: 6 (19 enodes) 1537439732.238 * * [misc]simplify: iters left: 5 (30 enodes) 1537439732.244 * * [misc]simplify: iters left: 4 (47 enodes) 1537439732.254 * * [misc]simplify: iters left: 3 (74 enodes) 1537439732.274 * * [misc]simplify: iters left: 2 (113 enodes) 1537439732.310 * * [misc]simplify: iters left: 1 (146 enodes) 1537439732.344 * [exit]simplify: Simplified to (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (* (* 2 PI) n)))) (* (cbrt (sqrt (pow (* (* 2 PI) n) (/ k 2)))) (cbrt (sqrt (pow (* (* 2 PI) n) (/ k 2)))))) 1537439732.344 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (* (* 2 PI) n)))) (* (cbrt (sqrt (pow (* (* 2 PI) n) (/ k 2)))) (cbrt (sqrt (pow (* (* 2 PI) n) (/ k 2)))))) (/ (cbrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537439732.345 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439732.346 * * [misc]simplify: iters left: 6 (17 enodes) 1537439732.349 * * [misc]simplify: iters left: 5 (24 enodes) 1537439732.354 * * [misc]simplify: iters left: 4 (33 enodes) 1537439732.359 * * [misc]simplify: iters left: 3 (37 enodes) 1537439732.366 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (sqrt (sqrt (* n (* PI 2))))) (cbrt (sqrt (pow (* n (* PI 2)) (/ k 2))))) 1537439732.366 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (* (* 2 PI) n)))) (* (cbrt (sqrt (pow (* (* 2 PI) n) (/ k 2)))) (cbrt (sqrt (pow (* (* 2 PI) n) (/ k 2)))))) (* (/ (cbrt (sqrt k)) (sqrt (sqrt (* n (* PI 2))))) (cbrt (sqrt (pow (* n (* PI 2)) (/ k 2)))))))) 1537439732.366 * * * * [misc]progress: [ 67 / 196 ] simplifiying candidate # 1537439732.366 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow PI (/ k 2))))) 1537439732.367 * * [misc]simplify: iters left: 6 (17 enodes) 1537439732.371 * * [misc]simplify: iters left: 5 (26 enodes) 1537439732.376 * * [misc]simplify: iters left: 4 (39 enodes) 1537439732.390 * * [misc]simplify: iters left: 3 (52 enodes) 1537439732.406 * * [misc]simplify: iters left: 2 (64 enodes) 1537439732.425 * * [misc]simplify: iters left: 1 (70 enodes) 1537439732.452 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (sqrt (* (* 2 PI) n)))) 1537439732.452 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (* (sqrt (pow PI (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (sqrt (* (* 2 PI) n)))) (/ (cbrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* n 2) (/ k 2)))))))) 1537439732.452 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* n 2) (/ k 2))))) 1537439732.454 * * [misc]simplify: iters left: 6 (16 enodes) 1537439732.460 * * [misc]simplify: iters left: 5 (23 enodes) 1537439732.468 * * [misc]simplify: iters left: 4 (32 enodes) 1537439732.478 * * [misc]simplify: iters left: 3 (35 enodes) 1537439732.490 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (sqrt (pow (* n 2) (/ k 2)))) (sqrt (sqrt (* (* PI 2) n)))) 1537439732.490 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (* (sqrt (pow PI (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (sqrt (* (* 2 PI) n)))) (/ (* (cbrt (sqrt k)) (sqrt (pow (* n 2) (/ k 2)))) (sqrt (sqrt (* (* PI 2) n))))))) 1537439732.490 * * * * [misc]progress: [ 68 / 196 ] simplifiying candidate # 1537439732.491 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))))) 1537439732.493 * * [misc]simplify: iters left: 6 (19 enodes) 1537439732.501 * * [misc]simplify: iters left: 5 (29 enodes) 1537439732.513 * * [misc]simplify: iters left: 4 (42 enodes) 1537439732.528 * * [misc]simplify: iters left: 3 (55 enodes) 1537439732.544 * * [misc]simplify: iters left: 2 (67 enodes) 1537439732.564 * * [misc]simplify: iters left: 1 (73 enodes) 1537439732.594 * [exit]simplify: Simplified to (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (* (* n 2) PI)))) (fabs (cbrt (pow (* (* n 2) PI) (/ k 2))))) 1537439732.594 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (* (* n 2) PI)))) (fabs (cbrt (pow (* (* n 2) PI) (/ k 2))))) (/ (cbrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (cbrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537439732.594 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (cbrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439732.596 * * [misc]simplify: iters left: 6 (17 enodes) 1537439732.603 * * [misc]simplify: iters left: 5 (24 enodes) 1537439732.611 * * [misc]simplify: iters left: 4 (33 enodes) 1537439732.617 * * [misc]simplify: iters left: 3 (37 enodes) 1537439732.623 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (sqrt (sqrt (* n (* PI 2))))) (sqrt (cbrt (pow (* n (* PI 2)) (/ k 2))))) 1537439732.623 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (* (* n 2) PI)))) (fabs (cbrt (pow (* (* n 2) PI) (/ k 2))))) (* (/ (cbrt (sqrt k)) (sqrt (sqrt (* n (* PI 2))))) (sqrt (cbrt (pow (* n (* PI 2)) (/ k 2)))))))) 1537439732.623 * * * * [misc]progress: [ 69 / 196 ] simplifiying candidate # 1537439732.624 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439732.625 * * [misc]simplify: iters left: 6 (18 enodes) 1537439732.628 * * [misc]simplify: iters left: 5 (27 enodes) 1537439732.634 * * [misc]simplify: iters left: 4 (40 enodes) 1537439732.642 * * [misc]simplify: iters left: 3 (53 enodes) 1537439732.659 * * [misc]simplify: iters left: 2 (65 enodes) 1537439732.680 * * [misc]simplify: iters left: 1 (71 enodes) 1537439732.703 * [exit]simplify: Simplified to (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (* (* n 2) PI)))) (sqrt (sqrt (pow (* (* n 2) PI) (/ k 2))))) 1537439732.703 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (* (* n 2) PI)))) (sqrt (sqrt (pow (* (* n 2) PI) (/ k 2))))) (/ (cbrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537439732.703 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439732.704 * * [misc]simplify: iters left: 6 (17 enodes) 1537439732.707 * * [misc]simplify: iters left: 5 (24 enodes) 1537439732.712 * * [misc]simplify: iters left: 4 (33 enodes) 1537439732.717 * * [misc]simplify: iters left: 3 (37 enodes) 1537439732.724 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (sqrt (sqrt (* n (* PI 2))))) (sqrt (sqrt (pow (* n (* PI 2)) (/ k 2))))) 1537439732.724 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (* (* n 2) PI)))) (sqrt (sqrt (pow (* (* n 2) PI) (/ k 2))))) (* (/ (cbrt (sqrt k)) (sqrt (sqrt (* n (* PI 2))))) (sqrt (sqrt (pow (* n (* PI 2)) (/ k 2)))))))) 1537439732.724 * * * * [misc]progress: [ 70 / 196 ] simplifiying candidate # 1537439732.724 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt 1))) 1537439732.725 * * [misc]simplify: iters left: 6 (16 enodes) 1537439732.729 * * [misc]simplify: iters left: 5 (27 enodes) 1537439732.734 * * [misc]simplify: iters left: 4 (35 enodes) 1537439732.741 * * [misc]simplify: iters left: 3 (47 enodes) 1537439732.756 * * [misc]simplify: iters left: 2 (65 enodes) 1537439732.768 * * [misc]simplify: iters left: 1 (70 enodes) 1537439732.776 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (* (* n 2) PI)))) 1537439732.776 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (* (* n 2) PI)))) (/ (cbrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))))))) 1537439732.776 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537439732.777 * * [misc]simplify: iters left: 6 (16 enodes) 1537439732.780 * * [misc]simplify: iters left: 5 (23 enodes) 1537439732.785 * * [misc]simplify: iters left: 4 (32 enodes) 1537439732.789 * * [misc]simplify: iters left: 3 (35 enodes) 1537439732.796 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (/ k 2)))) (sqrt (sqrt (* (* PI 2) n)))) 1537439732.796 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (* (* n 2) PI)))) (/ (* (cbrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (/ k 2)))) (sqrt (sqrt (* (* PI 2) n))))))) 1537439732.796 * * * * [misc]progress: [ 71 / 196 ] simplifiying candidate # 1537439732.796 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439732.797 * * [misc]simplify: iters left: 6 (18 enodes) 1537439732.802 * * [misc]simplify: iters left: 5 (27 enodes) 1537439732.808 * * [misc]simplify: iters left: 4 (40 enodes) 1537439732.816 * * [misc]simplify: iters left: 3 (53 enodes) 1537439732.824 * * [misc]simplify: iters left: 2 (65 enodes) 1537439732.833 * * [misc]simplify: iters left: 1 (71 enodes) 1537439732.848 * [exit]simplify: Simplified to (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (* (* n 2) PI)))) (sqrt (sqrt (pow (* (* n 2) PI) (/ k 2))))) 1537439732.848 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (* (* n 2) PI)))) (sqrt (sqrt (pow (* (* n 2) PI) (/ k 2))))) (/ (cbrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537439732.849 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439732.850 * * [misc]simplify: iters left: 6 (17 enodes) 1537439732.853 * * [misc]simplify: iters left: 5 (24 enodes) 1537439732.858 * * [misc]simplify: iters left: 4 (33 enodes) 1537439732.863 * * [misc]simplify: iters left: 3 (37 enodes) 1537439732.870 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (sqrt (sqrt (* n (* PI 2))))) (sqrt (sqrt (pow (* n (* PI 2)) (/ k 2))))) 1537439732.870 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (* (* n 2) PI)))) (sqrt (sqrt (pow (* (* n 2) PI) (/ k 2))))) (* (/ (cbrt (sqrt k)) (sqrt (sqrt (* n (* PI 2))))) (sqrt (sqrt (pow (* n (* PI 2)) (/ k 2)))))))) 1537439732.870 * * * * [misc]progress: [ 72 / 196 ] simplifiying candidate # 1537439732.870 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (sqrt (pow (* PI (* n 2)) 1/2)) 1)) 1537439732.871 * * [misc]simplify: iters left: 6 (15 enodes) 1537439732.874 * * [misc]simplify: iters left: 5 (26 enodes) 1537439732.881 * * [misc]simplify: iters left: 4 (40 enodes) 1537439732.888 * * [misc]simplify: iters left: 3 (52 enodes) 1537439732.895 * * [misc]simplify: iters left: 2 (53 enodes) 1537439732.901 * * [misc]simplify: iters left: 1 (59 enodes) 1537439732.911 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (* (* 2 PI) n)))) 1537439732.911 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (* (* 2 PI) n)))) (/ (cbrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))))))) 1537439732.911 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537439732.912 * * [misc]simplify: iters left: 6 (16 enodes) 1537439732.915 * * [misc]simplify: iters left: 5 (23 enodes) 1537439732.920 * * [misc]simplify: iters left: 4 (32 enodes) 1537439732.925 * * [misc]simplify: iters left: 3 (35 enodes) 1537439732.931 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (/ k 2)))) (sqrt (sqrt (* (* PI 2) n)))) 1537439732.931 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (* (* 2 PI) n)))) (/ (* (cbrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (/ k 2)))) (sqrt (sqrt (* (* PI 2) n))))))) 1537439732.931 * * * * [misc]progress: [ 73 / 196 ] simplifiying candidate # 1537439732.931 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ 1 (* (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))) 1537439732.932 * * [misc]simplify: iters left: 6 (17 enodes) 1537439732.936 * * [misc]simplify: iters left: 5 (29 enodes) 1537439732.942 * * [misc]simplify: iters left: 4 (46 enodes) 1537439732.953 * * [misc]simplify: iters left: 3 (74 enodes) 1537439732.985 * * [misc]simplify: iters left: 2 (142 enodes) 1537439733.117 * * [misc]simplify: iters left: 1 (392 enodes) 1537439733.470 * [exit]simplify: Simplified to (* (* (cbrt (sqrt (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (sqrt k))) (* (cbrt (sqrt (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (sqrt k)))) 1537439733.470 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (* (cbrt (sqrt (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (sqrt k))) (* (cbrt (sqrt (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (sqrt k)) (/ (pow (* PI (* n 2)) 1/2) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537439733.470 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (/ (pow (* PI (* n 2)) 1/2) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439733.471 * * [misc]simplify: iters left: 6 (16 enodes) 1537439733.475 * * [misc]simplify: iters left: 5 (23 enodes) 1537439733.481 * * [misc]simplify: iters left: 4 (32 enodes) 1537439733.486 * * [misc]simplify: iters left: 3 (35 enodes) 1537439733.492 * [exit]simplify: Simplified to (* (cbrt (sqrt (pow (* (* PI 2) n) (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (* (* PI 2) n)))) 1537439733.492 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (* (cbrt (sqrt (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (sqrt k))) (* (cbrt (sqrt (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (sqrt k)))) (* (cbrt (sqrt (pow (* (* PI 2) n) (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (* (* PI 2) n))))))) 1537439733.492 * * * * [misc]progress: [ 74 / 196 ] simplifiying candidate # 1537439733.492 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ 1 (sqrt (pow PI (/ k 2))))) 1537439733.493 * * [misc]simplify: iters left: 6 (12 enodes) 1537439733.495 * * [misc]simplify: iters left: 5 (18 enodes) 1537439733.501 * * [misc]simplify: iters left: 4 (25 enodes) 1537439733.511 * * [misc]simplify: iters left: 3 (40 enodes) 1537439733.528 * * [misc]simplify: iters left: 2 (63 enodes) 1537439733.558 * * [misc]simplify: iters left: 1 (138 enodes) 1537439733.602 * [exit]simplify: Simplified to (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (/ k 2)))) 1537439733.602 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (/ k 2)))) (/ (cbrt (sqrt k)) (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* n 2) (/ k 2)))))))) 1537439733.602 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* n 2) (/ k 2))))) 1537439733.603 * * [misc]simplify: iters left: 6 (15 enodes) 1537439733.606 * * [misc]simplify: iters left: 5 (22 enodes) 1537439733.611 * * [misc]simplify: iters left: 4 (31 enodes) 1537439733.619 * * [misc]simplify: iters left: 3 (34 enodes) 1537439733.631 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (sqrt (* n (* PI 2)))) (sqrt (pow (* n 2) (/ k 2)))) 1537439733.631 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (/ k 2)))) (* (/ (cbrt (sqrt k)) (sqrt (* n (* PI 2)))) (sqrt (pow (* n 2) (/ k 2))))))) 1537439733.631 * * * * [misc]progress: [ 75 / 196 ] simplifiying candidate # 1537439733.631 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))))) 1537439733.633 * * [misc]simplify: iters left: 6 (17 enodes) 1537439733.641 * * [misc]simplify: iters left: 5 (28 enodes) 1537439733.651 * * [misc]simplify: iters left: 4 (41 enodes) 1537439733.668 * * [misc]simplify: iters left: 3 (57 enodes) 1537439733.687 * * [misc]simplify: iters left: 2 (80 enodes) 1537439733.715 * * [misc]simplify: iters left: 1 (156 enodes) 1537439733.773 * [exit]simplify: Simplified to (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (fabs (cbrt (pow (* (* PI n) 2) (/ k 2))))) 1537439733.773 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (fabs (cbrt (pow (* (* PI n) 2) (/ k 2))))) (/ (cbrt (sqrt k)) (/ (pow (* PI (* n 2)) 1/2) (sqrt (cbrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537439733.773 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (/ (pow (* PI (* n 2)) 1/2) (sqrt (cbrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439733.775 * * [misc]simplify: iters left: 6 (16 enodes) 1537439733.781 * * [misc]simplify: iters left: 5 (23 enodes) 1537439733.790 * * [misc]simplify: iters left: 4 (32 enodes) 1537439733.800 * * [misc]simplify: iters left: 3 (35 enodes) 1537439733.812 * [exit]simplify: Simplified to (* (sqrt (cbrt (pow (* (* PI 2) n) (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (* (* PI 2) n)))) 1537439733.812 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (fabs (cbrt (pow (* (* PI n) 2) (/ k 2))))) (* (sqrt (cbrt (pow (* (* PI 2) n) (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (* (* PI 2) n))))))) 1537439733.812 * * * * [misc]progress: [ 76 / 196 ] simplifiying candidate # 1537439733.812 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ 1 (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439733.813 * * [misc]simplify: iters left: 6 (16 enodes) 1537439733.816 * * [misc]simplify: iters left: 5 (26 enodes) 1537439733.821 * * [misc]simplify: iters left: 4 (39 enodes) 1537439733.829 * * [misc]simplify: iters left: 3 (55 enodes) 1537439733.839 * * [misc]simplify: iters left: 2 (78 enodes) 1537439733.872 * * [misc]simplify: iters left: 1 (138 enodes) 1537439733.931 * [exit]simplify: Simplified to (* (sqrt (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537439733.931 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (sqrt (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (sqrt k)) (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537439733.932 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439733.932 * * [misc]simplify: iters left: 6 (16 enodes) 1537439733.936 * * [misc]simplify: iters left: 5 (23 enodes) 1537439733.940 * * [misc]simplify: iters left: 4 (32 enodes) 1537439733.946 * * [misc]simplify: iters left: 3 (35 enodes) 1537439733.958 * [exit]simplify: Simplified to (* (sqrt (sqrt (pow (* (* PI 2) n) (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (* (* PI 2) n)))) 1537439733.958 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (sqrt (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (sqrt (sqrt (pow (* (* PI 2) n) (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (* (* PI 2) n))))))) 1537439733.958 * * * * [misc]progress: [ 77 / 196 ] simplifiying candidate # 1537439733.958 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ 1 (sqrt 1))) 1537439733.959 * * [misc]simplify: iters left: 6 (8 enodes) 1537439733.963 * * [misc]simplify: iters left: 5 (14 enodes) 1537439733.967 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1537439733.967 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))))))) 1537439733.967 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537439733.968 * * [misc]simplify: iters left: 6 (15 enodes) 1537439733.974 * * [misc]simplify: iters left: 5 (22 enodes) 1537439733.981 * * [misc]simplify: iters left: 4 (31 enodes) 1537439733.990 * * [misc]simplify: iters left: 3 (34 enodes) 1537439734.000 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (sqrt (* n (* PI 2)))) (sqrt (pow (* n (* PI 2)) (/ k 2)))) 1537439734.000 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (/ (cbrt (sqrt k)) (sqrt (* n (* PI 2)))) (sqrt (pow (* n (* PI 2)) (/ k 2))))))) 1537439734.000 * * * * [misc]progress: [ 78 / 196 ] simplifiying candidate # 1537439734.000 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ 1 (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439734.001 * * [misc]simplify: iters left: 6 (16 enodes) 1537439734.005 * * [misc]simplify: iters left: 5 (26 enodes) 1537439734.010 * * [misc]simplify: iters left: 4 (39 enodes) 1537439734.018 * * [misc]simplify: iters left: 3 (55 enodes) 1537439734.028 * * [misc]simplify: iters left: 2 (78 enodes) 1537439734.062 * * [misc]simplify: iters left: 1 (138 enodes) 1537439734.103 * [exit]simplify: Simplified to (* (sqrt (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537439734.103 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (sqrt (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (sqrt k)) (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537439734.104 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439734.104 * * [misc]simplify: iters left: 6 (16 enodes) 1537439734.108 * * [misc]simplify: iters left: 5 (23 enodes) 1537439734.112 * * [misc]simplify: iters left: 4 (32 enodes) 1537439734.117 * * [misc]simplify: iters left: 3 (35 enodes) 1537439734.129 * [exit]simplify: Simplified to (* (sqrt (sqrt (pow (* (* PI 2) n) (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (* (* PI 2) n)))) 1537439734.129 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (sqrt (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (sqrt (sqrt (pow (* (* PI 2) n) (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (* (* PI 2) n))))))) 1537439734.129 * * * * [misc]progress: [ 79 / 196 ] simplifiying candidate # 1537439734.129 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ 1 1)) 1537439734.130 * * [misc]simplify: iters left: 6 (7 enodes) 1537439734.133 * * [misc]simplify: iters left: 5 (11 enodes) 1537439734.136 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1537439734.136 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))))))) 1537439734.137 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537439734.138 * * [misc]simplify: iters left: 6 (15 enodes) 1537439734.144 * * [misc]simplify: iters left: 5 (22 enodes) 1537439734.153 * * [misc]simplify: iters left: 4 (31 enodes) 1537439734.163 * * [misc]simplify: iters left: 3 (34 enodes) 1537439734.175 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (sqrt (* n (* PI 2)))) (sqrt (pow (* n (* PI 2)) (/ k 2)))) 1537439734.175 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (/ (cbrt (sqrt k)) (sqrt (* n (* PI 2)))) (sqrt (pow (* n (* PI 2)) (/ k 2))))))) 1537439734.175 * * * * [misc]progress: [ 80 / 196 ] simplifiying candidate # 1537439734.175 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1537439734.176 * * [misc]simplify: iters left: 6 (6 enodes) 1537439734.179 * * [misc]simplify: iters left: 5 (10 enodes) 1537439734.183 * * [misc]simplify: iters left: 4 (16 enodes) 1537439734.187 * * [misc]simplify: iters left: 3 (18 enodes) 1537439734.192 * * [misc]simplify: iters left: 2 (23 enodes) 1537439734.198 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1537439734.198 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))))))) 1537439734.199 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537439734.200 * * [misc]simplify: iters left: 6 (15 enodes) 1537439734.206 * * [misc]simplify: iters left: 5 (22 enodes) 1537439734.214 * * [misc]simplify: iters left: 4 (31 enodes) 1537439734.224 * * [misc]simplify: iters left: 3 (34 enodes) 1537439734.232 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (sqrt (* n (* PI 2)))) (sqrt (pow (* n (* PI 2)) (/ k 2)))) 1537439734.232 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (/ (cbrt (sqrt k)) (sqrt (* n (* PI 2)))) (sqrt (pow (* n (* PI 2)) (/ k 2))))))) 1537439734.232 * * * * [misc]progress: [ 81 / 196 ] simplifiying candidate # 1537439734.232 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) 1/2)) 1537439734.233 * * [misc]simplify: iters left: 6 (12 enodes) 1537439734.235 * * [misc]simplify: iters left: 5 (19 enodes) 1537439734.239 * * [misc]simplify: iters left: 4 (27 enodes) 1537439734.243 * * [misc]simplify: iters left: 3 (29 enodes) 1537439734.250 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) 1537439734.250 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) (/ (cbrt (sqrt k)) (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))))))) 1537439734.250 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537439734.251 * * [misc]simplify: iters left: 6 (14 enodes) 1537439734.254 * * [misc]simplify: iters left: 5 (22 enodes) 1537439734.259 * * [misc]simplify: iters left: 4 (31 enodes) 1537439734.265 * * [misc]simplify: iters left: 3 (42 enodes) 1537439734.271 * * [misc]simplify: iters left: 2 (44 enodes) 1537439734.276 * * [misc]simplify: iters left: 1 (49 enodes) 1537439734.283 * [exit]simplify: Simplified to (* (sqrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (sqrt k))) 1537439734.284 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) (* (sqrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (sqrt k)))))) 1537439734.284 * * * * [misc]progress: [ 82 / 196 ] simplifiying candidate # 1537439734.284 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))) (cbrt (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))))) 1537439734.285 * * [misc]simplify: iters left: 6 (17 enodes) 1537439734.288 * * [misc]simplify: iters left: 5 (24 enodes) 1537439734.292 * * [misc]simplify: iters left: 4 (30 enodes) 1537439734.297 * * [misc]simplify: iters left: 3 (32 enodes) 1537439734.303 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (cbrt (/ (sqrt (* n (* PI 2))) (sqrt (pow (* n (* PI 2)) (/ k 2)))))) (cbrt (/ (sqrt (* n (* PI 2))) (sqrt (pow (* n (* PI 2)) (/ k 2)))))) 1537439734.303 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (/ (sqrt (sqrt k)) (cbrt (/ (sqrt (* n (* PI 2))) (sqrt (pow (* n (* PI 2)) (/ k 2)))))) (cbrt (/ (sqrt (* n (* PI 2))) (sqrt (pow (* n (* PI 2)) (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537439734.304 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439734.305 * * [misc]simplify: iters left: 6 (16 enodes) 1537439734.311 * * [misc]simplify: iters left: 5 (21 enodes) 1537439734.315 * * [misc]simplify: iters left: 4 (27 enodes) 1537439734.319 * * [misc]simplify: iters left: 3 (29 enodes) 1537439734.326 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (/ (sqrt (* (* PI 2) n)) (sqrt (pow (* (* PI 2) n) (/ k 2)))))) 1537439734.326 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (/ (sqrt (sqrt k)) (cbrt (/ (sqrt (* n (* PI 2))) (sqrt (pow (* n (* PI 2)) (/ k 2)))))) (cbrt (/ (sqrt (* n (* PI 2))) (sqrt (pow (* n (* PI 2)) (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (/ (sqrt (* (* PI 2) n)) (sqrt (pow (* (* PI 2) n) (/ k 2))))))))) 1537439734.326 * * * * [misc]progress: [ 83 / 196 ] simplifiying candidate # 1537439734.327 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439734.327 * * [misc]simplify: iters left: 6 (16 enodes) 1537439734.330 * * [misc]simplify: iters left: 5 (21 enodes) 1537439734.334 * * [misc]simplify: iters left: 4 (27 enodes) 1537439734.338 * * [misc]simplify: iters left: 3 (29 enodes) 1537439734.343 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (/ (sqrt (* (* PI 2) n)) (sqrt (pow (* (* PI 2) n) (/ k 2)))))) 1537439734.343 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (/ (sqrt (* (* PI 2) n)) (sqrt (pow (* (* PI 2) n) (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537439734.344 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439734.345 * * [misc]simplify: iters left: 6 (16 enodes) 1537439734.348 * * [misc]simplify: iters left: 5 (21 enodes) 1537439734.352 * * [misc]simplify: iters left: 4 (27 enodes) 1537439734.356 * * [misc]simplify: iters left: 3 (29 enodes) 1537439734.367 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (/ (sqrt (* (* PI 2) n)) (sqrt (pow (* (* PI 2) n) (/ k 2)))))) 1537439734.367 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (/ (sqrt (* (* PI 2) n)) (sqrt (pow (* (* PI 2) n) (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (/ (sqrt (* (* PI 2) n)) (sqrt (pow (* (* PI 2) n) (/ k 2))))))))) 1537439734.367 * * * * [misc]progress: [ 84 / 196 ] simplifiying candidate # 1537439734.368 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (pow PI 1/2) (* (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))) 1537439734.370 * * [misc]simplify: iters left: 6 (17 enodes) 1537439734.374 * * [misc]simplify: iters left: 5 (26 enodes) 1537439734.379 * * [misc]simplify: iters left: 4 (37 enodes) 1537439734.386 * * [misc]simplify: iters left: 3 (47 enodes) 1537439734.393 * * [misc]simplify: iters left: 2 (55 enodes) 1537439734.401 * * [misc]simplify: iters left: 1 (57 enodes) 1537439734.426 * [exit]simplify: Simplified to (/ (* (sqrt (sqrt k)) (cbrt (sqrt (pow (* n (* PI 2)) (/ k 2))))) (/ (sqrt PI) (cbrt (sqrt (pow (* n (* PI 2)) (/ k 2)))))) 1537439734.426 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (* (sqrt (sqrt k)) (cbrt (sqrt (pow (* n (* PI 2)) (/ k 2))))) (/ (sqrt PI) (cbrt (sqrt (pow (* n (* PI 2)) (/ k 2)))))) (/ (sqrt (sqrt k)) (/ (pow (* n 2) 1/2) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537439734.427 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* n 2) 1/2) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439734.428 * * [misc]simplify: iters left: 6 (16 enodes) 1537439734.434 * * [misc]simplify: iters left: 5 (23 enodes) 1537439734.442 * * [misc]simplify: iters left: 4 (32 enodes) 1537439734.452 * * [misc]simplify: iters left: 3 (35 enodes) 1537439734.464 * [exit]simplify: Simplified to (* (cbrt (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) 1537439734.464 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (* (sqrt (sqrt k)) (cbrt (sqrt (pow (* n (* PI 2)) (/ k 2))))) (/ (sqrt PI) (cbrt (sqrt (pow (* n (* PI 2)) (/ k 2)))))) (* (cbrt (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2))))))) 1537439734.464 * * * * [misc]progress: [ 85 / 196 ] simplifiying candidate # 1537439734.465 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (pow PI 1/2) (sqrt (pow PI (/ k 2))))) 1537439734.466 * * [misc]simplify: iters left: 6 (12 enodes) 1537439734.471 * * [misc]simplify: iters left: 5 (15 enodes) 1537439734.473 * * [misc]simplify: iters left: 4 (18 enodes) 1537439734.476 * * [misc]simplify: iters left: 3 (20 enodes) 1537439734.480 * [exit]simplify: Simplified to (* (sqrt (pow PI (/ k 2))) (/ (sqrt (sqrt k)) (sqrt PI))) 1537439734.480 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (sqrt (pow PI (/ k 2))) (/ (sqrt (sqrt k)) (sqrt PI))) (/ (sqrt (sqrt k)) (/ (pow (* n 2) 1/2) (sqrt (pow (* n 2) (/ k 2)))))))) 1537439734.480 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* n 2) 1/2) (sqrt (pow (* n 2) (/ k 2))))) 1537439734.481 * * [misc]simplify: iters left: 6 (13 enodes) 1537439734.483 * * [misc]simplify: iters left: 5 (17 enodes) 1537439734.486 * * [misc]simplify: iters left: 4 (20 enodes) 1537439734.489 * * [misc]simplify: iters left: 3 (22 enodes) 1537439734.493 * [exit]simplify: Simplified to (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (sqrt (pow (* n 2) (/ k 2)))) 1537439734.493 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (sqrt (pow PI (/ k 2))) (/ (sqrt (sqrt k)) (sqrt PI))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (sqrt (pow (* n 2) (/ k 2))))))) 1537439734.493 * * * * [misc]progress: [ 86 / 196 ] simplifiying candidate # 1537439734.493 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (pow PI 1/2) (sqrt (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))))) 1537439734.494 * * [misc]simplify: iters left: 6 (17 enodes) 1537439734.497 * * [misc]simplify: iters left: 5 (25 enodes) 1537439734.503 * * [misc]simplify: iters left: 4 (34 enodes) 1537439734.514 * * [misc]simplify: iters left: 3 (37 enodes) 1537439734.527 * [exit]simplify: Simplified to (* (fabs (cbrt (pow (* (* PI 2) n) (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt PI))) 1537439734.527 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (fabs (cbrt (pow (* (* PI 2) n) (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt PI))) (/ (sqrt (sqrt k)) (/ (pow (* n 2) 1/2) (sqrt (cbrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537439734.527 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* n 2) 1/2) (sqrt (cbrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439734.529 * * [misc]simplify: iters left: 6 (16 enodes) 1537439734.536 * * [misc]simplify: iters left: 5 (23 enodes) 1537439734.544 * * [misc]simplify: iters left: 4 (32 enodes) 1537439734.554 * * [misc]simplify: iters left: 3 (35 enodes) 1537439734.561 * [exit]simplify: Simplified to (* (sqrt (cbrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) 1537439734.561 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (fabs (cbrt (pow (* (* PI 2) n) (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt PI))) (* (sqrt (cbrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2))))))) 1537439734.561 * * * * [misc]progress: [ 87 / 196 ] simplifiying candidate # 1537439734.561 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (pow PI 1/2) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439734.562 * * [misc]simplify: iters left: 6 (16 enodes) 1537439734.566 * * [misc]simplify: iters left: 5 (23 enodes) 1537439734.570 * * [misc]simplify: iters left: 4 (32 enodes) 1537439734.576 * * [misc]simplify: iters left: 3 (35 enodes) 1537439734.582 * [exit]simplify: Simplified to (* (sqrt (sqrt (pow (* (* 2 n) PI) (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt PI))) 1537439734.582 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (sqrt (sqrt (pow (* (* 2 n) PI) (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt PI))) (/ (sqrt (sqrt k)) (/ (pow (* n 2) 1/2) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537439734.582 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* n 2) 1/2) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439734.583 * * [misc]simplify: iters left: 6 (16 enodes) 1537439734.587 * * [misc]simplify: iters left: 5 (23 enodes) 1537439734.591 * * [misc]simplify: iters left: 4 (32 enodes) 1537439734.598 * * [misc]simplify: iters left: 3 (35 enodes) 1537439734.609 * [exit]simplify: Simplified to (* (sqrt (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) 1537439734.609 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (sqrt (sqrt (pow (* (* 2 n) PI) (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt PI))) (* (sqrt (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2))))))) 1537439734.609 * * * * [misc]progress: [ 88 / 196 ] simplifiying candidate # 1537439734.609 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (pow PI 1/2) (sqrt 1))) 1537439734.610 * * [misc]simplify: iters left: 5 (10 enodes) 1537439734.614 * * [misc]simplify: iters left: 4 (15 enodes) 1537439734.618 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt PI)) 1537439734.618 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt PI)) (/ (sqrt (sqrt k)) (/ (pow (* n 2) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))))))) 1537439734.618 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* n 2) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537439734.620 * * [misc]simplify: iters left: 6 (15 enodes) 1537439734.625 * * [misc]simplify: iters left: 5 (22 enodes) 1537439734.632 * * [misc]simplify: iters left: 4 (31 enodes) 1537439734.642 * * [misc]simplify: iters left: 3 (34 enodes) 1537439734.652 * [exit]simplify: Simplified to (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (sqrt (pow (* PI (* n 2)) (/ k 2)))) 1537439734.652 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt PI)) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (sqrt (pow (* PI (* n 2)) (/ k 2))))))) 1537439734.652 * * * * [misc]progress: [ 89 / 196 ] simplifiying candidate # 1537439734.652 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (pow PI 1/2) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439734.654 * * [misc]simplify: iters left: 6 (16 enodes) 1537439734.659 * * [misc]simplify: iters left: 5 (23 enodes) 1537439734.667 * * [misc]simplify: iters left: 4 (32 enodes) 1537439734.676 * * [misc]simplify: iters left: 3 (35 enodes) 1537439734.687 * [exit]simplify: Simplified to (* (sqrt (sqrt (pow (* (* 2 n) PI) (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt PI))) 1537439734.687 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (sqrt (sqrt (pow (* (* 2 n) PI) (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt PI))) (/ (sqrt (sqrt k)) (/ (pow (* n 2) 1/2) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537439734.687 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* n 2) 1/2) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439734.689 * * [misc]simplify: iters left: 6 (16 enodes) 1537439734.695 * * [misc]simplify: iters left: 5 (23 enodes) 1537439734.702 * * [misc]simplify: iters left: 4 (32 enodes) 1537439734.711 * * [misc]simplify: iters left: 3 (35 enodes) 1537439734.726 * [exit]simplify: Simplified to (* (sqrt (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) 1537439734.726 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (sqrt (sqrt (pow (* (* 2 n) PI) (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt PI))) (* (sqrt (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2))))))) 1537439734.726 * * * * [misc]progress: [ 90 / 196 ] simplifiying candidate # 1537439734.726 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (pow PI 1/2) 1)) 1537439734.727 * * [misc]simplify: iters left: 5 (9 enodes) 1537439734.730 * * [misc]simplify: iters left: 4 (13 enodes) 1537439734.735 * * [misc]simplify: iters left: 3 (17 enodes) 1537439734.739 * * [misc]simplify: iters left: 2 (21 enodes) 1537439734.744 * * [misc]simplify: iters left: 1 (26 enodes) 1537439734.748 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt PI)) 1537439734.748 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt PI)) (/ (sqrt (sqrt k)) (/ (pow (* n 2) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))))))) 1537439734.748 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* n 2) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537439734.749 * * [misc]simplify: iters left: 6 (15 enodes) 1537439734.752 * * [misc]simplify: iters left: 5 (22 enodes) 1537439734.756 * * [misc]simplify: iters left: 4 (31 enodes) 1537439734.761 * * [misc]simplify: iters left: 3 (34 enodes) 1537439734.767 * [exit]simplify: Simplified to (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (sqrt (pow (* PI (* n 2)) (/ k 2)))) 1537439734.767 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt PI)) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (sqrt (pow (* PI (* n 2)) (/ k 2))))))) 1537439734.767 * * * * [misc]progress: [ 91 / 196 ] simplifiying candidate # 1537439734.767 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (* (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))) 1537439734.769 * * [misc]simplify: iters left: 6 (19 enodes) 1537439734.774 * * [misc]simplify: iters left: 5 (32 enodes) 1537439734.787 * * [misc]simplify: iters left: 4 (56 enodes) 1537439734.800 * * [misc]simplify: iters left: 3 (82 enodes) 1537439734.818 * * [misc]simplify: iters left: 2 (114 enodes) 1537439734.857 * * [misc]simplify: iters left: 1 (137 enodes) 1537439734.912 * [exit]simplify: Simplified to (* (* (/ (sqrt (sqrt k)) (cbrt (sqrt (* (* PI n) 2)))) (cbrt (sqrt (pow (* (* PI n) 2) (/ k 2))))) (/ (cbrt (sqrt (pow (* (* PI n) 2) (/ k 2)))) (cbrt (sqrt (* (* PI n) 2))))) 1537439734.912 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (* (/ (sqrt (sqrt k)) (cbrt (sqrt (* (* PI n) 2)))) (cbrt (sqrt (pow (* (* PI n) 2) (/ k 2))))) (/ (cbrt (sqrt (pow (* (* PI n) 2) (/ k 2)))) (cbrt (sqrt (* (* PI n) 2))))) (/ (sqrt (sqrt k)) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537439734.912 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439734.913 * * [misc]simplify: iters left: 6 (17 enodes) 1537439734.916 * * [misc]simplify: iters left: 5 (24 enodes) 1537439734.922 * * [misc]simplify: iters left: 4 (33 enodes) 1537439734.931 * * [misc]simplify: iters left: 3 (37 enodes) 1537439734.943 * [exit]simplify: Simplified to (* (/ (sqrt (sqrt k)) (cbrt (sqrt (* n (* PI 2))))) (cbrt (sqrt (pow (* n (* PI 2)) (/ k 2))))) 1537439734.944 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (* (/ (sqrt (sqrt k)) (cbrt (sqrt (* (* PI n) 2)))) (cbrt (sqrt (pow (* (* PI n) 2) (/ k 2))))) (/ (cbrt (sqrt (pow (* (* PI n) 2) (/ k 2)))) (cbrt (sqrt (* (* PI n) 2))))) (* (/ (sqrt (sqrt k)) (cbrt (sqrt (* n (* PI 2))))) (cbrt (sqrt (pow (* n (* PI 2)) (/ k 2)))))))) 1537439734.944 * * * * [misc]progress: [ 92 / 196 ] simplifiying candidate # 1537439734.944 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (sqrt (pow PI (/ k 2))))) 1537439734.946 * * [misc]simplify: iters left: 6 (17 enodes) 1537439734.952 * * [misc]simplify: iters left: 5 (26 enodes) 1537439734.961 * * [misc]simplify: iters left: 4 (39 enodes) 1537439734.977 * * [misc]simplify: iters left: 3 (53 enodes) 1537439734.985 * * [misc]simplify: iters left: 2 (58 enodes) 1537439734.994 * * [misc]simplify: iters left: 1 (65 enodes) 1537439735.007 * [exit]simplify: Simplified to (* (/ (sqrt (sqrt k)) (cbrt (sqrt (* n (* PI 2))))) (/ (sqrt (pow PI (/ k 2))) (cbrt (sqrt (* n (* PI 2)))))) 1537439735.007 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (cbrt (sqrt (* n (* PI 2))))) (/ (sqrt (pow PI (/ k 2))) (cbrt (sqrt (* n (* PI 2)))))) (/ (sqrt (sqrt k)) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* n 2) (/ k 2)))))))) 1537439735.007 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* n 2) (/ k 2))))) 1537439735.008 * * [misc]simplify: iters left: 6 (16 enodes) 1537439735.011 * * [misc]simplify: iters left: 5 (23 enodes) 1537439735.016 * * [misc]simplify: iters left: 4 (32 enodes) 1537439735.027 * * [misc]simplify: iters left: 3 (35 enodes) 1537439735.038 * [exit]simplify: Simplified to (/ (* (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ k 2)))) (cbrt (sqrt (* (* PI 2) n)))) 1537439735.038 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (cbrt (sqrt (* n (* PI 2))))) (/ (sqrt (pow PI (/ k 2))) (cbrt (sqrt (* n (* PI 2)))))) (/ (* (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ k 2)))) (cbrt (sqrt (* (* PI 2) n))))))) 1537439735.038 * * * * [misc]progress: [ 93 / 196 ] simplifiying candidate # 1537439735.039 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (sqrt (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))))) 1537439735.041 * * [misc]simplify: iters left: 6 (19 enodes) 1537439735.048 * * [misc]simplify: iters left: 5 (29 enodes) 1537439735.060 * * [misc]simplify: iters left: 4 (42 enodes) 1537439735.075 * * [misc]simplify: iters left: 3 (55 enodes) 1537439735.083 * * [misc]simplify: iters left: 2 (60 enodes) 1537439735.092 * * [misc]simplify: iters left: 1 (67 enodes) 1537439735.107 * [exit]simplify: Simplified to (* (/ (/ (sqrt (sqrt k)) (cbrt (sqrt (* 2 (* PI n))))) (cbrt (sqrt (* 2 (* PI n))))) (fabs (cbrt (pow (* 2 (* PI n)) (/ k 2))))) 1537439735.107 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ (/ (sqrt (sqrt k)) (cbrt (sqrt (* 2 (* PI n))))) (cbrt (sqrt (* 2 (* PI n))))) (fabs (cbrt (pow (* 2 (* PI n)) (/ k 2))))) (/ (sqrt (sqrt k)) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (cbrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537439735.107 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (cbrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439735.109 * * [misc]simplify: iters left: 6 (17 enodes) 1537439735.115 * * [misc]simplify: iters left: 5 (24 enodes) 1537439735.125 * * [misc]simplify: iters left: 4 (33 enodes) 1537439735.135 * * [misc]simplify: iters left: 3 (37 enodes) 1537439735.149 * [exit]simplify: Simplified to (* (/ (sqrt (sqrt k)) (cbrt (sqrt (* n (* PI 2))))) (sqrt (cbrt (pow (* n (* PI 2)) (/ k 2))))) 1537439735.149 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ (/ (sqrt (sqrt k)) (cbrt (sqrt (* 2 (* PI n))))) (cbrt (sqrt (* 2 (* PI n))))) (fabs (cbrt (pow (* 2 (* PI n)) (/ k 2))))) (* (/ (sqrt (sqrt k)) (cbrt (sqrt (* n (* PI 2))))) (sqrt (cbrt (pow (* n (* PI 2)) (/ k 2)))))))) 1537439735.149 * * * * [misc]progress: [ 94 / 196 ] simplifiying candidate # 1537439735.150 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439735.152 * * [misc]simplify: iters left: 6 (18 enodes) 1537439735.159 * * [misc]simplify: iters left: 5 (27 enodes) 1537439735.170 * * [misc]simplify: iters left: 4 (40 enodes) 1537439735.185 * * [misc]simplify: iters left: 3 (53 enodes) 1537439735.201 * * [misc]simplify: iters left: 2 (58 enodes) 1537439735.216 * * [misc]simplify: iters left: 1 (65 enodes) 1537439735.246 * [exit]simplify: Simplified to (* (/ (sqrt (sqrt k)) (* (cbrt (sqrt (* (* PI 2) n))) (cbrt (sqrt (* (* PI 2) n))))) (sqrt (sqrt (pow (* (* PI 2) n) (/ k 2))))) 1537439735.246 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (* (cbrt (sqrt (* (* PI 2) n))) (cbrt (sqrt (* (* PI 2) n))))) (sqrt (sqrt (pow (* (* PI 2) n) (/ k 2))))) (/ (sqrt (sqrt k)) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537439735.247 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439735.248 * * [misc]simplify: iters left: 6 (17 enodes) 1537439735.255 * * [misc]simplify: iters left: 5 (24 enodes) 1537439735.263 * * [misc]simplify: iters left: 4 (33 enodes) 1537439735.274 * * [misc]simplify: iters left: 3 (37 enodes) 1537439735.287 * [exit]simplify: Simplified to (* (/ (sqrt (sqrt k)) (cbrt (sqrt (* n (* PI 2))))) (sqrt (sqrt (pow (* n (* PI 2)) (/ k 2))))) 1537439735.287 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (* (cbrt (sqrt (* (* PI 2) n))) (cbrt (sqrt (* (* PI 2) n))))) (sqrt (sqrt (pow (* (* PI 2) n) (/ k 2))))) (* (/ (sqrt (sqrt k)) (cbrt (sqrt (* n (* PI 2))))) (sqrt (sqrt (pow (* n (* PI 2)) (/ k 2)))))))) 1537439735.287 * * * * [misc]progress: [ 95 / 196 ] simplifiying candidate # 1537439735.288 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (sqrt 1))) 1537439735.289 * * [misc]simplify: iters left: 6 (16 enodes) 1537439735.297 * * [misc]simplify: iters left: 5 (27 enodes) 1537439735.306 * * [misc]simplify: iters left: 4 (37 enodes) 1537439735.316 * * [misc]simplify: iters left: 3 (52 enodes) 1537439735.327 * * [misc]simplify: iters left: 2 (95 enodes) 1537439735.356 * * [misc]simplify: iters left: 1 (124 enodes) 1537439735.375 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (sqrt (* (* PI 2) n))) (cbrt (sqrt (* (* PI 2) n))))) 1537439735.376 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt (sqrt k)) (* (cbrt (sqrt (* (* PI 2) n))) (cbrt (sqrt (* (* PI 2) n))))) (/ (sqrt (sqrt k)) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))))))) 1537439735.376 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537439735.377 * * [misc]simplify: iters left: 6 (16 enodes) 1537439735.380 * * [misc]simplify: iters left: 5 (23 enodes) 1537439735.384 * * [misc]simplify: iters left: 4 (32 enodes) 1537439735.389 * * [misc]simplify: iters left: 3 (35 enodes) 1537439735.396 * [exit]simplify: Simplified to (/ (* (sqrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (/ k 2)))) (cbrt (sqrt (* (* PI 2) n)))) 1537439735.396 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt (sqrt k)) (* (cbrt (sqrt (* (* PI 2) n))) (cbrt (sqrt (* (* PI 2) n))))) (/ (* (sqrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (/ k 2)))) (cbrt (sqrt (* (* PI 2) n))))))) 1537439735.396 * * * * [misc]progress: [ 96 / 196 ] simplifiying candidate # 1537439735.396 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439735.397 * * [misc]simplify: iters left: 6 (18 enodes) 1537439735.401 * * [misc]simplify: iters left: 5 (27 enodes) 1537439735.406 * * [misc]simplify: iters left: 4 (40 enodes) 1537439735.415 * * [misc]simplify: iters left: 3 (53 enodes) 1537439735.433 * * [misc]simplify: iters left: 2 (58 enodes) 1537439735.449 * * [misc]simplify: iters left: 1 (65 enodes) 1537439735.476 * [exit]simplify: Simplified to (* (/ (sqrt (sqrt k)) (* (cbrt (sqrt (* (* PI 2) n))) (cbrt (sqrt (* (* PI 2) n))))) (sqrt (sqrt (pow (* (* PI 2) n) (/ k 2))))) 1537439735.476 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (* (cbrt (sqrt (* (* PI 2) n))) (cbrt (sqrt (* (* PI 2) n))))) (sqrt (sqrt (pow (* (* PI 2) n) (/ k 2))))) (/ (sqrt (sqrt k)) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537439735.476 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439735.478 * * [misc]simplify: iters left: 6 (17 enodes) 1537439735.485 * * [misc]simplify: iters left: 5 (24 enodes) 1537439735.494 * * [misc]simplify: iters left: 4 (33 enodes) 1537439735.500 * * [misc]simplify: iters left: 3 (37 enodes) 1537439735.507 * [exit]simplify: Simplified to (* (/ (sqrt (sqrt k)) (cbrt (sqrt (* n (* PI 2))))) (sqrt (sqrt (pow (* n (* PI 2)) (/ k 2))))) 1537439735.507 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (* (cbrt (sqrt (* (* PI 2) n))) (cbrt (sqrt (* (* PI 2) n))))) (sqrt (sqrt (pow (* (* PI 2) n) (/ k 2))))) (* (/ (sqrt (sqrt k)) (cbrt (sqrt (* n (* PI 2))))) (sqrt (sqrt (pow (* n (* PI 2)) (/ k 2)))))))) 1537439735.507 * * * * [misc]progress: [ 97 / 196 ] simplifiying candidate # 1537439735.507 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) 1)) 1537439735.508 * * [misc]simplify: iters left: 6 (15 enodes) 1537439735.511 * * [misc]simplify: iters left: 5 (26 enodes) 1537439735.518 * * [misc]simplify: iters left: 4 (43 enodes) 1537439735.525 * * [misc]simplify: iters left: 3 (51 enodes) 1537439735.534 * * [misc]simplify: iters left: 2 (71 enodes) 1537439735.557 * * [misc]simplify: iters left: 1 (91 enodes) 1537439735.572 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (sqrt (* n (* PI 2)))) (cbrt (sqrt (* n (* PI 2)))))) 1537439735.572 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt (sqrt k)) (* (cbrt (sqrt (* n (* PI 2)))) (cbrt (sqrt (* n (* PI 2)))))) (/ (sqrt (sqrt k)) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))))))) 1537439735.573 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537439735.573 * * [misc]simplify: iters left: 6 (16 enodes) 1537439735.576 * * [misc]simplify: iters left: 5 (23 enodes) 1537439735.581 * * [misc]simplify: iters left: 4 (32 enodes) 1537439735.586 * * [misc]simplify: iters left: 3 (35 enodes) 1537439735.592 * [exit]simplify: Simplified to (/ (* (sqrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (/ k 2)))) (cbrt (sqrt (* (* PI 2) n)))) 1537439735.592 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt (sqrt k)) (* (cbrt (sqrt (* n (* PI 2)))) (cbrt (sqrt (* n (* PI 2)))))) (/ (* (sqrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (/ k 2)))) (cbrt (sqrt (* (* PI 2) n))))))) 1537439735.592 * * * * [misc]progress: [ 98 / 196 ] simplifiying candidate # 1537439735.593 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (* (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))) 1537439735.594 * * [misc]simplify: iters left: 6 (18 enodes) 1537439735.597 * * [misc]simplify: iters left: 5 (27 enodes) 1537439735.602 * * [misc]simplify: iters left: 4 (38 enodes) 1537439735.616 * * [misc]simplify: iters left: 3 (48 enodes) 1537439735.631 * * [misc]simplify: iters left: 2 (56 enodes) 1537439735.646 * * [misc]simplify: iters left: 1 (58 enodes) 1537439735.667 * [exit]simplify: Simplified to (* (/ (sqrt (sqrt k)) (sqrt (sqrt (* (* PI 2) n)))) (* (cbrt (sqrt (pow (* (* PI 2) n) (/ k 2)))) (cbrt (sqrt (pow (* (* PI 2) n) (/ k 2)))))) 1537439735.667 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (sqrt (sqrt (* (* PI 2) n)))) (* (cbrt (sqrt (pow (* (* PI 2) n) (/ k 2)))) (cbrt (sqrt (pow (* (* PI 2) n) (/ k 2)))))) (/ (sqrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537439735.668 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439735.668 * * [misc]simplify: iters left: 6 (17 enodes) 1537439735.672 * * [misc]simplify: iters left: 5 (24 enodes) 1537439735.676 * * [misc]simplify: iters left: 4 (33 enodes) 1537439735.681 * * [misc]simplify: iters left: 3 (37 enodes) 1537439735.688 * [exit]simplify: Simplified to (* (/ (sqrt (sqrt k)) (sqrt (sqrt (* n (* PI 2))))) (cbrt (sqrt (pow (* n (* PI 2)) (/ k 2))))) 1537439735.688 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (sqrt (sqrt (* (* PI 2) n)))) (* (cbrt (sqrt (pow (* (* PI 2) n) (/ k 2)))) (cbrt (sqrt (pow (* (* PI 2) n) (/ k 2)))))) (* (/ (sqrt (sqrt k)) (sqrt (sqrt (* n (* PI 2))))) (cbrt (sqrt (pow (* n (* PI 2)) (/ k 2)))))))) 1537439735.688 * * * * [misc]progress: [ 99 / 196 ] simplifiying candidate # 1537439735.688 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow PI (/ k 2))))) 1537439735.689 * * [misc]simplify: iters left: 6 (16 enodes) 1537439735.692 * * [misc]simplify: iters left: 5 (23 enodes) 1537439735.696 * * [misc]simplify: iters left: 4 (32 enodes) 1537439735.703 * * [misc]simplify: iters left: 3 (35 enodes) 1537439735.709 * [exit]simplify: Simplified to (/ (* (sqrt (sqrt k)) (sqrt (pow PI (/ k 2)))) (sqrt (sqrt (* (* PI 2) n)))) 1537439735.709 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (* (sqrt (sqrt k)) (sqrt (pow PI (/ k 2)))) (sqrt (sqrt (* (* PI 2) n)))) (/ (sqrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* n 2) (/ k 2)))))))) 1537439735.709 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* n 2) (/ k 2))))) 1537439735.710 * * [misc]simplify: iters left: 6 (16 enodes) 1537439735.713 * * [misc]simplify: iters left: 5 (23 enodes) 1537439735.717 * * [misc]simplify: iters left: 4 (32 enodes) 1537439735.722 * * [misc]simplify: iters left: 3 (35 enodes) 1537439735.728 * [exit]simplify: Simplified to (/ (* (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ k 2)))) (sqrt (sqrt (* (* PI 2) n)))) 1537439735.728 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (* (sqrt (sqrt k)) (sqrt (pow PI (/ k 2)))) (sqrt (sqrt (* (* PI 2) n)))) (/ (* (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ k 2)))) (sqrt (sqrt (* (* PI 2) n))))))) 1537439735.728 * * * * [misc]progress: [ 100 / 196 ] simplifiying candidate # 1537439735.728 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))))) 1537439735.729 * * [misc]simplify: iters left: 6 (18 enodes) 1537439735.734 * * [misc]simplify: iters left: 5 (26 enodes) 1537439735.743 * * [misc]simplify: iters left: 4 (35 enodes) 1537439735.754 * * [misc]simplify: iters left: 3 (39 enodes) 1537439735.769 * [exit]simplify: Simplified to (* (/ (sqrt (sqrt k)) (sqrt (sqrt (* n (* PI 2))))) (fabs (cbrt (pow (* n (* PI 2)) (/ k 2))))) 1537439735.769 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (sqrt (sqrt (* n (* PI 2))))) (fabs (cbrt (pow (* n (* PI 2)) (/ k 2))))) (/ (sqrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (cbrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537439735.769 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (cbrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439735.771 * * [misc]simplify: iters left: 6 (17 enodes) 1537439735.777 * * [misc]simplify: iters left: 5 (24 enodes) 1537439735.786 * * [misc]simplify: iters left: 4 (33 enodes) 1537439735.797 * * [misc]simplify: iters left: 3 (37 enodes) 1537439735.812 * [exit]simplify: Simplified to (* (/ (sqrt (sqrt k)) (sqrt (sqrt (* n (* PI 2))))) (sqrt (cbrt (pow (* n (* PI 2)) (/ k 2))))) 1537439735.812 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (sqrt (sqrt (* n (* PI 2))))) (fabs (cbrt (pow (* n (* PI 2)) (/ k 2))))) (* (/ (sqrt (sqrt k)) (sqrt (sqrt (* n (* PI 2))))) (sqrt (cbrt (pow (* n (* PI 2)) (/ k 2)))))))) 1537439735.812 * * * * [misc]progress: [ 101 / 196 ] simplifiying candidate # 1537439735.813 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439735.815 * * [misc]simplify: iters left: 6 (17 enodes) 1537439735.821 * * [misc]simplify: iters left: 5 (24 enodes) 1537439735.830 * * [misc]simplify: iters left: 4 (33 enodes) 1537439735.836 * * [misc]simplify: iters left: 3 (37 enodes) 1537439735.843 * [exit]simplify: Simplified to (* (/ (sqrt (sqrt k)) (sqrt (sqrt (* n (* PI 2))))) (sqrt (sqrt (pow (* n (* PI 2)) (/ k 2))))) 1537439735.843 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (sqrt (sqrt (* n (* PI 2))))) (sqrt (sqrt (pow (* n (* PI 2)) (/ k 2))))) (/ (sqrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537439735.843 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439735.844 * * [misc]simplify: iters left: 6 (17 enodes) 1537439735.847 * * [misc]simplify: iters left: 5 (24 enodes) 1537439735.852 * * [misc]simplify: iters left: 4 (33 enodes) 1537439735.857 * * [misc]simplify: iters left: 3 (37 enodes) 1537439735.869 * [exit]simplify: Simplified to (* (/ (sqrt (sqrt k)) (sqrt (sqrt (* n (* PI 2))))) (sqrt (sqrt (pow (* n (* PI 2)) (/ k 2))))) 1537439735.869 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (sqrt (sqrt (* n (* PI 2))))) (sqrt (sqrt (pow (* n (* PI 2)) (/ k 2))))) (* (/ (sqrt (sqrt k)) (sqrt (sqrt (* n (* PI 2))))) (sqrt (sqrt (pow (* n (* PI 2)) (/ k 2)))))))) 1537439735.869 * * * * [misc]progress: [ 102 / 196 ] simplifiying candidate # 1537439735.869 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt 1))) 1537439735.871 * * [misc]simplify: iters left: 6 (15 enodes) 1537439735.878 * * [misc]simplify: iters left: 5 (24 enodes) 1537439735.886 * * [misc]simplify: iters left: 4 (30 enodes) 1537439735.895 * * [misc]simplify: iters left: 3 (38 enodes) 1537439735.899 * * [misc]simplify: iters left: 2 (41 enodes) 1537439735.906 * * [misc]simplify: iters left: 1 (45 enodes) 1537439735.911 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (sqrt (* n (* PI 2))))) 1537439735.911 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (sqrt (* n (* PI 2))))) (/ (sqrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))))))) 1537439735.912 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537439735.913 * * [misc]simplify: iters left: 6 (16 enodes) 1537439735.916 * * [misc]simplify: iters left: 5 (23 enodes) 1537439735.922 * * [misc]simplify: iters left: 4 (32 enodes) 1537439735.932 * * [misc]simplify: iters left: 3 (35 enodes) 1537439735.946 * [exit]simplify: Simplified to (/ (* (sqrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (/ k 2)))) (sqrt (sqrt (* (* PI 2) n)))) 1537439735.946 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (sqrt (* n (* PI 2))))) (/ (* (sqrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (/ k 2)))) (sqrt (sqrt (* (* PI 2) n))))))) 1537439735.946 * * * * [misc]progress: [ 103 / 196 ] simplifiying candidate # 1537439735.946 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439735.948 * * [misc]simplify: iters left: 6 (17 enodes) 1537439735.954 * * [misc]simplify: iters left: 5 (24 enodes) 1537439735.964 * * [misc]simplify: iters left: 4 (33 enodes) 1537439735.974 * * [misc]simplify: iters left: 3 (37 enodes) 1537439735.981 * [exit]simplify: Simplified to (* (/ (sqrt (sqrt k)) (sqrt (sqrt (* n (* PI 2))))) (sqrt (sqrt (pow (* n (* PI 2)) (/ k 2))))) 1537439735.981 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (sqrt (sqrt (* n (* PI 2))))) (sqrt (sqrt (pow (* n (* PI 2)) (/ k 2))))) (/ (sqrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537439735.982 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439735.983 * * [misc]simplify: iters left: 6 (17 enodes) 1537439735.986 * * [misc]simplify: iters left: 5 (24 enodes) 1537439735.990 * * [misc]simplify: iters left: 4 (33 enodes) 1537439735.996 * * [misc]simplify: iters left: 3 (37 enodes) 1537439736.004 * [exit]simplify: Simplified to (* (/ (sqrt (sqrt k)) (sqrt (sqrt (* n (* PI 2))))) (sqrt (sqrt (pow (* n (* PI 2)) (/ k 2))))) 1537439736.004 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (sqrt (sqrt (* n (* PI 2))))) (sqrt (sqrt (pow (* n (* PI 2)) (/ k 2))))) (* (/ (sqrt (sqrt k)) (sqrt (sqrt (* n (* PI 2))))) (sqrt (sqrt (pow (* n (* PI 2)) (/ k 2)))))))) 1537439736.004 * * * * [misc]progress: [ 104 / 196 ] simplifiying candidate # 1537439736.005 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) 1/2)) 1)) 1537439736.006 * * [misc]simplify: iters left: 6 (14 enodes) 1537439736.012 * * [misc]simplify: iters left: 5 (23 enodes) 1537439736.022 * * [misc]simplify: iters left: 4 (36 enodes) 1537439736.032 * * [misc]simplify: iters left: 3 (41 enodes) 1537439736.043 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (sqrt (* (* PI 2) n)))) 1537439736.043 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (sqrt (* (* PI 2) n)))) (/ (sqrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))))))) 1537439736.043 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537439736.044 * * [misc]simplify: iters left: 6 (16 enodes) 1537439736.047 * * [misc]simplify: iters left: 5 (23 enodes) 1537439736.051 * * [misc]simplify: iters left: 4 (32 enodes) 1537439736.057 * * [misc]simplify: iters left: 3 (35 enodes) 1537439736.063 * [exit]simplify: Simplified to (/ (* (sqrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (/ k 2)))) (sqrt (sqrt (* (* PI 2) n)))) 1537439736.063 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (sqrt (* (* PI 2) n)))) (/ (* (sqrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (/ k 2)))) (sqrt (sqrt (* (* PI 2) n))))))) 1537439736.063 * * * * [misc]progress: [ 105 / 196 ] simplifiying candidate # 1537439736.063 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ 1 (* (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))) 1537439736.064 * * [misc]simplify: iters left: 6 (16 enodes) 1537439736.068 * * [misc]simplify: iters left: 5 (26 enodes) 1537439736.074 * * [misc]simplify: iters left: 4 (37 enodes) 1537439736.088 * * [misc]simplify: iters left: 3 (52 enodes) 1537439736.105 * * [misc]simplify: iters left: 2 (61 enodes) 1537439736.125 * * [misc]simplify: iters left: 1 (71 enodes) 1537439736.148 * [exit]simplify: Simplified to (* (* (cbrt (sqrt (pow (* (* PI n) 2) (/ k 2)))) (sqrt (sqrt k))) (cbrt (sqrt (pow (* (* PI n) 2) (/ k 2))))) 1537439736.148 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (* (cbrt (sqrt (pow (* (* PI n) 2) (/ k 2)))) (sqrt (sqrt k))) (cbrt (sqrt (pow (* (* PI n) 2) (/ k 2))))) (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) 1/2) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537439736.148 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) 1/2) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439736.149 * * [misc]simplify: iters left: 6 (16 enodes) 1537439736.152 * * [misc]simplify: iters left: 5 (23 enodes) 1537439736.156 * * [misc]simplify: iters left: 4 (32 enodes) 1537439736.161 * * [misc]simplify: iters left: 3 (35 enodes) 1537439736.167 * [exit]simplify: Simplified to (* (cbrt (sqrt (pow (* (* PI 2) n) (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* (* PI 2) n)))) 1537439736.167 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (* (cbrt (sqrt (pow (* (* PI n) 2) (/ k 2)))) (sqrt (sqrt k))) (cbrt (sqrt (pow (* (* PI n) 2) (/ k 2))))) (* (cbrt (sqrt (pow (* (* PI 2) n) (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* (* PI 2) n))))))) 1537439736.168 * * * * [misc]progress: [ 106 / 196 ] simplifiying candidate # 1537439736.168 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ 1 (sqrt (pow PI (/ k 2))))) 1537439736.168 * * [misc]simplify: iters left: 6 (11 enodes) 1537439736.170 * * [misc]simplify: iters left: 5 (15 enodes) 1537439736.175 * * [misc]simplify: iters left: 4 (18 enodes) 1537439736.182 * * [misc]simplify: iters left: 3 (28 enodes) 1537439736.190 * * [misc]simplify: iters left: 2 (30 enodes) 1537439736.197 * * [misc]simplify: iters left: 1 (35 enodes) 1537439736.205 * [exit]simplify: Simplified to (* (sqrt (sqrt k)) (sqrt (pow PI (/ k 2)))) 1537439736.205 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (sqrt (sqrt k)) (sqrt (pow PI (/ k 2)))) (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* n 2) (/ k 2)))))))) 1537439736.205 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* n 2) (/ k 2))))) 1537439736.206 * * [misc]simplify: iters left: 6 (15 enodes) 1537439736.211 * * [misc]simplify: iters left: 5 (22 enodes) 1537439736.215 * * [misc]simplify: iters left: 4 (31 enodes) 1537439736.220 * * [misc]simplify: iters left: 3 (34 enodes) 1537439736.226 * [exit]simplify: Simplified to (* (/ (sqrt (sqrt k)) (sqrt (* n (* PI 2)))) (sqrt (pow (* n 2) (/ k 2)))) 1537439736.227 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (sqrt (sqrt k)) (sqrt (pow PI (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (* n (* PI 2)))) (sqrt (pow (* n 2) (/ k 2))))))) 1537439736.227 * * * * [misc]progress: [ 107 / 196 ] simplifiying candidate # 1537439736.227 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ 1 (sqrt (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))))) 1537439736.228 * * [misc]simplify: iters left: 6 (16 enodes) 1537439736.231 * * [misc]simplify: iters left: 5 (25 enodes) 1537439736.236 * * [misc]simplify: iters left: 4 (34 enodes) 1537439736.242 * * [misc]simplify: iters left: 3 (45 enodes) 1537439736.248 * * [misc]simplify: iters left: 2 (47 enodes) 1537439736.253 * * [misc]simplify: iters left: 1 (52 enodes) 1537439736.261 * [exit]simplify: Simplified to (* (fabs (cbrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k))) 1537439736.261 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (fabs (cbrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) 1/2) (sqrt (cbrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537439736.261 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) 1/2) (sqrt (cbrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439736.262 * * [misc]simplify: iters left: 6 (16 enodes) 1537439736.265 * * [misc]simplify: iters left: 5 (23 enodes) 1537439736.270 * * [misc]simplify: iters left: 4 (32 enodes) 1537439736.278 * * [misc]simplify: iters left: 3 (35 enodes) 1537439736.292 * [exit]simplify: Simplified to (* (sqrt (cbrt (pow (* (* PI 2) n) (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* (* PI 2) n)))) 1537439736.293 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (fabs (cbrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k))) (* (sqrt (cbrt (pow (* (* PI 2) n) (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* (* PI 2) n))))))) 1537439736.293 * * * * [misc]progress: [ 108 / 196 ] simplifiying candidate # 1537439736.293 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ 1 (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439736.295 * * [misc]simplify: iters left: 6 (15 enodes) 1537439736.300 * * [misc]simplify: iters left: 5 (23 enodes) 1537439736.308 * * [misc]simplify: iters left: 4 (32 enodes) 1537439736.318 * * [misc]simplify: iters left: 3 (43 enodes) 1537439736.330 * * [misc]simplify: iters left: 2 (45 enodes) 1537439736.340 * * [misc]simplify: iters left: 1 (50 enodes) 1537439736.355 * [exit]simplify: Simplified to (* (sqrt (sqrt (pow (* (* 2 PI) n) (/ k 2)))) (sqrt (sqrt k))) 1537439736.355 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (sqrt (sqrt (pow (* (* 2 PI) n) (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537439736.355 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439736.356 * * [misc]simplify: iters left: 6 (16 enodes) 1537439736.362 * * [misc]simplify: iters left: 5 (23 enodes) 1537439736.371 * * [misc]simplify: iters left: 4 (32 enodes) 1537439736.381 * * [misc]simplify: iters left: 3 (35 enodes) 1537439736.394 * [exit]simplify: Simplified to (* (sqrt (sqrt (pow (* (* PI 2) n) (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* (* PI 2) n)))) 1537439736.394 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (sqrt (sqrt (pow (* (* 2 PI) n) (/ k 2)))) (sqrt (sqrt k))) (* (sqrt (sqrt (pow (* (* PI 2) n) (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* (* PI 2) n))))))) 1537439736.394 * * * * [misc]progress: [ 109 / 196 ] simplifiying candidate # 1537439736.394 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ 1 (sqrt 1))) 1537439736.395 * * [misc]simplify: iters left: 5 (7 enodes) 1537439736.399 * * [misc]simplify: iters left: 4 (11 enodes) 1537439736.400 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1537439736.400 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))))))) 1537439736.401 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537439736.401 * * [misc]simplify: iters left: 6 (15 enodes) 1537439736.404 * * [misc]simplify: iters left: 5 (22 enodes) 1537439736.409 * * [misc]simplify: iters left: 4 (31 enodes) 1537439736.415 * * [misc]simplify: iters left: 3 (34 enodes) 1537439736.421 * [exit]simplify: Simplified to (* (/ (sqrt (sqrt k)) (sqrt (* n (* PI 2)))) (sqrt (pow (* n (* PI 2)) (/ k 2)))) 1537439736.421 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (sqrt (sqrt k)) (* (/ (sqrt (sqrt k)) (sqrt (* n (* PI 2)))) (sqrt (pow (* n (* PI 2)) (/ k 2))))))) 1537439736.421 * * * * [misc]progress: [ 110 / 196 ] simplifiying candidate # 1537439736.421 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ 1 (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439736.422 * * [misc]simplify: iters left: 6 (15 enodes) 1537439736.425 * * [misc]simplify: iters left: 5 (23 enodes) 1537439736.429 * * [misc]simplify: iters left: 4 (32 enodes) 1537439736.436 * * [misc]simplify: iters left: 3 (43 enodes) 1537439736.442 * * [misc]simplify: iters left: 2 (45 enodes) 1537439736.447 * * [misc]simplify: iters left: 1 (50 enodes) 1537439736.455 * [exit]simplify: Simplified to (* (sqrt (sqrt (pow (* (* 2 PI) n) (/ k 2)))) (sqrt (sqrt k))) 1537439736.455 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (sqrt (sqrt (pow (* (* 2 PI) n) (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537439736.455 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439736.456 * * [misc]simplify: iters left: 6 (16 enodes) 1537439736.459 * * [misc]simplify: iters left: 5 (23 enodes) 1537439736.463 * * [misc]simplify: iters left: 4 (32 enodes) 1537439736.469 * * [misc]simplify: iters left: 3 (35 enodes) 1537439736.476 * [exit]simplify: Simplified to (* (sqrt (sqrt (pow (* (* PI 2) n) (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* (* PI 2) n)))) 1537439736.476 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (sqrt (sqrt (pow (* (* 2 PI) n) (/ k 2)))) (sqrt (sqrt k))) (* (sqrt (sqrt (pow (* (* PI 2) n) (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* (* PI 2) n))))))) 1537439736.476 * * * * [misc]progress: [ 111 / 196 ] simplifiying candidate # 1537439736.476 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ 1 1)) 1537439736.477 * * [misc]simplify: iters left: 4 (6 enodes) 1537439736.479 * * [misc]simplify: iters left: 3 (8 enodes) 1537439736.481 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1537439736.481 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))))))) 1537439736.481 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537439736.483 * * [misc]simplify: iters left: 6 (15 enodes) 1537439736.491 * * [misc]simplify: iters left: 5 (22 enodes) 1537439736.498 * * [misc]simplify: iters left: 4 (31 enodes) 1537439736.507 * * [misc]simplify: iters left: 3 (34 enodes) 1537439736.513 * [exit]simplify: Simplified to (* (/ (sqrt (sqrt k)) (sqrt (* n (* PI 2)))) (sqrt (pow (* n (* PI 2)) (/ k 2)))) 1537439736.513 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (sqrt (sqrt k)) (* (/ (sqrt (sqrt k)) (sqrt (* n (* PI 2)))) (sqrt (pow (* n (* PI 2)) (/ k 2))))))) 1537439736.513 * * * * [misc]progress: [ 112 / 196 ] simplifiying candidate # 1537439736.513 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) 1537439736.514 * * [misc]simplify: iters left: 4 (5 enodes) 1537439736.515 * * [misc]simplify: iters left: 3 (7 enodes) 1537439736.516 * * [misc]simplify: iters left: 2 (9 enodes) 1537439736.517 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1537439736.517 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))))))) 1537439736.517 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537439736.518 * * [misc]simplify: iters left: 6 (15 enodes) 1537439736.521 * * [misc]simplify: iters left: 5 (22 enodes) 1537439736.526 * * [misc]simplify: iters left: 4 (31 enodes) 1537439736.530 * * [misc]simplify: iters left: 3 (34 enodes) 1537439736.536 * [exit]simplify: Simplified to (* (/ (sqrt (sqrt k)) (sqrt (* n (* PI 2)))) (sqrt (pow (* n (* PI 2)) (/ k 2)))) 1537439736.536 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (sqrt (sqrt k)) (* (/ (sqrt (sqrt k)) (sqrt (* n (* PI 2)))) (sqrt (pow (* n (* PI 2)) (/ k 2))))))) 1537439736.536 * * * * [misc]progress: [ 113 / 196 ] simplifiying candidate # 1537439736.537 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) 1/2)) 1537439736.537 * * [misc]simplify: iters left: 6 (11 enodes) 1537439736.540 * * [misc]simplify: iters left: 5 (16 enodes) 1537439736.543 * * [misc]simplify: iters left: 4 (22 enodes) 1537439736.546 * * [misc]simplify: iters left: 3 (23 enodes) 1537439736.553 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) 1537439736.553 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) (/ (sqrt (sqrt k)) (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))))))) 1537439736.553 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537439736.555 * * [misc]simplify: iters left: 6 (14 enodes) 1537439736.560 * * [misc]simplify: iters left: 5 (22 enodes) 1537439736.569 * * [misc]simplify: iters left: 4 (31 enodes) 1537439736.581 * * [misc]simplify: iters left: 3 (42 enodes) 1537439736.592 * * [misc]simplify: iters left: 2 (44 enodes) 1537439736.597 * * [misc]simplify: iters left: 1 (49 enodes) 1537439736.604 * [exit]simplify: Simplified to (* (sqrt (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))) 1537439736.604 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) (* (sqrt (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))) 1537439736.604 * * * * [misc]progress: [ 114 / 196 ] simplifiying candidate # 1537439736.604 * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))) (cbrt (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))))) 1537439736.605 * * [misc]simplify: iters left: 6 (16 enodes) 1537439736.609 * * [misc]simplify: iters left: 5 (25 enodes) 1537439736.613 * * [misc]simplify: iters left: 4 (31 enodes) 1537439736.618 * * [misc]simplify: iters left: 3 (32 enodes) 1537439736.624 * [exit]simplify: Simplified to (/ 1 (* (cbrt (/ (sqrt (* 2 (* n PI))) (sqrt (pow (* 2 (* n PI)) (/ k 2))))) (cbrt (/ (sqrt (* 2 (* n PI))) (sqrt (pow (* 2 (* n PI)) (/ k 2))))))) 1537439736.624 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ 1 (* (cbrt (/ (sqrt (* 2 (* n PI))) (sqrt (pow (* 2 (* n PI)) (/ k 2))))) (cbrt (/ (sqrt (* 2 (* n PI))) (sqrt (pow (* 2 (* n PI)) (/ k 2))))))) (/ (sqrt k) (cbrt (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537439736.624 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439736.625 * * [misc]simplify: iters left: 6 (15 enodes) 1537439736.630 * * [misc]simplify: iters left: 5 (20 enodes) 1537439736.637 * * [misc]simplify: iters left: 4 (26 enodes) 1537439736.645 * * [misc]simplify: iters left: 3 (28 enodes) 1537439736.655 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (/ (sqrt (* PI (* n 2))) (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439736.655 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ 1 (* (cbrt (/ (sqrt (* 2 (* n PI))) (sqrt (pow (* 2 (* n PI)) (/ k 2))))) (cbrt (/ (sqrt (* 2 (* n PI))) (sqrt (pow (* 2 (* n PI)) (/ k 2))))))) (/ (sqrt k) (cbrt (/ (sqrt (* PI (* n 2))) (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537439736.655 * * * * [misc]progress: [ 115 / 196 ] simplifiying candidate # 1537439736.655 * [enter]simplify: Simplifying (/ 1 (sqrt (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439736.656 * * [misc]simplify: iters left: 6 (15 enodes) 1537439736.659 * * [misc]simplify: iters left: 5 (22 enodes) 1537439736.663 * * [misc]simplify: iters left: 4 (28 enodes) 1537439736.667 * * [misc]simplify: iters left: 3 (29 enodes) 1537439736.672 * [exit]simplify: Simplified to (/ 1 (sqrt (/ (sqrt (* n (* 2 PI))) (sqrt (pow (* n (* 2 PI)) (/ k 2)))))) 1537439736.672 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ 1 (sqrt (/ (sqrt (* n (* 2 PI))) (sqrt (pow (* n (* 2 PI)) (/ k 2)))))) (/ (sqrt k) (sqrt (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537439736.672 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439736.675 * * [misc]simplify: iters left: 6 (15 enodes) 1537439736.678 * * [misc]simplify: iters left: 5 (20 enodes) 1537439736.681 * * [misc]simplify: iters left: 4 (26 enodes) 1537439736.685 * * [misc]simplify: iters left: 3 (28 enodes) 1537439736.690 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (/ (sqrt (* PI (* n 2))) (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439736.690 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ 1 (sqrt (/ (sqrt (* n (* 2 PI))) (sqrt (pow (* n (* 2 PI)) (/ k 2)))))) (/ (sqrt k) (sqrt (/ (sqrt (* PI (* n 2))) (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537439736.690 * * * * [misc]progress: [ 116 / 196 ] simplifiying candidate # 1537439736.691 * [enter]simplify: Simplifying (/ 1 (/ (pow PI 1/2) (* (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))) 1537439736.692 * * [misc]simplify: iters left: 6 (16 enodes) 1537439736.698 * * [misc]simplify: iters left: 5 (27 enodes) 1537439736.708 * * [misc]simplify: iters left: 4 (38 enodes) 1537439736.722 * * [misc]simplify: iters left: 3 (50 enodes) 1537439736.738 * * [misc]simplify: iters left: 2 (76 enodes) 1537439736.754 * * [misc]simplify: iters left: 1 (108 enodes) 1537439736.775 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (pow (* (* 2 PI) n) (/ k 2)))) (sqrt PI)) (cbrt (sqrt (pow (* (* 2 PI) n) (/ k 2))))) 1537439736.775 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ (cbrt (sqrt (pow (* (* 2 PI) n) (/ k 2)))) (sqrt PI)) (cbrt (sqrt (pow (* (* 2 PI) n) (/ k 2))))) (/ (sqrt k) (/ (pow (* n 2) 1/2) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537439736.775 * [enter]simplify: Simplifying (/ (sqrt k) (/ (pow (* n 2) 1/2) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439736.776 * * [misc]simplify: iters left: 6 (15 enodes) 1537439736.779 * * [misc]simplify: iters left: 5 (22 enodes) 1537439736.783 * * [misc]simplify: iters left: 4 (31 enodes) 1537439736.789 * * [misc]simplify: iters left: 3 (34 enodes) 1537439736.799 * [exit]simplify: Simplified to (* (/ (sqrt k) (sqrt (* n 2))) (cbrt (sqrt (pow (* 2 (* PI n)) (/ k 2))))) 1537439736.799 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ (cbrt (sqrt (pow (* (* 2 PI) n) (/ k 2)))) (sqrt PI)) (cbrt (sqrt (pow (* (* 2 PI) n) (/ k 2))))) (* (/ (sqrt k) (sqrt (* n 2))) (cbrt (sqrt (pow (* 2 (* PI n)) (/ k 2)))))))) 1537439736.799 * * * * [misc]progress: [ 117 / 196 ] simplifiying candidate # 1537439736.800 * [enter]simplify: Simplifying (/ 1 (/ (pow PI 1/2) (sqrt (pow PI (/ k 2))))) 1537439736.801 * * [misc]simplify: iters left: 6 (11 enodes) 1537439736.804 * * [misc]simplify: iters left: 5 (16 enodes) 1537439736.809 * * [misc]simplify: iters left: 4 (19 enodes) 1537439736.815 * * [misc]simplify: iters left: 3 (27 enodes) 1537439736.824 * * [misc]simplify: iters left: 2 (35 enodes) 1537439736.832 * * [misc]simplify: iters left: 1 (39 enodes) 1537439736.841 * [exit]simplify: Simplified to (/ (sqrt (pow PI (/ k 2))) (sqrt PI)) 1537439736.841 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt (pow PI (/ k 2))) (sqrt PI)) (/ (sqrt k) (/ (pow (* n 2) 1/2) (sqrt (pow (* n 2) (/ k 2)))))))) 1537439736.841 * [enter]simplify: Simplifying (/ (sqrt k) (/ (pow (* n 2) 1/2) (sqrt (pow (* n 2) (/ k 2))))) 1537439736.842 * * [misc]simplify: iters left: 6 (12 enodes) 1537439736.845 * * [misc]simplify: iters left: 5 (16 enodes) 1537439736.847 * * [misc]simplify: iters left: 4 (19 enodes) 1537439736.850 * * [misc]simplify: iters left: 3 (21 enodes) 1537439736.854 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (/ k 2))) (/ (sqrt k) (sqrt (* n 2)))) 1537439736.854 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt (pow PI (/ k 2))) (sqrt PI)) (* (sqrt (pow (* n 2) (/ k 2))) (/ (sqrt k) (sqrt (* n 2))))))) 1537439736.854 * * * * [misc]progress: [ 118 / 196 ] simplifiying candidate # 1537439736.854 * [enter]simplify: Simplifying (/ 1 (/ (pow PI 1/2) (sqrt (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))))) 1537439736.855 * * [misc]simplify: iters left: 6 (16 enodes) 1537439736.860 * * [misc]simplify: iters left: 5 (26 enodes) 1537439736.864 * * [misc]simplify: iters left: 4 (35 enodes) 1537439736.870 * * [misc]simplify: iters left: 3 (39 enodes) 1537439736.877 * * [misc]simplify: iters left: 2 (51 enodes) 1537439736.883 * * [misc]simplify: iters left: 1 (52 enodes) 1537439736.890 * [exit]simplify: Simplified to (/ (fabs (cbrt (pow (* n (* 2 PI)) (/ k 2)))) (sqrt PI)) 1537439736.890 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (fabs (cbrt (pow (* n (* 2 PI)) (/ k 2)))) (sqrt PI)) (/ (sqrt k) (/ (pow (* n 2) 1/2) (sqrt (cbrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537439736.890 * [enter]simplify: Simplifying (/ (sqrt k) (/ (pow (* n 2) 1/2) (sqrt (cbrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439736.891 * * [misc]simplify: iters left: 6 (15 enodes) 1537439736.894 * * [misc]simplify: iters left: 5 (22 enodes) 1537439736.901 * * [misc]simplify: iters left: 4 (31 enodes) 1537439736.910 * * [misc]simplify: iters left: 3 (34 enodes) 1537439736.920 * [exit]simplify: Simplified to (* (/ (sqrt k) (sqrt (* n 2))) (sqrt (cbrt (pow (* 2 (* PI n)) (/ k 2))))) 1537439736.920 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (fabs (cbrt (pow (* n (* 2 PI)) (/ k 2)))) (sqrt PI)) (* (/ (sqrt k) (sqrt (* n 2))) (sqrt (cbrt (pow (* 2 (* PI n)) (/ k 2)))))))) 1537439736.920 * * * * [misc]progress: [ 119 / 196 ] simplifiying candidate # 1537439736.920 * [enter]simplify: Simplifying (/ 1 (/ (pow PI 1/2) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439736.922 * * [misc]simplify: iters left: 6 (15 enodes) 1537439736.927 * * [misc]simplify: iters left: 5 (24 enodes) 1537439736.935 * * [misc]simplify: iters left: 4 (33 enodes) 1537439736.944 * * [misc]simplify: iters left: 3 (43 enodes) 1537439736.957 * * [misc]simplify: iters left: 2 (51 enodes) 1537439736.963 * * [misc]simplify: iters left: 1 (55 enodes) 1537439736.970 * [exit]simplify: Simplified to (/ (sqrt (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (sqrt PI)) 1537439736.970 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (sqrt PI)) (/ (sqrt k) (/ (pow (* n 2) 1/2) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537439736.970 * [enter]simplify: Simplifying (/ (sqrt k) (/ (pow (* n 2) 1/2) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439736.971 * * [misc]simplify: iters left: 6 (15 enodes) 1537439736.974 * * [misc]simplify: iters left: 5 (22 enodes) 1537439736.978 * * [misc]simplify: iters left: 4 (31 enodes) 1537439736.987 * * [misc]simplify: iters left: 3 (34 enodes) 1537439736.997 * [exit]simplify: Simplified to (* (/ (sqrt k) (sqrt (* n 2))) (sqrt (sqrt (pow (* 2 (* PI n)) (/ k 2))))) 1537439736.997 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (sqrt PI)) (* (/ (sqrt k) (sqrt (* n 2))) (sqrt (sqrt (pow (* 2 (* PI n)) (/ k 2)))))))) 1537439736.997 * * * * [misc]progress: [ 120 / 196 ] simplifiying candidate # 1537439736.998 * [enter]simplify: Simplifying (/ 1 (/ (pow PI 1/2) (sqrt 1))) 1537439736.998 * * [misc]simplify: iters left: 5 (7 enodes) 1537439737.000 * * [misc]simplify: iters left: 4 (12 enodes) 1537439737.002 * [exit]simplify: Simplified to (/ 1 (sqrt PI)) 1537439737.002 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ 1 (sqrt PI)) (/ (sqrt k) (/ (pow (* n 2) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))))))) 1537439737.002 * [enter]simplify: Simplifying (/ (sqrt k) (/ (pow (* n 2) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537439737.003 * * [misc]simplify: iters left: 6 (14 enodes) 1537439737.006 * * [misc]simplify: iters left: 5 (21 enodes) 1537439737.010 * * [misc]simplify: iters left: 4 (30 enodes) 1537439737.015 * * [misc]simplify: iters left: 3 (33 enodes) 1537439737.020 * [exit]simplify: Simplified to (* (sqrt (pow (* (* PI n) 2) (/ k 2))) (/ (sqrt k) (sqrt (* n 2)))) 1537439737.020 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ 1 (sqrt PI)) (* (sqrt (pow (* (* PI n) 2) (/ k 2))) (/ (sqrt k) (sqrt (* n 2))))))) 1537439737.020 * * * * [misc]progress: [ 121 / 196 ] simplifiying candidate # 1537439737.020 * [enter]simplify: Simplifying (/ 1 (/ (pow PI 1/2) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439737.021 * * [misc]simplify: iters left: 6 (15 enodes) 1537439737.024 * * [misc]simplify: iters left: 5 (24 enodes) 1537439737.029 * * [misc]simplify: iters left: 4 (33 enodes) 1537439737.039 * * [misc]simplify: iters left: 3 (43 enodes) 1537439737.054 * * [misc]simplify: iters left: 2 (51 enodes) 1537439737.067 * * [misc]simplify: iters left: 1 (55 enodes) 1537439737.081 * [exit]simplify: Simplified to (/ (sqrt (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (sqrt PI)) 1537439737.081 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (sqrt PI)) (/ (sqrt k) (/ (pow (* n 2) 1/2) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537439737.081 * [enter]simplify: Simplifying (/ (sqrt k) (/ (pow (* n 2) 1/2) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439737.083 * * [misc]simplify: iters left: 6 (15 enodes) 1537439737.089 * * [misc]simplify: iters left: 5 (22 enodes) 1537439737.097 * * [misc]simplify: iters left: 4 (31 enodes) 1537439737.103 * * [misc]simplify: iters left: 3 (34 enodes) 1537439737.109 * [exit]simplify: Simplified to (* (/ (sqrt k) (sqrt (* n 2))) (sqrt (sqrt (pow (* 2 (* PI n)) (/ k 2))))) 1537439737.109 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (sqrt PI)) (* (/ (sqrt k) (sqrt (* n 2))) (sqrt (sqrt (pow (* 2 (* PI n)) (/ k 2)))))))) 1537439737.109 * * * * [misc]progress: [ 122 / 196 ] simplifiying candidate # 1537439737.109 * [enter]simplify: Simplifying (/ 1 (/ (pow PI 1/2) 1)) 1537439737.110 * * [misc]simplify: iters left: 5 (6 enodes) 1537439737.111 * * [misc]simplify: iters left: 4 (10 enodes) 1537439737.114 * * [misc]simplify: iters left: 3 (14 enodes) 1537439737.115 * [exit]simplify: Simplified to (/ 1 (sqrt PI)) 1537439737.115 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ 1 (sqrt PI)) (/ (sqrt k) (/ (pow (* n 2) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))))))) 1537439737.115 * [enter]simplify: Simplifying (/ (sqrt k) (/ (pow (* n 2) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537439737.116 * * [misc]simplify: iters left: 6 (14 enodes) 1537439737.119 * * [misc]simplify: iters left: 5 (21 enodes) 1537439737.124 * * [misc]simplify: iters left: 4 (30 enodes) 1537439737.128 * * [misc]simplify: iters left: 3 (33 enodes) 1537439737.134 * [exit]simplify: Simplified to (* (sqrt (pow (* (* PI n) 2) (/ k 2))) (/ (sqrt k) (sqrt (* n 2)))) 1537439737.134 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ 1 (sqrt PI)) (* (sqrt (pow (* (* PI n) 2) (/ k 2))) (/ (sqrt k) (sqrt (* n 2))))))) 1537439737.134 * * * * [misc]progress: [ 123 / 196 ] simplifiying candidate # 1537439737.134 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (* (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))) 1537439737.137 * * [misc]simplify: iters left: 6 (18 enodes) 1537439737.142 * * [misc]simplify: iters left: 5 (33 enodes) 1537439737.156 * * [misc]simplify: iters left: 4 (57 enodes) 1537439737.169 * * [misc]simplify: iters left: 3 (79 enodes) 1537439737.192 * * [misc]simplify: iters left: 2 (180 enodes) 1537439737.366 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (pow (* 2 (* n PI)) (/ k 2)))) (cbrt (sqrt (* 2 (* n PI))))) (/ (cbrt (sqrt (pow (* 2 (* n PI)) (/ k 2)))) (cbrt (sqrt (* 2 (* n PI)))))) 1537439737.366 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ (cbrt (sqrt (pow (* 2 (* n PI)) (/ k 2)))) (cbrt (sqrt (* 2 (* n PI))))) (/ (cbrt (sqrt (pow (* 2 (* n PI)) (/ k 2)))) (cbrt (sqrt (* 2 (* n PI)))))) (/ (sqrt k) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537439737.366 * [enter]simplify: Simplifying (/ (sqrt k) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439737.368 * * [misc]simplify: iters left: 6 (16 enodes) 1537439737.374 * * [misc]simplify: iters left: 5 (23 enodes) 1537439737.379 * * [misc]simplify: iters left: 4 (32 enodes) 1537439737.384 * * [misc]simplify: iters left: 3 (36 enodes) 1537439737.390 * [exit]simplify: Simplified to (* (cbrt (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (sqrt k) (cbrt (sqrt (* n (* 2 PI)))))) 1537439737.390 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ (cbrt (sqrt (pow (* 2 (* n PI)) (/ k 2)))) (cbrt (sqrt (* 2 (* n PI))))) (/ (cbrt (sqrt (pow (* 2 (* n PI)) (/ k 2)))) (cbrt (sqrt (* 2 (* n PI)))))) (* (cbrt (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (sqrt k) (cbrt (sqrt (* n (* 2 PI))))))))) 1537439737.390 * * * * [misc]progress: [ 124 / 196 ] simplifiying candidate # 1537439737.391 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (sqrt (pow PI (/ k 2))))) 1537439737.391 * * [misc]simplify: iters left: 6 (16 enodes) 1537439737.395 * * [misc]simplify: iters left: 5 (27 enodes) 1537439737.402 * * [misc]simplify: iters left: 4 (40 enodes) 1537439737.410 * * [misc]simplify: iters left: 3 (61 enodes) 1537439737.432 * * [misc]simplify: iters left: 2 (101 enodes) 1537439737.470 * * [misc]simplify: iters left: 1 (187 enodes) 1537439737.567 * [exit]simplify: Simplified to (/ (/ (sqrt (pow PI (/ k 2))) (cbrt (sqrt (* 2 (* n PI))))) (cbrt (sqrt (* 2 (* n PI))))) 1537439737.568 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (/ (sqrt (pow PI (/ k 2))) (cbrt (sqrt (* 2 (* n PI))))) (cbrt (sqrt (* 2 (* n PI))))) (/ (sqrt k) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* n 2) (/ k 2)))))))) 1537439737.568 * [enter]simplify: Simplifying (/ (sqrt k) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* n 2) (/ k 2))))) 1537439737.569 * * [misc]simplify: iters left: 6 (15 enodes) 1537439737.572 * * [misc]simplify: iters left: 5 (22 enodes) 1537439737.576 * * [misc]simplify: iters left: 4 (31 enodes) 1537439737.590 * * [misc]simplify: iters left: 3 (35 enodes) 1537439737.600 * [exit]simplify: Simplified to (/ (* (sqrt k) (sqrt (pow (* n 2) (/ k 2)))) (cbrt (sqrt (* PI (* n 2))))) 1537439737.601 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (/ (sqrt (pow PI (/ k 2))) (cbrt (sqrt (* 2 (* n PI))))) (cbrt (sqrt (* 2 (* n PI))))) (/ (* (sqrt k) (sqrt (pow (* n 2) (/ k 2)))) (cbrt (sqrt (* PI (* n 2)))))))) 1537439737.601 * * * * [misc]progress: [ 125 / 196 ] simplifiying candidate # 1537439737.601 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (sqrt (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))))) 1537439737.602 * * [misc]simplify: iters left: 6 (18 enodes) 1537439737.606 * * [misc]simplify: iters left: 5 (30 enodes) 1537439737.611 * * [misc]simplify: iters left: 4 (43 enodes) 1537439737.618 * * [misc]simplify: iters left: 3 (54 enodes) 1537439737.630 * * [misc]simplify: iters left: 2 (79 enodes) 1537439737.648 * * [misc]simplify: iters left: 1 (104 enodes) 1537439737.694 * [exit]simplify: Simplified to (/ (fabs (cbrt (pow (* PI (* n 2)) (/ k 2)))) (* (cbrt (sqrt (* PI (* n 2)))) (cbrt (sqrt (* PI (* n 2)))))) 1537439737.694 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (fabs (cbrt (pow (* PI (* n 2)) (/ k 2)))) (* (cbrt (sqrt (* PI (* n 2)))) (cbrt (sqrt (* PI (* n 2)))))) (/ (sqrt k) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (cbrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537439737.694 * [enter]simplify: Simplifying (/ (sqrt k) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (cbrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439737.695 * * [misc]simplify: iters left: 6 (16 enodes) 1537439737.698 * * [misc]simplify: iters left: 5 (23 enodes) 1537439737.703 * * [misc]simplify: iters left: 4 (32 enodes) 1537439737.708 * * [misc]simplify: iters left: 3 (36 enodes) 1537439737.717 * [exit]simplify: Simplified to (* (sqrt (cbrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (sqrt k) (cbrt (sqrt (* n (* 2 PI)))))) 1537439737.717 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (fabs (cbrt (pow (* PI (* n 2)) (/ k 2)))) (* (cbrt (sqrt (* PI (* n 2)))) (cbrt (sqrt (* PI (* n 2)))))) (* (sqrt (cbrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (sqrt k) (cbrt (sqrt (* n (* 2 PI))))))))) 1537439737.718 * * * * [misc]progress: [ 126 / 196 ] simplifiying candidate # 1537439737.718 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439737.720 * * [misc]simplify: iters left: 6 (17 enodes) 1537439737.727 * * [misc]simplify: iters left: 5 (28 enodes) 1537439737.737 * * [misc]simplify: iters left: 4 (41 enodes) 1537439737.748 * * [misc]simplify: iters left: 3 (62 enodes) 1537439737.763 * * [misc]simplify: iters left: 2 (100 enodes) 1537439737.789 * * [misc]simplify: iters left: 1 (182 enodes) 1537439737.872 * [exit]simplify: Simplified to (/ (sqrt (sqrt (pow (* (* n PI) 2) (/ k 2)))) (* (cbrt (sqrt (* (* n PI) 2))) (cbrt (sqrt (* (* n PI) 2))))) 1537439737.872 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt (sqrt (pow (* (* n PI) 2) (/ k 2)))) (* (cbrt (sqrt (* (* n PI) 2))) (cbrt (sqrt (* (* n PI) 2))))) (/ (sqrt k) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537439737.872 * [enter]simplify: Simplifying (/ (sqrt k) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439737.874 * * [misc]simplify: iters left: 6 (16 enodes) 1537439737.880 * * [misc]simplify: iters left: 5 (23 enodes) 1537439737.889 * * [misc]simplify: iters left: 4 (32 enodes) 1537439737.895 * * [misc]simplify: iters left: 3 (36 enodes) 1537439737.902 * [exit]simplify: Simplified to (* (sqrt (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (sqrt k) (cbrt (sqrt (* n (* 2 PI)))))) 1537439737.902 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt (sqrt (pow (* (* n PI) 2) (/ k 2)))) (* (cbrt (sqrt (* (* n PI) 2))) (cbrt (sqrt (* (* n PI) 2))))) (* (sqrt (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (sqrt k) (cbrt (sqrt (* n (* 2 PI))))))))) 1537439737.902 * * * * [misc]progress: [ 127 / 196 ] simplifiying candidate # 1537439737.902 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (sqrt 1))) 1537439737.903 * * [misc]simplify: iters left: 6 (13 enodes) 1537439737.906 * * [misc]simplify: iters left: 5 (24 enodes) 1537439737.911 * * [misc]simplify: iters left: 4 (33 enodes) 1537439737.917 * * [misc]simplify: iters left: 3 (41 enodes) 1537439737.928 * * [misc]simplify: iters left: 2 (60 enodes) 1537439737.945 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (* 2 (* n PI))))) (cbrt (sqrt (* 2 (* n PI))))) 1537439737.945 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (/ 1 (cbrt (sqrt (* 2 (* n PI))))) (cbrt (sqrt (* 2 (* n PI))))) (/ (sqrt k) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))))))) 1537439737.945 * [enter]simplify: Simplifying (/ (sqrt k) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537439737.946 * * [misc]simplify: iters left: 6 (15 enodes) 1537439737.949 * * [misc]simplify: iters left: 5 (22 enodes) 1537439737.953 * * [misc]simplify: iters left: 4 (31 enodes) 1537439737.960 * * [misc]simplify: iters left: 3 (35 enodes) 1537439737.966 * [exit]simplify: Simplified to (* (/ (sqrt k) (cbrt (sqrt (* PI (* n 2))))) (sqrt (pow (* PI (* n 2)) (/ k 2)))) 1537439737.966 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (/ 1 (cbrt (sqrt (* 2 (* n PI))))) (cbrt (sqrt (* 2 (* n PI))))) (* (/ (sqrt k) (cbrt (sqrt (* PI (* n 2))))) (sqrt (pow (* PI (* n 2)) (/ k 2))))))) 1537439737.966 * * * * [misc]progress: [ 128 / 196 ] simplifiying candidate # 1537439737.966 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439737.967 * * [misc]simplify: iters left: 6 (17 enodes) 1537439737.971 * * [misc]simplify: iters left: 5 (28 enodes) 1537439737.982 * * [misc]simplify: iters left: 4 (41 enodes) 1537439737.996 * * [misc]simplify: iters left: 3 (62 enodes) 1537439738.013 * * [misc]simplify: iters left: 2 (100 enodes) 1537439738.056 * * [misc]simplify: iters left: 1 (182 enodes) 1537439738.152 * [exit]simplify: Simplified to (/ (sqrt (sqrt (pow (* (* n PI) 2) (/ k 2)))) (* (cbrt (sqrt (* (* n PI) 2))) (cbrt (sqrt (* (* n PI) 2))))) 1537439738.152 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt (sqrt (pow (* (* n PI) 2) (/ k 2)))) (* (cbrt (sqrt (* (* n PI) 2))) (cbrt (sqrt (* (* n PI) 2))))) (/ (sqrt k) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537439738.152 * [enter]simplify: Simplifying (/ (sqrt k) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439738.154 * * [misc]simplify: iters left: 6 (16 enodes) 1537439738.160 * * [misc]simplify: iters left: 5 (23 enodes) 1537439738.169 * * [misc]simplify: iters left: 4 (32 enodes) 1537439738.182 * * [misc]simplify: iters left: 3 (36 enodes) 1537439738.195 * [exit]simplify: Simplified to (* (sqrt (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (sqrt k) (cbrt (sqrt (* n (* 2 PI)))))) 1537439738.195 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt (sqrt (pow (* (* n PI) 2) (/ k 2)))) (* (cbrt (sqrt (* (* n PI) 2))) (cbrt (sqrt (* (* n PI) 2))))) (* (sqrt (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (sqrt k) (cbrt (sqrt (* n (* 2 PI))))))))) 1537439738.195 * * * * [misc]progress: [ 129 / 196 ] simplifiying candidate # 1537439738.196 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) 1)) 1537439738.197 * * [misc]simplify: iters left: 6 (12 enodes) 1537439738.203 * * [misc]simplify: iters left: 5 (23 enodes) 1537439738.213 * * [misc]simplify: iters left: 4 (38 enodes) 1537439738.227 * * [misc]simplify: iters left: 3 (56 enodes) 1537439738.248 * * [misc]simplify: iters left: 2 (93 enodes) 1537439738.279 * * [misc]simplify: iters left: 1 (100 enodes) 1537439738.292 * [exit]simplify: Simplified to (* (/ 1 (cbrt (sqrt (* (* n PI) 2)))) (/ 1 (cbrt (sqrt (* (* n PI) 2))))) 1537439738.292 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ 1 (cbrt (sqrt (* (* n PI) 2)))) (/ 1 (cbrt (sqrt (* (* n PI) 2))))) (/ (sqrt k) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))))))) 1537439738.292 * [enter]simplify: Simplifying (/ (sqrt k) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537439738.294 * * [misc]simplify: iters left: 6 (15 enodes) 1537439738.300 * * [misc]simplify: iters left: 5 (22 enodes) 1537439738.308 * * [misc]simplify: iters left: 4 (31 enodes) 1537439738.322 * * [misc]simplify: iters left: 3 (35 enodes) 1537439738.334 * [exit]simplify: Simplified to (* (/ (sqrt k) (cbrt (sqrt (* PI (* n 2))))) (sqrt (pow (* PI (* n 2)) (/ k 2)))) 1537439738.334 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ 1 (cbrt (sqrt (* (* n PI) 2)))) (/ 1 (cbrt (sqrt (* (* n PI) 2))))) (* (/ (sqrt k) (cbrt (sqrt (* PI (* n 2))))) (sqrt (pow (* PI (* n 2)) (/ k 2))))))) 1537439738.334 * * * * [misc]progress: [ 130 / 196 ] simplifiying candidate # 1537439738.334 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (pow (* PI (* n 2)) 1/2)) (* (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))) 1537439738.336 * * [misc]simplify: iters left: 6 (17 enodes) 1537439738.342 * * [misc]simplify: iters left: 5 (28 enodes) 1537439738.351 * * [misc]simplify: iters left: 4 (39 enodes) 1537439738.363 * * [misc]simplify: iters left: 3 (51 enodes) 1537439738.380 * * [misc]simplify: iters left: 2 (77 enodes) 1537439738.403 * * [misc]simplify: iters left: 1 (128 enodes) 1537439738.465 * [exit]simplify: Simplified to (* (cbrt (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (cbrt (sqrt (pow (* (* n PI) 2) (/ k 2)))) (sqrt (sqrt (* (* n PI) 2))))) 1537439738.465 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (cbrt (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (cbrt (sqrt (pow (* (* n PI) 2) (/ k 2)))) (sqrt (sqrt (* (* n PI) 2))))) (/ (sqrt k) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537439738.465 * [enter]simplify: Simplifying (/ (sqrt k) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439738.466 * * [misc]simplify: iters left: 6 (16 enodes) 1537439738.469 * * [misc]simplify: iters left: 5 (23 enodes) 1537439738.474 * * [misc]simplify: iters left: 4 (32 enodes) 1537439738.479 * * [misc]simplify: iters left: 3 (36 enodes) 1537439738.485 * [exit]simplify: Simplified to (* (cbrt (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (sqrt k) (sqrt (sqrt (* n (* 2 PI)))))) 1537439738.485 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (cbrt (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (cbrt (sqrt (pow (* (* n PI) 2) (/ k 2)))) (sqrt (sqrt (* (* n PI) 2))))) (* (cbrt (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (sqrt k) (sqrt (sqrt (* n (* 2 PI))))))))) 1537439738.486 * * * * [misc]progress: [ 131 / 196 ] simplifiying candidate # 1537439738.486 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow PI (/ k 2))))) 1537439738.487 * * [misc]simplify: iters left: 6 (15 enodes) 1537439738.490 * * [misc]simplify: iters left: 5 (24 enodes) 1537439738.496 * * [misc]simplify: iters left: 4 (33 enodes) 1537439738.504 * * [misc]simplify: iters left: 3 (42 enodes) 1537439738.513 * * [misc]simplify: iters left: 2 (50 enodes) 1537439738.519 * * [misc]simplify: iters left: 1 (60 enodes) 1537439738.529 * [exit]simplify: Simplified to (/ (sqrt (pow PI (/ k 2))) (sqrt (sqrt (* (* 2 PI) n)))) 1537439738.529 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt (pow PI (/ k 2))) (sqrt (sqrt (* (* 2 PI) n)))) (/ (sqrt k) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* n 2) (/ k 2)))))))) 1537439738.530 * [enter]simplify: Simplifying (/ (sqrt k) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* n 2) (/ k 2))))) 1537439738.531 * * [misc]simplify: iters left: 6 (15 enodes) 1537439738.538 * * [misc]simplify: iters left: 5 (22 enodes) 1537439738.546 * * [misc]simplify: iters left: 4 (31 enodes) 1537439738.556 * * [misc]simplify: iters left: 3 (35 enodes) 1537439738.563 * [exit]simplify: Simplified to (/ (* (sqrt k) (sqrt (pow (* n 2) (/ k 2)))) (sqrt (sqrt (* PI (* n 2))))) 1537439738.564 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt (pow PI (/ k 2))) (sqrt (sqrt (* (* 2 PI) n)))) (/ (* (sqrt k) (sqrt (pow (* n 2) (/ k 2)))) (sqrt (sqrt (* PI (* n 2)))))))) 1537439738.564 * * * * [misc]progress: [ 132 / 196 ] simplifiying candidate # 1537439738.564 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))))) 1537439738.565 * * [misc]simplify: iters left: 6 (17 enodes) 1537439738.569 * * [misc]simplify: iters left: 5 (27 enodes) 1537439738.573 * * [misc]simplify: iters left: 4 (36 enodes) 1537439738.579 * * [misc]simplify: iters left: 3 (39 enodes) 1537439738.586 * * [misc]simplify: iters left: 2 (51 enodes) 1537439738.601 * * [misc]simplify: iters left: 1 (59 enodes) 1537439738.620 * [exit]simplify: Simplified to (/ (fabs (cbrt (pow (* (* n PI) 2) (/ k 2)))) (sqrt (sqrt (* (* n PI) 2)))) 1537439738.620 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (fabs (cbrt (pow (* (* n PI) 2) (/ k 2)))) (sqrt (sqrt (* (* n PI) 2)))) (/ (sqrt k) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (cbrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537439738.621 * [enter]simplify: Simplifying (/ (sqrt k) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (cbrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439738.622 * * [misc]simplify: iters left: 6 (16 enodes) 1537439738.629 * * [misc]simplify: iters left: 5 (23 enodes) 1537439738.637 * * [misc]simplify: iters left: 4 (32 enodes) 1537439738.648 * * [misc]simplify: iters left: 3 (36 enodes) 1537439738.660 * [exit]simplify: Simplified to (* (sqrt (cbrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (sqrt k) (sqrt (sqrt (* n (* 2 PI)))))) 1537439738.660 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (fabs (cbrt (pow (* (* n PI) 2) (/ k 2)))) (sqrt (sqrt (* (* n PI) 2)))) (* (sqrt (cbrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (sqrt k) (sqrt (sqrt (* n (* 2 PI))))))))) 1537439738.660 * * * * [misc]progress: [ 133 / 196 ] simplifiying candidate # 1537439738.660 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439738.661 * * [misc]simplify: iters left: 6 (16 enodes) 1537439738.664 * * [misc]simplify: iters left: 5 (25 enodes) 1537439738.669 * * [misc]simplify: iters left: 4 (34 enodes) 1537439738.674 * * [misc]simplify: iters left: 3 (43 enodes) 1537439738.682 * * [misc]simplify: iters left: 2 (52 enodes) 1537439738.691 * * [misc]simplify: iters left: 1 (64 enodes) 1537439738.702 * [exit]simplify: Simplified to (/ (sqrt (sqrt (pow (* 2 (* n PI)) (/ k 2)))) (sqrt (sqrt (* 2 (* n PI))))) 1537439738.702 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt (sqrt (pow (* 2 (* n PI)) (/ k 2)))) (sqrt (sqrt (* 2 (* n PI))))) (/ (sqrt k) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537439738.702 * [enter]simplify: Simplifying (/ (sqrt k) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439738.705 * * [misc]simplify: iters left: 6 (16 enodes) 1537439738.708 * * [misc]simplify: iters left: 5 (23 enodes) 1537439738.712 * * [misc]simplify: iters left: 4 (32 enodes) 1537439738.719 * * [misc]simplify: iters left: 3 (36 enodes) 1537439738.732 * [exit]simplify: Simplified to (* (sqrt (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (sqrt k) (sqrt (sqrt (* n (* 2 PI)))))) 1537439738.732 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt (sqrt (pow (* 2 (* n PI)) (/ k 2)))) (sqrt (sqrt (* 2 (* n PI))))) (* (sqrt (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (sqrt k) (sqrt (sqrt (* n (* 2 PI))))))))) 1537439738.732 * * * * [misc]progress: [ 134 / 196 ] simplifiying candidate # 1537439738.732 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt 1))) 1537439738.733 * * [misc]simplify: iters left: 6 (12 enodes) 1537439738.739 * * [misc]simplify: iters left: 5 (21 enodes) 1537439738.747 * * [misc]simplify: iters left: 4 (27 enodes) 1537439738.756 * * [misc]simplify: iters left: 3 (34 enodes) 1537439738.762 * * [misc]simplify: iters left: 2 (35 enodes) 1537439738.766 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (* (* n PI) 2)))) 1537439738.766 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ 1 (sqrt (sqrt (* (* n PI) 2)))) (/ (sqrt k) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))))))) 1537439738.766 * [enter]simplify: Simplifying (/ (sqrt k) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537439738.767 * * [misc]simplify: iters left: 6 (15 enodes) 1537439738.770 * * [misc]simplify: iters left: 5 (22 enodes) 1537439738.774 * * [misc]simplify: iters left: 4 (31 enodes) 1537439738.779 * * [misc]simplify: iters left: 3 (35 enodes) 1537439738.785 * [exit]simplify: Simplified to (* (/ (sqrt k) (sqrt (sqrt (* PI (* n 2))))) (sqrt (pow (* PI (* n 2)) (/ k 2)))) 1537439738.785 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ 1 (sqrt (sqrt (* (* n PI) 2)))) (* (/ (sqrt k) (sqrt (sqrt (* PI (* n 2))))) (sqrt (pow (* PI (* n 2)) (/ k 2))))))) 1537439738.785 * * * * [misc]progress: [ 135 / 196 ] simplifiying candidate # 1537439738.786 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439738.786 * * [misc]simplify: iters left: 6 (16 enodes) 1537439738.790 * * [misc]simplify: iters left: 5 (25 enodes) 1537439738.796 * * [misc]simplify: iters left: 4 (34 enodes) 1537439738.801 * * [misc]simplify: iters left: 3 (43 enodes) 1537439738.809 * * [misc]simplify: iters left: 2 (52 enodes) 1537439738.817 * * [misc]simplify: iters left: 1 (64 enodes) 1537439738.829 * [exit]simplify: Simplified to (/ (sqrt (sqrt (pow (* 2 (* n PI)) (/ k 2)))) (sqrt (sqrt (* 2 (* n PI))))) 1537439738.829 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt (sqrt (pow (* 2 (* n PI)) (/ k 2)))) (sqrt (sqrt (* 2 (* n PI))))) (/ (sqrt k) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537439738.829 * [enter]simplify: Simplifying (/ (sqrt k) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439738.831 * * [misc]simplify: iters left: 6 (16 enodes) 1537439738.837 * * [misc]simplify: iters left: 5 (23 enodes) 1537439738.845 * * [misc]simplify: iters left: 4 (32 enodes) 1537439738.856 * * [misc]simplify: iters left: 3 (36 enodes) 1537439738.869 * [exit]simplify: Simplified to (* (sqrt (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (sqrt k) (sqrt (sqrt (* n (* 2 PI)))))) 1537439738.869 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt (sqrt (pow (* 2 (* n PI)) (/ k 2)))) (sqrt (sqrt (* 2 (* n PI))))) (* (sqrt (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (sqrt k) (sqrt (sqrt (* n (* 2 PI))))))))) 1537439738.869 * * * * [misc]progress: [ 136 / 196 ] simplifiying candidate # 1537439738.869 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (pow (* PI (* n 2)) 1/2)) 1)) 1537439738.870 * * [misc]simplify: iters left: 6 (11 enodes) 1537439738.874 * * [misc]simplify: iters left: 5 (20 enodes) 1537439738.883 * * [misc]simplify: iters left: 4 (32 enodes) 1537439738.892 * * [misc]simplify: iters left: 3 (33 enodes) 1537439738.902 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (* (* n PI) 2)))) 1537439738.902 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ 1 (sqrt (sqrt (* (* n PI) 2)))) (/ (sqrt k) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))))))) 1537439738.903 * [enter]simplify: Simplifying (/ (sqrt k) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537439738.904 * * [misc]simplify: iters left: 6 (15 enodes) 1537439738.910 * * [misc]simplify: iters left: 5 (22 enodes) 1537439738.918 * * [misc]simplify: iters left: 4 (31 enodes) 1537439738.928 * * [misc]simplify: iters left: 3 (35 enodes) 1537439738.941 * [exit]simplify: Simplified to (* (/ (sqrt k) (sqrt (sqrt (* PI (* n 2))))) (sqrt (pow (* PI (* n 2)) (/ k 2)))) 1537439738.941 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ 1 (sqrt (sqrt (* (* n PI) 2)))) (* (/ (sqrt k) (sqrt (sqrt (* PI (* n 2))))) (sqrt (pow (* PI (* n 2)) (/ k 2))))))) 1537439738.941 * * * * [misc]progress: [ 137 / 196 ] simplifiying candidate # 1537439738.941 * [enter]simplify: Simplifying (/ 1 (/ 1 (* (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))) 1537439738.943 * * [misc]simplify: iters left: 6 (14 enodes) 1537439738.950 * * [misc]simplify: iters left: 5 (24 enodes) 1537439738.958 * * [misc]simplify: iters left: 4 (31 enodes) 1537439738.969 * * [misc]simplify: iters left: 3 (38 enodes) 1537439738.977 * * [misc]simplify: iters left: 2 (40 enodes) 1537439738.983 * [exit]simplify: Simplified to (* (cbrt (sqrt (pow (* 2 (* n PI)) (/ k 2)))) (cbrt (sqrt (pow (* 2 (* n PI)) (/ k 2))))) 1537439738.983 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (cbrt (sqrt (pow (* 2 (* n PI)) (/ k 2)))) (cbrt (sqrt (pow (* 2 (* n PI)) (/ k 2))))) (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537439738.983 * [enter]simplify: Simplifying (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439738.984 * * [misc]simplify: iters left: 6 (15 enodes) 1537439738.987 * * [misc]simplify: iters left: 5 (22 enodes) 1537439738.991 * * [misc]simplify: iters left: 4 (31 enodes) 1537439739.000 * * [misc]simplify: iters left: 3 (35 enodes) 1537439739.012 * [exit]simplify: Simplified to (* (/ (sqrt k) (sqrt (* PI (* n 2)))) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537439739.012 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (cbrt (sqrt (pow (* 2 (* n PI)) (/ k 2)))) (cbrt (sqrt (pow (* 2 (* n PI)) (/ k 2))))) (* (/ (sqrt k) (sqrt (* PI (* n 2)))) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))))) 1537439739.013 * * * * [misc]progress: [ 138 / 196 ] simplifiying candidate # 1537439739.013 * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (pow PI (/ k 2))))) 1537439739.014 * * [misc]simplify: iters left: 6 (9 enodes) 1537439739.020 * * [misc]simplify: iters left: 5 (13 enodes) 1537439739.024 * * [misc]simplify: iters left: 4 (14 enodes) 1537439739.029 * * [misc]simplify: iters left: 3 (18 enodes) 1537439739.032 * [exit]simplify: Simplified to (sqrt (pow PI (/ k 2))) 1537439739.032 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (sqrt (pow PI (/ k 2))) (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* n 2) (/ k 2)))))))) 1537439739.032 * [enter]simplify: Simplifying (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* n 2) (/ k 2))))) 1537439739.033 * * [misc]simplify: iters left: 6 (14 enodes) 1537439739.036 * * [misc]simplify: iters left: 5 (21 enodes) 1537439739.040 * * [misc]simplify: iters left: 4 (30 enodes) 1537439739.045 * * [misc]simplify: iters left: 3 (34 enodes) 1537439739.051 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (/ k 2))) (/ (sqrt k) (sqrt (* n (* 2 PI))))) 1537439739.051 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (sqrt (pow PI (/ k 2))) (* (sqrt (pow (* n 2) (/ k 2))) (/ (sqrt k) (sqrt (* n (* 2 PI)))))))) 1537439739.051 * * * * [misc]progress: [ 139 / 196 ] simplifiying candidate # 1537439739.052 * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))))) 1537439739.053 * * [misc]simplify: iters left: 6 (14 enodes) 1537439739.056 * * [misc]simplify: iters left: 5 (23 enodes) 1537439739.061 * * [misc]simplify: iters left: 4 (30 enodes) 1537439739.071 * * [misc]simplify: iters left: 3 (35 enodes) 1537439739.080 * [exit]simplify: Simplified to (fabs (cbrt (pow (* (* 2 PI) n) (/ k 2)))) 1537439739.080 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (fabs (cbrt (pow (* (* 2 PI) n) (/ k 2)))) (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (sqrt (cbrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537439739.081 * [enter]simplify: Simplifying (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (sqrt (cbrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439739.082 * * [misc]simplify: iters left: 6 (15 enodes) 1537439739.088 * * [misc]simplify: iters left: 5 (22 enodes) 1537439739.096 * * [misc]simplify: iters left: 4 (31 enodes) 1537439739.106 * * [misc]simplify: iters left: 3 (35 enodes) 1537439739.118 * [exit]simplify: Simplified to (* (/ (sqrt k) (sqrt (* PI (* n 2)))) (sqrt (cbrt (pow (* PI (* n 2)) (/ k 2))))) 1537439739.118 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (fabs (cbrt (pow (* (* 2 PI) n) (/ k 2)))) (* (/ (sqrt k) (sqrt (* PI (* n 2)))) (sqrt (cbrt (pow (* PI (* n 2)) (/ k 2)))))))) 1537439739.118 * * * * [misc]progress: [ 140 / 196 ] simplifiying candidate # 1537439739.118 * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439739.119 * * [misc]simplify: iters left: 6 (13 enodes) 1537439739.127 * * [misc]simplify: iters left: 5 (21 enodes) 1537439739.134 * * [misc]simplify: iters left: 4 (28 enodes) 1537439739.144 * * [misc]simplify: iters left: 3 (33 enodes) 1537439739.153 * [exit]simplify: Simplified to (sqrt (sqrt (pow (* (* n PI) 2) (/ k 2)))) 1537439739.153 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (sqrt (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537439739.154 * [enter]simplify: Simplifying (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439739.155 * * [misc]simplify: iters left: 6 (15 enodes) 1537439739.161 * * [misc]simplify: iters left: 5 (22 enodes) 1537439739.169 * * [misc]simplify: iters left: 4 (31 enodes) 1537439739.180 * * [misc]simplify: iters left: 3 (35 enodes) 1537439739.192 * [exit]simplify: Simplified to (* (/ (sqrt k) (sqrt (* PI (* n 2)))) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537439739.192 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (sqrt (sqrt (pow (* (* n PI) 2) (/ k 2)))) (* (/ (sqrt k) (sqrt (* PI (* n 2)))) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))))) 1537439739.192 * * * * [misc]progress: [ 141 / 196 ] simplifiying candidate # 1537439739.192 * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt 1))) 1537439739.193 * * [misc]simplify: iters left: 5 (4 enodes) 1537439739.196 * * [misc]simplify: iters left: 4 (8 enodes) 1537439739.197 * [exit]simplify: Simplified to 1 1537439739.197 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* 1 (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))))))) 1537439739.198 * [enter]simplify: Simplifying (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537439739.199 * * [misc]simplify: iters left: 6 (14 enodes) 1537439739.205 * * [misc]simplify: iters left: 5 (21 enodes) 1537439739.210 * * [misc]simplify: iters left: 4 (30 enodes) 1537439739.215 * * [misc]simplify: iters left: 3 (34 enodes) 1537439739.221 * [exit]simplify: Simplified to (* (sqrt (pow (* n (* 2 PI)) (/ k 2))) (/ (sqrt k) (sqrt (* n (* 2 PI))))) 1537439739.221 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* 1 (* (sqrt (pow (* n (* 2 PI)) (/ k 2))) (/ (sqrt k) (sqrt (* n (* 2 PI)))))))) 1537439739.221 * * * * [misc]progress: [ 142 / 196 ] simplifiying candidate # 1537439739.221 * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439739.222 * * [misc]simplify: iters left: 6 (13 enodes) 1537439739.225 * * [misc]simplify: iters left: 5 (21 enodes) 1537439739.229 * * [misc]simplify: iters left: 4 (28 enodes) 1537439739.234 * * [misc]simplify: iters left: 3 (33 enodes) 1537439739.240 * [exit]simplify: Simplified to (sqrt (sqrt (pow (* (* n PI) 2) (/ k 2)))) 1537439739.240 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (sqrt (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537439739.240 * [enter]simplify: Simplifying (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537439739.241 * * [misc]simplify: iters left: 6 (15 enodes) 1537439739.244 * * [misc]simplify: iters left: 5 (22 enodes) 1537439739.249 * * [misc]simplify: iters left: 4 (31 enodes) 1537439739.259 * * [misc]simplify: iters left: 3 (35 enodes) 1537439739.272 * [exit]simplify: Simplified to (* (/ (sqrt k) (sqrt (* PI (* n 2)))) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537439739.272 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (sqrt (sqrt (pow (* (* n PI) 2) (/ k 2)))) (* (/ (sqrt k) (sqrt (* PI (* n 2)))) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))))) 1537439739.272 * * * * [misc]progress: [ 143 / 196 ] simplifiying candidate # 1537439739.272 * [enter]simplify: Simplifying (/ 1 (/ 1 1)) 1537439739.273 * * [misc]simplify: iters left: 4 (3 enodes) 1537439739.274 * * [misc]simplify: iters left: 3 (5 enodes) 1537439739.275 * [exit]simplify: Simplified to 1 1537439739.275 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* 1 (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))))))) 1537439739.275 * [enter]simplify: Simplifying (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537439739.277 * * [misc]simplify: iters left: 6 (14 enodes) 1537439739.282 * * [misc]simplify: iters left: 5 (21 enodes) 1537439739.290 * * [misc]simplify: iters left: 4 (30 enodes) 1537439739.300 * * [misc]simplify: iters left: 3 (34 enodes) 1537439739.312 * [exit]simplify: Simplified to (* (sqrt (pow (* n (* 2 PI)) (/ k 2))) (/ (sqrt k) (sqrt (* n (* 2 PI))))) 1537439739.312 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* 1 (* (sqrt (pow (* n (* 2 PI)) (/ k 2))) (/ (sqrt k) (sqrt (* n (* 2 PI)))))))) 1537439739.312 * * * * [misc]progress: [ 144 / 196 ] simplifiying candidate # 1537439739.312 * [enter]simplify: Simplifying (/ 1 1) 1537439739.313 * * [misc]simplify: iters left: 2 (2 enodes) 1537439739.314 * * [misc]simplify: iters left: 1 (4 enodes) 1537439739.314 * [exit]simplify: Simplified to 1 1537439739.314 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* 1 (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))))))) 1537439739.315 * [enter]simplify: Simplifying (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537439739.316 * * [misc]simplify: iters left: 6 (14 enodes) 1537439739.322 * * [misc]simplify: iters left: 5 (21 enodes) 1537439739.330 * * [misc]simplify: iters left: 4 (30 enodes) 1537439739.336 * * [misc]simplify: iters left: 3 (34 enodes) 1537439739.341 * [exit]simplify: Simplified to (* (sqrt (pow (* n (* 2 PI)) (/ k 2))) (/ (sqrt k) (sqrt (* n (* 2 PI))))) 1537439739.341 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* 1 (* (sqrt (pow (* n (* 2 PI)) (/ k 2))) (/ (sqrt k) (sqrt (* n (* 2 PI)))))))) 1537439739.341 * * * * [misc]progress: [ 145 / 196 ] simplifiying candidate # 1537439739.342 * [enter]simplify: Simplifying (/ 1 (pow (* PI (* n 2)) 1/2)) 1537439739.342 * * [misc]simplify: iters left: 6 (9 enodes) 1537439739.344 * * [misc]simplify: iters left: 5 (16 enodes) 1537439739.349 * * [misc]simplify: iters left: 4 (22 enodes) 1537439739.352 * * [misc]simplify: iters left: 3 (23 enodes) 1537439739.356 * [exit]simplify: Simplified to (/ 1 (sqrt (* n (* 2 PI)))) 1537439739.356 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))))))) 1537439739.356 * [enter]simplify: Simplifying (/ (sqrt k) (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537439739.357 * * [misc]simplify: iters left: 6 (13 enodes) 1537439739.360 * * [misc]simplify: iters left: 5 (21 enodes) 1537439739.364 * * [misc]simplify: iters left: 4 (30 enodes) 1537439739.376 * * [misc]simplify: iters left: 3 (42 enodes) 1537439739.388 * * [misc]simplify: iters left: 2 (44 enodes) 1537439739.397 * * [misc]simplify: iters left: 1 (49 enodes) 1537439739.410 * [exit]simplify: Simplified to (* (sqrt (pow (* (* PI n) 2) (/ k 2))) (sqrt k)) 1537439739.411 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ 1 (sqrt (* n (* 2 PI)))) (* (sqrt (pow (* (* PI n) 2) (/ k 2))) (sqrt k))))) 1537439739.411 * * * * [misc]progress: [ 146 / 196 ] simplifiying candidate # 1537439739.411 * * * * [misc]progress: [ 147 / 196 ] simplifiying candidate # 1537439739.411 * * * * [misc]progress: [ 148 / 196 ] simplifiying candidate # 1537439739.411 * * * * [misc]progress: [ 149 / 196 ] simplifiying candidate # 1537439739.411 * [enter]simplify: Simplifying (cbrt (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537439739.412 * * [misc]simplify: iters left: 6 (13 enodes) 1537439739.418 * * [misc]simplify: iters left: 5 (18 enodes) 1537439739.424 * * [misc]simplify: iters left: 4 (24 enodes) 1537439739.431 * * [misc]simplify: iters left: 3 (25 enodes) 1537439739.440 * [exit]simplify: Simplified to (cbrt (/ (sqrt (* (* 2 n) PI)) (sqrt (pow (* (* 2 n) PI) (/ k 2))))) 1537439739.440 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (/ (sqrt k) (* (cbrt (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))) (cbrt (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))))) (cbrt (/ (sqrt (* (* 2 n) PI)) (sqrt (pow (* (* 2 n) PI) (/ k 2)))))))) 1537439739.440 * * * * [misc]progress: [ 150 / 196 ] simplifiying candidate # 1537439739.441 * [enter]simplify: Simplifying (sqrt (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537439739.442 * * [misc]simplify: iters left: 6 (13 enodes) 1537439739.447 * * [misc]simplify: iters left: 5 (18 enodes) 1537439739.454 * * [misc]simplify: iters left: 4 (24 enodes) 1537439739.462 * * [misc]simplify: iters left: 3 (25 enodes) 1537439739.472 * [exit]simplify: Simplified to (sqrt (/ (sqrt (* (* 2 n) PI)) (sqrt (pow (* (* 2 n) PI) (/ k 2))))) 1537439739.472 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (/ (sqrt k) (sqrt (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))))) (sqrt (/ (sqrt (* (* 2 n) PI)) (sqrt (pow (* (* 2 n) PI) (/ k 2)))))))) 1537439739.472 * * * * [misc]progress: [ 151 / 196 ] simplifiying candidate # 1537439739.472 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537439739.476 * * [misc]simplify: iters left: 6 (13 enodes) 1537439739.481 * * [misc]simplify: iters left: 5 (18 enodes) 1537439739.488 * * [misc]simplify: iters left: 4 (24 enodes) 1537439739.496 * * [misc]simplify: iters left: 3 (26 enodes) 1537439739.505 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (cbrt (sqrt (pow (* (* n 2) PI) (/ k 2))))) 1537439739.505 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (/ (sqrt k) (/ (pow PI 1/2) (* (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))) (/ (sqrt (* n 2)) (cbrt (sqrt (pow (* (* n 2) PI) (/ k 2)))))))) 1537439739.505 * * * * [misc]progress: [ 152 / 196 ] simplifiying candidate # 1537439739.505 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (sqrt (pow (* n 2) (/ k 2)))) 1537439739.506 * * [misc]simplify: iters left: 6 (10 enodes) 1537439739.510 * * [misc]simplify: iters left: 5 (12 enodes) 1537439739.514 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (pow (* n 2) (/ k 2)))) 1537439739.514 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (/ (sqrt k) (/ (pow PI 1/2) (sqrt (pow PI (/ k 2))))) (/ (sqrt (* n 2)) (sqrt (pow (* n 2) (/ k 2))))))) 1537439739.514 * * * * [misc]progress: [ 153 / 196 ] simplifiying candidate # 1537439739.514 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (sqrt (cbrt (pow (* PI (* n 2)) (/ k 2))))) 1537439739.516 * * [misc]simplify: iters left: 6 (13 enodes) 1537439739.521 * * [misc]simplify: iters left: 5 (18 enodes) 1537439739.528 * * [misc]simplify: iters left: 4 (24 enodes) 1537439739.535 * * [misc]simplify: iters left: 3 (26 enodes) 1537439739.544 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (cbrt (pow (* (* n 2) PI) (/ k 2))))) 1537439739.544 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (/ (sqrt k) (/ (pow PI 1/2) (sqrt (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))))) (/ (sqrt (* n 2)) (sqrt (cbrt (pow (* (* n 2) PI) (/ k 2)))))))) 1537439739.544 * * * * [misc]progress: [ 154 / 196 ] simplifiying candidate # 1537439739.545 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537439739.546 * * [misc]simplify: iters left: 6 (13 enodes) 1537439739.551 * * [misc]simplify: iters left: 5 (18 enodes) 1537439739.557 * * [misc]simplify: iters left: 4 (24 enodes) 1537439739.565 * * [misc]simplify: iters left: 3 (26 enodes) 1537439739.575 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt (pow (* (* n 2) PI) (/ k 2))))) 1537439739.575 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (/ (sqrt k) (/ (pow PI 1/2) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) (/ (sqrt (* n 2)) (sqrt (sqrt (pow (* (* n 2) PI) (/ k 2)))))))) 1537439739.575 * * * * [misc]progress: [ 155 / 196 ] simplifiying candidate # 1537439739.575 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) 1537439739.576 * * [misc]simplify: iters left: 6 (12 enodes) 1537439739.581 * * [misc]simplify: iters left: 5 (17 enodes) 1537439739.587 * * [misc]simplify: iters left: 4 (23 enodes) 1537439739.594 * * [misc]simplify: iters left: 3 (24 enodes) 1537439739.599 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (pow (* n (* PI 2)) (/ k 2)))) 1537439739.599 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (/ (sqrt k) (/ (pow PI 1/2) (sqrt 1))) (/ (sqrt (* n 2)) (sqrt (pow (* n (* PI 2)) (/ k 2))))))) 1537439739.599 * * * * [misc]progress: [ 156 / 196 ] simplifiying candidate # 1537439739.599 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537439739.600 * * [misc]simplify: iters left: 6 (13 enodes) 1537439739.604 * * [misc]simplify: iters left: 5 (18 enodes) 1537439739.607 * * [misc]simplify: iters left: 4 (24 enodes) 1537439739.611 * * [misc]simplify: iters left: 3 (26 enodes) 1537439739.615 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt (pow (* (* n 2) PI) (/ k 2))))) 1537439739.615 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (/ (sqrt k) (/ (pow PI 1/2) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) (/ (sqrt (* n 2)) (sqrt (sqrt (pow (* (* n 2) PI) (/ k 2)))))))) 1537439739.615 * * * * [misc]progress: [ 157 / 196 ] simplifiying candidate # 1537439739.616 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) 1537439739.616 * * [misc]simplify: iters left: 6 (12 enodes) 1537439739.619 * * [misc]simplify: iters left: 5 (17 enodes) 1537439739.622 * * [misc]simplify: iters left: 4 (23 enodes) 1537439739.626 * * [misc]simplify: iters left: 3 (24 enodes) 1537439739.629 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (pow (* n (* PI 2)) (/ k 2)))) 1537439739.630 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (/ (sqrt k) (/ (pow PI 1/2) 1)) (/ (sqrt (* n 2)) (sqrt (pow (* n (* PI 2)) (/ k 2))))))) 1537439739.630 * * * * [misc]progress: [ 158 / 196 ] simplifiying candidate # 1537439739.630 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537439739.631 * * [misc]simplify: iters left: 6 (14 enodes) 1537439739.633 * * [misc]simplify: iters left: 5 (19 enodes) 1537439739.637 * * [misc]simplify: iters left: 4 (25 enodes) 1537439739.641 * * [misc]simplify: iters left: 3 (26 enodes) 1537439739.645 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (pow (* (* 2 n) PI) (/ k 2))))) 1537439739.645 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (/ (sqrt k) (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (* (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))) (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (pow (* (* 2 n) PI) (/ k 2)))))))) 1537439739.645 * * * * [misc]progress: [ 159 / 196 ] simplifiying candidate # 1537439739.646 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* n 2) (/ k 2)))) 1537439739.646 * * [misc]simplify: iters left: 6 (13 enodes) 1537439739.649 * * [misc]simplify: iters left: 5 (18 enodes) 1537439739.652 * * [misc]simplify: iters left: 4 (24 enodes) 1537439739.656 * * [misc]simplify: iters left: 3 (25 enodes) 1537439739.660 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* 2 n) PI))) (sqrt (pow (* 2 n) (/ k 2)))) 1537439739.660 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (/ (sqrt k) (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (sqrt (pow PI (/ k 2))))) (/ (cbrt (sqrt (* (* 2 n) PI))) (sqrt (pow (* 2 n) (/ k 2))))))) 1537439739.660 * * * * [misc]progress: [ 160 / 196 ] simplifiying candidate # 1537439739.660 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (cbrt (pow (* PI (* n 2)) (/ k 2))))) 1537439739.661 * * [misc]simplify: iters left: 6 (14 enodes) 1537439739.664 * * [misc]simplify: iters left: 5 (19 enodes) 1537439739.667 * * [misc]simplify: iters left: 4 (25 enodes) 1537439739.672 * * [misc]simplify: iters left: 3 (26 enodes) 1537439739.677 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* 2 n) PI))) (sqrt (cbrt (pow (* (* 2 n) PI) (/ k 2))))) 1537439739.677 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (/ (sqrt k) (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (sqrt (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))))) (/ (cbrt (sqrt (* (* 2 n) PI))) (sqrt (cbrt (pow (* (* 2 n) PI) (/ k 2)))))))) 1537439739.677 * * * * [misc]progress: [ 161 / 196 ] simplifiying candidate # 1537439739.677 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537439739.678 * * [misc]simplify: iters left: 6 (14 enodes) 1537439739.680 * * [misc]simplify: iters left: 5 (19 enodes) 1537439739.684 * * [misc]simplify: iters left: 4 (25 enodes) 1537439739.688 * * [misc]simplify: iters left: 3 (26 enodes) 1537439739.693 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt (pow (* (* 2 n) PI) (/ k 2))))) 1537439739.693 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (/ (sqrt k) (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) (/ (cbrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt (pow (* (* 2 n) PI) (/ k 2)))))))) 1537439739.693 * * * * [misc]progress: [ 162 / 196 ] simplifiying candidate # 1537439739.693 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) 1537439739.695 * * [misc]simplify: iters left: 6 (13 enodes) 1537439739.700 * * [misc]simplify: iters left: 5 (18 enodes) 1537439739.706 * * [misc]simplify: iters left: 4 (24 enodes) 1537439739.710 * * [misc]simplify: iters left: 3 (25 enodes) 1537439739.714 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* 2 n) PI))) (sqrt (pow (* (* 2 n) PI) (/ k 2)))) 1537439739.714 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (/ (sqrt k) (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (sqrt 1))) (/ (cbrt (sqrt (* (* 2 n) PI))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))) 1537439739.714 * * * * [misc]progress: [ 163 / 196 ] simplifiying candidate # 1537439739.715 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537439739.715 * * [misc]simplify: iters left: 6 (14 enodes) 1537439739.718 * * [misc]simplify: iters left: 5 (19 enodes) 1537439739.722 * * [misc]simplify: iters left: 4 (25 enodes) 1537439739.726 * * [misc]simplify: iters left: 3 (26 enodes) 1537439739.730 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt (pow (* (* 2 n) PI) (/ k 2))))) 1537439739.730 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (/ (sqrt k) (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) (/ (cbrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt (pow (* (* 2 n) PI) (/ k 2)))))))) 1537439739.730 * * * * [misc]progress: [ 164 / 196 ] simplifiying candidate # 1537439739.730 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) 1537439739.731 * * [misc]simplify: iters left: 6 (13 enodes) 1537439739.734 * * [misc]simplify: iters left: 5 (18 enodes) 1537439739.737 * * [misc]simplify: iters left: 4 (24 enodes) 1537439739.740 * * [misc]simplify: iters left: 3 (25 enodes) 1537439739.745 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* 2 n) PI))) (sqrt (pow (* (* 2 n) PI) (/ k 2)))) 1537439739.745 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (/ (sqrt k) (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) 1)) (/ (cbrt (sqrt (* (* 2 n) PI))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))) 1537439739.745 * * * * [misc]progress: [ 165 / 196 ] simplifiying candidate # 1537439739.745 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) 1/2)) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537439739.747 * * [misc]simplify: iters left: 6 (14 enodes) 1537439739.752 * * [misc]simplify: iters left: 5 (19 enodes) 1537439739.759 * * [misc]simplify: iters left: 4 (25 enodes) 1537439739.767 * * [misc]simplify: iters left: 3 (26 enodes) 1537439739.776 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (pow (* (* 2 n) PI) (/ k 2))))) 1537439739.776 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (/ (sqrt k) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (* (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))) (/ (sqrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (pow (* (* 2 n) PI) (/ k 2)))))))) 1537439739.776 * * * * [misc]progress: [ 166 / 196 ] simplifiying candidate # 1537439739.776 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* n 2) (/ k 2)))) 1537439739.777 * * [misc]simplify: iters left: 6 (13 enodes) 1537439739.779 * * [misc]simplify: iters left: 5 (18 enodes) 1537439739.782 * * [misc]simplify: iters left: 4 (24 enodes) 1537439739.786 * * [misc]simplify: iters left: 3 (25 enodes) 1537439739.790 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (pow (* 2 n) (/ k 2)))) 1537439739.790 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (/ (sqrt k) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow PI (/ k 2))))) (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (pow (* 2 n) (/ k 2))))))) 1537439739.790 * * * * [misc]progress: [ 167 / 196 ] simplifiying candidate # 1537439739.790 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (cbrt (pow (* PI (* n 2)) (/ k 2))))) 1537439739.791 * * [misc]simplify: iters left: 6 (14 enodes) 1537439739.794 * * [misc]simplify: iters left: 5 (19 enodes) 1537439739.797 * * [misc]simplify: iters left: 4 (25 enodes) 1537439739.801 * * [misc]simplify: iters left: 3 (26 enodes) 1537439739.805 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (cbrt (pow (* (* 2 n) PI) (/ k 2))))) 1537439739.806 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (/ (sqrt k) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))))) (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (cbrt (pow (* (* 2 n) PI) (/ k 2)))))))) 1537439739.806 * * * * [misc]progress: [ 168 / 196 ] simplifiying candidate # 1537439739.806 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537439739.807 * * [misc]simplify: iters left: 6 (14 enodes) 1537439739.809 * * [misc]simplify: iters left: 5 (19 enodes) 1537439739.813 * * [misc]simplify: iters left: 4 (25 enodes) 1537439739.816 * * [misc]simplify: iters left: 3 (26 enodes) 1537439739.821 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt (pow (* (* 2 n) PI) (/ k 2))))) 1537439739.821 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (/ (sqrt k) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt (pow (* (* 2 n) PI) (/ k 2)))))))) 1537439739.821 * * * * [misc]progress: [ 169 / 196 ] simplifiying candidate # 1537439739.821 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) 1537439739.822 * * [misc]simplify: iters left: 6 (13 enodes) 1537439739.824 * * [misc]simplify: iters left: 5 (18 enodes) 1537439739.829 * * [misc]simplify: iters left: 4 (24 enodes) 1537439739.833 * * [misc]simplify: iters left: 3 (25 enodes) 1537439739.837 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (pow (* (* 2 n) PI) (/ k 2)))) 1537439739.837 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (/ (sqrt k) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt 1))) (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))) 1537439739.837 * * * * [misc]progress: [ 170 / 196 ] simplifiying candidate # 1537439739.837 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537439739.838 * * [misc]simplify: iters left: 6 (14 enodes) 1537439739.841 * * [misc]simplify: iters left: 5 (19 enodes) 1537439739.844 * * [misc]simplify: iters left: 4 (25 enodes) 1537439739.848 * * [misc]simplify: iters left: 3 (26 enodes) 1537439739.853 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt (pow (* (* 2 n) PI) (/ k 2))))) 1537439739.853 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (/ (sqrt k) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt (pow (* (* 2 n) PI) (/ k 2)))))))) 1537439739.853 * * * * [misc]progress: [ 171 / 196 ] simplifiying candidate # 1537439739.853 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) 1537439739.854 * * [misc]simplify: iters left: 6 (13 enodes) 1537439739.856 * * [misc]simplify: iters left: 5 (18 enodes) 1537439739.860 * * [misc]simplify: iters left: 4 (24 enodes) 1537439739.867 * * [misc]simplify: iters left: 3 (25 enodes) 1537439739.876 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (pow (* (* 2 n) PI) (/ k 2)))) 1537439739.876 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (/ (sqrt k) (/ (sqrt (pow (* PI (* n 2)) 1/2)) 1)) (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))) 1537439739.876 * * * * [misc]progress: [ 172 / 196 ] simplifiying candidate # 1537439739.876 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537439739.878 * * [misc]simplify: iters left: 6 (13 enodes) 1537439739.881 * * [misc]simplify: iters left: 5 (18 enodes) 1537439739.885 * * [misc]simplify: iters left: 4 (24 enodes) 1537439739.888 * * [misc]simplify: iters left: 3 (25 enodes) 1537439739.893 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (cbrt (sqrt (pow (* (* 2 n) PI) (/ k 2))))) 1537439739.893 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (/ (sqrt k) (/ 1 (* (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))) (/ (sqrt (* (* 2 n) PI)) (cbrt (sqrt (pow (* (* 2 n) PI) (/ k 2)))))))) 1537439739.893 * * * * [misc]progress: [ 173 / 196 ] simplifiying candidate # 1537439739.893 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* n 2) (/ k 2)))) 1537439739.894 * * [misc]simplify: iters left: 6 (12 enodes) 1537439739.896 * * [misc]simplify: iters left: 5 (17 enodes) 1537439739.899 * * [misc]simplify: iters left: 4 (23 enodes) 1537439739.903 * * [misc]simplify: iters left: 3 (24 enodes) 1537439739.908 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (sqrt (pow (* 2 n) (/ k 2)))) 1537439739.908 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (/ (sqrt k) (/ 1 (sqrt (pow PI (/ k 2))))) (/ (sqrt (* (* 2 n) PI)) (sqrt (pow (* 2 n) (/ k 2))))))) 1537439739.908 * * * * [misc]progress: [ 174 / 196 ] simplifiying candidate # 1537439739.909 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (cbrt (pow (* PI (* n 2)) (/ k 2))))) 1537439739.909 * * [misc]simplify: iters left: 6 (13 enodes) 1537439739.912 * * [misc]simplify: iters left: 5 (18 enodes) 1537439739.916 * * [misc]simplify: iters left: 4 (24 enodes) 1537439739.919 * * [misc]simplify: iters left: 3 (25 enodes) 1537439739.924 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (sqrt (cbrt (pow (* (* 2 n) PI) (/ k 2))))) 1537439739.924 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (/ (sqrt k) (/ 1 (sqrt (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))))) (/ (sqrt (* (* 2 n) PI)) (sqrt (cbrt (pow (* (* 2 n) PI) (/ k 2)))))))) 1537439739.924 * * * * [misc]progress: [ 175 / 196 ] simplifiying candidate # 1537439739.924 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537439739.925 * * [misc]simplify: iters left: 6 (13 enodes) 1537439739.927 * * [misc]simplify: iters left: 5 (18 enodes) 1537439739.931 * * [misc]simplify: iters left: 4 (24 enodes) 1537439739.934 * * [misc]simplify: iters left: 3 (25 enodes) 1537439739.938 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (pow (* (* 2 n) PI) (/ k 2))))) 1537439739.938 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (/ (sqrt k) (/ 1 (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (pow (* (* 2 n) PI) (/ k 2)))))))) 1537439739.939 * * * * [misc]progress: [ 176 / 196 ] simplifiying candidate # 1537439739.939 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) 1537439739.939 * * [misc]simplify: iters left: 6 (12 enodes) 1537439739.942 * * [misc]simplify: iters left: 5 (17 enodes) 1537439739.945 * * [misc]simplify: iters left: 4 (23 enodes) 1537439739.948 * * [misc]simplify: iters left: 3 (24 enodes) 1537439739.952 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (sqrt (pow (* (* 2 n) PI) (/ k 2)))) 1537439739.952 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (/ (sqrt k) (/ 1 (sqrt 1))) (/ (sqrt (* (* 2 n) PI)) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))) 1537439739.952 * * * * [misc]progress: [ 177 / 196 ] simplifiying candidate # 1537439739.953 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537439739.953 * * [misc]simplify: iters left: 6 (13 enodes) 1537439739.956 * * [misc]simplify: iters left: 5 (18 enodes) 1537439739.959 * * [misc]simplify: iters left: 4 (24 enodes) 1537439739.963 * * [misc]simplify: iters left: 3 (25 enodes) 1537439739.967 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (pow (* (* 2 n) PI) (/ k 2))))) 1537439739.967 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (/ (sqrt k) (/ 1 (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (pow (* (* 2 n) PI) (/ k 2)))))))) 1537439739.967 * * * * [misc]progress: [ 178 / 196 ] simplifiying candidate # 1537439739.967 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) 1537439739.968 * * [misc]simplify: iters left: 6 (12 enodes) 1537439739.970 * * [misc]simplify: iters left: 5 (17 enodes) 1537439739.973 * * [misc]simplify: iters left: 4 (23 enodes) 1537439739.979 * * [misc]simplify: iters left: 3 (24 enodes) 1537439739.983 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (sqrt (pow (* (* 2 n) PI) (/ k 2)))) 1537439739.983 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (/ (sqrt k) (/ 1 1)) (/ (sqrt (* (* 2 n) PI)) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))) 1537439739.983 * * * * [misc]progress: [ 179 / 196 ] simplifiying candidate # 1537439739.983 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) 1537439739.983 * * [misc]simplify: iters left: 6 (12 enodes) 1537439739.986 * * [misc]simplify: iters left: 5 (17 enodes) 1537439739.989 * * [misc]simplify: iters left: 4 (23 enodes) 1537439739.992 * * [misc]simplify: iters left: 3 (24 enodes) 1537439739.996 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (sqrt (pow (* (* 2 n) PI) (/ k 2)))) 1537439739.996 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (/ (sqrt k) 1) (/ (sqrt (* (* 2 n) PI)) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))) 1537439739.997 * * * * [misc]progress: [ 180 / 196 ] simplifiying candidate # 1537439739.997 * [enter]simplify: Simplifying (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) 1537439739.997 * * [misc]simplify: iters left: 6 (11 enodes) 1537439740.000 * * [misc]simplify: iters left: 5 (17 enodes) 1537439740.003 * * [misc]simplify: iters left: 4 (23 enodes) 1537439740.006 * * [misc]simplify: iters left: 3 (24 enodes) 1537439740.010 * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* (* 2 PI) n) (/ k 2)))) 1537439740.010 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (/ (sqrt k) (pow (* PI (* n 2)) 1/2)) (/ 1 (sqrt (pow (* (* 2 PI) n) (/ k 2))))))) 1537439740.010 * * * * [misc]progress: [ 181 / 196 ] simplifiying candidate # 1537439740.010 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1537439740.011 * * [misc]simplify: iters left: 4 (4 enodes) 1537439740.012 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1537439740.012 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k)))))) 1537439740.012 * * * * [misc]progress: [ 182 / 196 ] simplifiying candidate # 1537439740.012 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1537439740.012 * * [misc]simplify: iters left: 2 (3 enodes) 1537439740.013 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1537439740.013 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (sqrt (sqrt k)) (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k)))))) 1537439740.013 * * * * [misc]progress: [ 183 / 196 ] simplifiying candidate # 1537439740.013 * * * * [misc]progress: [ 184 / 196 ] simplifiying candidate # 1537439740.013 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (/ k 2))) 1537439740.013 * * [misc]simplify: iters left: 6 (9 enodes) 1537439740.015 * * [misc]simplify: iters left: 5 (13 enodes) 1537439740.018 * * [misc]simplify: iters left: 4 (19 enodes) 1537439740.021 * * [misc]simplify: iters left: 3 (20 enodes) 1537439740.024 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (/ k 2))) 1537439740.024 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt k) (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* (* 2 n) PI) (/ k 2)))))) 1537439740.024 * * * * [misc]progress: [ 185 / 196 ] simplifiying candidate # 1537439740.024 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537439740.024 * * [misc]simplify: iters left: 4 (5 enodes) 1537439740.026 * * [misc]simplify: iters left: 3 (9 enodes) 1537439740.028 * * [misc]simplify: iters left: 2 (15 enodes) 1537439740.030 * * [misc]simplify: iters left: 1 (17 enodes) 1537439740.033 * [exit]simplify: Simplified to (* (* PI n) 2) 1537439740.033 * [misc]simplify: Simplified (2 2 2 2 1 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* (* PI n) 2) (/ k 2))))))) 1537439740.033 * * * * [misc]progress: [ 186 / 196 ] simplifiying candidate # 1537439740.033 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537439740.033 * * [misc]simplify: iters left: 4 (5 enodes) 1537439740.034 * * [misc]simplify: iters left: 3 (9 enodes) 1537439740.036 * * [misc]simplify: iters left: 2 (15 enodes) 1537439740.039 * * [misc]simplify: iters left: 1 (17 enodes) 1537439740.044 * [exit]simplify: Simplified to (* (* PI n) 2) 1537439740.045 * [misc]simplify: Simplified (2 2 2 2 1 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* (* PI n) 2) (/ k 2))))))) 1537439740.045 * * * * [misc]progress: [ 187 / 196 ] simplifiying candidate # 1537439740.045 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537439740.045 * * [misc]simplify: iters left: 4 (5 enodes) 1537439740.048 * * [misc]simplify: iters left: 3 (9 enodes) 1537439740.054 * * [misc]simplify: iters left: 2 (15 enodes) 1537439740.059 * * [misc]simplify: iters left: 1 (17 enodes) 1537439740.064 * [exit]simplify: Simplified to (* (* PI n) 2) 1537439740.064 * [misc]simplify: Simplified (2 2 2 2 1 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* (* PI n) 2) (/ k 2))))))) 1537439740.064 * * * * [misc]progress: [ 188 / 196 ] simplifiying candidate # 1537439740.064 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537439740.065 * * [misc]simplify: iters left: 4 (5 enodes) 1537439740.067 * * [misc]simplify: iters left: 3 (9 enodes) 1537439740.071 * * [misc]simplify: iters left: 2 (15 enodes) 1537439740.076 * * [misc]simplify: iters left: 1 (17 enodes) 1537439740.081 * [exit]simplify: Simplified to (* (* PI n) 2) 1537439740.081 * [misc]simplify: Simplified (2 2 2 1 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (sqrt k) (/ (pow (* (* PI n) 2) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))))) 1537439740.081 * * * * [misc]progress: [ 189 / 196 ] simplifiying candidate # 1537439740.081 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537439740.082 * * [misc]simplify: iters left: 4 (5 enodes) 1537439740.084 * * [misc]simplify: iters left: 3 (9 enodes) 1537439740.088 * * [misc]simplify: iters left: 2 (15 enodes) 1537439740.090 * * [misc]simplify: iters left: 1 (17 enodes) 1537439740.093 * [exit]simplify: Simplified to (* (* PI n) 2) 1537439740.093 * [misc]simplify: Simplified (2 2 2 1 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (sqrt k) (/ (pow (* (* PI n) 2) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))))) 1537439740.093 * * * * [misc]progress: [ 190 / 196 ] simplifiying candidate # 1537439740.093 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537439740.094 * * [misc]simplify: iters left: 4 (5 enodes) 1537439740.095 * * [misc]simplify: iters left: 3 (9 enodes) 1537439740.097 * * [misc]simplify: iters left: 2 (15 enodes) 1537439740.099 * * [misc]simplify: iters left: 1 (17 enodes) 1537439740.102 * [exit]simplify: Simplified to (* (* PI n) 2) 1537439740.102 * [misc]simplify: Simplified (2 2 2 1 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (sqrt k) (/ (pow (* (* PI n) 2) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))))) 1537439740.102 * * * * [misc]progress: [ 191 / 196 ] simplifiying candidate # 1537439740.102 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537439740.102 * * [misc]simplify: iters left: 4 (5 enodes) 1537439740.103 * * [misc]simplify: iters left: 3 (9 enodes) 1537439740.105 * * [misc]simplify: iters left: 2 (15 enodes) 1537439740.108 * * [misc]simplify: iters left: 1 (17 enodes) 1537439740.110 * [exit]simplify: Simplified to (* (* PI n) 2) 1537439740.110 * [misc]simplify: Simplified (2 1 2 1 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* (* PI n) 2) (/ k 2)))) (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))))) 1537439740.110 * * * * [misc]progress: [ 192 / 196 ] simplifiying candidate # 1537439740.111 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537439740.111 * * [misc]simplify: iters left: 4 (5 enodes) 1537439740.112 * * [misc]simplify: iters left: 3 (9 enodes) 1537439740.114 * * [misc]simplify: iters left: 2 (15 enodes) 1537439740.117 * * [misc]simplify: iters left: 1 (17 enodes) 1537439740.119 * [exit]simplify: Simplified to (* (* PI n) 2) 1537439740.119 * [misc]simplify: Simplified (2 1 2 1 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* (* PI n) 2) (/ k 2)))) (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))))) 1537439740.119 * * * * [misc]progress: [ 193 / 196 ] simplifiying candidate # 1537439740.120 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537439740.120 * * [misc]simplify: iters left: 4 (5 enodes) 1537439740.121 * * [misc]simplify: iters left: 3 (9 enodes) 1537439740.123 * * [misc]simplify: iters left: 2 (15 enodes) 1537439740.126 * * [misc]simplify: iters left: 1 (17 enodes) 1537439740.128 * [exit]simplify: Simplified to (* (* PI n) 2) 1537439740.128 * [misc]simplify: Simplified (2 1 2 1 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* (* PI n) 2) (/ k 2)))) (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))))) 1537439740.128 * * * * [misc]progress: [ 194 / 196 ] simplifiying candidate # 1537439740.129 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (pow k 2) (log (* 2 PI))) (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ (* (log n) (pow k 2)) (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ k (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ (* (pow (log n) 2) (pow k 3)) (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ (* (pow k 3) (pow (log (* 2 PI)) 2)) (* (sqrt 2) (* n PI)))) (- (* +nan.0 (/ (* (pow k 3) (* (log n) (log (* 2 PI)))) (* (sqrt 2) (* n PI))))))))))))))) 1537439740.129 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) +nan.0)) 1537439740.129 * * * * [misc]progress: [ 195 / 196 ] simplifiying candidate # 1537439740.129 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ (pow (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) 3) (* (sqrt 2) (* (pow n 3) (* (pow PI 3) (pow k 2)))))) (- (* +nan.0 (/ (pow (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) 2) (* (sqrt 2) (* (pow n 2) (* (pow PI 2) k)))))))))) 1537439740.129 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) +nan.0)) 1537439740.129 * * * * [misc]progress: [ 196 / 196 ] simplifiying candidate # 1537439740.129 * [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 (/ 1 n))))))) 1537439740.129 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) +nan.0)) 1537439740.129 * * * [misc]progress: adding candidates to table 1537439747.473 * [misc]progress: [Phase 3 of 3] Extracting. 1537439747.473 * * [misc]regime: Finding splitpoints for: (# # # # # # # # # #) 1537439747.481 * * * [misc]regime-changes: Trying 2 branch expressions: (n k) 1537439747.481 * * * * [misc]regimes: Trying to branch on n from (# # # # # # # # # #) 1537439747.623 * * * * [misc]regimes: Trying to branch on k from (# # # # # # # # # #) 1537439747.742 * * * [misc]regime: Found split indices: #