1537029869.602 * [misc]progress: [Phase 1 of 3] Setting up. 1537029869.602 * * * [misc]progress: [1/2] Preparing points 1537029869.602 * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 1537029869.605 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision 1537029869.609 * * * * [misc]points: Setting MPFR precision to 64 1537029869.611 * * * * [misc]points: Setting MPFR precision to 320 1537029869.612 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision 1537029869.616 * * * * [misc]points: Setting MPFR precision to 64 1537029869.619 * * * * [misc]points: Setting MPFR precision to 320 1537029869.622 * * * * [misc]points: Setting MPFR precision to 576 1537029869.625 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision 1537029869.628 * * * * [misc]points: Setting MPFR precision to 320 1537029869.634 * * * * [misc]points: Setting MPFR precision to 576 1537029869.639 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision 1537029869.642 * * * * [misc]points: Setting MPFR precision to 320 1537029869.651 * * * * [misc]points: Setting MPFR precision to 576 1537029869.655 * * * * [misc]points: Setting MPFR precision to 832 1537029869.660 * * * * [misc]points: Setting MPFR precision to 1088 1537029869.665 * * * * [misc]points: Setting MPFR precision to 1344 1537029869.670 * * * * [misc]points: Computing exacts for 256 points 1537029869.673 * * * * [misc]points: Setting MPFR precision to 1088 1537029869.687 * * * * [misc]points: Setting MPFR precision to 1344 1537029869.702 * * * * [misc]points: Filtering points with unrepresentable outputs 1537029869.702 * * * * [misc]points: Sampling 213 additional inputs, on iter 1 have 43 / 256 1537029869.704 * * * * [misc]points: Computing exacts on every 13 of 213 points to ramp up precision 1537029869.706 * * * * [misc]points: Setting MPFR precision to 1088 1537029869.707 * * * * [misc]points: Setting MPFR precision to 1344 1537029869.708 * * * * [misc]points: Computing exacts on every 6 of 213 points to ramp up precision 1537029869.710 * * * * [misc]points: Setting MPFR precision to 1088 1537029869.730 * * * * [misc]points: Setting MPFR precision to 1344 1537029869.732 * * * * [misc]points: Computing exacts on every 3 of 213 points to ramp up precision 1537029869.734 * * * * [misc]points: Setting MPFR precision to 1088 1537029869.737 * * * * [misc]points: Setting MPFR precision to 1344 1537029869.742 * * * * [misc]points: Computing exacts for 213 points 1537029869.744 * * * * [misc]points: Setting MPFR precision to 1088 1537029869.755 * * * * [misc]points: Setting MPFR precision to 1344 1537029869.767 * * * * [misc]points: Filtering points with unrepresentable outputs 1537029869.767 * * * * [misc]points: Sampling 169 additional inputs, on iter 2 have 87 / 256 1537029869.768 * * * * [misc]points: Computing exacts on every 10 of 169 points to ramp up precision 1537029869.770 * * * * [misc]points: Setting MPFR precision to 1088 1537029869.771 * * * * [misc]points: Setting MPFR precision to 1344 1537029869.772 * * * * [misc]points: Computing exacts on every 5 of 169 points to ramp up precision 1537029869.774 * * * * [misc]points: Setting MPFR precision to 1088 1537029869.776 * * * * [misc]points: Setting MPFR precision to 1344 1537029869.779 * * * * [misc]points: Computing exacts on every 2 of 169 points to ramp up precision 1537029869.781 * * * * [misc]points: Setting MPFR precision to 1088 1537029869.784 * * * * [misc]points: Setting MPFR precision to 1344 1537029869.788 * * * * [misc]points: Computing exacts for 169 points 1537029869.790 * * * * [misc]points: Setting MPFR precision to 1088 1537029869.799 * * * * [misc]points: Setting MPFR precision to 1344 1537029869.809 * * * * [misc]points: Filtering points with unrepresentable outputs 1537029869.809 * * * * [misc]points: Sampling 141 additional inputs, on iter 3 have 115 / 256 1537029869.810 * * * * [misc]points: Computing exacts on every 8 of 141 points to ramp up precision 1537029869.812 * * * * [misc]points: Setting MPFR precision to 1088 1537029869.813 * * * * [misc]points: Setting MPFR precision to 1344 1537029869.814 * * * * [misc]points: Computing exacts on every 4 of 141 points to ramp up precision 1537029869.816 * * * * [misc]points: Setting MPFR precision to 1088 1537029869.818 * * * * [misc]points: Setting MPFR precision to 1344 1537029869.820 * * * * [misc]points: Computing exacts on every 2 of 141 points to ramp up precision 1537029869.822 * * * * [misc]points: Setting MPFR precision to 1088 1537029869.825 * * * * [misc]points: Setting MPFR precision to 1344 1537029869.828 * * * * [misc]points: Computing exacts for 141 points 1537029869.830 * * * * [misc]points: Setting MPFR precision to 1088 1537029869.860 * * * * [misc]points: Setting MPFR precision to 1344 1537029869.871 * * * * [misc]points: Filtering points with unrepresentable outputs 1537029869.872 * * * * [misc]points: Sampling 103 additional inputs, on iter 4 have 153 / 256 1537029869.872 * * * * [misc]points: Computing exacts on every 6 of 103 points to ramp up precision 1537029869.875 * * * * [misc]points: Setting MPFR precision to 1088 1537029869.876 * * * * [misc]points: Setting MPFR precision to 1344 1537029869.876 * * * * [misc]points: Computing exacts on every 3 of 103 points to ramp up precision 1537029869.878 * * * * [misc]points: Setting MPFR precision to 1088 1537029869.880 * * * * [misc]points: Setting MPFR precision to 1344 1537029869.881 * * * * [misc]points: Computing exacts for 103 points 1537029869.884 * * * * [misc]points: Setting MPFR precision to 1088 1537029869.890 * * * * [misc]points: Setting MPFR precision to 1344 1537029869.900 * * * * [misc]points: Filtering points with unrepresentable outputs 1537029869.900 * * * * [misc]points: Sampling 84 additional inputs, on iter 5 have 172 / 256 1537029869.901 * * * * [misc]points: Computing exacts on every 5 of 84 points to ramp up precision 1537029869.905 * * * * [misc]points: Setting MPFR precision to 1088 1537029869.907 * * * * [misc]points: Setting MPFR precision to 1344 1537029869.909 * * * * [misc]points: Computing exacts on every 2 of 84 points to ramp up precision 1537029869.913 * * * * [misc]points: Setting MPFR precision to 1088 1537029869.916 * * * * [misc]points: Setting MPFR precision to 1344 1537029869.919 * * * * [misc]points: Computing exacts for 84 points 1537029869.923 * * * * [misc]points: Setting MPFR precision to 1088 1537029869.931 * * * * [misc]points: Setting MPFR precision to 1344 1537029869.941 * * * * [misc]points: Filtering points with unrepresentable outputs 1537029869.941 * * * * [misc]points: Sampling 69 additional inputs, on iter 6 have 187 / 256 1537029869.942 * * * * [misc]points: Computing exacts on every 4 of 69 points to ramp up precision 1537029869.946 * * * * [misc]points: Setting MPFR precision to 1088 1537029869.948 * * * * [misc]points: Setting MPFR precision to 1344 1537029869.950 * * * * [misc]points: Computing exacts on every 2 of 69 points to ramp up precision 1537029869.953 * * * * [misc]points: Setting MPFR precision to 1088 1537029869.954 * * * * [misc]points: Setting MPFR precision to 1344 1537029869.956 * * * * [misc]points: Computing exacts for 69 points 1537029869.958 * * * * [misc]points: Setting MPFR precision to 1088 1537029869.962 * * * * [misc]points: Setting MPFR precision to 1344 1537029869.967 * * * * [misc]points: Filtering points with unrepresentable outputs 1537029869.967 * * * * [misc]points: Sampling 53 additional inputs, on iter 7 have 203 / 256 1537029869.967 * * * * [misc]points: Computing exacts on every 3 of 53 points to ramp up precision 1537029869.970 * * * * [misc]points: Setting MPFR precision to 1088 1537029869.970 * * * * [misc]points: Setting MPFR precision to 1344 1537029869.971 * * * * [misc]points: Computing exacts for 53 points 1537029869.973 * * * * [misc]points: Setting MPFR precision to 1088 1537029869.976 * * * * [misc]points: Setting MPFR precision to 1344 1537029869.980 * * * * [misc]points: Filtering points with unrepresentable outputs 1537029869.980 * * * * [misc]points: Sampling 43 additional inputs, on iter 8 have 213 / 256 1537029869.981 * * * * [misc]points: Computing exacts on every 2 of 43 points to ramp up precision 1537029869.985 * * * * [misc]points: Setting MPFR precision to 1088 1537029869.987 * * * * [misc]points: Setting MPFR precision to 1344 1537029869.988 * * * * [misc]points: Computing exacts for 43 points 1537029869.992 * * * * [misc]points: Setting MPFR precision to 1088 1537029870.019 * * * * [misc]points: Setting MPFR precision to 1344 1537029870.021 * * * * [misc]points: Filtering points with unrepresentable outputs 1537029870.021 * * * * [misc]points: Sampling 40 additional inputs, on iter 9 have 216 / 256 1537029870.022 * * * * [misc]points: Computing exacts on every 2 of 40 points to ramp up precision 1537029870.024 * * * * [misc]points: Setting MPFR precision to 1088 1537029870.025 * * * * [misc]points: Setting MPFR precision to 1344 1537029870.026 * * * * [misc]points: Computing exacts for 40 points 1537029870.029 * * * * [misc]points: Setting MPFR precision to 1088 1537029870.031 * * * * [misc]points: Setting MPFR precision to 1344 1537029870.034 * * * * [misc]points: Filtering points with unrepresentable outputs 1537029870.034 * * * * [misc]points: Sampling 28 additional inputs, on iter 10 have 228 / 256 1537029870.034 * * * * [misc]points: Computing exacts for 28 points 1537029870.036 * * * * [misc]points: Setting MPFR precision to 1088 1537029870.037 * * * * [misc]points: Setting MPFR precision to 1344 1537029870.039 * * * * [misc]points: Filtering points with unrepresentable outputs 1537029870.039 * * * * [misc]points: Sampling 26 additional inputs, on iter 11 have 230 / 256 1537029870.039 * * * * [misc]points: Computing exacts for 26 points 1537029870.041 * * * * [misc]points: Setting MPFR precision to 1088 1537029870.042 * * * * [misc]points: Setting MPFR precision to 1344 1537029870.044 * * * * [misc]points: Filtering points with unrepresentable outputs 1537029870.044 * * * * [misc]points: Sampling 23 additional inputs, on iter 12 have 233 / 256 1537029870.044 * * * * [misc]points: Computing exacts for 23 points 1537029870.046 * * * * [misc]points: Setting MPFR precision to 1088 1537029870.047 * * * * [misc]points: Setting MPFR precision to 1344 1537029870.049 * * * * [misc]points: Filtering points with unrepresentable outputs 1537029870.049 * * * * [misc]points: Sampling 18 additional inputs, on iter 13 have 238 / 256 1537029870.049 * * * * [misc]points: Computing exacts for 18 points 1537029870.051 * * * * [misc]points: Setting MPFR precision to 1088 1537029870.052 * * * * [misc]points: Setting MPFR precision to 1344 1537029870.053 * * * * [misc]points: Filtering points with unrepresentable outputs 1537029870.053 * * * * [misc]points: Sampling 17 additional inputs, on iter 14 have 239 / 256 1537029870.054 * * * * [misc]points: Computing exacts for 17 points 1537029870.056 * * * * [misc]points: Setting MPFR precision to 1088 1537029870.057 * * * * [misc]points: Setting MPFR precision to 1344 1537029870.058 * * * * [misc]points: Filtering points with unrepresentable outputs 1537029870.058 * * * * [misc]points: Sampling 16 additional inputs, on iter 15 have 240 / 256 1537029870.059 * * * * [misc]points: Computing exacts for 16 points 1537029870.061 * * * * [misc]points: Setting MPFR precision to 1088 1537029870.062 * * * * [misc]points: Setting MPFR precision to 1344 1537029870.063 * * * * [misc]points: Filtering points with unrepresentable outputs 1537029870.063 * * * * [misc]points: Sampling 13 additional inputs, on iter 16 have 243 / 256 1537029870.063 * * * * [misc]points: Computing exacts for 13 points 1537029870.065 * * * * [misc]points: Setting MPFR precision to 1088 1537029870.066 * * * * [misc]points: Setting MPFR precision to 1344 1537029870.067 * * * * [misc]points: Filtering points with unrepresentable outputs 1537029870.067 * * * * [misc]points: Sampling 13 additional inputs, on iter 17 have 243 / 256 1537029870.067 * * * * [misc]points: Computing exacts for 13 points 1537029870.069 * * * * [misc]points: Setting MPFR precision to 1088 1537029870.070 * * * * [misc]points: Setting MPFR precision to 1344 1537029870.071 * * * * [misc]points: Filtering points with unrepresentable outputs 1537029870.071 * * * * [misc]points: Sampling 8 additional inputs, on iter 18 have 248 / 256 1537029870.071 * * * * [misc]points: Computing exacts for 8 points 1537029870.073 * * * * [misc]points: Setting MPFR precision to 1088 1537029870.074 * * * * [misc]points: Setting MPFR precision to 1344 1537029870.074 * * * * [misc]points: Filtering points with unrepresentable outputs 1537029870.074 * * * * [misc]points: Sampling 7 additional inputs, on iter 19 have 249 / 256 1537029870.074 * * * * [misc]points: Computing exacts for 7 points 1537029870.078 * * * * [misc]points: Setting MPFR precision to 1088 1537029870.078 * * * * [misc]points: Setting MPFR precision to 1344 1537029870.079 * * * * [misc]points: Filtering points with unrepresentable outputs 1537029870.079 * * * * [misc]points: Sampling 6 additional inputs, on iter 20 have 250 / 256 1537029870.079 * * * * [misc]points: Computing exacts for 6 points 1537029870.083 * * * * [misc]points: Setting MPFR precision to 1088 1537029870.084 * * * * [misc]points: Setting MPFR precision to 1344 1537029870.085 * * * * [misc]points: Filtering points with unrepresentable outputs 1537029870.085 * * * * [misc]points: Sampling 5 additional inputs, on iter 21 have 251 / 256 1537029870.085 * * * * [misc]points: Computing exacts for 5 points 1537029870.089 * * * * [misc]points: Setting MPFR precision to 1088 1537029870.090 * * * * [misc]points: Setting MPFR precision to 1344 1537029870.090 * * * * [misc]points: Filtering points with unrepresentable outputs 1537029870.090 * * * * [misc]points: Sampling 4 additional inputs, on iter 22 have 252 / 256 1537029870.091 * * * * [misc]points: Computing exacts for 4 points 1537029870.095 * * * * [misc]points: Setting MPFR precision to 1088 1537029870.095 * * * * [misc]points: Setting MPFR precision to 1344 1537029870.096 * * * * [misc]points: Filtering points with unrepresentable outputs 1537029870.096 * * * * [misc]points: Sampling 4 additional inputs, on iter 23 have 253 / 256 1537029870.096 * * * * [misc]points: Computing exacts for 4 points 1537029870.100 * * * * [misc]points: Setting MPFR precision to 1088 1537029870.100 * * * * [misc]points: Setting MPFR precision to 1344 1537029870.101 * * * * [misc]points: Filtering points with unrepresentable outputs 1537029870.101 * * * * [misc]points: Sampling 4 additional inputs, on iter 24 have 255 / 256 1537029870.101 * * * * [misc]points: Computing exacts for 4 points 1537029870.105 * * * * [misc]points: Setting MPFR precision to 1088 1537029870.105 * * * * [misc]points: Setting MPFR precision to 1344 1537029870.106 * * * * [misc]points: Filtering points with unrepresentable outputs 1537029870.106 * * * * [exit]points: Sampled 256 points with exact outputs 1537029870.106 * * * [misc]progress: [2/2] Setting up program. 1537029870.117 * [misc]progress: [Phase 2 of 3] Improving. 1537029870.117 * [enter]simplify: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1537029870.118 * * [misc]simplify: iters left: 6 (13 enodes) 1537029870.142 * * [misc]simplify: iters left: 5 (28 enodes) 1537029870.154 * * [misc]simplify: iters left: 4 (44 enodes) 1537029870.168 * * [misc]simplify: iters left: 3 (54 enodes) 1537029870.183 * * [misc]simplify: iters left: 2 (57 enodes) 1537029870.196 * * [misc]simplify: iters left: 1 (65 enodes) 1537029870.218 * [exit]simplify: Simplified to (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1537029870.240 * * [misc]progress: iteration 1 / 4 1537029870.240 * * * [misc]progress: picking best candidate 1537029870.262 * * * * [misc]pick: Picked # 1537029870.262 * * * [misc]progress: localizing error 1537029870.328 * * * [misc]progress: generating rewritten candidates 1537029870.328 * * * * [misc]progress: [ 1 / 3 ] rewriting at (2) 1537029870.373 * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1 1) 1537029870.393 * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 1) 1537029870.417 * * * [misc]progress: generating series expansions 1537029870.417 * * * * [misc]progress: [ 1 / 3 ] generating series at (2) 1537029870.417 * [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)))) 1537029870.417 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0 1537029870.417 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1537029870.417 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1537029870.417 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1537029870.417 * [misc]taylor: Taking taylor expansion of k in k 1537029870.417 * [misc]backup-simplify: Simplify 0 into 0 1537029870.417 * [misc]backup-simplify: Simplify 1 into 1 1537029870.417 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1537029870.418 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537029870.418 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1537029870.418 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1537029870.418 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1537029870.418 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1537029870.418 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1537029870.418 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537029870.418 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029870.418 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1537029870.418 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537029870.418 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029870.418 * [misc]taylor: Taking taylor expansion of k in k 1537029870.418 * [misc]backup-simplify: Simplify 0 into 0 1537029870.418 * [misc]backup-simplify: Simplify 1 into 1 1537029870.418 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1537029870.418 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1537029870.418 * [misc]taylor: Taking taylor expansion of 2 in k 1537029870.418 * [misc]backup-simplify: Simplify 2 into 2 1537029870.418 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1537029870.418 * [misc]taylor: Taking taylor expansion of n in k 1537029870.418 * [misc]backup-simplify: Simplify n into n 1537029870.418 * [misc]taylor: Taking taylor expansion of PI in k 1537029870.418 * [misc]backup-simplify: Simplify PI into PI 1537029870.418 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1537029870.418 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1537029870.418 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1537029870.419 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1537029870.419 * [misc]backup-simplify: Simplify (- 0) into 0 1537029870.419 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1537029870.419 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1537029870.419 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1537029870.419 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1537029870.419 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1537029870.419 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1537029870.419 * [misc]taylor: Taking taylor expansion of k in n 1537029870.419 * [misc]backup-simplify: Simplify k into k 1537029870.419 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1537029870.419 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1537029870.419 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1537029870.419 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1537029870.419 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1537029870.419 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1537029870.419 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1537029870.419 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1537029870.419 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537029870.419 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029870.420 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1537029870.420 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537029870.420 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029870.420 * [misc]taylor: Taking taylor expansion of k in n 1537029870.420 * [misc]backup-simplify: Simplify k into k 1537029870.420 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1537029870.420 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537029870.420 * [misc]taylor: Taking taylor expansion of 2 in n 1537029870.420 * [misc]backup-simplify: Simplify 2 into 2 1537029870.420 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537029870.420 * [misc]taylor: Taking taylor expansion of n in n 1537029870.420 * [misc]backup-simplify: Simplify 0 into 0 1537029870.420 * [misc]backup-simplify: Simplify 1 into 1 1537029870.420 * [misc]taylor: Taking taylor expansion of PI in n 1537029870.420 * [misc]backup-simplify: Simplify PI into PI 1537029870.420 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537029870.420 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537029870.421 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537029870.421 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537029870.421 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537029870.421 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1537029870.421 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1537029870.421 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1537029870.422 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537029870.422 * [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)))) 1537029870.423 * [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))))) 1537029870.423 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1537029870.423 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1537029870.423 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1537029870.423 * [misc]taylor: Taking taylor expansion of k in n 1537029870.423 * [misc]backup-simplify: Simplify k into k 1537029870.423 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1537029870.423 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1537029870.423 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1537029870.423 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1537029870.423 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1537029870.423 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1537029870.423 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1537029870.423 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1537029870.423 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537029870.423 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029870.423 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1537029870.423 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537029870.423 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029870.423 * [misc]taylor: Taking taylor expansion of k in n 1537029870.423 * [misc]backup-simplify: Simplify k into k 1537029870.423 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1537029870.423 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537029870.423 * [misc]taylor: Taking taylor expansion of 2 in n 1537029870.423 * [misc]backup-simplify: Simplify 2 into 2 1537029870.423 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537029870.423 * [misc]taylor: Taking taylor expansion of n in n 1537029870.424 * [misc]backup-simplify: Simplify 0 into 0 1537029870.424 * [misc]backup-simplify: Simplify 1 into 1 1537029870.424 * [misc]taylor: Taking taylor expansion of PI in n 1537029870.424 * [misc]backup-simplify: Simplify PI into PI 1537029870.424 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537029870.424 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537029870.424 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537029870.425 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537029870.425 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537029870.425 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1537029870.425 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1537029870.425 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1537029870.426 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537029870.426 * [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)))) 1537029870.427 * [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))))) 1537029870.427 * [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))) 1537029870.427 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k 1537029870.427 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1537029870.427 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1537029870.427 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1537029870.427 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537029870.427 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029870.427 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1537029870.427 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537029870.427 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029870.427 * [misc]taylor: Taking taylor expansion of k in k 1537029870.427 * [misc]backup-simplify: Simplify 0 into 0 1537029870.427 * [misc]backup-simplify: Simplify 1 into 1 1537029870.427 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1537029870.428 * [misc]taylor: Taking taylor expansion of (log n) in k 1537029870.428 * [misc]taylor: Taking taylor expansion of n in k 1537029870.428 * [misc]backup-simplify: Simplify n into n 1537029870.428 * [misc]backup-simplify: Simplify (log n) into (log n) 1537029870.428 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1537029870.428 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1537029870.428 * [misc]taylor: Taking taylor expansion of 2 in k 1537029870.428 * [misc]backup-simplify: Simplify 2 into 2 1537029870.428 * [misc]taylor: Taking taylor expansion of PI in k 1537029870.428 * [misc]backup-simplify: Simplify PI into PI 1537029870.428 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537029870.428 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537029870.428 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1537029870.428 * [misc]backup-simplify: Simplify (- 0) into 0 1537029870.429 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1537029870.429 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537029870.429 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1537029870.430 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1537029870.430 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1537029870.430 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1537029870.430 * [misc]taylor: Taking taylor expansion of k in k 1537029870.430 * [misc]backup-simplify: Simplify 0 into 0 1537029870.430 * [misc]backup-simplify: Simplify 1 into 1 1537029870.430 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1537029870.430 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537029870.430 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1537029870.431 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 1537029870.431 * [misc]backup-simplify: Simplify 0 into 0 1537029870.432 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1537029870.432 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1537029870.434 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537029870.434 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1537029870.434 * [misc]backup-simplify: Simplify (- 0) into 0 1537029870.435 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537029870.435 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537029870.435 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1537029870.437 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1537029870.437 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0 1537029870.437 * [misc]taylor: Taking taylor expansion of 0 in k 1537029870.437 * [misc]backup-simplify: Simplify 0 into 0 1537029870.438 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1537029870.438 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537029870.440 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537029870.440 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537029870.440 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1537029870.441 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1537029870.441 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1537029870.441 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1537029870.442 * [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))))))) 1537029870.444 * [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))))))) 1537029870.444 * [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))))))) 1537029870.445 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1537029870.446 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1537029870.450 * [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 1537029870.451 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1537029870.451 * [misc]backup-simplify: Simplify (- 0) into 0 1537029870.451 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537029870.451 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537029870.452 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1537029870.453 * [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 1537029870.453 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537029870.454 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1537029870.454 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0 1537029870.455 * [misc]taylor: Taking taylor expansion of 0 in k 1537029870.455 * [misc]backup-simplify: Simplify 0 into 0 1537029870.455 * [misc]backup-simplify: Simplify 0 into 0 1537029870.455 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1537029870.456 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1537029870.460 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1537029870.461 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1537029870.467 * [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 1537029870.467 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537029870.467 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1537029870.468 * [misc]backup-simplify: Simplify (- 0) into 0 1537029870.468 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537029870.469 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1537029870.472 * [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))))) 1537029870.479 * [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)))))))) 1537029870.482 * [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)))))))) 1537029870.484 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537029870.485 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1537029870.491 * [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 1537029870.491 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1537029870.491 * [misc]backup-simplify: Simplify (- 0) into 0 1537029870.492 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537029870.492 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537029870.493 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1537029870.495 * [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 1537029870.495 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537029870.496 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1537029870.496 * [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 1537029870.496 * [misc]taylor: Taking taylor expansion of 0 in k 1537029870.496 * [misc]backup-simplify: Simplify 0 into 0 1537029870.496 * [misc]backup-simplify: Simplify 0 into 0 1537029870.497 * [misc]backup-simplify: Simplify 0 into 0 1537029870.497 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029870.497 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1537029870.500 * [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 1537029870.501 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537029870.506 * [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 1537029870.506 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537029870.507 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1537029870.507 * [misc]backup-simplify: Simplify (- 0) into 0 1537029870.507 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537029870.507 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1537029870.512 * [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))))))) 1537029870.527 * [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)))))))))))))) 1537029870.536 * [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)))))))))))))) 1537029870.548 * [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)))))))))))))))))))))) 1537029870.548 * [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))))) 1537029870.548 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0 1537029870.548 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1537029870.548 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1537029870.548 * [misc]taylor: Taking taylor expansion of k in k 1537029870.548 * [misc]backup-simplify: Simplify 0 into 0 1537029870.548 * [misc]backup-simplify: Simplify 1 into 1 1537029870.548 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537029870.548 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1537029870.548 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1537029870.549 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1537029870.549 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1537029870.549 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1537029870.549 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537029870.549 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029870.549 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1537029870.549 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537029870.549 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029870.549 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1537029870.549 * [misc]taylor: Taking taylor expansion of k in k 1537029870.549 * [misc]backup-simplify: Simplify 0 into 0 1537029870.549 * [misc]backup-simplify: Simplify 1 into 1 1537029870.549 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1537029870.549 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1537029870.549 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1537029870.549 * [misc]taylor: Taking taylor expansion of 2 in k 1537029870.549 * [misc]backup-simplify: Simplify 2 into 2 1537029870.549 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1537029870.549 * [misc]taylor: Taking taylor expansion of PI in k 1537029870.549 * [misc]backup-simplify: Simplify PI into PI 1537029870.549 * [misc]taylor: Taking taylor expansion of n in k 1537029870.549 * [misc]backup-simplify: Simplify n into n 1537029870.549 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537029870.549 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1537029870.549 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1537029870.550 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1537029870.550 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1537029870.550 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1537029870.550 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1537029870.550 * [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)))) 1537029870.550 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1537029870.550 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1537029870.550 * [misc]taylor: Taking taylor expansion of k in n 1537029870.550 * [misc]backup-simplify: Simplify k into k 1537029870.550 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1537029870.550 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1537029870.550 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1537029870.550 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1537029870.550 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1537029870.550 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1537029870.550 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537029870.550 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029870.550 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1537029870.550 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537029870.550 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029870.550 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1537029870.550 * [misc]taylor: Taking taylor expansion of k in n 1537029870.550 * [misc]backup-simplify: Simplify k into k 1537029870.550 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1537029870.550 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1537029870.551 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537029870.551 * [misc]taylor: Taking taylor expansion of 2 in n 1537029870.551 * [misc]backup-simplify: Simplify 2 into 2 1537029870.551 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537029870.551 * [misc]taylor: Taking taylor expansion of PI in n 1537029870.551 * [misc]backup-simplify: Simplify PI into PI 1537029870.551 * [misc]taylor: Taking taylor expansion of n in n 1537029870.551 * [misc]backup-simplify: Simplify 0 into 0 1537029870.551 * [misc]backup-simplify: Simplify 1 into 1 1537029870.551 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537029870.551 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537029870.551 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537029870.552 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1537029870.552 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1537029870.552 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1537029870.552 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537029870.553 * [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))) 1537029870.553 * [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)))) 1537029870.553 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1537029870.553 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1537029870.553 * [misc]taylor: Taking taylor expansion of k in n 1537029870.553 * [misc]backup-simplify: Simplify k into k 1537029870.553 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1537029870.553 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1537029870.553 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1537029870.553 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1537029870.553 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1537029870.553 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1537029870.553 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537029870.553 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029870.553 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1537029870.553 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537029870.553 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029870.553 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1537029870.553 * [misc]taylor: Taking taylor expansion of k in n 1537029870.553 * [misc]backup-simplify: Simplify k into k 1537029870.553 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1537029870.553 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1537029870.554 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537029870.554 * [misc]taylor: Taking taylor expansion of 2 in n 1537029870.554 * [misc]backup-simplify: Simplify 2 into 2 1537029870.554 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537029870.554 * [misc]taylor: Taking taylor expansion of PI in n 1537029870.554 * [misc]backup-simplify: Simplify PI into PI 1537029870.554 * [misc]taylor: Taking taylor expansion of n in n 1537029870.554 * [misc]backup-simplify: Simplify 0 into 0 1537029870.554 * [misc]backup-simplify: Simplify 1 into 1 1537029870.554 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537029870.554 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537029870.554 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537029870.554 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1537029870.554 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1537029870.555 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1537029870.555 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537029870.555 * [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))) 1537029870.556 * [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)))) 1537029870.556 * [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)) 1537029870.557 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k 1537029870.557 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1537029870.557 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1537029870.557 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1537029870.557 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537029870.557 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029870.557 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1537029870.557 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537029870.557 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029870.557 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1537029870.557 * [misc]taylor: Taking taylor expansion of k in k 1537029870.557 * [misc]backup-simplify: Simplify 0 into 0 1537029870.557 * [misc]backup-simplify: Simplify 1 into 1 1537029870.557 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1537029870.557 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1537029870.557 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1537029870.557 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1537029870.557 * [misc]taylor: Taking taylor expansion of 2 in k 1537029870.557 * [misc]backup-simplify: Simplify 2 into 2 1537029870.557 * [misc]taylor: Taking taylor expansion of PI in k 1537029870.557 * [misc]backup-simplify: Simplify PI into PI 1537029870.557 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537029870.558 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537029870.558 * [misc]taylor: Taking taylor expansion of (log n) in k 1537029870.558 * [misc]taylor: Taking taylor expansion of n in k 1537029870.558 * [misc]backup-simplify: Simplify n into n 1537029870.558 * [misc]backup-simplify: Simplify (log n) into (log n) 1537029870.558 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1537029870.558 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1537029870.558 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1537029870.558 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1537029870.558 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1537029870.559 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1537029870.559 * [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)))) 1537029870.559 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1537029870.559 * [misc]taylor: Taking taylor expansion of k in k 1537029870.559 * [misc]backup-simplify: Simplify 0 into 0 1537029870.559 * [misc]backup-simplify: Simplify 1 into 1 1537029870.560 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537029870.560 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1537029870.565 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0 1537029870.565 * [misc]backup-simplify: Simplify 0 into 0 1537029870.566 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537029870.567 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537029870.570 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537029870.570 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1537029870.570 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1537029870.571 * [misc]backup-simplify: Simplify (- 0) into 0 1537029870.571 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537029870.572 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537029870.572 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1537029870.574 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1537029870.575 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1537029870.575 * [misc]taylor: Taking taylor expansion of 0 in k 1537029870.575 * [misc]backup-simplify: Simplify 0 into 0 1537029870.575 * [misc]backup-simplify: Simplify 0 into 0 1537029870.576 * [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)))))) 1537029870.577 * [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)))))) 1537029870.578 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029870.580 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1537029870.585 * [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 1537029870.586 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537029870.586 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1537029870.586 * [misc]backup-simplify: Simplify (- 0) into 0 1537029870.586 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537029870.587 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537029870.588 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1537029870.590 * [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 1537029870.591 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1537029870.592 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1537029870.592 * [misc]taylor: Taking taylor expansion of 0 in k 1537029870.592 * [misc]backup-simplify: Simplify 0 into 0 1537029870.592 * [misc]backup-simplify: Simplify 0 into 0 1537029870.592 * [misc]backup-simplify: Simplify 0 into 0 1537029870.594 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1537029870.595 * [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)))))) 1537029870.596 * [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)))))) 1537029870.597 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029870.599 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537029870.609 * [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 1537029870.609 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537029870.610 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1537029870.610 * [misc]backup-simplify: Simplify (- 0) into 0 1537029870.610 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537029870.611 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537029870.612 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1537029870.616 * [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 1537029870.616 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1537029870.617 * [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 1537029870.618 * [misc]taylor: Taking taylor expansion of 0 in k 1537029870.618 * [misc]backup-simplify: Simplify 0 into 0 1537029870.618 * [misc]backup-simplify: Simplify 0 into 0 1537029870.618 * [misc]backup-simplify: Simplify 0 into 0 1537029870.618 * [misc]backup-simplify: Simplify 0 into 0 1537029870.619 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1537029870.620 * [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)))))) 1537029870.621 * [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)))))) 1537029870.624 * [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)))))))) 1537029870.625 * [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))) 1537029870.625 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1537029870.625 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1537029870.625 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1537029870.625 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1537029870.625 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1537029870.625 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1537029870.625 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1537029870.625 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537029870.625 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029870.625 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1537029870.625 * [misc]taylor: Taking taylor expansion of k in k 1537029870.625 * [misc]backup-simplify: Simplify 0 into 0 1537029870.625 * [misc]backup-simplify: Simplify 1 into 1 1537029870.626 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1537029870.626 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537029870.626 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029870.626 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1537029870.626 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1537029870.626 * [misc]taylor: Taking taylor expansion of -2 in k 1537029870.626 * [misc]backup-simplify: Simplify -2 into -2 1537029870.626 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1537029870.626 * [misc]taylor: Taking taylor expansion of PI in k 1537029870.626 * [misc]backup-simplify: Simplify PI into PI 1537029870.626 * [misc]taylor: Taking taylor expansion of n in k 1537029870.626 * [misc]backup-simplify: Simplify n into n 1537029870.626 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537029870.626 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1537029870.626 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1537029870.627 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1537029870.627 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1537029870.627 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1537029870.627 * [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))) 1537029870.627 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1537029870.627 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1537029870.627 * [misc]taylor: Taking taylor expansion of -1 in k 1537029870.627 * [misc]backup-simplify: Simplify -1 into -1 1537029870.627 * [misc]taylor: Taking taylor expansion of k in k 1537029870.627 * [misc]backup-simplify: Simplify 0 into 0 1537029870.627 * [misc]backup-simplify: Simplify 1 into 1 1537029870.628 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1537029870.628 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537029870.628 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1537029870.629 * [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)))) 1537029870.629 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1537029870.629 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1537029870.629 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1537029870.629 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1537029870.629 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1537029870.629 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1537029870.629 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537029870.629 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029870.629 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1537029870.629 * [misc]taylor: Taking taylor expansion of k in n 1537029870.629 * [misc]backup-simplify: Simplify k into k 1537029870.629 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1537029870.629 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537029870.629 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029870.629 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1537029870.629 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537029870.629 * [misc]taylor: Taking taylor expansion of -2 in n 1537029870.629 * [misc]backup-simplify: Simplify -2 into -2 1537029870.629 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537029870.629 * [misc]taylor: Taking taylor expansion of PI in n 1537029870.629 * [misc]backup-simplify: Simplify PI into PI 1537029870.629 * [misc]taylor: Taking taylor expansion of n in n 1537029870.629 * [misc]backup-simplify: Simplify 0 into 0 1537029870.629 * [misc]backup-simplify: Simplify 1 into 1 1537029870.630 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537029870.630 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537029870.631 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537029870.631 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1537029870.631 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1537029870.632 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537029870.632 * [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))) 1537029870.633 * [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)))) 1537029870.633 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1537029870.633 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1537029870.633 * [misc]taylor: Taking taylor expansion of -1 in n 1537029870.633 * [misc]backup-simplify: Simplify -1 into -1 1537029870.633 * [misc]taylor: Taking taylor expansion of k in n 1537029870.633 * [misc]backup-simplify: Simplify k into k 1537029870.633 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1537029870.633 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1537029870.633 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1537029870.634 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1537029870.634 * [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))) 1537029870.635 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1537029870.635 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1537029870.635 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1537029870.635 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1537029870.635 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1537029870.635 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1537029870.635 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537029870.635 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029870.635 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1537029870.635 * [misc]taylor: Taking taylor expansion of k in n 1537029870.635 * [misc]backup-simplify: Simplify k into k 1537029870.635 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1537029870.635 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537029870.635 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029870.635 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1537029870.635 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537029870.635 * [misc]taylor: Taking taylor expansion of -2 in n 1537029870.635 * [misc]backup-simplify: Simplify -2 into -2 1537029870.635 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537029870.635 * [misc]taylor: Taking taylor expansion of PI in n 1537029870.635 * [misc]backup-simplify: Simplify PI into PI 1537029870.635 * [misc]taylor: Taking taylor expansion of n in n 1537029870.635 * [misc]backup-simplify: Simplify 0 into 0 1537029870.635 * [misc]backup-simplify: Simplify 1 into 1 1537029870.636 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537029870.636 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537029870.636 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537029870.637 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1537029870.637 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1537029870.637 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537029870.638 * [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))) 1537029870.639 * [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)))) 1537029870.639 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1537029870.639 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1537029870.639 * [misc]taylor: Taking taylor expansion of -1 in n 1537029870.639 * [misc]backup-simplify: Simplify -1 into -1 1537029870.639 * [misc]taylor: Taking taylor expansion of k in n 1537029870.639 * [misc]backup-simplify: Simplify k into k 1537029870.639 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1537029870.639 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1537029870.639 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1537029870.640 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1537029870.640 * [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))) 1537029870.640 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k 1537029870.641 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1537029870.641 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1537029870.641 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1537029870.641 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1537029870.641 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537029870.641 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029870.641 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1537029870.641 * [misc]taylor: Taking taylor expansion of k in k 1537029870.641 * [misc]backup-simplify: Simplify 0 into 0 1537029870.641 * [misc]backup-simplify: Simplify 1 into 1 1537029870.641 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1537029870.641 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537029870.641 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029870.641 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1537029870.641 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1537029870.641 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1537029870.641 * [misc]taylor: Taking taylor expansion of -2 in k 1537029870.641 * [misc]backup-simplify: Simplify -2 into -2 1537029870.641 * [misc]taylor: Taking taylor expansion of PI in k 1537029870.641 * [misc]backup-simplify: Simplify PI into PI 1537029870.642 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537029870.642 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537029870.642 * [misc]taylor: Taking taylor expansion of (log n) in k 1537029870.642 * [misc]taylor: Taking taylor expansion of n in k 1537029870.642 * [misc]backup-simplify: Simplify n into n 1537029870.642 * [misc]backup-simplify: Simplify (log n) into (log n) 1537029870.642 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1537029870.643 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1537029870.643 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1537029870.643 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1537029870.644 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1537029870.645 * [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)))) 1537029870.645 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1537029870.645 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1537029870.645 * [misc]taylor: Taking taylor expansion of -1 in k 1537029870.645 * [misc]backup-simplify: Simplify -1 into -1 1537029870.645 * [misc]taylor: Taking taylor expansion of k in k 1537029870.645 * [misc]backup-simplify: Simplify 0 into 0 1537029870.645 * [misc]backup-simplify: Simplify 1 into 1 1537029870.645 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1537029870.645 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537029870.646 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1537029870.646 * [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))))) 1537029870.647 * [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))))) 1537029870.648 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537029870.649 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537029870.652 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1537029870.652 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1537029870.652 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1537029870.652 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537029870.653 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537029870.654 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1537029870.656 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1537029870.657 * [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 1537029870.657 * [misc]taylor: Taking taylor expansion of 0 in k 1537029870.657 * [misc]backup-simplify: Simplify 0 into 0 1537029870.657 * [misc]backup-simplify: Simplify 0 into 0 1537029870.658 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1537029870.659 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1537029870.660 * [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)))))) 1537029870.661 * [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)))))) 1537029870.662 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029870.663 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1537029870.669 * [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 1537029870.669 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537029870.669 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1537029870.670 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537029870.670 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537029870.671 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1537029870.674 * [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 1537029870.674 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537029870.675 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1537029870.676 * [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 1537029870.676 * [misc]taylor: Taking taylor expansion of 0 in k 1537029870.676 * [misc]backup-simplify: Simplify 0 into 0 1537029870.676 * [misc]backup-simplify: Simplify 0 into 0 1537029870.676 * [misc]backup-simplify: Simplify 0 into 0 1537029870.677 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029870.678 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1537029870.680 * [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)))))) 1537029870.681 * [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)))))) 1537029870.684 * [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))))))))))) 1537029870.685 * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1 1) 1537029870.685 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1537029870.685 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1537029870.685 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537029870.685 * [misc]taylor: Taking taylor expansion of 2 in n 1537029870.685 * [misc]backup-simplify: Simplify 2 into 2 1537029870.685 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537029870.685 * [misc]taylor: Taking taylor expansion of n in n 1537029870.685 * [misc]backup-simplify: Simplify 0 into 0 1537029870.685 * [misc]backup-simplify: Simplify 1 into 1 1537029870.685 * [misc]taylor: Taking taylor expansion of PI in n 1537029870.685 * [misc]backup-simplify: Simplify PI into PI 1537029870.685 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537029870.685 * [misc]taylor: Taking taylor expansion of 2 in n 1537029870.685 * [misc]backup-simplify: Simplify 2 into 2 1537029870.686 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537029870.686 * [misc]taylor: Taking taylor expansion of n in n 1537029870.686 * [misc]backup-simplify: Simplify 0 into 0 1537029870.686 * [misc]backup-simplify: Simplify 1 into 1 1537029870.686 * [misc]taylor: Taking taylor expansion of PI in n 1537029870.686 * [misc]backup-simplify: Simplify PI into PI 1537029870.686 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537029870.686 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537029870.686 * [misc]backup-simplify: Simplify 0 into 0 1537029870.687 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537029870.688 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537029870.688 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537029870.689 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1537029870.690 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1537029870.690 * [misc]backup-simplify: Simplify 0 into 0 1537029870.692 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1537029870.694 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1537029870.694 * [misc]backup-simplify: Simplify 0 into 0 1537029870.696 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537029870.697 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1537029870.697 * [misc]backup-simplify: Simplify 0 into 0 1537029870.699 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537029870.700 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1537029870.700 * [misc]backup-simplify: Simplify 0 into 0 1537029870.702 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537029870.705 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1537029870.705 * [misc]backup-simplify: Simplify 0 into 0 1537029870.709 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1537029870.711 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1537029870.711 * [misc]backup-simplify: Simplify 0 into 0 1537029870.712 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1537029870.712 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1537029870.712 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1537029870.712 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537029870.712 * [misc]taylor: Taking taylor expansion of 2 in n 1537029870.712 * [misc]backup-simplify: Simplify 2 into 2 1537029870.712 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537029870.712 * [misc]taylor: Taking taylor expansion of PI in n 1537029870.712 * [misc]backup-simplify: Simplify PI into PI 1537029870.712 * [misc]taylor: Taking taylor expansion of n in n 1537029870.712 * [misc]backup-simplify: Simplify 0 into 0 1537029870.712 * [misc]backup-simplify: Simplify 1 into 1 1537029870.712 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537029870.712 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537029870.712 * [misc]taylor: Taking taylor expansion of 2 in n 1537029870.712 * [misc]backup-simplify: Simplify 2 into 2 1537029870.712 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537029870.712 * [misc]taylor: Taking taylor expansion of PI in n 1537029870.712 * [misc]backup-simplify: Simplify PI into PI 1537029870.712 * [misc]taylor: Taking taylor expansion of n in n 1537029870.712 * [misc]backup-simplify: Simplify 0 into 0 1537029870.712 * [misc]backup-simplify: Simplify 1 into 1 1537029870.713 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537029870.713 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537029870.713 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537029870.714 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537029870.714 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537029870.714 * [misc]backup-simplify: Simplify 0 into 0 1537029870.715 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029870.716 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1537029870.716 * [misc]backup-simplify: Simplify 0 into 0 1537029870.717 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029870.718 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537029870.718 * [misc]backup-simplify: Simplify 0 into 0 1537029870.719 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029870.720 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537029870.720 * [misc]backup-simplify: Simplify 0 into 0 1537029870.722 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029870.723 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537029870.723 * [misc]backup-simplify: Simplify 0 into 0 1537029870.725 * [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 1537029870.727 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537029870.727 * [misc]backup-simplify: Simplify 0 into 0 1537029870.727 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1537029870.727 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1537029870.727 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1537029870.727 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537029870.727 * [misc]taylor: Taking taylor expansion of -2 in n 1537029870.727 * [misc]backup-simplify: Simplify -2 into -2 1537029870.727 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537029870.727 * [misc]taylor: Taking taylor expansion of PI in n 1537029870.727 * [misc]backup-simplify: Simplify PI into PI 1537029870.727 * [misc]taylor: Taking taylor expansion of n in n 1537029870.727 * [misc]backup-simplify: Simplify 0 into 0 1537029870.727 * [misc]backup-simplify: Simplify 1 into 1 1537029870.728 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537029870.728 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537029870.728 * [misc]taylor: Taking taylor expansion of -2 in n 1537029870.728 * [misc]backup-simplify: Simplify -2 into -2 1537029870.728 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537029870.728 * [misc]taylor: Taking taylor expansion of PI in n 1537029870.728 * [misc]backup-simplify: Simplify PI into PI 1537029870.728 * [misc]taylor: Taking taylor expansion of n in n 1537029870.728 * [misc]backup-simplify: Simplify 0 into 0 1537029870.728 * [misc]backup-simplify: Simplify 1 into 1 1537029870.728 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537029870.728 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537029870.728 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537029870.729 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537029870.729 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537029870.729 * [misc]backup-simplify: Simplify 0 into 0 1537029870.730 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029870.731 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1537029870.731 * [misc]backup-simplify: Simplify 0 into 0 1537029870.732 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029870.733 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537029870.733 * [misc]backup-simplify: Simplify 0 into 0 1537029870.734 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029870.736 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537029870.736 * [misc]backup-simplify: Simplify 0 into 0 1537029870.737 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029870.739 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537029870.739 * [misc]backup-simplify: Simplify 0 into 0 1537029870.741 * [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 1537029870.744 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537029870.744 * [misc]backup-simplify: Simplify 0 into 0 1537029870.745 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1537029870.745 * * * * [misc]progress: [ 3 / 3 ] generating series at (2 1) 1537029870.745 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1537029870.746 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1537029870.746 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1537029870.746 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1537029870.746 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1537029870.746 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1537029870.746 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537029870.746 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029870.746 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1537029870.746 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537029870.746 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029870.746 * [misc]taylor: Taking taylor expansion of k in k 1537029870.746 * [misc]backup-simplify: Simplify 0 into 0 1537029870.746 * [misc]backup-simplify: Simplify 1 into 1 1537029870.746 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1537029870.746 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1537029870.746 * [misc]taylor: Taking taylor expansion of 2 in k 1537029870.746 * [misc]backup-simplify: Simplify 2 into 2 1537029870.746 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1537029870.746 * [misc]taylor: Taking taylor expansion of n in k 1537029870.746 * [misc]backup-simplify: Simplify n into n 1537029870.746 * [misc]taylor: Taking taylor expansion of PI in k 1537029870.746 * [misc]backup-simplify: Simplify PI into PI 1537029870.746 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1537029870.746 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1537029870.747 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1537029870.747 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1537029870.747 * [misc]backup-simplify: Simplify (- 0) into 0 1537029870.747 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1537029870.747 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1537029870.748 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1537029870.748 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1537029870.748 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1537029870.748 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1537029870.748 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1537029870.748 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537029870.748 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029870.748 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1537029870.748 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537029870.748 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029870.748 * [misc]taylor: Taking taylor expansion of k in n 1537029870.748 * [misc]backup-simplify: Simplify k into k 1537029870.748 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1537029870.748 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537029870.748 * [misc]taylor: Taking taylor expansion of 2 in n 1537029870.748 * [misc]backup-simplify: Simplify 2 into 2 1537029870.748 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537029870.748 * [misc]taylor: Taking taylor expansion of n in n 1537029870.748 * [misc]backup-simplify: Simplify 0 into 0 1537029870.748 * [misc]backup-simplify: Simplify 1 into 1 1537029870.748 * [misc]taylor: Taking taylor expansion of PI in n 1537029870.748 * [misc]backup-simplify: Simplify PI into PI 1537029870.749 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537029870.749 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537029870.749 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537029870.750 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537029870.751 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537029870.751 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1537029870.751 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1537029870.751 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1537029870.752 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537029870.752 * [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)))) 1537029870.753 * [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))))) 1537029870.753 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1537029870.753 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1537029870.753 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1537029870.753 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1537029870.753 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537029870.753 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029870.753 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1537029870.753 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537029870.753 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029870.753 * [misc]taylor: Taking taylor expansion of k in n 1537029870.754 * [misc]backup-simplify: Simplify k into k 1537029870.754 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1537029870.754 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537029870.754 * [misc]taylor: Taking taylor expansion of 2 in n 1537029870.754 * [misc]backup-simplify: Simplify 2 into 2 1537029870.754 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537029870.754 * [misc]taylor: Taking taylor expansion of n in n 1537029870.754 * [misc]backup-simplify: Simplify 0 into 0 1537029870.754 * [misc]backup-simplify: Simplify 1 into 1 1537029870.754 * [misc]taylor: Taking taylor expansion of PI in n 1537029870.754 * [misc]backup-simplify: Simplify PI into PI 1537029870.754 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537029870.754 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537029870.755 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537029870.756 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537029870.756 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537029870.756 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1537029870.756 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1537029870.756 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1537029870.757 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537029870.758 * [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)))) 1537029870.759 * [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))))) 1537029870.759 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1537029870.759 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1537029870.759 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1537029870.759 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537029870.759 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029870.759 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1537029870.759 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537029870.759 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029870.759 * [misc]taylor: Taking taylor expansion of k in k 1537029870.759 * [misc]backup-simplify: Simplify 0 into 0 1537029870.759 * [misc]backup-simplify: Simplify 1 into 1 1537029870.759 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1537029870.759 * [misc]taylor: Taking taylor expansion of (log n) in k 1537029870.759 * [misc]taylor: Taking taylor expansion of n in k 1537029870.759 * [misc]backup-simplify: Simplify n into n 1537029870.759 * [misc]backup-simplify: Simplify (log n) into (log n) 1537029870.759 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1537029870.759 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1537029870.759 * [misc]taylor: Taking taylor expansion of 2 in k 1537029870.759 * [misc]backup-simplify: Simplify 2 into 2 1537029870.759 * [misc]taylor: Taking taylor expansion of PI in k 1537029870.760 * [misc]backup-simplify: Simplify PI into PI 1537029870.760 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537029870.760 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537029870.761 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1537029870.761 * [misc]backup-simplify: Simplify (- 0) into 0 1537029870.761 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1537029870.762 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537029870.762 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1537029870.763 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1537029870.764 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1537029870.765 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1537029870.766 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1537029870.769 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537029870.770 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1537029870.770 * [misc]backup-simplify: Simplify (- 0) into 0 1537029870.770 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537029870.771 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537029870.772 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1537029870.773 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1537029870.773 * [misc]taylor: Taking taylor expansion of 0 in k 1537029870.773 * [misc]backup-simplify: Simplify 0 into 0 1537029870.773 * [misc]backup-simplify: Simplify 0 into 0 1537029870.774 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1537029870.775 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537029870.778 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537029870.779 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537029870.779 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1537029870.779 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1537029870.779 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1537029870.780 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1537029870.781 * [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))))))) 1537029870.782 * [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))))))) 1537029870.783 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1537029870.784 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1537029870.788 * [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 1537029870.788 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1537029870.788 * [misc]backup-simplify: Simplify (- 0) into 0 1537029870.788 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537029870.789 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537029870.789 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1537029870.791 * [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 1537029870.791 * [misc]taylor: Taking taylor expansion of 0 in k 1537029870.791 * [misc]backup-simplify: Simplify 0 into 0 1537029870.791 * [misc]backup-simplify: Simplify 0 into 0 1537029870.791 * [misc]backup-simplify: Simplify 0 into 0 1537029870.792 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1537029870.793 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1537029870.796 * [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 1537029870.796 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537029870.796 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1537029870.796 * [misc]backup-simplify: Simplify (- 0) into 0 1537029870.797 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537029870.797 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1537029870.799 * [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))))) 1537029870.802 * [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))))) 1537029870.807 * [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))))) 1537029870.807 * [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)))) 1537029870.807 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1537029870.807 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1537029870.807 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1537029870.807 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1537029870.807 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1537029870.808 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537029870.808 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029870.808 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1537029870.808 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537029870.808 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029870.808 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1537029870.808 * [misc]taylor: Taking taylor expansion of k in k 1537029870.808 * [misc]backup-simplify: Simplify 0 into 0 1537029870.808 * [misc]backup-simplify: Simplify 1 into 1 1537029870.808 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1537029870.808 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1537029870.808 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1537029870.808 * [misc]taylor: Taking taylor expansion of 2 in k 1537029870.808 * [misc]backup-simplify: Simplify 2 into 2 1537029870.808 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1537029870.808 * [misc]taylor: Taking taylor expansion of PI in k 1537029870.808 * [misc]backup-simplify: Simplify PI into PI 1537029870.808 * [misc]taylor: Taking taylor expansion of n in k 1537029870.808 * [misc]backup-simplify: Simplify n into n 1537029870.808 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537029870.808 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1537029870.809 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1537029870.809 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1537029870.809 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1537029870.809 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1537029870.809 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1537029870.810 * [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)))) 1537029870.810 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1537029870.810 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1537029870.810 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1537029870.810 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1537029870.810 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537029870.810 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029870.810 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1537029870.810 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537029870.810 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029870.810 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1537029870.810 * [misc]taylor: Taking taylor expansion of k in n 1537029870.810 * [misc]backup-simplify: Simplify k into k 1537029870.810 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1537029870.810 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1537029870.810 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537029870.810 * [misc]taylor: Taking taylor expansion of 2 in n 1537029870.810 * [misc]backup-simplify: Simplify 2 into 2 1537029870.810 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537029870.810 * [misc]taylor: Taking taylor expansion of PI in n 1537029870.810 * [misc]backup-simplify: Simplify PI into PI 1537029870.810 * [misc]taylor: Taking taylor expansion of n in n 1537029870.810 * [misc]backup-simplify: Simplify 0 into 0 1537029870.810 * [misc]backup-simplify: Simplify 1 into 1 1537029870.811 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537029870.811 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537029870.812 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537029870.812 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1537029870.812 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1537029870.812 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1537029870.813 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537029870.814 * [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))) 1537029870.814 * [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)))) 1537029870.814 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1537029870.814 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1537029870.815 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1537029870.815 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1537029870.815 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537029870.815 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029870.815 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1537029870.815 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537029870.815 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029870.815 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1537029870.815 * [misc]taylor: Taking taylor expansion of k in n 1537029870.815 * [misc]backup-simplify: Simplify k into k 1537029870.815 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1537029870.815 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1537029870.815 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537029870.815 * [misc]taylor: Taking taylor expansion of 2 in n 1537029870.815 * [misc]backup-simplify: Simplify 2 into 2 1537029870.815 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537029870.815 * [misc]taylor: Taking taylor expansion of PI in n 1537029870.815 * [misc]backup-simplify: Simplify PI into PI 1537029870.815 * [misc]taylor: Taking taylor expansion of n in n 1537029870.815 * [misc]backup-simplify: Simplify 0 into 0 1537029870.815 * [misc]backup-simplify: Simplify 1 into 1 1537029870.816 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537029870.818 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537029870.818 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537029870.819 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1537029870.819 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1537029870.819 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1537029870.819 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537029870.820 * [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))) 1537029870.821 * [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)))) 1537029870.821 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1537029870.821 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1537029870.821 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1537029870.821 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537029870.821 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029870.821 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1537029870.821 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537029870.821 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029870.821 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1537029870.821 * [misc]taylor: Taking taylor expansion of k in k 1537029870.821 * [misc]backup-simplify: Simplify 0 into 0 1537029870.821 * [misc]backup-simplify: Simplify 1 into 1 1537029870.822 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1537029870.822 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1537029870.822 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1537029870.822 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1537029870.822 * [misc]taylor: Taking taylor expansion of 2 in k 1537029870.822 * [misc]backup-simplify: Simplify 2 into 2 1537029870.822 * [misc]taylor: Taking taylor expansion of PI in k 1537029870.822 * [misc]backup-simplify: Simplify PI into PI 1537029870.822 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537029870.823 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537029870.823 * [misc]taylor: Taking taylor expansion of (log n) in k 1537029870.823 * [misc]taylor: Taking taylor expansion of n in k 1537029870.823 * [misc]backup-simplify: Simplify n into n 1537029870.823 * [misc]backup-simplify: Simplify (log n) into (log n) 1537029870.823 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1537029870.823 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1537029870.823 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1537029870.823 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1537029870.824 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1537029870.825 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1537029870.825 * [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)))) 1537029870.826 * [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)))) 1537029870.827 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537029870.828 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537029870.831 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537029870.831 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1537029870.831 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1537029870.832 * [misc]backup-simplify: Simplify (- 0) into 0 1537029870.832 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537029870.833 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537029870.833 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1537029870.835 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1537029870.835 * [misc]taylor: Taking taylor expansion of 0 in k 1537029870.835 * [misc]backup-simplify: Simplify 0 into 0 1537029870.835 * [misc]backup-simplify: Simplify 0 into 0 1537029870.835 * [misc]backup-simplify: Simplify 0 into 0 1537029870.837 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029870.838 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1537029870.844 * [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 1537029870.844 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537029870.844 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1537029870.844 * [misc]backup-simplify: Simplify (- 0) into 0 1537029870.844 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537029870.845 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537029870.846 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1537029870.848 * [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 1537029870.848 * [misc]taylor: Taking taylor expansion of 0 in k 1537029870.848 * [misc]backup-simplify: Simplify 0 into 0 1537029870.848 * [misc]backup-simplify: Simplify 0 into 0 1537029870.848 * [misc]backup-simplify: Simplify 0 into 0 1537029870.848 * [misc]backup-simplify: Simplify 0 into 0 1537029870.849 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029870.850 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537029870.856 * [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 1537029870.856 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537029870.857 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1537029870.857 * [misc]backup-simplify: Simplify (- 0) into 0 1537029870.857 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537029870.858 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537029870.858 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1537029870.861 * [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 1537029870.861 * [misc]taylor: Taking taylor expansion of 0 in k 1537029870.861 * [misc]backup-simplify: Simplify 0 into 0 1537029870.861 * [misc]backup-simplify: Simplify 0 into 0 1537029870.861 * [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))))) 1537029870.861 * [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)) 1537029870.861 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1537029870.861 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1537029870.861 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1537029870.861 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1537029870.861 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1537029870.861 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1537029870.862 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537029870.862 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029870.862 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1537029870.862 * [misc]taylor: Taking taylor expansion of k in k 1537029870.862 * [misc]backup-simplify: Simplify 0 into 0 1537029870.862 * [misc]backup-simplify: Simplify 1 into 1 1537029870.862 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1537029870.862 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537029870.862 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029870.862 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1537029870.862 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1537029870.862 * [misc]taylor: Taking taylor expansion of -2 in k 1537029870.862 * [misc]backup-simplify: Simplify -2 into -2 1537029870.862 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1537029870.862 * [misc]taylor: Taking taylor expansion of PI in k 1537029870.862 * [misc]backup-simplify: Simplify PI into PI 1537029870.862 * [misc]taylor: Taking taylor expansion of n in k 1537029870.862 * [misc]backup-simplify: Simplify n into n 1537029870.862 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537029870.862 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1537029870.862 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1537029870.862 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1537029870.862 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1537029870.862 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1537029870.863 * [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))) 1537029870.863 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1537029870.863 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1537029870.863 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1537029870.863 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1537029870.863 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1537029870.863 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537029870.863 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029870.863 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1537029870.863 * [misc]taylor: Taking taylor expansion of k in n 1537029870.863 * [misc]backup-simplify: Simplify k into k 1537029870.863 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1537029870.863 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537029870.863 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029870.863 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1537029870.863 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537029870.863 * [misc]taylor: Taking taylor expansion of -2 in n 1537029870.863 * [misc]backup-simplify: Simplify -2 into -2 1537029870.863 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537029870.863 * [misc]taylor: Taking taylor expansion of PI in n 1537029870.863 * [misc]backup-simplify: Simplify PI into PI 1537029870.863 * [misc]taylor: Taking taylor expansion of n in n 1537029870.863 * [misc]backup-simplify: Simplify 0 into 0 1537029870.863 * [misc]backup-simplify: Simplify 1 into 1 1537029870.863 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537029870.863 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537029870.864 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537029870.864 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1537029870.864 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1537029870.864 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537029870.865 * [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))) 1537029870.865 * [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)))) 1537029870.865 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1537029870.865 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1537029870.865 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1537029870.865 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1537029870.865 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1537029870.865 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537029870.865 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029870.865 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1537029870.865 * [misc]taylor: Taking taylor expansion of k in n 1537029870.866 * [misc]backup-simplify: Simplify k into k 1537029870.866 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1537029870.866 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537029870.866 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029870.866 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1537029870.866 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537029870.866 * [misc]taylor: Taking taylor expansion of -2 in n 1537029870.866 * [misc]backup-simplify: Simplify -2 into -2 1537029870.866 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537029870.866 * [misc]taylor: Taking taylor expansion of PI in n 1537029870.866 * [misc]backup-simplify: Simplify PI into PI 1537029870.866 * [misc]taylor: Taking taylor expansion of n in n 1537029870.866 * [misc]backup-simplify: Simplify 0 into 0 1537029870.866 * [misc]backup-simplify: Simplify 1 into 1 1537029870.866 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537029870.866 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537029870.866 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537029870.867 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1537029870.867 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1537029870.867 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537029870.867 * [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))) 1537029870.868 * [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)))) 1537029870.868 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1537029870.868 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1537029870.868 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1537029870.868 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1537029870.868 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537029870.868 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029870.868 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1537029870.868 * [misc]taylor: Taking taylor expansion of k in k 1537029870.868 * [misc]backup-simplify: Simplify 0 into 0 1537029870.868 * [misc]backup-simplify: Simplify 1 into 1 1537029870.868 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1537029870.868 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537029870.868 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029870.868 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1537029870.868 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1537029870.868 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1537029870.868 * [misc]taylor: Taking taylor expansion of -2 in k 1537029870.868 * [misc]backup-simplify: Simplify -2 into -2 1537029870.868 * [misc]taylor: Taking taylor expansion of PI in k 1537029870.868 * [misc]backup-simplify: Simplify PI into PI 1537029870.869 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537029870.869 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537029870.869 * [misc]taylor: Taking taylor expansion of (log n) in k 1537029870.869 * [misc]taylor: Taking taylor expansion of n in k 1537029870.869 * [misc]backup-simplify: Simplify n into n 1537029870.869 * [misc]backup-simplify: Simplify (log n) into (log n) 1537029870.869 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1537029870.869 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1537029870.869 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1537029870.870 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1537029870.870 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1537029870.871 * [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)))) 1537029870.871 * [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)))) 1537029870.872 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537029870.873 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537029870.874 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1537029870.875 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1537029870.875 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1537029870.875 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537029870.875 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537029870.876 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1537029870.878 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1537029870.878 * [misc]taylor: Taking taylor expansion of 0 in k 1537029870.878 * [misc]backup-simplify: Simplify 0 into 0 1537029870.878 * [misc]backup-simplify: Simplify 0 into 0 1537029870.878 * [misc]backup-simplify: Simplify 0 into 0 1537029870.879 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029870.880 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1537029870.885 * [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 1537029870.885 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537029870.885 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1537029870.885 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537029870.886 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537029870.886 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1537029870.888 * [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 1537029870.888 * [misc]taylor: Taking taylor expansion of 0 in k 1537029870.888 * [misc]backup-simplify: Simplify 0 into 0 1537029870.888 * [misc]backup-simplify: Simplify 0 into 0 1537029870.888 * [misc]backup-simplify: Simplify 0 into 0 1537029870.888 * [misc]backup-simplify: Simplify 0 into 0 1537029870.889 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029870.890 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537029870.896 * [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 1537029870.896 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537029870.896 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1537029870.896 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537029870.897 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537029870.897 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1537029870.900 * [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 1537029870.900 * [misc]taylor: Taking taylor expansion of 0 in k 1537029870.900 * [misc]backup-simplify: Simplify 0 into 0 1537029870.900 * [misc]backup-simplify: Simplify 0 into 0 1537029870.901 * [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))))) 1537029870.901 * * * [misc]progress: simplifying candidates 1537029870.901 * * * * [misc]progress: [ 1 / 83 ] simplifiying candidate # 1537029870.901 * * * * [misc]progress: [ 2 / 83 ] simplifiying candidate # 1537029870.901 * * * * [misc]progress: [ 3 / 83 ] simplifiying candidate # 1537029870.901 * * * * [misc]progress: [ 4 / 83 ] simplifiying candidate # 1537029870.901 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1537029870.902 * * [misc]simplify: iters left: 6 (14 enodes) 1537029870.905 * * [misc]simplify: iters left: 5 (27 enodes) 1537029870.914 * * [misc]simplify: iters left: 4 (55 enodes) 1537029870.952 * * [misc]simplify: iters left: 3 (144 enodes) 1537029871.129 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))) 1537029871.129 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))))) 1537029871.129 * * * * [misc]progress: [ 5 / 83 ] simplifiying candidate # 1537029871.129 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1537029871.130 * * [misc]simplify: iters left: 6 (14 enodes) 1537029871.134 * * [misc]simplify: iters left: 5 (27 enodes) 1537029871.144 * * [misc]simplify: iters left: 4 (55 enodes) 1537029871.166 * * [misc]simplify: iters left: 3 (144 enodes) 1537029871.346 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))) 1537029871.346 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))))) 1537029871.346 * * * * [misc]progress: [ 6 / 83 ] simplifiying candidate # 1537029871.346 * [enter]simplify: Simplifying (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k))) 1537029871.347 * * [misc]simplify: iters left: 6 (14 enodes) 1537029871.350 * * [misc]simplify: iters left: 5 (24 enodes) 1537029871.357 * * [misc]simplify: iters left: 4 (43 enodes) 1537029871.366 * * [misc]simplify: iters left: 3 (73 enodes) 1537029871.408 * * [misc]simplify: iters left: 2 (220 enodes) 1537029871.724 * [exit]simplify: Simplified to (fma (log (* (* PI 2) n)) (- 1/2 (/ k 2)) (- (log (sqrt k)))) 1537029871.724 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log (* (* PI 2) n)) (- 1/2 (/ k 2)) (- (log (sqrt k)))))) 1537029871.724 * * * * [misc]progress: [ 7 / 83 ] simplifiying candidate # 1537029871.724 * * * * [misc]progress: [ 8 / 83 ] simplifiying candidate # 1537029871.724 * * * * [misc]progress: [ 9 / 83 ] simplifiying candidate # 1537029871.724 * [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))) 1537029871.726 * * [misc]simplify: iters left: 6 (16 enodes) 1537029871.735 * * [misc]simplify: iters left: 5 (31 enodes) 1537029871.750 * * [misc]simplify: iters left: 4 (67 enodes) 1537029871.774 * * [misc]simplify: iters left: 3 (124 enodes) 1537029871.805 * * [misc]simplify: iters left: 2 (195 enodes) 1537029871.878 * * [misc]simplify: iters left: 1 (309 enodes) 1537029872.098 * [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)))) 1537029872.098 * [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)))))) 1537029872.098 * * * * [misc]progress: [ 10 / 83 ] simplifiying candidate # 1537029872.098 * * * * [misc]progress: [ 11 / 83 ] simplifiying candidate # 1537029872.098 * * * * [misc]progress: [ 12 / 83 ] simplifiying candidate # 1537029872.098 * * * * [misc]progress: [ 13 / 83 ] simplifiying candidate # 1537029872.098 * * * * [misc]progress: [ 14 / 83 ] simplifiying candidate # 1537029872.098 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537029872.100 * * [misc]simplify: iters left: 6 (12 enodes) 1537029872.105 * * [misc]simplify: iters left: 5 (19 enodes) 1537029872.112 * * [misc]simplify: iters left: 4 (25 enodes) 1537029872.121 * * [misc]simplify: iters left: 3 (26 enodes) 1537029872.130 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537029872.130 * [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))))) 1537029872.130 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1537029872.131 * * [misc]simplify: iters left: 6 (12 enodes) 1537029872.137 * * [misc]simplify: iters left: 5 (18 enodes) 1537029872.146 * * [misc]simplify: iters left: 4 (24 enodes) 1537029872.154 * * [misc]simplify: iters left: 3 (25 enodes) 1537029872.163 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1537029872.163 * [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))))) 1537029872.163 * * * * [misc]progress: [ 15 / 83 ] simplifiying candidate # 1537029872.163 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1537029872.164 * * [misc]simplify: iters left: 6 (11 enodes) 1537029872.169 * * [misc]simplify: iters left: 5 (16 enodes) 1537029872.175 * * [misc]simplify: iters left: 4 (22 enodes) 1537029872.182 * * [misc]simplify: iters left: 3 (24 enodes) 1537029872.190 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1537029872.190 * [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))))) 1537029872.191 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1537029872.192 * * [misc]simplify: iters left: 6 (12 enodes) 1537029872.197 * * [misc]simplify: iters left: 5 (18 enodes) 1537029872.204 * * [misc]simplify: iters left: 4 (24 enodes) 1537029872.211 * * [misc]simplify: iters left: 3 (25 enodes) 1537029872.220 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1537029872.220 * [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))))) 1537029872.220 * * * * [misc]progress: [ 16 / 83 ] simplifiying candidate # 1537029872.220 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1537029872.221 * * [misc]simplify: iters left: 6 (9 enodes) 1537029872.225 * * [misc]simplify: iters left: 5 (16 enodes) 1537029872.232 * * [misc]simplify: iters left: 4 (24 enodes) 1537029872.239 * * [misc]simplify: iters left: 3 (26 enodes) 1537029872.247 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1537029872.247 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1537029872.247 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1537029872.248 * * [misc]simplify: iters left: 6 (11 enodes) 1537029872.252 * * [misc]simplify: iters left: 5 (17 enodes) 1537029872.255 * * [misc]simplify: iters left: 4 (23 enodes) 1537029872.261 * * [misc]simplify: iters left: 3 (24 enodes) 1537029872.265 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1537029872.265 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1537029872.265 * * * * [misc]progress: [ 17 / 83 ] simplifiying candidate # 1537029872.265 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537029872.266 * * [misc]simplify: iters left: 6 (12 enodes) 1537029872.268 * * [misc]simplify: iters left: 5 (19 enodes) 1537029872.272 * * [misc]simplify: iters left: 4 (25 enodes) 1537029872.276 * * [misc]simplify: iters left: 3 (26 enodes) 1537029872.280 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537029872.281 * [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))))) 1537029872.281 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1537029872.282 * * [misc]simplify: iters left: 6 (12 enodes) 1537029872.288 * * [misc]simplify: iters left: 5 (18 enodes) 1537029872.294 * * [misc]simplify: iters left: 4 (24 enodes) 1537029872.302 * * [misc]simplify: iters left: 3 (25 enodes) 1537029872.311 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1537029872.311 * [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))))) 1537029872.311 * * * * [misc]progress: [ 18 / 83 ] simplifiying candidate # 1537029872.311 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1537029872.312 * * [misc]simplify: iters left: 6 (11 enodes) 1537029872.317 * * [misc]simplify: iters left: 5 (16 enodes) 1537029872.323 * * [misc]simplify: iters left: 4 (22 enodes) 1537029872.330 * * [misc]simplify: iters left: 3 (24 enodes) 1537029872.339 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1537029872.339 * [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))))) 1537029872.339 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1537029872.340 * * [misc]simplify: iters left: 6 (12 enodes) 1537029872.345 * * [misc]simplify: iters left: 5 (18 enodes) 1537029872.352 * * [misc]simplify: iters left: 4 (24 enodes) 1537029872.360 * * [misc]simplify: iters left: 3 (25 enodes) 1537029872.368 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1537029872.368 * [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))))) 1537029872.368 * * * * [misc]progress: [ 19 / 83 ] simplifiying candidate # 1537029872.368 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1537029872.371 * * [misc]simplify: iters left: 6 (9 enodes) 1537029872.375 * * [misc]simplify: iters left: 5 (16 enodes) 1537029872.382 * * [misc]simplify: iters left: 4 (24 enodes) 1537029872.389 * * [misc]simplify: iters left: 3 (26 enodes) 1537029872.396 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1537029872.396 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1537029872.397 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1537029872.398 * * [misc]simplify: iters left: 6 (11 enodes) 1537029872.403 * * [misc]simplify: iters left: 5 (17 enodes) 1537029872.409 * * [misc]simplify: iters left: 4 (23 enodes) 1537029872.416 * * [misc]simplify: iters left: 3 (24 enodes) 1537029872.423 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1537029872.423 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1537029872.423 * * * * [misc]progress: [ 20 / 83 ] simplifiying candidate # 1537029872.424 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537029872.425 * * [misc]simplify: iters left: 6 (11 enodes) 1537029872.429 * * [misc]simplify: iters left: 5 (15 enodes) 1537029872.434 * * [misc]simplify: iters left: 4 (18 enodes) 1537029872.441 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537029872.441 * [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))))) 1537029872.442 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1537029872.443 * * [misc]simplify: iters left: 6 (11 enodes) 1537029872.447 * * [misc]simplify: iters left: 5 (14 enodes) 1537029872.452 * * [misc]simplify: iters left: 4 (17 enodes) 1537029872.458 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1537029872.458 * [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))))) 1537029872.458 * * * * [misc]progress: [ 21 / 83 ] simplifiying candidate # 1537029872.459 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1537029872.460 * * [misc]simplify: iters left: 6 (10 enodes) 1537029872.463 * * [misc]simplify: iters left: 5 (12 enodes) 1537029872.467 * * [misc]simplify: iters left: 4 (15 enodes) 1537029872.474 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1537029872.474 * [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))))) 1537029872.474 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1537029872.475 * * [misc]simplify: iters left: 6 (11 enodes) 1537029872.480 * * [misc]simplify: iters left: 5 (14 enodes) 1537029872.485 * * [misc]simplify: iters left: 4 (17 enodes) 1537029872.491 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1537029872.492 * [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))))) 1537029872.492 * * * * [misc]progress: [ 22 / 83 ] simplifiying candidate # 1537029872.492 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) 1) 1537029872.493 * * [misc]simplify: iters left: 6 (9 enodes) 1537029872.496 * * [misc]simplify: iters left: 5 (13 enodes) 1537029872.502 * * [misc]simplify: iters left: 4 (18 enodes) 1537029872.509 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1537029872.509 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1537029872.510 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1537029872.510 * * [misc]simplify: iters left: 6 (10 enodes) 1537029872.514 * * [misc]simplify: iters left: 5 (13 enodes) 1537029872.519 * * [misc]simplify: iters left: 4 (16 enodes) 1537029872.525 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1537029872.525 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1537029872.525 * * * * [misc]progress: [ 23 / 83 ] simplifiying candidate # 1537029872.526 * [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)))) 1537029872.527 * * [misc]simplify: iters left: 6 (16 enodes) 1537029872.535 * * [misc]simplify: iters left: 5 (28 enodes) 1537029872.544 * * [misc]simplify: iters left: 4 (46 enodes) 1537029872.552 * * [misc]simplify: iters left: 3 (50 enodes) 1537029872.559 * * [misc]simplify: iters left: 2 (53 enodes) 1537029872.569 * [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)))) 1537029872.569 * [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))))) 1537029872.569 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1537029872.570 * * [misc]simplify: iters left: 6 (14 enodes) 1537029872.573 * * [misc]simplify: iters left: 5 (20 enodes) 1537029872.578 * * [misc]simplify: iters left: 4 (29 enodes) 1537029872.582 * * [misc]simplify: iters left: 3 (30 enodes) 1537029872.587 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1537029872.587 * [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))))) 1537029872.587 * * * * [misc]progress: [ 24 / 83 ] simplifiying candidate # 1537029872.587 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1537029872.588 * * [misc]simplify: iters left: 6 (15 enodes) 1537029872.593 * * [misc]simplify: iters left: 5 (23 enodes) 1537029872.598 * * [misc]simplify: iters left: 4 (34 enodes) 1537029872.608 * * [misc]simplify: iters left: 3 (37 enodes) 1537029872.622 * [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)))))) 1537029872.622 * [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))))) 1537029872.622 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1537029872.624 * * [misc]simplify: iters left: 6 (14 enodes) 1537029872.629 * * [misc]simplify: iters left: 5 (20 enodes) 1537029872.636 * * [misc]simplify: iters left: 4 (29 enodes) 1537029872.641 * * [misc]simplify: iters left: 3 (30 enodes) 1537029872.646 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1537029872.646 * [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))))) 1537029872.646 * * * * [misc]progress: [ 25 / 83 ] simplifiying candidate # 1537029872.646 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1) 1537029872.647 * * [misc]simplify: iters left: 6 (14 enodes) 1537029872.651 * * [misc]simplify: iters left: 5 (24 enodes) 1537029872.656 * * [misc]simplify: iters left: 4 (39 enodes) 1537029872.664 * * [misc]simplify: iters left: 3 (54 enodes) 1537029872.681 * * [misc]simplify: iters left: 2 (80 enodes) 1537029872.705 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1537029872.705 * [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)))) 1537029872.706 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1537029872.707 * * [misc]simplify: iters left: 6 (13 enodes) 1537029872.712 * * [misc]simplify: iters left: 5 (19 enodes) 1537029872.721 * * [misc]simplify: iters left: 4 (28 enodes) 1537029872.730 * * [misc]simplify: iters left: 3 (30 enodes) 1537029872.740 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1537029872.740 * [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)))) 1537029872.740 * * * * [misc]progress: [ 26 / 83 ] simplifiying candidate # 1537029872.740 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537029872.742 * * [misc]simplify: iters left: 6 (15 enodes) 1537029872.749 * * [misc]simplify: iters left: 5 (23 enodes) 1537029872.760 * * [misc]simplify: iters left: 4 (32 enodes) 1537029872.769 * * [misc]simplify: iters left: 3 (34 enodes) 1537029872.780 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537029872.780 * [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))))) 1537029872.781 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1537029872.782 * * [misc]simplify: iters left: 6 (14 enodes) 1537029872.787 * * [misc]simplify: iters left: 5 (20 enodes) 1537029872.795 * * [misc]simplify: iters left: 4 (29 enodes) 1537029872.803 * * [misc]simplify: iters left: 3 (30 enodes) 1537029872.814 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1537029872.814 * [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))))) 1537029872.814 * * * * [misc]progress: [ 27 / 83 ] simplifiying candidate # 1537029872.814 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1537029872.816 * * [misc]simplify: iters left: 6 (14 enodes) 1537029872.825 * * [misc]simplify: iters left: 5 (20 enodes) 1537029872.833 * * [misc]simplify: iters left: 4 (29 enodes) 1537029872.839 * * [misc]simplify: iters left: 3 (30 enodes) 1537029872.844 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1537029872.844 * [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))))) 1537029872.844 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1537029872.845 * * [misc]simplify: iters left: 6 (14 enodes) 1537029872.847 * * [misc]simplify: iters left: 5 (20 enodes) 1537029872.851 * * [misc]simplify: iters left: 4 (29 enodes) 1537029872.856 * * [misc]simplify: iters left: 3 (30 enodes) 1537029872.862 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1537029872.863 * [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))))) 1537029872.863 * * * * [misc]progress: [ 28 / 83 ] simplifiying candidate # 1537029872.863 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1) 1537029872.864 * * [misc]simplify: iters left: 6 (13 enodes) 1537029872.870 * * [misc]simplify: iters left: 5 (21 enodes) 1537029872.879 * * [misc]simplify: iters left: 4 (32 enodes) 1537029872.883 * * [misc]simplify: iters left: 3 (33 enodes) 1537029872.888 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) 1537029872.888 * [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)))) 1537029872.888 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1537029872.889 * * [misc]simplify: iters left: 6 (13 enodes) 1537029872.892 * * [misc]simplify: iters left: 5 (19 enodes) 1537029872.896 * * [misc]simplify: iters left: 4 (28 enodes) 1537029872.900 * * [misc]simplify: iters left: 3 (30 enodes) 1537029872.907 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1537029872.907 * [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)))) 1537029872.907 * * * * [misc]progress: [ 29 / 83 ] simplifiying candidate # 1537029872.907 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537029872.908 * * [misc]simplify: iters left: 6 (6 enodes) 1537029872.909 * * [misc]simplify: iters left: 5 (10 enodes) 1537029872.911 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1537029872.911 * [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))))) 1537029872.911 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1537029872.912 * * [misc]simplify: iters left: 6 (13 enodes) 1537029872.917 * * [misc]simplify: iters left: 5 (19 enodes) 1537029872.924 * * [misc]simplify: iters left: 4 (28 enodes) 1537029872.933 * * [misc]simplify: iters left: 3 (30 enodes) 1537029872.942 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1537029872.942 * [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))))) 1537029872.942 * * * * [misc]progress: [ 30 / 83 ] simplifiying candidate # 1537029872.943 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1537029872.943 * * [misc]simplify: iters left: 4 (5 enodes) 1537029872.945 * * [misc]simplify: iters left: 3 (7 enodes) 1537029872.947 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1537029872.947 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1537029872.947 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1537029872.948 * * [misc]simplify: iters left: 6 (13 enodes) 1537029872.953 * * [misc]simplify: iters left: 5 (19 enodes) 1537029872.961 * * [misc]simplify: iters left: 4 (28 enodes) 1537029872.970 * * [misc]simplify: iters left: 3 (30 enodes) 1537029872.979 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1537029872.980 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1537029872.980 * * * * [misc]progress: [ 31 / 83 ] simplifiying candidate # 1537029872.980 * [enter]simplify: Simplifying (/ 1 1) 1537029872.980 * * [misc]simplify: iters left: 2 (2 enodes) 1537029872.981 * * [misc]simplify: iters left: 1 (4 enodes) 1537029872.982 * [exit]simplify: Simplified to 1 1537029872.982 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) 1537029872.982 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1537029872.983 * * [misc]simplify: iters left: 6 (12 enodes) 1537029872.988 * * [misc]simplify: iters left: 5 (18 enodes) 1537029872.995 * * [misc]simplify: iters left: 4 (27 enodes) 1537029873.004 * * [misc]simplify: iters left: 3 (29 enodes) 1537029873.013 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)) 1537029873.013 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1537029873.013 * * * * [misc]progress: [ 32 / 83 ] simplifiying candidate # 1537029873.013 * * * * [misc]progress: [ 33 / 83 ] simplifiying candidate # 1537029873.013 * * * * [misc]progress: [ 34 / 83 ] simplifiying candidate # 1537029873.013 * * * * [misc]progress: [ 35 / 83 ] simplifiying candidate # 1537029873.013 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1537029873.014 * * [misc]simplify: iters left: 2 (3 enodes) 1537029873.015 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1537029873.015 * [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)))) 1537029873.015 * * * * [misc]progress: [ 36 / 83 ] simplifiying candidate # 1537029873.015 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1537029873.015 * * [misc]simplify: iters left: 2 (3 enodes) 1537029873.016 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1537029873.016 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1537029873.016 * * * * [misc]progress: [ 37 / 83 ] simplifiying candidate # 1537029873.017 * [enter]simplify: Simplifying (sqrt k) 1537029873.017 * * [misc]simplify: iters left: 1 (2 enodes) 1537029873.018 * [exit]simplify: Simplified to (sqrt k) 1537029873.018 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt k))) 1537029873.018 * * * * [misc]progress: [ 38 / 83 ] simplifiying candidate # 1537029873.018 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1537029873.018 * * [misc]simplify: iters left: 5 (7 enodes) 1537029873.021 * * [misc]simplify: iters left: 4 (12 enodes) 1537029873.026 * * [misc]simplify: iters left: 3 (18 enodes) 1537029873.029 * * [misc]simplify: iters left: 2 (20 enodes) 1537029873.032 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1537029873.032 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1537029873.032 * * * * [misc]progress: [ 39 / 83 ] simplifiying candidate # 1537029873.032 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1537029873.033 * * [misc]simplify: iters left: 5 (7 enodes) 1537029873.034 * * [misc]simplify: iters left: 4 (12 enodes) 1537029873.037 * * [misc]simplify: iters left: 3 (18 enodes) 1537029873.040 * * [misc]simplify: iters left: 2 (20 enodes) 1537029873.043 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1537029873.043 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1537029873.043 * * * * [misc]progress: [ 40 / 83 ] simplifiying candidate # 1537029873.043 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1537029873.043 * * [misc]simplify: iters left: 5 (7 enodes) 1537029873.045 * * [misc]simplify: iters left: 4 (9 enodes) 1537029873.046 * * [misc]simplify: iters left: 3 (12 enodes) 1537029873.048 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1537029873.048 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1537029873.048 * * * * [misc]progress: [ 41 / 83 ] simplifiying candidate # 1537029873.048 * [enter]simplify: Simplifying (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1537029873.049 * * [misc]simplify: iters left: 6 (12 enodes) 1537029873.052 * * [misc]simplify: iters left: 5 (18 enodes) 1537029873.056 * * [misc]simplify: iters left: 4 (27 enodes) 1537029873.060 * * [misc]simplify: iters left: 3 (29 enodes) 1537029873.065 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1537029873.065 * [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))))))) 1537029873.065 * * * * [misc]progress: [ 42 / 83 ] simplifiying candidate # 1537029873.065 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1537029873.066 * * [misc]simplify: iters left: 6 (11 enodes) 1537029873.068 * * [misc]simplify: iters left: 5 (17 enodes) 1537029873.072 * * [misc]simplify: iters left: 4 (26 enodes) 1537029873.076 * * [misc]simplify: iters left: 3 (27 enodes) 1537029873.080 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1537029873.080 * [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))))))) 1537029873.080 * * * * [misc]progress: [ 43 / 83 ] simplifiying candidate # 1537029873.080 * * * * [misc]progress: [ 44 / 83 ] simplifiying candidate # 1537029873.080 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1537029873.081 * * [misc]simplify: iters left: 5 (7 enodes) 1537029873.083 * * [misc]simplify: iters left: 4 (12 enodes) 1537029873.085 * * [misc]simplify: iters left: 3 (18 enodes) 1537029873.088 * * [misc]simplify: iters left: 2 (20 enodes) 1537029873.093 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1537029873.093 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) 1537029873.093 * * * * [misc]progress: [ 45 / 83 ] simplifiying candidate # 1537029873.093 * * * * [misc]progress: [ 46 / 83 ] simplifiying candidate # 1537029873.093 * * * * [misc]progress: [ 47 / 83 ] simplifiying candidate # 1537029873.093 * * * * [misc]progress: [ 48 / 83 ] simplifiying candidate # 1537029873.093 * * * * [misc]progress: [ 49 / 83 ] simplifiying candidate # 1537029873.093 * * * * [misc]progress: [ 50 / 83 ] simplifiying candidate # 1537029873.093 * * * * [misc]progress: [ 51 / 83 ] simplifiying candidate # 1537029873.093 * * * * [misc]progress: [ 52 / 83 ] simplifiying candidate # 1537029873.093 * * * * [misc]progress: [ 53 / 83 ] simplifiying candidate # 1537029873.093 * * * * [misc]progress: [ 54 / 83 ] simplifiying candidate # 1537029873.093 * * * * [misc]progress: [ 55 / 83 ] simplifiying candidate # 1537029873.093 * * * * [misc]progress: [ 56 / 83 ] simplifiying candidate # 1537029873.093 * * * * [misc]progress: [ 57 / 83 ] simplifiying candidate # 1537029873.093 * * * * [misc]progress: [ 58 / 83 ] simplifiying candidate # 1537029873.094 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1537029873.094 * * [misc]simplify: iters left: 6 (11 enodes) 1537029873.097 * * [misc]simplify: iters left: 5 (21 enodes) 1537029873.103 * * [misc]simplify: iters left: 4 (47 enodes) 1537029873.118 * * [misc]simplify: iters left: 3 (113 enodes) 1537029873.171 * * [misc]simplify: iters left: 2 (328 enodes) 1537029873.562 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1537029873.562 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))) (sqrt k))) 1537029873.562 * * * * [misc]progress: [ 59 / 83 ] simplifiying candidate # 1537029873.562 * * * * [misc]progress: [ 60 / 83 ] simplifiying candidate # 1537029873.562 * [enter]simplify: Simplifying (* PI (* n 2)) 1537029873.563 * * [misc]simplify: iters left: 4 (5 enodes) 1537029873.565 * * [misc]simplify: iters left: 3 (9 enodes) 1537029873.569 * * [misc]simplify: iters left: 2 (15 enodes) 1537029873.574 * * [misc]simplify: iters left: 1 (17 enodes) 1537029873.580 * [exit]simplify: Simplified to (* (* 2 n) PI) 1537029873.580 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k))) 1537029873.580 * * * * [misc]progress: [ 61 / 83 ] simplifiying candidate # 1537029873.580 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1537029873.581 * * [misc]simplify: iters left: 5 (8 enodes) 1537029873.584 * * [misc]simplify: iters left: 4 (12 enodes) 1537029873.589 * * [misc]simplify: iters left: 3 (18 enodes) 1537029873.593 * * [misc]simplify: iters left: 2 (20 enodes) 1537029873.597 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1537029873.597 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2))) (sqrt k))) 1537029873.597 * * * * [misc]progress: [ 62 / 83 ] simplifiying candidate # 1537029873.597 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1537029873.597 * * [misc]simplify: iters left: 5 (6 enodes) 1537029873.598 * * [misc]simplify: iters left: 4 (8 enodes) 1537029873.600 * * [misc]simplify: iters left: 3 (11 enodes) 1537029873.602 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1537029873.602 * [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))) 1537029873.602 * * * * [misc]progress: [ 63 / 83 ] simplifiying candidate # 1537029873.602 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1537029873.602 * * [misc]simplify: iters left: 5 (6 enodes) 1537029873.603 * * [misc]simplify: iters left: 4 (8 enodes) 1537029873.605 * * [misc]simplify: iters left: 3 (11 enodes) 1537029873.606 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1537029873.606 * [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))) 1537029873.606 * * * * [misc]progress: [ 64 / 83 ] simplifiying candidate # 1537029873.607 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1537029873.607 * * [misc]simplify: iters left: 4 (5 enodes) 1537029873.608 * * [misc]simplify: iters left: 3 (7 enodes) 1537029873.609 * * [misc]simplify: iters left: 2 (10 enodes) 1537029873.611 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1537029873.611 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k))) 1537029873.611 * * * * [misc]progress: [ 65 / 83 ] simplifiying candidate # 1537029873.611 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1537029873.611 * * [misc]simplify: iters left: 5 (9 enodes) 1537029873.613 * * [misc]simplify: iters left: 4 (15 enodes) 1537029873.616 * * [misc]simplify: iters left: 3 (21 enodes) 1537029873.620 * * [misc]simplify: iters left: 2 (22 enodes) 1537029873.623 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1537029873.623 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1537029873.623 * * * * [misc]progress: [ 66 / 83 ] simplifiying candidate # 1537029873.624 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1537029873.624 * * [misc]simplify: iters left: 5 (9 enodes) 1537029873.626 * * [misc]simplify: iters left: 4 (15 enodes) 1537029873.631 * * [misc]simplify: iters left: 3 (21 enodes) 1537029873.637 * * [misc]simplify: iters left: 2 (22 enodes) 1537029873.644 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1537029873.645 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1537029873.645 * * * * [misc]progress: [ 67 / 83 ] simplifiying candidate # 1537029873.645 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1537029873.645 * * [misc]simplify: iters left: 5 (7 enodes) 1537029873.648 * * [misc]simplify: iters left: 4 (9 enodes) 1537029873.652 * * [misc]simplify: iters left: 3 (12 enodes) 1537029873.656 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1537029873.656 * [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))) 1537029873.656 * * * * [misc]progress: [ 68 / 83 ] simplifiying candidate # 1537029873.656 * * * * [misc]progress: [ 69 / 83 ] simplifiying candidate # 1537029873.656 * * * * [misc]progress: [ 70 / 83 ] simplifiying candidate # 1537029873.656 * * * * [misc]progress: [ 71 / 83 ] simplifiying candidate # 1537029873.656 * * * * [misc]progress: [ 72 / 83 ] simplifiying candidate # 1537029873.656 * * * * [misc]progress: [ 73 / 83 ] simplifiying candidate # 1537029873.656 * * * * [misc]progress: [ 74 / 83 ] simplifiying candidate # 1537029873.656 * * * * [misc]progress: [ 75 / 83 ] simplifiying candidate # 1537029873.658 * [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)))))))))))))))))))))) 1537029873.658 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1537029873.658 * * * * [misc]progress: [ 76 / 83 ] simplifiying candidate # 1537029873.658 * [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)))))))) 1537029873.658 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1537029873.658 * * * * [misc]progress: [ 77 / 83 ] simplifiying candidate # 1537029873.659 * [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))))))))))) 1537029873.659 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1537029873.659 * * * * [misc]progress: [ 78 / 83 ] simplifiying candidate # 1537029873.659 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537029873.659 * * [misc]simplify: iters left: 4 (5 enodes) 1537029873.662 * * [misc]simplify: iters left: 3 (9 enodes) 1537029873.666 * * [misc]simplify: iters left: 2 (15 enodes) 1537029873.671 * * [misc]simplify: iters left: 1 (17 enodes) 1537029873.676 * [exit]simplify: Simplified to (* (* PI n) 2) 1537029873.676 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1537029873.676 * * * * [misc]progress: [ 79 / 83 ] simplifiying candidate # 1537029873.677 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537029873.677 * * [misc]simplify: iters left: 4 (5 enodes) 1537029873.680 * * [misc]simplify: iters left: 3 (9 enodes) 1537029873.683 * * [misc]simplify: iters left: 2 (15 enodes) 1537029873.689 * * [misc]simplify: iters left: 1 (17 enodes) 1537029873.694 * [exit]simplify: Simplified to (* (* PI n) 2) 1537029873.694 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1537029873.694 * * * * [misc]progress: [ 80 / 83 ] simplifiying candidate # 1537029873.694 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537029873.695 * * [misc]simplify: iters left: 4 (5 enodes) 1537029873.697 * * [misc]simplify: iters left: 3 (9 enodes) 1537029873.701 * * [misc]simplify: iters left: 2 (15 enodes) 1537029873.707 * * [misc]simplify: iters left: 1 (17 enodes) 1537029873.712 * [exit]simplify: Simplified to (* (* PI n) 2) 1537029873.712 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1537029873.712 * * * * [misc]progress: [ 81 / 83 ] simplifiying candidate # 1537029873.713 * [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))))) 1537029873.717 * * [misc]simplify: iters left: 6 (37 enodes) 1537029873.742 * * [misc]simplify: iters left: 5 (108 enodes) 1537029873.793 * * [misc]simplify: iters left: 4 (368 enodes) 1537029874.383 * [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)))))) 1537029874.383 * [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))) 1537029874.383 * * * * [misc]progress: [ 82 / 83 ] simplifiying candidate # 1537029874.384 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1537029874.385 * * [misc]simplify: iters left: 6 (15 enodes) 1537029874.396 * * [misc]simplify: iters left: 5 (33 enodes) 1537029874.405 * * [misc]simplify: iters left: 4 (64 enodes) 1537029874.428 * * [misc]simplify: iters left: 3 (179 enodes) 1537029874.632 * [exit]simplify: Simplified to (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) 1537029874.632 * [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))) 1537029874.632 * * * * [misc]progress: [ 83 / 83 ] simplifiying candidate # 1537029874.633 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1537029874.634 * * [misc]simplify: iters left: 6 (15 enodes) 1537029874.643 * * [misc]simplify: iters left: 5 (30 enodes) 1537029874.660 * * [misc]simplify: iters left: 4 (65 enodes) 1537029874.698 * * [misc]simplify: iters left: 3 (208 enodes) 1537029874.938 * [exit]simplify: Simplified to (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))) 1537029874.938 * [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))) 1537029874.938 * * * [misc]progress: adding candidates to table 1537029876.519 * * [misc]progress: iteration 2 / 4 1537029876.519 * * * [misc]progress: picking best candidate 1537029876.618 * * * * [misc]pick: Picked # 1537029876.618 * * * [misc]progress: localizing error 1537029876.677 * * * [misc]progress: generating rewritten candidates 1537029876.677 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2) 1537029876.753 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 1) 1537029876.774 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1) 1537029876.791 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) 1537029876.799 * * * [misc]progress: generating series expansions 1537029876.799 * * * * [misc]progress: [ 1 / 4 ] generating series at (2) 1537029876.800 * [misc]backup-simplify: Simplify (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) into (* (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) (sqrt (/ (* n PI) k))) 1537029876.800 * [misc]approximate: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) (sqrt (/ (* n PI) k))) in (n k) around 0 1537029876.800 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) (sqrt (/ (* n PI) k))) in k 1537029876.800 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) in k 1537029876.800 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537029876.800 * [misc]taylor: Taking taylor expansion of 2 in k 1537029876.800 * [misc]backup-simplify: Simplify 2 into 2 1537029876.800 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029876.800 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029876.800 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- (* 1/2 k))) in k 1537029876.800 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 (* n PI))))) in k 1537029876.800 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 (* n PI)))) in k 1537029876.800 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in k 1537029876.800 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1537029876.800 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537029876.800 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029876.800 * [misc]taylor: Taking taylor expansion of k in k 1537029876.800 * [misc]backup-simplify: Simplify 0 into 0 1537029876.800 * [misc]backup-simplify: Simplify 1 into 1 1537029876.800 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1537029876.800 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1537029876.800 * [misc]taylor: Taking taylor expansion of 2 in k 1537029876.801 * [misc]backup-simplify: Simplify 2 into 2 1537029876.801 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1537029876.801 * [misc]taylor: Taking taylor expansion of n in k 1537029876.801 * [misc]backup-simplify: Simplify n into n 1537029876.801 * [misc]taylor: Taking taylor expansion of PI in k 1537029876.801 * [misc]backup-simplify: Simplify PI into PI 1537029876.801 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1537029876.801 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1537029876.801 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1537029876.801 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1537029876.801 * [misc]backup-simplify: Simplify (- 0) into 0 1537029876.801 * [misc]backup-simplify: Simplify (* 0 (log (* 2 (* n PI)))) into 0 1537029876.801 * [misc]backup-simplify: Simplify (- 0) into 0 1537029876.802 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1537029876.802 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1537029876.802 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1537029876.803 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1537029876.803 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1537029876.803 * [misc]backup-simplify: Simplify (+ (* 0 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 1537029876.803 * [misc]backup-simplify: Simplify (exp 0) into 1 1537029876.803 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* n PI) k)) in k 1537029876.803 * [misc]taylor: Taking taylor expansion of (/ (* n PI) k) in k 1537029876.803 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1537029876.803 * [misc]taylor: Taking taylor expansion of n in k 1537029876.803 * [misc]backup-simplify: Simplify n into n 1537029876.803 * [misc]taylor: Taking taylor expansion of PI in k 1537029876.803 * [misc]backup-simplify: Simplify PI into PI 1537029876.803 * [misc]taylor: Taking taylor expansion of k in k 1537029876.803 * [misc]backup-simplify: Simplify 0 into 0 1537029876.803 * [misc]backup-simplify: Simplify 1 into 1 1537029876.803 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1537029876.803 * [misc]backup-simplify: Simplify (/ (* n PI) 1) into (* n PI) 1537029876.803 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537029876.804 * [misc]backup-simplify: Simplify (/ (* n PI) (* 2 (sqrt 0))) into (* +nan.0 (* n PI)) 1537029876.804 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) (sqrt (/ (* n PI) k))) in n 1537029876.804 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) in n 1537029876.804 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537029876.804 * [misc]taylor: Taking taylor expansion of 2 in n 1537029876.804 * [misc]backup-simplify: Simplify 2 into 2 1537029876.804 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029876.804 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029876.804 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- (* 1/2 k))) in n 1537029876.804 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 (* n PI))))) in n 1537029876.804 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 (* n PI)))) in n 1537029876.804 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in n 1537029876.804 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1537029876.804 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537029876.804 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029876.804 * [misc]taylor: Taking taylor expansion of k in n 1537029876.804 * [misc]backup-simplify: Simplify k into k 1537029876.804 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1537029876.804 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537029876.804 * [misc]taylor: Taking taylor expansion of 2 in n 1537029876.804 * [misc]backup-simplify: Simplify 2 into 2 1537029876.804 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537029876.804 * [misc]taylor: Taking taylor expansion of n in n 1537029876.804 * [misc]backup-simplify: Simplify 0 into 0 1537029876.804 * [misc]backup-simplify: Simplify 1 into 1 1537029876.804 * [misc]taylor: Taking taylor expansion of PI in n 1537029876.804 * [misc]backup-simplify: Simplify PI into PI 1537029876.805 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537029876.805 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537029876.805 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537029876.806 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537029876.806 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537029876.806 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1537029876.806 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1537029876.806 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537029876.807 * [misc]backup-simplify: Simplify (* (- (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* -1/2 (* (+ (log n) (log (* 2 PI))) k)) 1537029876.807 * [misc]backup-simplify: Simplify (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) into (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) 1537029876.807 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* n PI) k)) in n 1537029876.807 * [misc]taylor: Taking taylor expansion of (/ (* n PI) k) in n 1537029876.807 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537029876.807 * [misc]taylor: Taking taylor expansion of n in n 1537029876.807 * [misc]backup-simplify: Simplify 0 into 0 1537029876.807 * [misc]backup-simplify: Simplify 1 into 1 1537029876.808 * [misc]taylor: Taking taylor expansion of PI in n 1537029876.808 * [misc]backup-simplify: Simplify PI into PI 1537029876.808 * [misc]taylor: Taking taylor expansion of k in n 1537029876.808 * [misc]backup-simplify: Simplify k into k 1537029876.808 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537029876.808 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537029876.808 * [misc]backup-simplify: Simplify (/ PI k) into (/ PI k) 1537029876.808 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537029876.809 * [misc]backup-simplify: Simplify (/ (/ PI k) (* 2 (sqrt 0))) into (* +nan.0 (/ PI k)) 1537029876.809 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) (sqrt (/ (* n PI) k))) in n 1537029876.809 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) in n 1537029876.809 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537029876.809 * [misc]taylor: Taking taylor expansion of 2 in n 1537029876.809 * [misc]backup-simplify: Simplify 2 into 2 1537029876.809 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029876.809 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029876.809 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- (* 1/2 k))) in n 1537029876.809 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 (* n PI))))) in n 1537029876.809 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 (* n PI)))) in n 1537029876.809 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in n 1537029876.809 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1537029876.809 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537029876.809 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029876.809 * [misc]taylor: Taking taylor expansion of k in n 1537029876.809 * [misc]backup-simplify: Simplify k into k 1537029876.809 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1537029876.809 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537029876.809 * [misc]taylor: Taking taylor expansion of 2 in n 1537029876.809 * [misc]backup-simplify: Simplify 2 into 2 1537029876.809 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537029876.809 * [misc]taylor: Taking taylor expansion of n in n 1537029876.809 * [misc]backup-simplify: Simplify 0 into 0 1537029876.809 * [misc]backup-simplify: Simplify 1 into 1 1537029876.809 * [misc]taylor: Taking taylor expansion of PI in n 1537029876.809 * [misc]backup-simplify: Simplify PI into PI 1537029876.809 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537029876.810 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537029876.810 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537029876.810 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537029876.811 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537029876.811 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1537029876.811 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1537029876.812 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537029876.812 * [misc]backup-simplify: Simplify (* (- (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* -1/2 (* (+ (log n) (log (* 2 PI))) k)) 1537029876.813 * [misc]backup-simplify: Simplify (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) into (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) 1537029876.813 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* n PI) k)) in n 1537029876.813 * [misc]taylor: Taking taylor expansion of (/ (* n PI) k) in n 1537029876.813 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537029876.813 * [misc]taylor: Taking taylor expansion of n in n 1537029876.813 * [misc]backup-simplify: Simplify 0 into 0 1537029876.813 * [misc]backup-simplify: Simplify 1 into 1 1537029876.813 * [misc]taylor: Taking taylor expansion of PI in n 1537029876.813 * [misc]backup-simplify: Simplify PI into PI 1537029876.813 * [misc]taylor: Taking taylor expansion of k in n 1537029876.813 * [misc]backup-simplify: Simplify k into k 1537029876.814 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537029876.814 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537029876.814 * [misc]backup-simplify: Simplify (/ PI k) into (/ PI k) 1537029876.815 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537029876.815 * [misc]backup-simplify: Simplify (/ (/ PI k) (* 2 (sqrt 0))) into (* +nan.0 (/ PI k)) 1537029876.816 * [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)))) 1537029876.817 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))) 0) into 0 1537029876.817 * [misc]taylor: Taking taylor expansion of 0 in k 1537029876.817 * [misc]backup-simplify: Simplify 0 into 0 1537029876.817 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1537029876.818 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1537029876.819 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1537029876.823 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537029876.823 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1537029876.823 * [misc]backup-simplify: Simplify (- 0) into 0 1537029876.824 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537029876.825 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1537029876.827 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1537029876.828 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) into 0 1537029876.829 * [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))) 1537029876.829 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (* PI (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) k))) in k 1537029876.829 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (* PI (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) k)) in k 1537029876.829 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1537029876.829 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537029876.829 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt 2) (* PI (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) k) in k 1537029876.829 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* PI (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) in k 1537029876.829 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537029876.829 * [misc]taylor: Taking taylor expansion of 2 in k 1537029876.830 * [misc]backup-simplify: Simplify 2 into 2 1537029876.830 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029876.830 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029876.830 * [misc]taylor: Taking taylor expansion of (* PI (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))) in k 1537029876.830 * [misc]taylor: Taking taylor expansion of PI in k 1537029876.830 * [misc]backup-simplify: Simplify PI into PI 1537029876.830 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) in k 1537029876.830 * [misc]taylor: Taking taylor expansion of (* -1/2 (* (+ (log n) (log (* 2 PI))) k)) in k 1537029876.830 * [misc]taylor: Taking taylor expansion of -1/2 in k 1537029876.830 * [misc]backup-simplify: Simplify -1/2 into -1/2 1537029876.830 * [misc]taylor: Taking taylor expansion of (* (+ (log n) (log (* 2 PI))) k) in k 1537029876.830 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1537029876.830 * [misc]taylor: Taking taylor expansion of (log n) in k 1537029876.830 * [misc]taylor: Taking taylor expansion of n in k 1537029876.830 * [misc]backup-simplify: Simplify n into n 1537029876.830 * [misc]backup-simplify: Simplify (log n) into (log n) 1537029876.830 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1537029876.830 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1537029876.830 * [misc]taylor: Taking taylor expansion of 2 in k 1537029876.831 * [misc]backup-simplify: Simplify 2 into 2 1537029876.831 * [misc]taylor: Taking taylor expansion of PI in k 1537029876.831 * [misc]backup-simplify: Simplify PI into PI 1537029876.831 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537029876.831 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537029876.831 * [misc]taylor: Taking taylor expansion of k in k 1537029876.832 * [misc]backup-simplify: Simplify 0 into 0 1537029876.832 * [misc]backup-simplify: Simplify 1 into 1 1537029876.832 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537029876.833 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) 0) into 0 1537029876.833 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1537029876.834 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1537029876.835 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537029876.838 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537029876.838 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537029876.839 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 1) (* 0 0)) into (+ (log n) (log (* 2 PI))) 1537029876.839 * [misc]backup-simplify: Simplify (+ (* -1/2 (+ (log n) (log (* 2 PI)))) (* 0 0)) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1537029876.839 * [misc]backup-simplify: Simplify (exp 0) into 1 1537029876.839 * [misc]taylor: Taking taylor expansion of k in k 1537029876.840 * [misc]backup-simplify: Simplify 0 into 0 1537029876.840 * [misc]backup-simplify: Simplify 1 into 1 1537029876.840 * [misc]backup-simplify: Simplify (* PI 1) into PI 1537029876.840 * [misc]backup-simplify: Simplify (* (sqrt 2) PI) into (* (sqrt 2) PI) 1537029876.840 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) PI) 1) into (* (sqrt 2) PI) 1537029876.841 * [misc]backup-simplify: Simplify (* +nan.0 (* (sqrt 2) PI)) into (* +nan.0 (* (sqrt 2) PI)) 1537029876.842 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1537029876.842 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1537029876.842 * [misc]backup-simplify: Simplify 0 into 0 1537029876.843 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1537029876.843 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ PI k) (/ 0 k)))) into 0 1537029876.844 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (/ PI k)) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow PI 2) (pow k 2))) 1537029876.844 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1537029876.845 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1537029876.846 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1537029876.850 * [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 1537029876.850 * [misc]backup-simplify: Simplify (- 0) into 0 1537029876.850 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1537029876.850 * [misc]backup-simplify: Simplify (- 0) into 0 1537029876.851 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537029876.851 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1537029876.853 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1537029876.853 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1537029876.854 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))))) into 0 1537029876.856 * [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)))) 1537029876.856 * [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 1537029876.856 * [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 1537029876.856 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1537029876.856 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537029876.856 * [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 1537029876.856 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) in k 1537029876.856 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537029876.856 * [misc]taylor: Taking taylor expansion of 2 in k 1537029876.856 * [misc]backup-simplify: Simplify 2 into 2 1537029876.856 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029876.856 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029876.856 * [misc]taylor: Taking taylor expansion of (* (pow PI 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))) in k 1537029876.856 * [misc]taylor: Taking taylor expansion of (pow PI 2) in k 1537029876.856 * [misc]taylor: Taking taylor expansion of PI in k 1537029876.856 * [misc]backup-simplify: Simplify PI into PI 1537029876.856 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) in k 1537029876.856 * [misc]taylor: Taking taylor expansion of (* -1/2 (* (+ (log n) (log (* 2 PI))) k)) in k 1537029876.856 * [misc]taylor: Taking taylor expansion of -1/2 in k 1537029876.856 * [misc]backup-simplify: Simplify -1/2 into -1/2 1537029876.856 * [misc]taylor: Taking taylor expansion of (* (+ (log n) (log (* 2 PI))) k) in k 1537029876.856 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1537029876.856 * [misc]taylor: Taking taylor expansion of (log n) in k 1537029876.856 * [misc]taylor: Taking taylor expansion of n in k 1537029876.856 * [misc]backup-simplify: Simplify n into n 1537029876.856 * [misc]backup-simplify: Simplify (log n) into (log n) 1537029876.856 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1537029876.856 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1537029876.856 * [misc]taylor: Taking taylor expansion of 2 in k 1537029876.856 * [misc]backup-simplify: Simplify 2 into 2 1537029876.856 * [misc]taylor: Taking taylor expansion of PI in k 1537029876.856 * [misc]backup-simplify: Simplify PI into PI 1537029876.857 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537029876.857 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537029876.857 * [misc]taylor: Taking taylor expansion of k in k 1537029876.857 * [misc]backup-simplify: Simplify 0 into 0 1537029876.857 * [misc]backup-simplify: Simplify 1 into 1 1537029876.857 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537029876.858 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) 0) into 0 1537029876.858 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1537029876.858 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1537029876.859 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537029876.861 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537029876.861 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537029876.861 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 1) (* 0 0)) into (+ (log n) (log (* 2 PI))) 1537029876.862 * [misc]backup-simplify: Simplify (+ (* -1/2 (+ (log n) (log (* 2 PI)))) (* 0 0)) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1537029876.862 * [misc]backup-simplify: Simplify (exp 0) into 1 1537029876.862 * [misc]taylor: Taking taylor expansion of (pow k 2) in k 1537029876.862 * [misc]taylor: Taking taylor expansion of k in k 1537029876.862 * [misc]backup-simplify: Simplify 0 into 0 1537029876.862 * [misc]backup-simplify: Simplify 1 into 1 1537029876.862 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1537029876.863 * [misc]backup-simplify: Simplify (* (pow PI 2) 1) into (pow PI 2) 1537029876.863 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2)) 1537029876.863 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537029876.864 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) (pow PI 2)) 1) into (* (sqrt 2) (pow PI 2)) 1537029876.865 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1537029876.865 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 1537029876.867 * [misc]backup-simplify: Simplify (+ (* (pow PI 2) (* -1 (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))))) (* 0 1)) into (- (+ (* 1/2 (* (pow PI 2) (log (* 2 PI)))) (* 1/2 (* (pow PI 2) (log n))))) 1537029876.870 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (- (+ (* 1/2 (* (pow PI 2) (log (* 2 PI)))) (* 1/2 (* (pow PI 2) (log n)))))) (* 0 (pow PI 2))) into (- (+ (* 1/2 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (* 1/2 (* (sqrt 2) (* (pow PI 2) (log n)))))) 1537029876.870 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1537029876.874 * [misc]backup-simplify: Simplify (- (/ (- (+ (* 1/2 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (* 1/2 (* (sqrt 2) (* (pow PI 2) (log n)))))) 1) (+ (* (* (sqrt 2) (pow PI 2)) (/ 0 1)))) into (- (+ (* 1/2 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (* 1/2 (* (sqrt 2) (* (pow PI 2) (log n)))))) 1537029876.878 * [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))))))) 1537029876.884 * [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))))))) 1537029876.888 * [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))))))) 1537029876.889 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1537029876.890 * [misc]backup-simplify: Simplify (+ (* PI (* -1 (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))))) (* 0 1)) into (- (+ (* 1/2 (* PI (log (* 2 PI)))) (* 1/2 (* PI (log n))))) 1537029876.891 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (- (+ (* 1/2 (* PI (log (* 2 PI)))) (* 1/2 (* PI (log n)))))) (* 0 PI)) into (- (+ (* 1/2 (* (sqrt 2) (* PI (log n)))) (* 1/2 (* (sqrt 2) (* PI (log (* 2 PI))))))) 1537029876.893 * [misc]backup-simplify: Simplify (- (/ (- (+ (* 1/2 (* (sqrt 2) (* PI (log n)))) (* 1/2 (* (sqrt 2) (* PI (log (* 2 PI))))))) 1) (+ (* (* (sqrt 2) PI) (/ 0 1)))) into (- (+ (* 1/2 (* (sqrt 2) (* PI (log n)))) (* 1/2 (* (sqrt 2) (* PI (log (* 2 PI))))))) 1537029876.895 * [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)))))))) 1537029876.897 * [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)))))))) 1537029876.899 * [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)))))))) 1537029876.911 * [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)))))))))))))) 1537029876.912 * [misc]backup-simplify: Simplify (/ (sqrt (* (* 2 (/ 1 n)) PI)) (/ (sqrt (/ 1 k)) (pow (* PI (* (/ 1 n) 2)) (- (/ (/ 1 k) 2))))) into (* (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) (sqrt (/ (* PI k) n))) 1537029876.912 * [misc]approximate: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) (sqrt (/ (* PI k) n))) in (n k) around 0 1537029876.912 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) (sqrt (/ (* PI k) n))) in k 1537029876.912 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) in k 1537029876.912 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537029876.912 * [misc]taylor: Taking taylor expansion of 2 in k 1537029876.912 * [misc]backup-simplify: Simplify 2 into 2 1537029876.913 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029876.913 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029876.913 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) in k 1537029876.913 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1537029876.913 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1537029876.913 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in k 1537029876.913 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1537029876.913 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537029876.913 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029876.913 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1537029876.913 * [misc]taylor: Taking taylor expansion of k in k 1537029876.913 * [misc]backup-simplify: Simplify 0 into 0 1537029876.913 * [misc]backup-simplify: Simplify 1 into 1 1537029876.913 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1537029876.913 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1537029876.913 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1537029876.913 * [misc]taylor: Taking taylor expansion of 2 in k 1537029876.914 * [misc]backup-simplify: Simplify 2 into 2 1537029876.914 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1537029876.914 * [misc]taylor: Taking taylor expansion of PI in k 1537029876.914 * [misc]backup-simplify: Simplify PI into PI 1537029876.914 * [misc]taylor: Taking taylor expansion of n in k 1537029876.914 * [misc]backup-simplify: Simplify n into n 1537029876.914 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537029876.914 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1537029876.914 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1537029876.914 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1537029876.914 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1537029876.915 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1537029876.915 * [misc]backup-simplify: Simplify (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) 1537029876.915 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* PI k) n)) in k 1537029876.915 * [misc]taylor: Taking taylor expansion of (/ (* PI k) n) in k 1537029876.915 * [misc]taylor: Taking taylor expansion of (* PI k) in k 1537029876.915 * [misc]taylor: Taking taylor expansion of PI in k 1537029876.915 * [misc]backup-simplify: Simplify PI into PI 1537029876.915 * [misc]taylor: Taking taylor expansion of k in k 1537029876.915 * [misc]backup-simplify: Simplify 0 into 0 1537029876.915 * [misc]backup-simplify: Simplify 1 into 1 1537029876.915 * [misc]taylor: Taking taylor expansion of n in k 1537029876.915 * [misc]backup-simplify: Simplify n into n 1537029876.916 * [misc]backup-simplify: Simplify (* PI 0) into 0 1537029876.916 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1537029876.917 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537029876.917 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537029876.917 * [misc]backup-simplify: Simplify (/ (/ PI n) (* 2 (sqrt 0))) into (* +nan.0 (/ PI n)) 1537029876.917 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) (sqrt (/ (* PI k) n))) in n 1537029876.917 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) in n 1537029876.917 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537029876.917 * [misc]taylor: Taking taylor expansion of 2 in n 1537029876.917 * [misc]backup-simplify: Simplify 2 into 2 1537029876.917 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029876.918 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029876.918 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) in n 1537029876.918 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1537029876.918 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1537029876.918 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in n 1537029876.918 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1537029876.918 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537029876.918 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029876.918 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1537029876.918 * [misc]taylor: Taking taylor expansion of k in n 1537029876.918 * [misc]backup-simplify: Simplify k into k 1537029876.918 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1537029876.918 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1537029876.918 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537029876.918 * [misc]taylor: Taking taylor expansion of 2 in n 1537029876.918 * [misc]backup-simplify: Simplify 2 into 2 1537029876.918 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537029876.918 * [misc]taylor: Taking taylor expansion of PI in n 1537029876.918 * [misc]backup-simplify: Simplify PI into PI 1537029876.918 * [misc]taylor: Taking taylor expansion of n in n 1537029876.918 * [misc]backup-simplify: Simplify 0 into 0 1537029876.918 * [misc]backup-simplify: Simplify 1 into 1 1537029876.919 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537029876.919 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537029876.920 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537029876.920 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1537029876.920 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1537029876.920 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537029876.921 * [misc]backup-simplify: Simplify (* (- (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1537029876.922 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537029876.922 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* PI k) n)) in n 1537029876.922 * [misc]taylor: Taking taylor expansion of (/ (* PI k) n) in n 1537029876.922 * [misc]taylor: Taking taylor expansion of (* PI k) in n 1537029876.922 * [misc]taylor: Taking taylor expansion of PI in n 1537029876.922 * [misc]backup-simplify: Simplify PI into PI 1537029876.922 * [misc]taylor: Taking taylor expansion of k in n 1537029876.922 * [misc]backup-simplify: Simplify k into k 1537029876.922 * [misc]taylor: Taking taylor expansion of n in n 1537029876.922 * [misc]backup-simplify: Simplify 0 into 0 1537029876.922 * [misc]backup-simplify: Simplify 1 into 1 1537029876.922 * [misc]backup-simplify: Simplify (* PI k) into (* PI k) 1537029876.923 * [misc]backup-simplify: Simplify (/ (* PI k) 1) into (* PI k) 1537029876.923 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537029876.923 * [misc]backup-simplify: Simplify (/ (* PI k) (* 2 (sqrt 0))) into (* +nan.0 (* PI k)) 1537029876.923 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) (sqrt (/ (* PI k) n))) in n 1537029876.923 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) in n 1537029876.923 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537029876.923 * [misc]taylor: Taking taylor expansion of 2 in n 1537029876.923 * [misc]backup-simplify: Simplify 2 into 2 1537029876.923 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029876.924 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029876.924 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) in n 1537029876.924 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1537029876.924 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1537029876.924 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in n 1537029876.924 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1537029876.924 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537029876.924 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029876.924 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1537029876.924 * [misc]taylor: Taking taylor expansion of k in n 1537029876.924 * [misc]backup-simplify: Simplify k into k 1537029876.924 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1537029876.924 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1537029876.924 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537029876.924 * [misc]taylor: Taking taylor expansion of 2 in n 1537029876.924 * [misc]backup-simplify: Simplify 2 into 2 1537029876.924 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537029876.924 * [misc]taylor: Taking taylor expansion of PI in n 1537029876.924 * [misc]backup-simplify: Simplify PI into PI 1537029876.924 * [misc]taylor: Taking taylor expansion of n in n 1537029876.924 * [misc]backup-simplify: Simplify 0 into 0 1537029876.924 * [misc]backup-simplify: Simplify 1 into 1 1537029876.925 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537029876.925 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537029876.925 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537029876.926 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1537029876.926 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1537029876.926 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537029876.927 * [misc]backup-simplify: Simplify (* (- (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1537029876.928 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537029876.928 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* PI k) n)) in n 1537029876.928 * [misc]taylor: Taking taylor expansion of (/ (* PI k) n) in n 1537029876.928 * [misc]taylor: Taking taylor expansion of (* PI k) in n 1537029876.928 * [misc]taylor: Taking taylor expansion of PI in n 1537029876.928 * [misc]backup-simplify: Simplify PI into PI 1537029876.928 * [misc]taylor: Taking taylor expansion of k in n 1537029876.928 * [misc]backup-simplify: Simplify k into k 1537029876.928 * [misc]taylor: Taking taylor expansion of n in n 1537029876.928 * [misc]backup-simplify: Simplify 0 into 0 1537029876.928 * [misc]backup-simplify: Simplify 1 into 1 1537029876.928 * [misc]backup-simplify: Simplify (* PI k) into (* PI k) 1537029876.928 * [misc]backup-simplify: Simplify (/ (* PI k) 1) into (* PI k) 1537029876.928 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537029876.929 * [misc]backup-simplify: Simplify (/ (* PI k) (* 2 (sqrt 0))) into (* +nan.0 (* PI k)) 1537029876.929 * [misc]backup-simplify: Simplify (* (sqrt 2) (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) 1537029876.930 * [misc]backup-simplify: Simplify (* (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) 0) into 0 1537029876.930 * [misc]taylor: Taking taylor expansion of 0 in k 1537029876.930 * [misc]backup-simplify: Simplify 0 into 0 1537029876.930 * [misc]backup-simplify: Simplify 0 into 0 1537029876.930 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1537029876.931 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537029876.931 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537029876.933 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537029876.933 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1537029876.933 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1537029876.933 * [misc]backup-simplify: Simplify (- 0) into 0 1537029876.934 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537029876.934 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1537029876.935 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1537029876.936 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))))) into 0 1537029876.937 * [misc]backup-simplify: Simplify (+ (* (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) (* +nan.0 (* PI k))) (* 0 0)) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* PI k))))) 1537029876.937 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* PI k))))) in k 1537029876.937 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* PI k)))) in k 1537029876.937 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1537029876.937 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537029876.937 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* PI k))) in k 1537029876.937 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1537029876.937 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1537029876.937 * [misc]taylor: Taking taylor expansion of -1/2 in k 1537029876.937 * [misc]backup-simplify: Simplify -1/2 into -1/2 1537029876.937 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1537029876.937 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1537029876.937 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1537029876.937 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1537029876.937 * [misc]taylor: Taking taylor expansion of 2 in k 1537029876.937 * [misc]backup-simplify: Simplify 2 into 2 1537029876.937 * [misc]taylor: Taking taylor expansion of PI in k 1537029876.937 * [misc]backup-simplify: Simplify PI into PI 1537029876.937 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537029876.938 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537029876.938 * [misc]taylor: Taking taylor expansion of (log n) in k 1537029876.938 * [misc]taylor: Taking taylor expansion of n in k 1537029876.938 * [misc]backup-simplify: Simplify n into n 1537029876.938 * [misc]backup-simplify: Simplify (log n) into (log n) 1537029876.938 * [misc]taylor: Taking taylor expansion of k in k 1537029876.938 * [misc]backup-simplify: Simplify 0 into 0 1537029876.938 * [misc]backup-simplify: Simplify 1 into 1 1537029876.938 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1537029876.938 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1537029876.939 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1537029876.939 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1537029876.939 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537029876.939 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* PI k)) in k 1537029876.939 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537029876.939 * [misc]taylor: Taking taylor expansion of 2 in k 1537029876.939 * [misc]backup-simplify: Simplify 2 into 2 1537029876.940 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029876.940 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029876.940 * [misc]taylor: Taking taylor expansion of (* PI k) in k 1537029876.940 * [misc]taylor: Taking taylor expansion of PI in k 1537029876.940 * [misc]backup-simplify: Simplify PI into PI 1537029876.940 * [misc]taylor: Taking taylor expansion of k in k 1537029876.940 * [misc]backup-simplify: Simplify 0 into 0 1537029876.940 * [misc]backup-simplify: Simplify 1 into 1 1537029876.940 * [misc]backup-simplify: Simplify (* PI 0) into 0 1537029876.940 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1537029876.941 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) into 0 1537029876.941 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1537029876.941 * [misc]backup-simplify: Simplify (- 0) into 0 1537029876.941 * [misc]backup-simplify: Simplify 0 into 0 1537029876.941 * [misc]backup-simplify: Simplify 0 into 0 1537029876.941 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 k)) into 0 1537029876.941 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)))) into 0 1537029876.942 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (* PI k)) 2) (+)) (* 2 0)) into (* +nan.0 (* (pow PI 2) (pow k 2))) 1537029876.942 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1537029876.943 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029876.944 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1537029876.947 * [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 1537029876.947 * [misc]backup-simplify: Simplify (- 0) into 0 1537029876.947 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537029876.948 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1537029876.948 * [misc]backup-simplify: Simplify (- 0) into 0 1537029876.948 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537029876.949 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1537029876.950 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1537029876.951 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1537029876.952 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into 0 1537029876.953 * [misc]backup-simplify: Simplify (+ (* (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0))) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 2) (pow k 2)))))) 1537029876.953 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 2) (pow k 2)))))) in k 1537029876.953 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 2) (pow k 2))))) in k 1537029876.953 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1537029876.953 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537029876.953 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 2) (pow k 2)))) in k 1537029876.953 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1537029876.953 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1537029876.953 * [misc]taylor: Taking taylor expansion of -1/2 in k 1537029876.953 * [misc]backup-simplify: Simplify -1/2 into -1/2 1537029876.953 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1537029876.954 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1537029876.954 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1537029876.954 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1537029876.954 * [misc]taylor: Taking taylor expansion of 2 in k 1537029876.954 * [misc]backup-simplify: Simplify 2 into 2 1537029876.954 * [misc]taylor: Taking taylor expansion of PI in k 1537029876.954 * [misc]backup-simplify: Simplify PI into PI 1537029876.954 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537029876.954 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537029876.954 * [misc]taylor: Taking taylor expansion of (log n) in k 1537029876.954 * [misc]taylor: Taking taylor expansion of n in k 1537029876.954 * [misc]backup-simplify: Simplify n into n 1537029876.954 * [misc]backup-simplify: Simplify (log n) into (log n) 1537029876.954 * [misc]taylor: Taking taylor expansion of k in k 1537029876.954 * [misc]backup-simplify: Simplify 0 into 0 1537029876.954 * [misc]backup-simplify: Simplify 1 into 1 1537029876.954 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1537029876.955 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1537029876.955 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1537029876.956 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1537029876.956 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537029876.956 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 2) (pow k 2))) in k 1537029876.956 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537029876.956 * [misc]taylor: Taking taylor expansion of 2 in k 1537029876.956 * [misc]backup-simplify: Simplify 2 into 2 1537029876.956 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029876.956 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029876.956 * [misc]taylor: Taking taylor expansion of (* (pow PI 2) (pow k 2)) in k 1537029876.956 * [misc]taylor: Taking taylor expansion of (pow PI 2) in k 1537029876.956 * [misc]taylor: Taking taylor expansion of PI in k 1537029876.956 * [misc]backup-simplify: Simplify PI into PI 1537029876.956 * [misc]taylor: Taking taylor expansion of (pow k 2) in k 1537029876.956 * [misc]taylor: Taking taylor expansion of k in k 1537029876.956 * [misc]backup-simplify: Simplify 0 into 0 1537029876.956 * [misc]backup-simplify: Simplify 1 into 1 1537029876.957 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1537029876.958 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) PI) (* 0 0)) into (* (sqrt 2) PI) 1537029876.958 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)) (* 0 0)) into (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)) 1537029876.959 * [misc]backup-simplify: Simplify (+ (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI))) (* 0 0)) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)))) 1537029876.960 * [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)))) 1537029876.961 * [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)))) 1537029876.961 * [misc]backup-simplify: Simplify 0 into 0 1537029876.961 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 k))) into 0 1537029876.962 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029876.963 * [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))) 1537029876.963 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1537029876.964 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029876.966 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537029876.975 * [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 1537029876.976 * [misc]backup-simplify: Simplify (- 0) into 0 1537029876.976 * [misc]backup-simplify: Simplify (- 0) into 0 1537029876.976 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537029876.976 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1537029876.977 * [misc]backup-simplify: Simplify (- 0) into 0 1537029876.977 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537029876.978 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1537029876.983 * [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 1537029876.983 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537029876.984 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1537029876.990 * [misc]backup-simplify: Simplify (+ (* (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) (* +nan.0 (* (pow PI 3) (pow k 3)))) (+ (* 0 (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0)))) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 3) (pow k 3)))))) 1537029876.990 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 3) (pow k 3)))))) in k 1537029876.990 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 3) (pow k 3))))) in k 1537029876.990 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1537029876.990 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537029876.990 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 3) (pow k 3)))) in k 1537029876.990 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1537029876.990 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1537029876.990 * [misc]taylor: Taking taylor expansion of -1/2 in k 1537029876.990 * [misc]backup-simplify: Simplify -1/2 into -1/2 1537029876.990 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1537029876.990 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1537029876.990 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1537029876.990 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1537029876.990 * [misc]taylor: Taking taylor expansion of 2 in k 1537029876.990 * [misc]backup-simplify: Simplify 2 into 2 1537029876.990 * [misc]taylor: Taking taylor expansion of PI in k 1537029876.990 * [misc]backup-simplify: Simplify PI into PI 1537029876.991 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537029876.991 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537029876.991 * [misc]taylor: Taking taylor expansion of (log n) in k 1537029876.991 * [misc]taylor: Taking taylor expansion of n in k 1537029876.991 * [misc]backup-simplify: Simplify n into n 1537029876.991 * [misc]backup-simplify: Simplify (log n) into (log n) 1537029876.991 * [misc]taylor: Taking taylor expansion of k in k 1537029876.991 * [misc]backup-simplify: Simplify 0 into 0 1537029876.991 * [misc]backup-simplify: Simplify 1 into 1 1537029876.991 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1537029876.992 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1537029876.993 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1537029876.993 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1537029876.994 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537029876.994 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 3) (pow k 3))) in k 1537029876.994 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537029876.994 * [misc]taylor: Taking taylor expansion of 2 in k 1537029876.994 * [misc]backup-simplify: Simplify 2 into 2 1537029876.994 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029876.995 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029876.995 * [misc]taylor: Taking taylor expansion of (* (pow PI 3) (pow k 3)) in k 1537029876.995 * [misc]taylor: Taking taylor expansion of (pow PI 3) in k 1537029876.995 * [misc]taylor: Taking taylor expansion of PI in k 1537029876.995 * [misc]backup-simplify: Simplify PI into PI 1537029876.995 * [misc]taylor: Taking taylor expansion of (pow k 3) in k 1537029876.995 * [misc]taylor: Taking taylor expansion of k in k 1537029876.995 * [misc]backup-simplify: Simplify 0 into 0 1537029876.995 * [misc]backup-simplify: Simplify 1 into 1 1537029876.996 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 1537029876.997 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1537029876.999 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 PI) (* 0 0))) into 0 1537029877.001 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (+ (* 0 (* (sqrt 2) PI)) (* 0 0))) into 0 1537029877.002 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI))) (* 0 0))) into 0 1537029877.002 * [misc]backup-simplify: Simplify (- 0) into 0 1537029877.002 * [misc]backup-simplify: Simplify 0 into 0 1537029877.002 * [misc]backup-simplify: Simplify 0 into 0 1537029877.003 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1537029877.004 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029877.009 * [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))) 1537029877.010 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1537029877.012 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029877.014 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537029877.029 * [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 1537029877.029 * [misc]backup-simplify: Simplify (- 0) into 0 1537029877.030 * [misc]backup-simplify: Simplify (- 0) into 0 1537029877.030 * [misc]backup-simplify: Simplify (- 0) into 0 1537029877.030 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537029877.031 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k)))))) into 0 1537029877.031 * [misc]backup-simplify: Simplify (- 0) into 0 1537029877.032 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537029877.033 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))))) into 0 1537029877.039 * [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 1537029877.040 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537029877.042 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))))))) into 0 1537029877.047 * [misc]backup-simplify: Simplify (+ (* (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) (* +nan.0 (* (pow PI 4) (pow k 4)))) (+ (* 0 (* +nan.0 (* (pow PI 3) (pow k 3)))) (+ (* 0 (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0))))) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 4) (pow k 4)))))) 1537029877.047 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 4) (pow k 4)))))) in k 1537029877.047 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 4) (pow k 4))))) in k 1537029877.047 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1537029877.047 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537029877.047 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 4) (pow k 4)))) in k 1537029877.047 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1537029877.047 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1537029877.047 * [misc]taylor: Taking taylor expansion of -1/2 in k 1537029877.047 * [misc]backup-simplify: Simplify -1/2 into -1/2 1537029877.047 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1537029877.047 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1537029877.047 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1537029877.047 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1537029877.047 * [misc]taylor: Taking taylor expansion of 2 in k 1537029877.047 * [misc]backup-simplify: Simplify 2 into 2 1537029877.047 * [misc]taylor: Taking taylor expansion of PI in k 1537029877.047 * [misc]backup-simplify: Simplify PI into PI 1537029877.048 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537029877.048 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537029877.048 * [misc]taylor: Taking taylor expansion of (log n) in k 1537029877.048 * [misc]taylor: Taking taylor expansion of n in k 1537029877.048 * [misc]backup-simplify: Simplify n into n 1537029877.048 * [misc]backup-simplify: Simplify (log n) into (log n) 1537029877.048 * [misc]taylor: Taking taylor expansion of k in k 1537029877.048 * [misc]backup-simplify: Simplify 0 into 0 1537029877.048 * [misc]backup-simplify: Simplify 1 into 1 1537029877.048 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1537029877.049 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1537029877.050 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1537029877.050 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1537029877.051 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537029877.051 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 4) (pow k 4))) in k 1537029877.051 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537029877.051 * [misc]taylor: Taking taylor expansion of 2 in k 1537029877.051 * [misc]backup-simplify: Simplify 2 into 2 1537029877.051 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029877.051 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029877.051 * [misc]taylor: Taking taylor expansion of (* (pow PI 4) (pow k 4)) in k 1537029877.051 * [misc]taylor: Taking taylor expansion of (pow PI 4) in k 1537029877.052 * [misc]taylor: Taking taylor expansion of PI in k 1537029877.052 * [misc]backup-simplify: Simplify PI into PI 1537029877.052 * [misc]taylor: Taking taylor expansion of (pow k 4) in k 1537029877.052 * [misc]taylor: Taking taylor expansion of k in k 1537029877.052 * [misc]backup-simplify: Simplify 0 into 0 1537029877.052 * [misc]backup-simplify: Simplify 1 into 1 1537029877.052 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1537029877.052 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537029877.053 * [misc]backup-simplify: Simplify (* (pow PI 2) 1) into (pow PI 2) 1537029877.054 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2)) 1537029877.056 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 2))) into (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))) 1537029877.057 * [misc]backup-simplify: Simplify (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2)))) into (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2)))) 1537029877.059 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))))) 1537029877.061 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))))) 1537029877.062 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1537029877.063 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537029877.064 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1537029877.067 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (+ (* 0 0) (+ (* 0 (* (sqrt 2) PI)) (* 0 0)))) into 0 1537029877.069 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI))) (* 0 0)))) into 0 1537029877.069 * [misc]backup-simplify: Simplify (- 0) into 0 1537029877.069 * [misc]backup-simplify: Simplify 0 into 0 1537029877.069 * [misc]backup-simplify: Simplify 0 into 0 1537029877.070 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 k))))) into 0 1537029877.071 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029877.075 * [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))) 1537029877.075 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1537029877.078 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029877.081 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537029877.105 * [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 1537029877.106 * [misc]backup-simplify: Simplify (- 0) into 0 1537029877.106 * [misc]backup-simplify: Simplify (- 0) into 0 1537029877.106 * [misc]backup-simplify: Simplify (- 0) into 0 1537029877.106 * [misc]backup-simplify: Simplify (- 0) into 0 1537029877.106 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537029877.107 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))))) into 0 1537029877.107 * [misc]backup-simplify: Simplify (- 0) into 0 1537029877.108 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537029877.109 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))))) into 0 1537029877.119 * [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 1537029877.119 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537029877.121 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))))))))) into 0 1537029877.126 * [misc]backup-simplify: Simplify (+ (* (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) (* +nan.0 (* (pow PI 5) (pow k 5)))) (+ (* 0 (* +nan.0 (* (pow PI 4) (pow k 4)))) (+ (* 0 (* +nan.0 (* (pow PI 3) (pow k 3)))) (+ (* 0 (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0)))))) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 5) (pow k 5)))))) 1537029877.126 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 5) (pow k 5)))))) in k 1537029877.126 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 5) (pow k 5))))) in k 1537029877.126 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1537029877.126 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537029877.126 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 5) (pow k 5)))) in k 1537029877.126 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1537029877.126 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1537029877.126 * [misc]taylor: Taking taylor expansion of -1/2 in k 1537029877.126 * [misc]backup-simplify: Simplify -1/2 into -1/2 1537029877.126 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1537029877.126 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1537029877.126 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1537029877.126 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1537029877.126 * [misc]taylor: Taking taylor expansion of 2 in k 1537029877.126 * [misc]backup-simplify: Simplify 2 into 2 1537029877.126 * [misc]taylor: Taking taylor expansion of PI in k 1537029877.126 * [misc]backup-simplify: Simplify PI into PI 1537029877.127 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537029877.129 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537029877.129 * [misc]taylor: Taking taylor expansion of (log n) in k 1537029877.129 * [misc]taylor: Taking taylor expansion of n in k 1537029877.129 * [misc]backup-simplify: Simplify n into n 1537029877.129 * [misc]backup-simplify: Simplify (log n) into (log n) 1537029877.129 * [misc]taylor: Taking taylor expansion of k in k 1537029877.129 * [misc]backup-simplify: Simplify 0 into 0 1537029877.129 * [misc]backup-simplify: Simplify 1 into 1 1537029877.129 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1537029877.130 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1537029877.130 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1537029877.131 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1537029877.132 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537029877.132 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 5) (pow k 5))) in k 1537029877.132 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537029877.132 * [misc]taylor: Taking taylor expansion of 2 in k 1537029877.132 * [misc]backup-simplify: Simplify 2 into 2 1537029877.132 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029877.132 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029877.132 * [misc]taylor: Taking taylor expansion of (* (pow PI 5) (pow k 5)) in k 1537029877.132 * [misc]taylor: Taking taylor expansion of (pow PI 5) in k 1537029877.132 * [misc]taylor: Taking taylor expansion of PI in k 1537029877.133 * [misc]backup-simplify: Simplify PI into PI 1537029877.133 * [misc]taylor: Taking taylor expansion of (pow k 5) in k 1537029877.133 * [misc]taylor: Taking taylor expansion of k in k 1537029877.133 * [misc]backup-simplify: Simplify 0 into 0 1537029877.133 * [misc]backup-simplify: Simplify 1 into 1 1537029877.133 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1537029877.134 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 1537029877.135 * [misc]backup-simplify: Simplify (+ (* (pow PI 2) 0) (* 0 1)) into 0 1537029877.136 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 2))) into 0 1537029877.138 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (* 0 (* (sqrt 2) (pow PI 2)))) into 0 1537029877.140 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))))) into 0 1537029877.140 * [misc]backup-simplify: Simplify (- 0) into 0 1537029877.140 * [misc]backup-simplify: Simplify 0 into 0 1537029877.141 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1537029877.143 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537029877.145 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1537029877.148 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (* (sqrt 2) PI)) (* 0 0))))) into 0 1537029877.150 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI))) (* 0 0))))) into 0 1537029877.150 * [misc]backup-simplify: Simplify (- 0) into 0 1537029877.150 * [misc]backup-simplify: Simplify 0 into 0 1537029877.150 * [misc]backup-simplify: Simplify 0 into 0 1537029877.152 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))))) into 0 1537029877.153 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029877.159 * [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))) 1537029877.159 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1537029877.162 * [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 1537029877.166 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537029877.203 * [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 1537029877.203 * [misc]backup-simplify: Simplify (- 0) into 0 1537029877.203 * [misc]backup-simplify: Simplify (- 0) into 0 1537029877.204 * [misc]backup-simplify: Simplify (- 0) into 0 1537029877.204 * [misc]backup-simplify: Simplify (- 0) into 0 1537029877.204 * [misc]backup-simplify: Simplify (- 0) into 0 1537029877.204 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537029877.205 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k)))))))) into 0 1537029877.205 * [misc]backup-simplify: Simplify (- 0) into 0 1537029877.206 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537029877.208 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))))))) into 0 1537029877.221 * [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 1537029877.223 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537029877.225 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))))))))) into 0 1537029877.230 * [misc]backup-simplify: Simplify (+ (* (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) (* +nan.0 (* (pow PI 6) (pow k 6)))) (+ (* 0 (* +nan.0 (* (pow PI 5) (pow k 5)))) (+ (* 0 (* +nan.0 (* (pow PI 4) (pow k 4)))) (+ (* 0 (* +nan.0 (* (pow PI 3) (pow k 3)))) (+ (* 0 (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0))))))) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 6) (pow k 6)))))) 1537029877.230 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 6) (pow k 6)))))) in k 1537029877.230 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 6) (pow k 6))))) in k 1537029877.231 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1537029877.231 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537029877.231 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 6) (pow k 6)))) in k 1537029877.231 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1537029877.231 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1537029877.231 * [misc]taylor: Taking taylor expansion of -1/2 in k 1537029877.231 * [misc]backup-simplify: Simplify -1/2 into -1/2 1537029877.231 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1537029877.231 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1537029877.231 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1537029877.231 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1537029877.231 * [misc]taylor: Taking taylor expansion of 2 in k 1537029877.231 * [misc]backup-simplify: Simplify 2 into 2 1537029877.231 * [misc]taylor: Taking taylor expansion of PI in k 1537029877.231 * [misc]backup-simplify: Simplify PI into PI 1537029877.231 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537029877.232 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537029877.232 * [misc]taylor: Taking taylor expansion of (log n) in k 1537029877.232 * [misc]taylor: Taking taylor expansion of n in k 1537029877.232 * [misc]backup-simplify: Simplify n into n 1537029877.232 * [misc]backup-simplify: Simplify (log n) into (log n) 1537029877.232 * [misc]taylor: Taking taylor expansion of k in k 1537029877.232 * [misc]backup-simplify: Simplify 0 into 0 1537029877.232 * [misc]backup-simplify: Simplify 1 into 1 1537029877.232 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1537029877.233 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1537029877.233 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1537029877.234 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1537029877.235 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537029877.235 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 6) (pow k 6))) in k 1537029877.235 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537029877.235 * [misc]taylor: Taking taylor expansion of 2 in k 1537029877.235 * [misc]backup-simplify: Simplify 2 into 2 1537029877.235 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029877.235 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029877.235 * [misc]taylor: Taking taylor expansion of (* (pow PI 6) (pow k 6)) in k 1537029877.235 * [misc]taylor: Taking taylor expansion of (pow PI 6) in k 1537029877.235 * [misc]taylor: Taking taylor expansion of PI in k 1537029877.235 * [misc]backup-simplify: Simplify PI into PI 1537029877.235 * [misc]taylor: Taking taylor expansion of (pow k 6) in k 1537029877.235 * [misc]taylor: Taking taylor expansion of k in k 1537029877.235 * [misc]backup-simplify: Simplify 0 into 0 1537029877.235 * [misc]backup-simplify: Simplify 1 into 1 1537029877.236 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1537029877.237 * [misc]backup-simplify: Simplify (* PI (pow PI 2)) into (pow PI 3) 1537029877.237 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537029877.237 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537029877.238 * [misc]backup-simplify: Simplify (* (pow PI 3) 1) into (pow PI 3) 1537029877.239 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 3)) into (* (sqrt 2) (pow PI 3)) 1537029877.240 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 3))) into (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3))) 1537029877.242 * [misc]backup-simplify: Simplify (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3)))) into (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3)))) 1537029877.244 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3))))) into (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3))))) 1537029877.246 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3))))) into (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3))))) 1537029877.255 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k)))) (pow PI 3))))) (* (pow (/ 1 k) 3) (pow (/ 1 n) 2))) (+ (* (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k)))) (pow PI 2))))) (* (pow (/ 1 k) 2) (/ 1 n))) (* (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k)))) (* (sqrt 2) PI)))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (pow PI 2))) (* n (pow k 2)))) (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (pow PI 3))) (* (pow n 2) (pow k 3)))) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) PI)) k))))))) 1537029877.255 * [misc]backup-simplify: Simplify (/ (sqrt (* (* 2 (/ 1 (- n))) PI)) (/ (sqrt (/ 1 (- k))) (pow (* PI (* (/ 1 (- n)) 2)) (- (/ (/ 1 (- k)) 2))))) into (/ (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) (sqrt (/ -1 k))) 1537029877.255 * [misc]approximate: Taking taylor expansion of (/ (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) (sqrt (/ -1 k))) in (n k) around 0 1537029877.255 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) (sqrt (/ -1 k))) in k 1537029877.256 * [misc]taylor: Taking taylor expansion of (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) in k 1537029877.256 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in k 1537029877.256 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1537029877.256 * [misc]taylor: Taking taylor expansion of -2 in k 1537029877.256 * [misc]backup-simplify: Simplify -2 into -2 1537029877.256 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1537029877.256 * [misc]taylor: Taking taylor expansion of PI in k 1537029877.256 * [misc]backup-simplify: Simplify PI into PI 1537029877.256 * [misc]taylor: Taking taylor expansion of n in k 1537029877.256 * [misc]backup-simplify: Simplify n into n 1537029877.256 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537029877.256 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1537029877.256 * [misc]backup-simplify: Simplify (sqrt (* -2 (/ PI n))) into (sqrt (* -2 (/ PI n))) 1537029877.256 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 1537029877.257 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (/ PI n))) into 0 1537029877.257 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* -2 (/ PI n))))) into 0 1537029877.257 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) in k 1537029877.257 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) in k 1537029877.257 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n)))) in k 1537029877.257 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1537029877.257 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537029877.257 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029877.257 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1537029877.257 * [misc]taylor: Taking taylor expansion of k in k 1537029877.257 * [misc]backup-simplify: Simplify 0 into 0 1537029877.257 * [misc]backup-simplify: Simplify 1 into 1 1537029877.258 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1537029877.258 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1537029877.258 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1537029877.258 * [misc]taylor: Taking taylor expansion of -2 in k 1537029877.258 * [misc]backup-simplify: Simplify -2 into -2 1537029877.258 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1537029877.258 * [misc]taylor: Taking taylor expansion of PI in k 1537029877.258 * [misc]backup-simplify: Simplify PI into PI 1537029877.258 * [misc]taylor: Taking taylor expansion of n in k 1537029877.258 * [misc]backup-simplify: Simplify n into n 1537029877.258 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537029877.258 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1537029877.258 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1537029877.259 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1537029877.259 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1537029877.259 * [misc]backup-simplify: Simplify (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))) 1537029877.259 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1537029877.259 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1537029877.259 * [misc]taylor: Taking taylor expansion of -1 in k 1537029877.259 * [misc]backup-simplify: Simplify -1 into -1 1537029877.259 * [misc]taylor: Taking taylor expansion of k in k 1537029877.259 * [misc]backup-simplify: Simplify 0 into 0 1537029877.259 * [misc]backup-simplify: Simplify 1 into 1 1537029877.259 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1537029877.260 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537029877.260 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1537029877.261 * [misc]backup-simplify: Simplify (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))) into (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))) 1537029877.261 * [misc]backup-simplify: Simplify (/ (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))) +nan.0) into (* +nan.0 (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))))) 1537029877.261 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) (sqrt (/ -1 k))) in n 1537029877.261 * [misc]taylor: Taking taylor expansion of (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) in n 1537029877.261 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1537029877.261 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537029877.261 * [misc]taylor: Taking taylor expansion of -2 in n 1537029877.261 * [misc]backup-simplify: Simplify -2 into -2 1537029877.261 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537029877.261 * [misc]taylor: Taking taylor expansion of PI in n 1537029877.261 * [misc]backup-simplify: Simplify PI into PI 1537029877.261 * [misc]taylor: Taking taylor expansion of n in n 1537029877.261 * [misc]backup-simplify: Simplify 0 into 0 1537029877.262 * [misc]backup-simplify: Simplify 1 into 1 1537029877.262 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537029877.262 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537029877.262 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537029877.266 * [misc]backup-simplify: Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1537029877.266 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) in n 1537029877.266 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) in n 1537029877.266 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n)))) in n 1537029877.266 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1537029877.266 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537029877.266 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029877.266 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1537029877.266 * [misc]taylor: Taking taylor expansion of k in n 1537029877.266 * [misc]backup-simplify: Simplify k into k 1537029877.266 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1537029877.266 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1537029877.266 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537029877.266 * [misc]taylor: Taking taylor expansion of -2 in n 1537029877.266 * [misc]backup-simplify: Simplify -2 into -2 1537029877.266 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537029877.266 * [misc]taylor: Taking taylor expansion of PI in n 1537029877.266 * [misc]backup-simplify: Simplify PI into PI 1537029877.266 * [misc]taylor: Taking taylor expansion of n in n 1537029877.266 * [misc]backup-simplify: Simplify 0 into 0 1537029877.266 * [misc]backup-simplify: Simplify 1 into 1 1537029877.267 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537029877.267 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537029877.267 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537029877.268 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1537029877.268 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537029877.269 * [misc]backup-simplify: Simplify (* (/ 1/2 k) (- (log (* -2 PI)) (log n))) into (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) 1537029877.270 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1537029877.270 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1537029877.270 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1537029877.270 * [misc]taylor: Taking taylor expansion of -1 in n 1537029877.270 * [misc]backup-simplify: Simplify -1 into -1 1537029877.270 * [misc]taylor: Taking taylor expansion of k in n 1537029877.270 * [misc]backup-simplify: Simplify k into k 1537029877.270 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1537029877.270 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1537029877.270 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1537029877.270 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1537029877.271 * [misc]backup-simplify: Simplify (* 0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) into 0 1537029877.272 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537029877.273 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537029877.276 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1537029877.276 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1537029877.277 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1537029877.277 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537029877.278 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1537029877.280 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1537029877.281 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (* +nan.0 PI) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1537029877.282 * [misc]backup-simplify: Simplify (/ (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) (sqrt (/ -1 k))) into (* +nan.0 (/ (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k)))) 1537029877.282 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) (sqrt (/ -1 k))) in n 1537029877.282 * [misc]taylor: Taking taylor expansion of (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) in n 1537029877.282 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1537029877.282 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537029877.282 * [misc]taylor: Taking taylor expansion of -2 in n 1537029877.282 * [misc]backup-simplify: Simplify -2 into -2 1537029877.282 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537029877.282 * [misc]taylor: Taking taylor expansion of PI in n 1537029877.283 * [misc]backup-simplify: Simplify PI into PI 1537029877.283 * [misc]taylor: Taking taylor expansion of n in n 1537029877.283 * [misc]backup-simplify: Simplify 0 into 0 1537029877.283 * [misc]backup-simplify: Simplify 1 into 1 1537029877.283 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537029877.283 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537029877.283 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537029877.284 * [misc]backup-simplify: Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1537029877.284 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) in n 1537029877.284 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) in n 1537029877.284 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n)))) in n 1537029877.284 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1537029877.284 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537029877.285 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029877.285 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1537029877.285 * [misc]taylor: Taking taylor expansion of k in n 1537029877.285 * [misc]backup-simplify: Simplify k into k 1537029877.285 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1537029877.285 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1537029877.285 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537029877.285 * [misc]taylor: Taking taylor expansion of -2 in n 1537029877.285 * [misc]backup-simplify: Simplify -2 into -2 1537029877.285 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537029877.285 * [misc]taylor: Taking taylor expansion of PI in n 1537029877.285 * [misc]backup-simplify: Simplify PI into PI 1537029877.285 * [misc]taylor: Taking taylor expansion of n in n 1537029877.285 * [misc]backup-simplify: Simplify 0 into 0 1537029877.285 * [misc]backup-simplify: Simplify 1 into 1 1537029877.285 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537029877.286 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537029877.286 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537029877.286 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1537029877.287 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537029877.288 * [misc]backup-simplify: Simplify (* (/ 1/2 k) (- (log (* -2 PI)) (log n))) into (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) 1537029877.288 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1537029877.288 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1537029877.288 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1537029877.289 * [misc]taylor: Taking taylor expansion of -1 in n 1537029877.289 * [misc]backup-simplify: Simplify -1 into -1 1537029877.289 * [misc]taylor: Taking taylor expansion of k in n 1537029877.289 * [misc]backup-simplify: Simplify k into k 1537029877.289 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1537029877.289 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1537029877.289 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1537029877.289 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1537029877.290 * [misc]backup-simplify: Simplify (* 0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) into 0 1537029877.291 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537029877.292 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537029877.295 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1537029877.295 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1537029877.295 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1537029877.296 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537029877.297 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1537029877.298 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1537029877.300 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (* +nan.0 PI) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1537029877.301 * [misc]backup-simplify: Simplify (/ (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) (sqrt (/ -1 k))) into (* +nan.0 (/ (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k)))) 1537029877.301 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k)))) in k 1537029877.301 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1537029877.301 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537029877.301 * [misc]taylor: Taking taylor expansion of (/ (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k))) in k 1537029877.301 * [misc]taylor: Taking taylor expansion of (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) in k 1537029877.301 * [misc]taylor: Taking taylor expansion of PI in k 1537029877.301 * [misc]backup-simplify: Simplify PI into PI 1537029877.301 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k 1537029877.301 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k 1537029877.301 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537029877.301 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029877.301 * [misc]taylor: Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k 1537029877.301 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1537029877.301 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1537029877.301 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1537029877.301 * [misc]taylor: Taking taylor expansion of -2 in k 1537029877.301 * [misc]backup-simplify: Simplify -2 into -2 1537029877.302 * [misc]taylor: Taking taylor expansion of PI in k 1537029877.302 * [misc]backup-simplify: Simplify PI into PI 1537029877.302 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537029877.302 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537029877.302 * [misc]taylor: Taking taylor expansion of (log n) in k 1537029877.302 * [misc]taylor: Taking taylor expansion of n in k 1537029877.303 * [misc]backup-simplify: Simplify n into n 1537029877.303 * [misc]backup-simplify: Simplify (log n) into (log n) 1537029877.303 * [misc]taylor: Taking taylor expansion of k in k 1537029877.303 * [misc]backup-simplify: Simplify 0 into 0 1537029877.303 * [misc]backup-simplify: Simplify 1 into 1 1537029877.303 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1537029877.303 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1537029877.304 * [misc]backup-simplify: Simplify (/ (- (log (* -2 PI)) (log n)) 1) into (- (log (* -2 PI)) (log n)) 1537029877.304 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1537029877.305 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1537029877.305 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1537029877.305 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1537029877.305 * [misc]taylor: Taking taylor expansion of -1 in k 1537029877.305 * [misc]backup-simplify: Simplify -1 into -1 1537029877.305 * [misc]taylor: Taking taylor expansion of k in k 1537029877.305 * [misc]backup-simplify: Simplify 0 into 0 1537029877.305 * [misc]backup-simplify: Simplify 1 into 1 1537029877.305 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1537029877.305 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537029877.305 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1537029877.306 * [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)))) 1537029877.306 * [misc]backup-simplify: Simplify (/ (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) +nan.0) into (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1537029877.307 * [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))))) 1537029877.307 * [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))))) 1537029877.308 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029877.309 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1537029877.312 * [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 1537029877.312 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537029877.313 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1537029877.313 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537029877.314 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1537029877.315 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1537029877.316 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537029877.317 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537029877.318 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1537029877.319 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (* +nan.0 PI) 0) (* (* +nan.0 (pow PI 2)) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (- (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1537029877.321 * [misc]backup-simplify: Simplify (- (/ (- (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) (sqrt (/ -1 k))) (+ (* (* +nan.0 (/ (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k)))) (/ 0 (sqrt (/ -1 k)))))) into (- (* +nan.0 (/ (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k))))) 1537029877.321 * [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 1537029877.321 * [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 1537029877.321 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1537029877.321 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537029877.321 * [misc]taylor: Taking taylor expansion of (/ (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k))) in k 1537029877.321 * [misc]taylor: Taking taylor expansion of (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) in k 1537029877.321 * [misc]taylor: Taking taylor expansion of (pow PI 2) in k 1537029877.321 * [misc]taylor: Taking taylor expansion of PI in k 1537029877.321 * [misc]backup-simplify: Simplify PI into PI 1537029877.321 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k 1537029877.321 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k 1537029877.321 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537029877.322 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029877.322 * [misc]taylor: Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k 1537029877.322 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1537029877.322 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1537029877.322 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1537029877.322 * [misc]taylor: Taking taylor expansion of -2 in k 1537029877.322 * [misc]backup-simplify: Simplify -2 into -2 1537029877.322 * [misc]taylor: Taking taylor expansion of PI in k 1537029877.322 * [misc]backup-simplify: Simplify PI into PI 1537029877.322 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537029877.322 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537029877.322 * [misc]taylor: Taking taylor expansion of (log n) in k 1537029877.322 * [misc]taylor: Taking taylor expansion of n in k 1537029877.322 * [misc]backup-simplify: Simplify n into n 1537029877.322 * [misc]backup-simplify: Simplify (log n) into (log n) 1537029877.322 * [misc]taylor: Taking taylor expansion of k in k 1537029877.322 * [misc]backup-simplify: Simplify 0 into 0 1537029877.322 * [misc]backup-simplify: Simplify 1 into 1 1537029877.322 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1537029877.323 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1537029877.323 * [misc]backup-simplify: Simplify (/ (- (log (* -2 PI)) (log n)) 1) into (- (log (* -2 PI)) (log n)) 1537029877.324 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1537029877.324 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1537029877.324 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1537029877.324 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1537029877.324 * [misc]taylor: Taking taylor expansion of -1 in k 1537029877.324 * [misc]backup-simplify: Simplify -1 into -1 1537029877.324 * [misc]taylor: Taking taylor expansion of k in k 1537029877.324 * [misc]backup-simplify: Simplify 0 into 0 1537029877.324 * [misc]backup-simplify: Simplify 1 into 1 1537029877.325 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1537029877.325 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537029877.325 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1537029877.325 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1537029877.326 * [misc]backup-simplify: Simplify (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) into (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) 1537029877.327 * [misc]backup-simplify: Simplify (/ (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) +nan.0) into (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1537029877.328 * [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))))) 1537029877.329 * [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)))))) 1537029877.329 * [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)))))) 1537029877.330 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into 0 1537029877.330 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1537029877.331 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1537029877.332 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1537029877.333 * [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)))))) 1537029877.334 * [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)))))) 1537029877.337 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k)))))))) (* (/ 1 (- k)) 1)) (+ (* (- (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k)))))))) (* 1 (/ 1 (- n)))) (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k))))))))) into (- (+ (* +nan.0 (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) PI)) (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) PI) k)) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) (pow PI 2)) n))))))) 1537029877.337 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 1) 1537029877.338 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1537029877.338 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1537029877.338 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537029877.338 * [misc]taylor: Taking taylor expansion of 2 in n 1537029877.338 * [misc]backup-simplify: Simplify 2 into 2 1537029877.338 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537029877.338 * [misc]taylor: Taking taylor expansion of n in n 1537029877.338 * [misc]backup-simplify: Simplify 0 into 0 1537029877.338 * [misc]backup-simplify: Simplify 1 into 1 1537029877.338 * [misc]taylor: Taking taylor expansion of PI in n 1537029877.338 * [misc]backup-simplify: Simplify PI into PI 1537029877.338 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537029877.338 * [misc]taylor: Taking taylor expansion of 2 in n 1537029877.338 * [misc]backup-simplify: Simplify 2 into 2 1537029877.338 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537029877.338 * [misc]taylor: Taking taylor expansion of n in n 1537029877.338 * [misc]backup-simplify: Simplify 0 into 0 1537029877.339 * [misc]backup-simplify: Simplify 1 into 1 1537029877.339 * [misc]taylor: Taking taylor expansion of PI in n 1537029877.339 * [misc]backup-simplify: Simplify PI into PI 1537029877.339 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537029877.339 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537029877.339 * [misc]backup-simplify: Simplify 0 into 0 1537029877.340 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537029877.341 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537029877.341 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537029877.342 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1537029877.343 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1537029877.343 * [misc]backup-simplify: Simplify 0 into 0 1537029877.345 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1537029877.347 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1537029877.347 * [misc]backup-simplify: Simplify 0 into 0 1537029877.349 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537029877.356 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1537029877.356 * [misc]backup-simplify: Simplify 0 into 0 1537029877.358 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537029877.361 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1537029877.361 * [misc]backup-simplify: Simplify 0 into 0 1537029877.364 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537029877.366 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1537029877.366 * [misc]backup-simplify: Simplify 0 into 0 1537029877.369 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1537029877.371 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1537029877.371 * [misc]backup-simplify: Simplify 0 into 0 1537029877.371 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1537029877.372 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1537029877.372 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1537029877.372 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537029877.372 * [misc]taylor: Taking taylor expansion of 2 in n 1537029877.372 * [misc]backup-simplify: Simplify 2 into 2 1537029877.372 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537029877.372 * [misc]taylor: Taking taylor expansion of PI in n 1537029877.372 * [misc]backup-simplify: Simplify PI into PI 1537029877.372 * [misc]taylor: Taking taylor expansion of n in n 1537029877.372 * [misc]backup-simplify: Simplify 0 into 0 1537029877.372 * [misc]backup-simplify: Simplify 1 into 1 1537029877.372 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537029877.372 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537029877.372 * [misc]taylor: Taking taylor expansion of 2 in n 1537029877.372 * [misc]backup-simplify: Simplify 2 into 2 1537029877.372 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537029877.372 * [misc]taylor: Taking taylor expansion of PI in n 1537029877.372 * [misc]backup-simplify: Simplify PI into PI 1537029877.372 * [misc]taylor: Taking taylor expansion of n in n 1537029877.372 * [misc]backup-simplify: Simplify 0 into 0 1537029877.372 * [misc]backup-simplify: Simplify 1 into 1 1537029877.372 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537029877.373 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537029877.373 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537029877.373 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537029877.374 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537029877.374 * [misc]backup-simplify: Simplify 0 into 0 1537029877.375 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029877.376 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1537029877.376 * [misc]backup-simplify: Simplify 0 into 0 1537029877.377 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029877.378 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537029877.378 * [misc]backup-simplify: Simplify 0 into 0 1537029877.380 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029877.381 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537029877.381 * [misc]backup-simplify: Simplify 0 into 0 1537029877.383 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029877.384 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537029877.385 * [misc]backup-simplify: Simplify 0 into 0 1537029877.386 * [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 1537029877.388 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537029877.388 * [misc]backup-simplify: Simplify 0 into 0 1537029877.388 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1537029877.388 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1537029877.388 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1537029877.389 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537029877.389 * [misc]taylor: Taking taylor expansion of -2 in n 1537029877.389 * [misc]backup-simplify: Simplify -2 into -2 1537029877.389 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537029877.389 * [misc]taylor: Taking taylor expansion of PI in n 1537029877.389 * [misc]backup-simplify: Simplify PI into PI 1537029877.389 * [misc]taylor: Taking taylor expansion of n in n 1537029877.389 * [misc]backup-simplify: Simplify 0 into 0 1537029877.389 * [misc]backup-simplify: Simplify 1 into 1 1537029877.389 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537029877.389 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537029877.389 * [misc]taylor: Taking taylor expansion of -2 in n 1537029877.389 * [misc]backup-simplify: Simplify -2 into -2 1537029877.389 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537029877.389 * [misc]taylor: Taking taylor expansion of PI in n 1537029877.389 * [misc]backup-simplify: Simplify PI into PI 1537029877.389 * [misc]taylor: Taking taylor expansion of n in n 1537029877.389 * [misc]backup-simplify: Simplify 0 into 0 1537029877.389 * [misc]backup-simplify: Simplify 1 into 1 1537029877.389 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537029877.390 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537029877.390 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537029877.390 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537029877.391 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537029877.391 * [misc]backup-simplify: Simplify 0 into 0 1537029877.392 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029877.393 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1537029877.393 * [misc]backup-simplify: Simplify 0 into 0 1537029877.394 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029877.395 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537029877.395 * [misc]backup-simplify: Simplify 0 into 0 1537029877.396 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029877.397 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537029877.397 * [misc]backup-simplify: Simplify 0 into 0 1537029877.398 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029877.400 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537029877.400 * [misc]backup-simplify: Simplify 0 into 0 1537029877.402 * [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 1537029877.404 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537029877.404 * [misc]backup-simplify: Simplify 0 into 0 1537029877.404 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1537029877.404 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1) 1537029877.404 * [misc]backup-simplify: Simplify (* (* 2 n) PI) into (* 2 (* n PI)) 1537029877.404 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1537029877.404 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537029877.404 * [misc]taylor: Taking taylor expansion of 2 in n 1537029877.404 * [misc]backup-simplify: Simplify 2 into 2 1537029877.404 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537029877.404 * [misc]taylor: Taking taylor expansion of n in n 1537029877.404 * [misc]backup-simplify: Simplify 0 into 0 1537029877.404 * [misc]backup-simplify: Simplify 1 into 1 1537029877.405 * [misc]taylor: Taking taylor expansion of PI in n 1537029877.405 * [misc]backup-simplify: Simplify PI into PI 1537029877.405 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537029877.405 * [misc]taylor: Taking taylor expansion of 2 in n 1537029877.405 * [misc]backup-simplify: Simplify 2 into 2 1537029877.405 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537029877.405 * [misc]taylor: Taking taylor expansion of n in n 1537029877.405 * [misc]backup-simplify: Simplify 0 into 0 1537029877.405 * [misc]backup-simplify: Simplify 1 into 1 1537029877.405 * [misc]taylor: Taking taylor expansion of PI in n 1537029877.405 * [misc]backup-simplify: Simplify PI into PI 1537029877.405 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537029877.405 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537029877.405 * [misc]backup-simplify: Simplify 0 into 0 1537029877.406 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537029877.406 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537029877.406 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537029877.407 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1537029877.408 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1537029877.408 * [misc]backup-simplify: Simplify 0 into 0 1537029877.409 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1537029877.410 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1537029877.410 * [misc]backup-simplify: Simplify 0 into 0 1537029877.411 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537029877.412 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1537029877.412 * [misc]backup-simplify: Simplify 0 into 0 1537029877.414 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537029877.416 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1537029877.416 * [misc]backup-simplify: Simplify 0 into 0 1537029877.418 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537029877.420 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1537029877.420 * [misc]backup-simplify: Simplify 0 into 0 1537029877.423 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1537029877.425 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1537029877.425 * [misc]backup-simplify: Simplify 0 into 0 1537029877.425 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1537029877.425 * [misc]backup-simplify: Simplify (* (* 2 (/ 1 n)) PI) into (* 2 (/ PI n)) 1537029877.425 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1537029877.425 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537029877.425 * [misc]taylor: Taking taylor expansion of 2 in n 1537029877.426 * [misc]backup-simplify: Simplify 2 into 2 1537029877.426 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537029877.426 * [misc]taylor: Taking taylor expansion of PI in n 1537029877.426 * [misc]backup-simplify: Simplify PI into PI 1537029877.426 * [misc]taylor: Taking taylor expansion of n in n 1537029877.426 * [misc]backup-simplify: Simplify 0 into 0 1537029877.426 * [misc]backup-simplify: Simplify 1 into 1 1537029877.426 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537029877.426 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537029877.426 * [misc]taylor: Taking taylor expansion of 2 in n 1537029877.426 * [misc]backup-simplify: Simplify 2 into 2 1537029877.426 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537029877.426 * [misc]taylor: Taking taylor expansion of PI in n 1537029877.426 * [misc]backup-simplify: Simplify PI into PI 1537029877.426 * [misc]taylor: Taking taylor expansion of n in n 1537029877.426 * [misc]backup-simplify: Simplify 0 into 0 1537029877.426 * [misc]backup-simplify: Simplify 1 into 1 1537029877.426 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537029877.426 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537029877.427 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537029877.427 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537029877.428 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537029877.428 * [misc]backup-simplify: Simplify 0 into 0 1537029877.429 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029877.429 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1537029877.430 * [misc]backup-simplify: Simplify 0 into 0 1537029877.431 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029877.432 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537029877.432 * [misc]backup-simplify: Simplify 0 into 0 1537029877.433 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029877.434 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537029877.434 * [misc]backup-simplify: Simplify 0 into 0 1537029877.436 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029877.439 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537029877.439 * [misc]backup-simplify: Simplify 0 into 0 1537029877.441 * [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 1537029877.445 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537029877.445 * [misc]backup-simplify: Simplify 0 into 0 1537029877.445 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1537029877.445 * [misc]backup-simplify: Simplify (* (* 2 (/ 1 (- n))) PI) into (* -2 (/ PI n)) 1537029877.445 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1537029877.445 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537029877.445 * [misc]taylor: Taking taylor expansion of -2 in n 1537029877.445 * [misc]backup-simplify: Simplify -2 into -2 1537029877.445 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537029877.446 * [misc]taylor: Taking taylor expansion of PI in n 1537029877.446 * [misc]backup-simplify: Simplify PI into PI 1537029877.446 * [misc]taylor: Taking taylor expansion of n in n 1537029877.446 * [misc]backup-simplify: Simplify 0 into 0 1537029877.446 * [misc]backup-simplify: Simplify 1 into 1 1537029877.446 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537029877.446 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537029877.446 * [misc]taylor: Taking taylor expansion of -2 in n 1537029877.446 * [misc]backup-simplify: Simplify -2 into -2 1537029877.446 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537029877.446 * [misc]taylor: Taking taylor expansion of PI in n 1537029877.446 * [misc]backup-simplify: Simplify PI into PI 1537029877.446 * [misc]taylor: Taking taylor expansion of n in n 1537029877.446 * [misc]backup-simplify: Simplify 0 into 0 1537029877.446 * [misc]backup-simplify: Simplify 1 into 1 1537029877.447 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537029877.447 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537029877.447 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537029877.449 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537029877.449 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537029877.449 * [misc]backup-simplify: Simplify 0 into 0 1537029877.451 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029877.452 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1537029877.452 * [misc]backup-simplify: Simplify 0 into 0 1537029877.454 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029877.456 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537029877.456 * [misc]backup-simplify: Simplify 0 into 0 1537029877.458 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029877.460 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537029877.460 * [misc]backup-simplify: Simplify 0 into 0 1537029877.462 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029877.465 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537029877.465 * [misc]backup-simplify: Simplify 0 into 0 1537029877.468 * [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 1537029877.472 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537029877.472 * [misc]backup-simplify: Simplify 0 into 0 1537029877.472 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1537029877.472 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1) 1537029877.473 * [misc]backup-simplify: Simplify (sqrt (* (* 2 n) PI)) into (* (sqrt 2) (sqrt (* n PI))) 1537029877.473 * [misc]approximate: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in (n) around 0 1537029877.473 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1537029877.473 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537029877.473 * [misc]taylor: Taking taylor expansion of 2 in n 1537029877.473 * [misc]backup-simplify: Simplify 2 into 2 1537029877.473 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029877.473 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029877.473 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1537029877.473 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537029877.473 * [misc]taylor: Taking taylor expansion of n in n 1537029877.473 * [misc]backup-simplify: Simplify 0 into 0 1537029877.473 * [misc]backup-simplify: Simplify 1 into 1 1537029877.473 * [misc]taylor: Taking taylor expansion of PI in n 1537029877.473 * [misc]backup-simplify: Simplify PI into PI 1537029877.474 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537029877.474 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537029877.475 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537029877.475 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1537029877.475 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1537029877.475 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537029877.475 * [misc]taylor: Taking taylor expansion of 2 in n 1537029877.475 * [misc]backup-simplify: Simplify 2 into 2 1537029877.475 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029877.476 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029877.476 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1537029877.476 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537029877.476 * [misc]taylor: Taking taylor expansion of n in n 1537029877.476 * [misc]backup-simplify: Simplify 0 into 0 1537029877.476 * [misc]backup-simplify: Simplify 1 into 1 1537029877.476 * [misc]taylor: Taking taylor expansion of PI in n 1537029877.476 * [misc]backup-simplify: Simplify PI into PI 1537029877.476 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537029877.477 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537029877.477 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537029877.478 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1537029877.478 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1537029877.478 * [misc]backup-simplify: Simplify 0 into 0 1537029877.479 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1537029877.480 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1537029877.482 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1537029877.484 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1537029877.485 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1537029877.489 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1537029877.492 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1537029877.493 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1537029877.495 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 PI) (* +nan.0 (pow PI 2)))))) (* 2 0)) into (* +nan.0 (pow PI 3)) 1537029877.495 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537029877.498 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 3))) (+ (* 0 (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) 1537029877.499 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) 1537029877.503 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) (pow n 3)) (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow n 2)) (* (- (* +nan.0 (* (sqrt 2) PI))) n))) into (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow n 3) (pow PI 3)))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))) 1537029877.503 * [misc]backup-simplify: Simplify (sqrt (* (* 2 (/ 1 n)) PI)) into (* (sqrt 2) (sqrt (/ PI n))) 1537029877.503 * [misc]approximate: Taking taylor expansion of (* (sqrt 2) (sqrt (/ PI n))) in (n) around 0 1537029877.503 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (/ PI n))) in n 1537029877.503 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537029877.503 * [misc]taylor: Taking taylor expansion of 2 in n 1537029877.503 * [misc]backup-simplify: Simplify 2 into 2 1537029877.503 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029877.503 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029877.504 * [misc]taylor: Taking taylor expansion of (sqrt (/ PI n)) in n 1537029877.504 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537029877.504 * [misc]taylor: Taking taylor expansion of PI in n 1537029877.504 * [misc]backup-simplify: Simplify PI into PI 1537029877.504 * [misc]taylor: Taking taylor expansion of n in n 1537029877.504 * [misc]backup-simplify: Simplify 0 into 0 1537029877.504 * [misc]backup-simplify: Simplify 1 into 1 1537029877.504 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537029877.504 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537029877.504 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1537029877.504 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (/ PI n))) in n 1537029877.504 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537029877.504 * [misc]taylor: Taking taylor expansion of 2 in n 1537029877.504 * [misc]backup-simplify: Simplify 2 into 2 1537029877.505 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029877.505 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029877.505 * [misc]taylor: Taking taylor expansion of (sqrt (/ PI n)) in n 1537029877.505 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537029877.505 * [misc]taylor: Taking taylor expansion of PI in n 1537029877.505 * [misc]backup-simplify: Simplify PI into PI 1537029877.505 * [misc]taylor: Taking taylor expansion of n in n 1537029877.505 * [misc]backup-simplify: Simplify 0 into 0 1537029877.505 * [misc]backup-simplify: Simplify 1 into 1 1537029877.505 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537029877.505 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537029877.505 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1537029877.506 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1537029877.506 * [misc]backup-simplify: Simplify 0 into 0 1537029877.506 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1537029877.507 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1537029877.508 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537029877.509 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1537029877.510 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1537029877.512 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1537029877.513 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1537029877.514 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029877.516 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 PI) (* +nan.0 (pow PI 2)))))) (* 2 0)) into (* +nan.0 (pow PI 3)) 1537029877.516 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537029877.519 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 3))) (+ (* 0 (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) 1537029877.520 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) 1537029877.524 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) (pow (/ 1 n) 2)) (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (/ 1 n)) (- (* +nan.0 (* (sqrt 2) PI))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (pow n 2))) (- (+ (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) n)) (- (* +nan.0 (* (sqrt 2) PI))))))) 1537029877.524 * [misc]backup-simplify: Simplify (sqrt (* (* 2 (/ 1 (- n))) PI)) into (sqrt (* -2 (/ PI n))) 1537029877.524 * [misc]approximate: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in (n) around 0 1537029877.524 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1537029877.524 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537029877.524 * [misc]taylor: Taking taylor expansion of -2 in n 1537029877.524 * [misc]backup-simplify: Simplify -2 into -2 1537029877.524 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537029877.524 * [misc]taylor: Taking taylor expansion of PI in n 1537029877.524 * [misc]backup-simplify: Simplify PI into PI 1537029877.524 * [misc]taylor: Taking taylor expansion of n in n 1537029877.524 * [misc]backup-simplify: Simplify 0 into 0 1537029877.524 * [misc]backup-simplify: Simplify 1 into 1 1537029877.524 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537029877.525 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537029877.525 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537029877.525 * [misc]backup-simplify: Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1537029877.525 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1537029877.525 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537029877.525 * [misc]taylor: Taking taylor expansion of -2 in n 1537029877.525 * [misc]backup-simplify: Simplify -2 into -2 1537029877.525 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537029877.525 * [misc]taylor: Taking taylor expansion of PI in n 1537029877.525 * [misc]backup-simplify: Simplify PI into PI 1537029877.525 * [misc]taylor: Taking taylor expansion of n in n 1537029877.525 * [misc]backup-simplify: Simplify 0 into 0 1537029877.525 * [misc]backup-simplify: Simplify 1 into 1 1537029877.526 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537029877.526 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537029877.526 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537029877.526 * [misc]backup-simplify: Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1537029877.526 * [misc]backup-simplify: Simplify 0 into 0 1537029877.527 * [misc]backup-simplify: Simplify (* +nan.0 PI) into (* +nan.0 PI) 1537029877.527 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537029877.528 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537029877.529 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1537029877.530 * [misc]backup-simplify: Simplify (* +nan.0 (pow PI 2)) into (* +nan.0 (pow PI 2)) 1537029877.530 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029877.531 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1537029877.533 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 PI) (* +nan.0 (pow PI 2)))))) (* 2 0)) into (* +nan.0 (pow PI 3)) 1537029877.534 * [misc]backup-simplify: Simplify (* +nan.0 (pow PI 3)) into (* +nan.0 (pow PI 3)) 1537029877.536 * [misc]backup-simplify: Simplify (+ (* (* +nan.0 (pow PI 3)) (pow (/ 1 (- n)) 2)) (+ (* (* +nan.0 (pow PI 2)) (/ 1 (- n))) (* +nan.0 PI))) into (- (+ (* +nan.0 PI) (- (+ (* +nan.0 (/ (pow PI 3) (pow n 2))) (- (* +nan.0 (/ (pow PI 2) n))))))) 1537029877.536 * * * [misc]progress: simplifying candidates 1537029877.536 * * * * [misc]progress: [ 1 / 158 ] simplifiying candidate # 1537029877.536 * * * * [misc]progress: [ 2 / 158 ] simplifiying candidate # 1537029877.536 * * * * [misc]progress: [ 3 / 158 ] simplifiying candidate # 1537029877.536 * * * * [misc]progress: [ 4 / 158 ] simplifiying candidate # 1537029877.536 * [enter]simplify: Simplifying (- (log (sqrt (* (* 2 n) PI))) (- (log (sqrt k)) (* (log (* PI (* n 2))) (- (/ k 2))))) 1537029877.537 * * [misc]simplify: iters left: 6 (18 enodes) 1537029877.545 * * [misc]simplify: iters left: 5 (37 enodes) 1537029877.562 * * [misc]simplify: iters left: 4 (74 enodes) 1537029877.609 * * [misc]simplify: iters left: 3 (207 enodes) 1537029877.689 * * [misc]simplify: iters left: 2 (498 enodes) 1537029878.153 * [exit]simplify: Simplified to (- (log (sqrt (* (* 2 n) PI))) (fma (log (* (* 2 n) PI)) (/ k 2) (log (sqrt k)))) 1537029878.153 * [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)))))) 1537029878.153 * * * * [misc]progress: [ 5 / 158 ] simplifiying candidate # 1537029878.153 * [enter]simplify: Simplifying (- (log (sqrt (* (* 2 n) PI))) (- (log (sqrt k)) (* (log (* PI (* n 2))) (- (/ k 2))))) 1537029878.155 * * [misc]simplify: iters left: 6 (18 enodes) 1537029878.160 * * [misc]simplify: iters left: 5 (37 enodes) 1537029878.170 * * [misc]simplify: iters left: 4 (74 enodes) 1537029878.215 * * [misc]simplify: iters left: 3 (207 enodes) 1537029878.314 * * [misc]simplify: iters left: 2 (498 enodes) 1537029878.829 * [exit]simplify: Simplified to (- (log (sqrt (* (* 2 n) PI))) (fma (log (* (* 2 n) PI)) (/ k 2) (log (sqrt k)))) 1537029878.829 * [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)))))) 1537029878.829 * * * * [misc]progress: [ 6 / 158 ] simplifiying candidate # 1537029878.829 * [enter]simplify: Simplifying (- (log (sqrt (* (* 2 n) PI))) (- (log (sqrt k)) (log (pow (* PI (* n 2)) (- (/ k 2)))))) 1537029878.830 * * [misc]simplify: iters left: 6 (18 enodes) 1537029878.835 * * [misc]simplify: iters left: 5 (33 enodes) 1537029878.843 * * [misc]simplify: iters left: 4 (64 enodes) 1537029878.875 * * [misc]simplify: iters left: 3 (168 enodes) 1537029879.468 * [exit]simplify: Simplified to (- (log (sqrt (* 2 (* PI n)))) (fma (/ k 2) (log (* 2 (* PI n))) (log (sqrt k)))) 1537029879.468 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (log (sqrt (* 2 (* PI n)))) (fma (/ k 2) (log (* 2 (* PI n))) (log (sqrt k)))))) 1537029879.468 * * * * [misc]progress: [ 7 / 158 ] simplifiying candidate # 1537029879.469 * [enter]simplify: Simplifying (- (log (sqrt (* (* 2 n) PI))) (log (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1537029879.471 * * [misc]simplify: iters left: 6 (17 enodes) 1537029879.483 * * [misc]simplify: iters left: 5 (29 enodes) 1537029879.494 * * [misc]simplify: iters left: 4 (40 enodes) 1537029879.511 * * [misc]simplify: iters left: 3 (70 enodes) 1537029879.556 * * [misc]simplify: iters left: 2 (201 enodes) 1537029879.858 * [exit]simplify: Simplified to (- (log (sqrt (* (* 2 n) PI))) (fma (/ k 2) (log (* (* 2 n) PI)) (log (sqrt k)))) 1537029879.858 * [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)))))) 1537029879.858 * * * * [misc]progress: [ 8 / 158 ] simplifiying candidate # 1537029879.858 * * * * [misc]progress: [ 9 / 158 ] simplifiying candidate # 1537029879.858 * * * * [misc]progress: [ 10 / 158 ] simplifiying candidate # 1537029879.859 * [enter]simplify: Simplifying (/ (* (* (sqrt (* (* 2 n) PI)) (sqrt (* (* 2 n) PI))) (sqrt (* (* 2 n) PI))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* PI (* n 2)) (- (/ k 2))) (pow (* PI (* n 2)) (- (/ k 2)))) (pow (* PI (* n 2)) (- (/ k 2)))))) 1537029879.861 * * [misc]simplify: iters left: 6 (21 enodes) 1537029879.870 * * [misc]simplify: iters left: 5 (41 enodes) 1537029879.887 * * [misc]simplify: iters left: 4 (135 enodes) 1537029880.121 * [exit]simplify: Simplified to (* (* (/ (* 2 (* PI n)) (* (sqrt k) k)) (sqrt (* 2 (* PI n)))) (pow (pow (* 2 (* PI n)) (/ (- k) 2)) 3)) 1537029880.122 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (* (/ (* 2 (* PI n)) (* (sqrt k) k)) (sqrt (* 2 (* PI n)))) (pow (pow (* 2 (* PI n)) (/ (- k) 2)) 3)))) 1537029880.122 * * * * [misc]progress: [ 11 / 158 ] simplifiying candidate # 1537029880.122 * [enter]simplify: Simplifying (/ (* (* (sqrt (* (* 2 n) PI)) (sqrt (* (* 2 n) PI))) (sqrt (* (* 2 n) PI))) (* (* (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1537029880.123 * * [misc]simplify: iters left: 6 (19 enodes) 1537029880.128 * * [misc]simplify: iters left: 5 (40 enodes) 1537029880.146 * * [misc]simplify: iters left: 4 (128 enodes) 1537029880.366 * [exit]simplify: Simplified to (/ (/ (* (* (* 2 n) PI) (pow (* (* 2 n) PI) (/ (- k) 2))) (/ k (pow (* (* 2 n) PI) (/ (- k) 2)))) (/ (/ (sqrt k) (pow (* (* 2 n) PI) (/ (- k) 2))) (sqrt (* (* 2 n) PI)))) 1537029880.366 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (/ (/ (* (* (* 2 n) PI) (pow (* (* 2 n) PI) (/ (- k) 2))) (/ k (pow (* (* 2 n) PI) (/ (- k) 2)))) (/ (/ (sqrt k) (pow (* (* 2 n) PI) (/ (- k) 2))) (sqrt (* (* 2 n) PI)))))) 1537029880.366 * * * * [misc]progress: [ 12 / 158 ] simplifiying candidate # 1537029880.366 * * * * [misc]progress: [ 13 / 158 ] simplifiying candidate # 1537029880.366 * * * * [misc]progress: [ 14 / 158 ] simplifiying candidate # 1537029880.366 * * * * [misc]progress: [ 15 / 158 ] simplifiying candidate # 1537029880.366 * * * * [misc]progress: [ 16 / 158 ] simplifiying candidate # 1537029880.366 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1537029880.368 * * [misc]simplify: iters left: 6 (19 enodes) 1537029880.372 * * [misc]simplify: iters left: 5 (32 enodes) 1537029880.378 * * [misc]simplify: iters left: 4 (45 enodes) 1537029880.385 * * [misc]simplify: iters left: 3 (49 enodes) 1537029880.392 * * [misc]simplify: iters left: 2 (52 enodes) 1537029880.409 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (* (* PI 2) n))) (cbrt (/ (sqrt k) (pow (* (* PI 2) n) (- (/ k 2)))))) (/ (cbrt (sqrt (* (* PI 2) n))) (cbrt (/ (sqrt k) (pow (* (* PI 2) n) (- (/ k 2))))))) 1537029880.409 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (sqrt (* (* PI 2) n))) (cbrt (/ (sqrt k) (pow (* (* PI 2) n) (- (/ k 2)))))) (/ (cbrt (sqrt (* (* PI 2) n))) (cbrt (/ (sqrt k) (pow (* (* PI 2) n) (- (/ k 2))))))) (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))))) 1537029880.409 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1537029880.411 * * [misc]simplify: iters left: 6 (17 enodes) 1537029880.418 * * [misc]simplify: iters left: 5 (24 enodes) 1537029880.427 * * [misc]simplify: iters left: 4 (28 enodes) 1537029880.435 * * [misc]simplify: iters left: 3 (29 enodes) 1537029880.446 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* PI 2) n))) (cbrt (/ (sqrt k) (pow (* (* PI 2) n) (- (/ k 2)))))) 1537029880.446 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) (/ (cbrt (sqrt (* (* PI 2) n))) (cbrt (/ (sqrt k) (pow (* (* PI 2) n) (- (/ k 2)))))))) 1537029880.446 * * * * [misc]progress: [ 17 / 158 ] simplifiying candidate # 1537029880.446 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1537029880.448 * * [misc]simplify: iters left: 6 (18 enodes) 1537029880.451 * * [misc]simplify: iters left: 5 (27 enodes) 1537029880.456 * * [misc]simplify: iters left: 4 (33 enodes) 1537029880.461 * * [misc]simplify: iters left: 3 (35 enodes) 1537029880.468 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (* n (* PI 2)))) (cbrt (sqrt (* n (* PI 2))))) (sqrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- k) 2))))) 1537029880.468 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (sqrt (* n (* PI 2)))) (cbrt (sqrt (* n (* PI 2))))) (sqrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- k) 2))))) (/ (cbrt (sqrt (* (* 2 n) PI))) (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))))) 1537029880.468 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1537029880.469 * * [misc]simplify: iters left: 6 (17 enodes) 1537029880.472 * * [misc]simplify: iters left: 5 (24 enodes) 1537029880.477 * * [misc]simplify: iters left: 4 (28 enodes) 1537029880.486 * * [misc]simplify: iters left: 3 (29 enodes) 1537029880.496 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* PI 2) n))) (sqrt (/ (sqrt k) (pow (* (* PI 2) n) (- (/ k 2)))))) 1537029880.496 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) (/ (cbrt (sqrt (* (* PI 2) n))) (sqrt (/ (sqrt k) (pow (* (* PI 2) n) (- (/ k 2)))))))) 1537029880.496 * * * * [misc]progress: [ 18 / 158 ] simplifiying candidate # 1537029880.497 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- (/ k 2))))) 1537029880.500 * * [misc]simplify: iters left: 6 (17 enodes) 1537029880.508 * * [misc]simplify: iters left: 5 (29 enodes) 1537029880.514 * * [misc]simplify: iters left: 4 (50 enodes) 1537029880.526 * * [misc]simplify: iters left: 3 (92 enodes) 1537029880.551 * * [misc]simplify: iters left: 2 (141 enodes) 1537029880.595 * * [misc]simplify: iters left: 1 (170 enodes) 1537029880.666 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- k) 2)))) 1537029880.666 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- k) 2)))) (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1537029880.667 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1537029880.668 * * [misc]simplify: iters left: 6 (16 enodes) 1537029880.676 * * [misc]simplify: iters left: 5 (23 enodes) 1537029880.684 * * [misc]simplify: iters left: 4 (32 enodes) 1537029880.691 * * [misc]simplify: iters left: 3 (35 enodes) 1537029880.697 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* n (* PI 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- (/ k 2))))) 1537029880.697 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- (/ k 2))))) (/ (cbrt (sqrt (* n (* PI 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- (/ k 2))))))) 1537029880.697 * * * * [misc]progress: [ 19 / 158 ] simplifiying candidate # 1537029880.697 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))) 1537029880.699 * * [misc]simplify: iters left: 6 (21 enodes) 1537029880.704 * * [misc]simplify: iters left: 5 (38 enodes) 1537029880.714 * * [misc]simplify: iters left: 4 (73 enodes) 1537029880.735 * * [misc]simplify: iters left: 3 (144 enodes) 1537029880.783 * * [misc]simplify: iters left: 2 (276 enodes) 1537029880.930 * * [misc]simplify: iters left: 1 (386 enodes) 1537029881.206 * [exit]simplify: Simplified to (* (* (cbrt (sqrt (* (* 2 n) PI))) (/ (cbrt (pow (* (* 2 n) PI) (/ (- k) 2))) (cbrt (sqrt k)))) (* (cbrt (sqrt (* (* 2 n) PI))) (/ (cbrt (pow (* (* 2 n) PI) (/ (- k) 2))) (cbrt (sqrt k))))) 1537029881.206 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (sqrt (* (* 2 n) PI))) (/ (cbrt (pow (* (* 2 n) PI) (/ (- k) 2))) (cbrt (sqrt k)))) (* (cbrt (sqrt (* (* 2 n) PI))) (/ (cbrt (pow (* (* 2 n) PI) (/ (- k) 2))) (cbrt (sqrt k))))) (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1537029881.206 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537029881.207 * * [misc]simplify: iters left: 6 (18 enodes) 1537029881.211 * * [misc]simplify: iters left: 5 (27 enodes) 1537029881.221 * * [misc]simplify: iters left: 4 (34 enodes) 1537029881.232 * * [misc]simplify: iters left: 3 (37 enodes) 1537029881.247 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* n (* PI 2)) (/ (- k) 2))) (cbrt (sqrt (* n (* PI 2))))) (cbrt (sqrt k))) 1537029881.247 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))) (/ (* (cbrt (pow (* n (* PI 2)) (/ (- k) 2))) (cbrt (sqrt (* n (* PI 2))))) (cbrt (sqrt k))))) 1537029881.247 * * * * [misc]progress: [ 20 / 158 ] simplifiying candidate # 1537029881.247 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537029881.249 * * [misc]simplify: iters left: 6 (20 enodes) 1537029881.253 * * [misc]simplify: iters left: 5 (33 enodes) 1537029881.260 * * [misc]simplify: iters left: 4 (52 enodes) 1537029881.277 * * [misc]simplify: iters left: 3 (95 enodes) 1537029881.324 * * [misc]simplify: iters left: 2 (152 enodes) 1537029881.390 * * [misc]simplify: iters left: 1 (185 enodes) 1537029881.494 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ (- k) 2))))) 1537029881.494 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ (- k) 2))))) (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1537029881.494 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537029881.496 * * [misc]simplify: iters left: 6 (18 enodes) 1537029881.504 * * [misc]simplify: iters left: 5 (27 enodes) 1537029881.514 * * [misc]simplify: iters left: 4 (34 enodes) 1537029881.524 * * [misc]simplify: iters left: 3 (37 enodes) 1537029881.538 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* n (* PI 2)) (/ (- k) 2))) (cbrt (sqrt (* n (* PI 2))))) (cbrt (sqrt k))) 1537029881.538 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) (/ (* (sqrt (pow (* n (* PI 2)) (/ (- k) 2))) (cbrt (sqrt (* n (* PI 2))))) (cbrt (sqrt k))))) 1537029881.539 * * * * [misc]progress: [ 21 / 158 ] simplifiying candidate # 1537029881.539 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1537029881.540 * * [misc]simplify: iters left: 6 (15 enodes) 1537029881.546 * * [misc]simplify: iters left: 5 (27 enodes) 1537029881.554 * * [misc]simplify: iters left: 4 (51 enodes) 1537029881.565 * * [misc]simplify: iters left: 3 (78 enodes) 1537029881.584 * * [misc]simplify: iters left: 2 (149 enodes) 1537029881.639 * * [misc]simplify: iters left: 1 (239 enodes) 1537029881.695 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (* (* PI 2) n))) (cbrt (sqrt k))) (/ (cbrt (sqrt (* (* PI 2) n))) (cbrt (sqrt k)))) 1537029881.695 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (sqrt (* (* PI 2) n))) (cbrt (sqrt k))) (/ (cbrt (sqrt (* (* PI 2) n))) (cbrt (sqrt k)))) (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))))) 1537029881.695 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))) 1537029881.697 * * [misc]simplify: iters left: 6 (17 enodes) 1537029881.705 * * [misc]simplify: iters left: 5 (26 enodes) 1537029881.714 * * [misc]simplify: iters left: 4 (33 enodes) 1537029881.725 * * [misc]simplify: iters left: 3 (36 enodes) 1537029881.738 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* PI 2) n))) (/ (cbrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))) 1537029881.738 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (sqrt (* (* PI 2) n))) (cbrt (sqrt k))) (/ (cbrt (sqrt (* (* PI 2) n))) (cbrt (sqrt k)))) (/ (cbrt (sqrt (* (* PI 2) n))) (/ (cbrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))))) 1537029881.738 * * * * [misc]progress: [ 22 / 158 ] simplifiying candidate # 1537029881.739 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1537029881.740 * * [misc]simplify: iters left: 6 (16 enodes) 1537029881.747 * * [misc]simplify: iters left: 5 (26 enodes) 1537029881.759 * * [misc]simplify: iters left: 4 (39 enodes) 1537029881.773 * * [misc]simplify: iters left: 3 (52 enodes) 1537029881.790 * * [misc]simplify: iters left: 2 (64 enodes) 1537029881.810 * * [misc]simplify: iters left: 1 (70 enodes) 1537029881.837 * [exit]simplify: Simplified to (* (* (/ (pow PI (- (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (* (* 2 n) PI)))) (cbrt (sqrt (* (* 2 n) PI)))) 1537029881.837 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (pow PI (- (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (* (* 2 n) PI)))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1537029881.838 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1537029881.839 * * [misc]simplify: iters left: 6 (16 enodes) 1537029881.842 * * [misc]simplify: iters left: 5 (23 enodes) 1537029881.847 * * [misc]simplify: iters left: 4 (32 enodes) 1537029881.852 * * [misc]simplify: iters left: 3 (35 enodes) 1537029881.858 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* n (* PI 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- (/ k 2))))) 1537029881.858 * [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 (* n (* PI 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- (/ k 2))))))) 1537029881.858 * * * * [misc]progress: [ 23 / 158 ] simplifiying candidate # 1537029881.858 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))) 1537029881.861 * * [misc]simplify: iters left: 6 (20 enodes) 1537029881.870 * * [misc]simplify: iters left: 5 (33 enodes) 1537029881.883 * * [misc]simplify: iters left: 4 (48 enodes) 1537029881.899 * * [misc]simplify: iters left: 3 (76 enodes) 1537029881.933 * * [misc]simplify: iters left: 2 (115 enodes) 1537029881.982 * * [misc]simplify: iters left: 1 (148 enodes) 1537029882.041 * [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))) 1537029882.041 * [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 (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1537029882.041 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537029882.043 * * [misc]simplify: iters left: 6 (18 enodes) 1537029882.051 * * [misc]simplify: iters left: 5 (27 enodes) 1537029882.060 * * [misc]simplify: iters left: 4 (34 enodes) 1537029882.070 * * [misc]simplify: iters left: 3 (37 enodes) 1537029882.084 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* n (* PI 2)) (/ (- k) 2))) (cbrt (sqrt (* n (* PI 2))))) (sqrt (sqrt k))) 1537029882.084 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))) (/ (* (cbrt (pow (* n (* PI 2)) (/ (- k) 2))) (cbrt (sqrt (* n (* PI 2))))) (sqrt (sqrt k))))) 1537029882.084 * * * * [misc]progress: [ 24 / 158 ] simplifiying candidate # 1537029882.085 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537029882.087 * * [misc]simplify: iters left: 6 (19 enodes) 1537029882.095 * * [misc]simplify: iters left: 5 (30 enodes) 1537029882.104 * * [misc]simplify: iters left: 4 (41 enodes) 1537029882.112 * * [misc]simplify: iters left: 3 (54 enodes) 1537029882.121 * * [misc]simplify: iters left: 2 (66 enodes) 1537029882.132 * * [misc]simplify: iters left: 1 (72 enodes) 1537029882.149 * [exit]simplify: Simplified to (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) 1537029882.149 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1537029882.149 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537029882.150 * * [misc]simplify: iters left: 6 (18 enodes) 1537029882.154 * * [misc]simplify: iters left: 5 (27 enodes) 1537029882.159 * * [misc]simplify: iters left: 4 (34 enodes) 1537029882.164 * * [misc]simplify: iters left: 3 (37 enodes) 1537029882.171 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* n (* PI 2)) (/ (- k) 2))) (cbrt (sqrt (* n (* PI 2))))) (sqrt (sqrt k))) 1537029882.171 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) (/ (* (sqrt (pow (* n (* PI 2)) (/ (- k) 2))) (cbrt (sqrt (* n (* PI 2))))) (sqrt (sqrt k))))) 1537029882.171 * * * * [misc]progress: [ 25 / 158 ] simplifiying candidate # 1537029882.171 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (sqrt (sqrt k)) 1)) 1537029882.172 * * [misc]simplify: iters left: 6 (14 enodes) 1537029882.175 * * [misc]simplify: iters left: 5 (24 enodes) 1537029882.186 * * [misc]simplify: iters left: 4 (38 enodes) 1537029882.201 * * [misc]simplify: iters left: 3 (50 enodes) 1537029882.214 * * [misc]simplify: iters left: 2 (51 enodes) 1537029882.225 * * [misc]simplify: iters left: 1 (57 enodes) 1537029882.244 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (* (* PI 2) n))) (cbrt (sqrt (* (* PI 2) n)))) (sqrt (sqrt k))) 1537029882.244 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (sqrt (* (* PI 2) n))) (cbrt (sqrt (* (* PI 2) n)))) (sqrt (sqrt k))) (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))))) 1537029882.244 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))) 1537029882.246 * * [misc]simplify: iters left: 6 (17 enodes) 1537029882.253 * * [misc]simplify: iters left: 5 (26 enodes) 1537029882.262 * * [misc]simplify: iters left: 4 (33 enodes) 1537029882.273 * * [misc]simplify: iters left: 3 (36 enodes) 1537029882.283 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* PI 2) n))) (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))) 1537029882.283 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (sqrt (* (* PI 2) n))) (cbrt (sqrt (* (* PI 2) n)))) (sqrt (sqrt k))) (/ (cbrt (sqrt (* (* PI 2) n))) (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))))) 1537029882.283 * * * * [misc]progress: [ 26 / 158 ] simplifiying candidate # 1537029882.283 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ 1 (pow PI (- (/ k 2))))) 1537029882.284 * * [misc]simplify: iters left: 6 (15 enodes) 1537029882.288 * * [misc]simplify: iters left: 5 (27 enodes) 1537029882.293 * * [misc]simplify: iters left: 4 (40 enodes) 1537029882.301 * * [misc]simplify: iters left: 3 (56 enodes) 1537029882.313 * * [misc]simplify: iters left: 2 (79 enodes) 1537029882.343 * * [misc]simplify: iters left: 1 (158 enodes) 1537029882.419 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (* (cbrt (sqrt (* (* PI 2) n))) (cbrt (sqrt (* (* PI 2) n))))) 1537029882.419 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow PI (/ (- k) 2)) (* (cbrt (sqrt (* (* PI 2) n))) (cbrt (sqrt (* (* PI 2) n))))) (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1537029882.420 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1537029882.421 * * [misc]simplify: iters left: 6 (15 enodes) 1537029882.424 * * [misc]simplify: iters left: 5 (22 enodes) 1537029882.428 * * [misc]simplify: iters left: 4 (31 enodes) 1537029882.435 * * [misc]simplify: iters left: 3 (34 enodes) 1537029882.446 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* PI 2) n))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1537029882.447 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (/ (- k) 2)) (* (cbrt (sqrt (* (* PI 2) n))) (cbrt (sqrt (* (* PI 2) n))))) (/ (cbrt (sqrt (* (* PI 2) n))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))))) 1537029882.447 * * * * [misc]progress: [ 27 / 158 ] simplifiying candidate # 1537029882.447 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ 1 (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))) 1537029882.448 * * [misc]simplify: iters left: 6 (19 enodes) 1537029882.453 * * [misc]simplify: iters left: 5 (34 enodes) 1537029882.460 * * [misc]simplify: iters left: 4 (49 enodes) 1537029882.471 * * [misc]simplify: iters left: 3 (78 enodes) 1537029882.504 * * [misc]simplify: iters left: 2 (186 enodes) 1537029882.696 * [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)))))) 1537029882.696 * [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 (sqrt (* (* 2 n) PI))) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1537029882.697 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537029882.699 * * [misc]simplify: iters left: 6 (17 enodes) 1537029882.706 * * [misc]simplify: iters left: 5 (26 enodes) 1537029882.715 * * [misc]simplify: iters left: 4 (33 enodes) 1537029882.725 * * [misc]simplify: iters left: 3 (36 enodes) 1537029882.741 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- (/ k 2)))) (/ (cbrt (sqrt (* (* PI 2) n))) (sqrt k))) 1537029882.741 * [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 (pow (* (* PI 2) n) (- (/ k 2)))) (/ (cbrt (sqrt (* (* PI 2) n))) (sqrt k))))) 1537029882.741 * * * * [misc]progress: [ 28 / 158 ] simplifiying candidate # 1537029882.742 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ 1 (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537029882.743 * * [misc]simplify: iters left: 6 (18 enodes) 1537029882.752 * * [misc]simplify: iters left: 5 (31 enodes) 1537029882.763 * * [misc]simplify: iters left: 4 (42 enodes) 1537029882.778 * * [misc]simplify: iters left: 3 (58 enodes) 1537029882.792 * * [misc]simplify: iters left: 2 (81 enodes) 1537029882.812 * * [misc]simplify: iters left: 1 (143 enodes) 1537029882.855 * [exit]simplify: Simplified to (* (* (cbrt (sqrt (* (* PI 2) n))) (sqrt (pow (* (* PI 2) n) (/ (- k) 2)))) (cbrt (sqrt (* (* PI 2) n)))) 1537029882.856 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (sqrt (* (* PI 2) n))) (sqrt (pow (* (* PI 2) n) (/ (- k) 2)))) (cbrt (sqrt (* (* PI 2) n)))) (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1537029882.856 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537029882.857 * * [misc]simplify: iters left: 6 (17 enodes) 1537029882.861 * * [misc]simplify: iters left: 5 (26 enodes) 1537029882.866 * * [misc]simplify: iters left: 4 (33 enodes) 1537029882.871 * * [misc]simplify: iters left: 3 (36 enodes) 1537029882.878 * [exit]simplify: Simplified to (* (sqrt (pow (* (* PI 2) n) (- (/ k 2)))) (/ (cbrt (sqrt (* (* PI 2) n))) (sqrt k))) 1537029882.878 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (sqrt (* (* PI 2) n))) (sqrt (pow (* (* PI 2) n) (/ (- k) 2)))) (cbrt (sqrt (* (* PI 2) n)))) (* (sqrt (pow (* (* PI 2) n) (- (/ k 2)))) (/ (cbrt (sqrt (* (* PI 2) n))) (sqrt k))))) 1537029882.878 * * * * [misc]progress: [ 29 / 158 ] simplifiying candidate # 1537029882.878 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ 1 1)) 1537029882.879 * * [misc]simplify: iters left: 6 (11 enodes) 1537029882.881 * * [misc]simplify: iters left: 5 (19 enodes) 1537029882.885 * * [misc]simplify: iters left: 4 (25 enodes) 1537029882.890 * * [misc]simplify: iters left: 3 (34 enodes) 1537029882.898 * * [misc]simplify: iters left: 2 (46 enodes) 1537029882.914 * * [misc]simplify: iters left: 1 (74 enodes) 1537029882.937 * [exit]simplify: Simplified to (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) 1537029882.937 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1537029882.937 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) 1537029882.939 * * [misc]simplify: iters left: 6 (16 enodes) 1537029882.946 * * [misc]simplify: iters left: 5 (25 enodes) 1537029882.955 * * [misc]simplify: iters left: 4 (32 enodes) 1537029882.966 * * [misc]simplify: iters left: 3 (35 enodes) 1537029882.978 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* n (* PI 2)))) (/ (sqrt k) (pow (* n (* PI 2)) (- (/ k 2))))) 1537029882.978 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (cbrt (sqrt (* n (* PI 2)))) (/ (sqrt k) (pow (* n (* PI 2)) (- (/ k 2))))))) 1537029882.979 * * * * [misc]progress: [ 30 / 158 ] simplifiying candidate # 1537029882.979 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) 1) 1537029882.980 * * [misc]simplify: iters left: 6 (10 enodes) 1537029882.985 * * [misc]simplify: iters left: 5 (18 enodes) 1537029882.990 * * [misc]simplify: iters left: 4 (30 enodes) 1537029882.995 * * [misc]simplify: iters left: 3 (33 enodes) 1537029882.999 * * [misc]simplify: iters left: 2 (38 enodes) 1537029883.005 * [exit]simplify: Simplified to (* (cbrt (sqrt (* (* PI n) 2))) (cbrt (sqrt (* (* PI n) 2)))) 1537029883.005 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (sqrt (* (* PI n) 2))) (cbrt (sqrt (* (* PI n) 2)))) (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1537029883.005 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) 1537029883.006 * * [misc]simplify: iters left: 6 (16 enodes) 1537029883.011 * * [misc]simplify: iters left: 5 (25 enodes) 1537029883.017 * * [misc]simplify: iters left: 4 (32 enodes) 1537029883.027 * * [misc]simplify: iters left: 3 (35 enodes) 1537029883.039 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* n (* PI 2)))) (/ (sqrt k) (pow (* n (* PI 2)) (- (/ k 2))))) 1537029883.039 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (sqrt (* (* PI n) 2))) (cbrt (sqrt (* (* PI n) 2)))) (/ (cbrt (sqrt (* n (* PI 2)))) (/ (sqrt k) (pow (* n (* PI 2)) (- (/ k 2))))))) 1537029883.040 * * * * [misc]progress: [ 31 / 158 ] simplifiying candidate # 1537029883.040 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (sqrt k)) 1537029883.041 * * [misc]simplify: iters left: 6 (11 enodes) 1537029883.046 * * [misc]simplify: iters left: 5 (17 enodes) 1537029883.053 * * [misc]simplify: iters left: 4 (25 enodes) 1537029883.061 * * [misc]simplify: iters left: 3 (27 enodes) 1537029883.069 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* PI n) 2))) (/ (sqrt k) (cbrt (sqrt (* (* PI n) 2))))) 1537029883.070 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (sqrt (* (* PI n) 2))) (/ (sqrt k) (cbrt (sqrt (* (* PI n) 2))))) (/ (cbrt (sqrt (* (* 2 n) PI))) (/ 1 (pow (* PI (* n 2)) (- (/ k 2))))))) 1537029883.070 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (/ 1 (pow (* PI (* n 2)) (- (/ k 2))))) 1537029883.071 * * [misc]simplify: iters left: 6 (16 enodes) 1537029883.074 * * [misc]simplify: iters left: 5 (27 enodes) 1537029883.079 * * [misc]simplify: iters left: 4 (34 enodes) 1537029883.085 * * [misc]simplify: iters left: 3 (45 enodes) 1537029883.091 * * [misc]simplify: iters left: 2 (47 enodes) 1537029883.097 * * [misc]simplify: iters left: 1 (52 enodes) 1537029883.106 * [exit]simplify: Simplified to (* (pow (* n (* PI 2)) (- (/ k 2))) (cbrt (sqrt (* n (* PI 2))))) 1537029883.106 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (sqrt k)) (* (pow (* n (* PI 2)) (- (/ k 2))) (cbrt (sqrt (* n (* PI 2))))))) 1537029883.106 * * * * [misc]progress: [ 32 / 158 ] simplifiying candidate # 1537029883.106 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (sqrt k) 1)) 1537029883.107 * * [misc]simplify: iters left: 6 (13 enodes) 1537029883.110 * * [misc]simplify: iters left: 5 (23 enodes) 1537029883.119 * * [misc]simplify: iters left: 4 (37 enodes) 1537029883.130 * * [misc]simplify: iters left: 3 (49 enodes) 1537029883.142 * * [misc]simplify: iters left: 2 (50 enodes) 1537029883.152 * * [misc]simplify: iters left: 1 (56 enodes) 1537029883.168 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (* (* PI n) 2))) (cbrt (sqrt (* (* PI n) 2)))) (sqrt k)) 1537029883.168 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (sqrt (* (* PI n) 2))) (cbrt (sqrt (* (* PI n) 2)))) (sqrt k)) (/ (cbrt (sqrt (* (* 2 n) PI))) (pow (* PI (* n 2)) (/ k 2))))) 1537029883.169 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (pow (* PI (* n 2)) (/ k 2))) 1537029883.170 * * [misc]simplify: iters left: 6 (13 enodes) 1537029883.175 * * [misc]simplify: iters left: 5 (18 enodes) 1537029883.181 * * [misc]simplify: iters left: 4 (22 enodes) 1537029883.188 * * [misc]simplify: iters left: 3 (24 enodes) 1537029883.196 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* 2 n) PI))) (pow (* (* 2 n) PI) (/ k 2))) 1537029883.196 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (sqrt (* (* PI n) 2))) (cbrt (sqrt (* (* PI n) 2)))) (sqrt k)) (/ (cbrt (sqrt (* (* 2 n) PI))) (pow (* (* 2 n) PI) (/ k 2))))) 1537029883.196 * * * * [misc]progress: [ 33 / 158 ] simplifiying candidate # 1537029883.196 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (sqrt k) (pow (* PI (* n 2)) 0))) 1537029883.198 * * [misc]simplify: iters left: 6 (16 enodes) 1537029883.204 * * [misc]simplify: iters left: 5 (26 enodes) 1537029883.213 * * [misc]simplify: iters left: 4 (33 enodes) 1537029883.227 * * [misc]simplify: iters left: 3 (45 enodes) 1537029883.241 * * [misc]simplify: iters left: 2 (63 enodes) 1537029883.260 * * [misc]simplify: iters left: 1 (68 enodes) 1537029883.276 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* n (* PI 2)))) (/ (sqrt k) (cbrt (sqrt (* n (* PI 2)))))) 1537029883.276 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (sqrt (* n (* PI 2)))) (/ (sqrt k) (cbrt (sqrt (* n (* PI 2)))))) (/ (cbrt (sqrt (* (* 2 n) PI))) (pow (* PI (* n 2)) (/ k 2))))) 1537029883.276 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (pow (* PI (* n 2)) (/ k 2))) 1537029883.277 * * [misc]simplify: iters left: 6 (13 enodes) 1537029883.282 * * [misc]simplify: iters left: 5 (18 enodes) 1537029883.288 * * [misc]simplify: iters left: 4 (22 enodes) 1537029883.295 * * [misc]simplify: iters left: 3 (24 enodes) 1537029883.303 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* 2 n) PI))) (pow (* (* 2 n) PI) (/ k 2))) 1537029883.303 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (cbrt (sqrt (* n (* PI 2)))) (/ (sqrt k) (cbrt (sqrt (* n (* PI 2)))))) (/ (cbrt (sqrt (* (* 2 n) PI))) (pow (* (* 2 n) PI) (/ k 2))))) 1537029883.303 * * * * [misc]progress: [ 34 / 158 ] simplifiying candidate # 1537029883.303 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1537029883.305 * * [misc]simplify: iters left: 6 (16 enodes) 1537029883.311 * * [misc]simplify: iters left: 5 (23 enodes) 1537029883.319 * * [misc]simplify: iters left: 4 (29 enodes) 1537029883.328 * * [misc]simplify: iters left: 3 (30 enodes) 1537029883.339 * [exit]simplify: Simplified to (/ (sqrt (* 2 n)) (* (cbrt (/ (sqrt k) (pow (* PI (* 2 n)) (- (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* 2 n)) (- (/ k 2))))))) 1537029883.339 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* 2 n)) (* (cbrt (/ (sqrt k) (pow (* PI (* 2 n)) (- (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* 2 n)) (- (/ k 2))))))) (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))))) 1537029883.340 * [enter]simplify: Simplifying (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1537029883.340 * * [misc]simplify: iters left: 6 (14 enodes) 1537029883.345 * * [misc]simplify: iters left: 5 (20 enodes) 1537029883.349 * * [misc]simplify: iters left: 4 (26 enodes) 1537029883.353 * * [misc]simplify: iters left: 3 (28 enodes) 1537029883.358 * [exit]simplify: Simplified to (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2)))))) 1537029883.358 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* 2 n)) (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2)))))))) 1537029883.358 * * * * [misc]progress: [ 35 / 158 ] simplifiying candidate # 1537029883.358 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1537029883.359 * * [misc]simplify: iters left: 6 (15 enodes) 1537029883.362 * * [misc]simplify: iters left: 5 (20 enodes) 1537029883.365 * * [misc]simplify: iters left: 4 (26 enodes) 1537029883.369 * * [misc]simplify: iters left: 3 (27 enodes) 1537029883.374 * [exit]simplify: Simplified to (/ (sqrt (* 2 n)) (sqrt (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))))) 1537029883.374 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))))) (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))))) 1537029883.374 * [enter]simplify: Simplifying (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1537029883.375 * * [misc]simplify: iters left: 6 (14 enodes) 1537029883.378 * * [misc]simplify: iters left: 5 (20 enodes) 1537029883.382 * * [misc]simplify: iters left: 4 (26 enodes) 1537029883.386 * * [misc]simplify: iters left: 3 (28 enodes) 1537029883.395 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2)))))) 1537029883.395 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2)))))))) 1537029883.395 * * * * [misc]progress: [ 36 / 158 ] simplifiying candidate # 1537029883.396 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- (/ k 2))))) 1537029883.397 * * [misc]simplify: iters left: 6 (14 enodes) 1537029883.403 * * [misc]simplify: iters left: 5 (21 enodes) 1537029883.411 * * [misc]simplify: iters left: 4 (28 enodes) 1537029883.419 * * [misc]simplify: iters left: 3 (40 enodes) 1537029883.426 * * [misc]simplify: iters left: 2 (45 enodes) 1537029883.433 * * [misc]simplify: iters left: 1 (52 enodes) 1537029883.444 * [exit]simplify: Simplified to (/ (* (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (pow PI (- (/ k 2)))) (cbrt (sqrt k))) 1537029883.444 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (pow PI (- (/ k 2)))) (cbrt (sqrt k))) (/ (sqrt PI) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1537029883.445 * [enter]simplify: Simplifying (/ (sqrt PI) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1537029883.445 * * [misc]simplify: iters left: 6 (13 enodes) 1537029883.448 * * [misc]simplify: iters left: 5 (18 enodes) 1537029883.451 * * [misc]simplify: iters left: 4 (21 enodes) 1537029883.457 * * [misc]simplify: iters left: 3 (23 enodes) 1537029883.466 * [exit]simplify: Simplified to (* (pow (* n 2) (/ (- k) 2)) (/ (sqrt PI) (cbrt (sqrt k)))) 1537029883.466 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* 2 n)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- (/ k 2))))) (* (pow (* n 2) (/ (- k) 2)) (/ (sqrt PI) (cbrt (sqrt k)))))) 1537029883.466 * * * * [misc]progress: [ 37 / 158 ] simplifiying candidate # 1537029883.466 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))) 1537029883.468 * * [misc]simplify: iters left: 6 (18 enodes) 1537029883.477 * * [misc]simplify: iters left: 5 (31 enodes) 1537029883.491 * * [misc]simplify: iters left: 4 (55 enodes) 1537029883.513 * * [misc]simplify: iters left: 3 (80 enodes) 1537029883.538 * * [misc]simplify: iters left: 2 (110 enodes) 1537029883.558 * * [misc]simplify: iters left: 1 (133 enodes) 1537029883.595 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* (* 2 PI) n) (- (/ k 2)))) (cbrt (sqrt k))) (* (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (pow (* (* 2 PI) n) (- (/ k 2)))))) 1537029883.595 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* 2 PI) n) (- (/ k 2)))) (cbrt (sqrt k))) (* (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (pow (* (* 2 PI) n) (- (/ k 2)))))) (/ (sqrt PI) (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1537029883.596 * [enter]simplify: Simplifying (/ (sqrt PI) (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537029883.597 * * [misc]simplify: iters left: 6 (15 enodes) 1537029883.600 * * [misc]simplify: iters left: 5 (23 enodes) 1537029883.605 * * [misc]simplify: iters left: 4 (32 enodes) 1537029883.615 * * [misc]simplify: iters left: 3 (35 enodes) 1537029883.627 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- k) 2))) (/ (sqrt PI) (cbrt (sqrt k)))) 1537029883.627 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* 2 n)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))) (* (cbrt (pow (* (* PI 2) n) (/ (- k) 2))) (/ (sqrt PI) (cbrt (sqrt k)))))) 1537029883.627 * * * * [misc]progress: [ 38 / 158 ] simplifiying candidate # 1537029883.628 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537029883.629 * * [misc]simplify: iters left: 6 (17 enodes) 1537029883.636 * * [misc]simplify: iters left: 5 (26 enodes) 1537029883.646 * * [misc]simplify: iters left: 4 (39 enodes) 1537029883.659 * * [misc]simplify: iters left: 3 (53 enodes) 1537029883.675 * * [misc]simplify: iters left: 2 (58 enodes) 1537029883.690 * * [misc]simplify: iters left: 1 (65 enodes) 1537029883.706 * [exit]simplify: Simplified to (* (sqrt (pow (* (* 2 PI) n) (- (/ k 2)))) (/ (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (sqrt k)))) 1537029883.706 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* (* 2 PI) n) (- (/ k 2)))) (/ (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (sqrt k)))) (/ (sqrt PI) (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1537029883.707 * [enter]simplify: Simplifying (/ (sqrt PI) (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537029883.707 * * [misc]simplify: iters left: 6 (15 enodes) 1537029883.711 * * [misc]simplify: iters left: 5 (23 enodes) 1537029883.715 * * [misc]simplify: iters left: 4 (32 enodes) 1537029883.720 * * [misc]simplify: iters left: 3 (35 enodes) 1537029883.727 * [exit]simplify: Simplified to (* (sqrt (pow (* (* PI 2) n) (/ (- k) 2))) (/ (sqrt PI) (cbrt (sqrt k)))) 1537029883.727 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* 2 n)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) (* (sqrt (pow (* (* PI 2) n) (/ (- k) 2))) (/ (sqrt PI) (cbrt (sqrt k)))))) 1537029883.727 * * * * [misc]progress: [ 39 / 158 ] simplifiying candidate # 1537029883.727 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1537029883.727 * * [misc]simplify: iters left: 6 (11 enodes) 1537029883.730 * * [misc]simplify: iters left: 5 (18 enodes) 1537029883.734 * * [misc]simplify: iters left: 4 (29 enodes) 1537029883.739 * * [misc]simplify: iters left: 3 (35 enodes) 1537029883.746 * * [misc]simplify: iters left: 2 (59 enodes) 1537029883.772 * * [misc]simplify: iters left: 1 (79 enodes) 1537029883.788 * [exit]simplify: Simplified to (/ (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (sqrt k))) 1537029883.788 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (sqrt PI) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))))) 1537029883.788 * [enter]simplify: Simplifying (/ (sqrt PI) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))) 1537029883.789 * * [misc]simplify: iters left: 6 (14 enodes) 1537029883.792 * * [misc]simplify: iters left: 5 (22 enodes) 1537029883.801 * * [misc]simplify: iters left: 4 (31 enodes) 1537029883.811 * * [misc]simplify: iters left: 3 (34 enodes) 1537029883.823 * [exit]simplify: Simplified to (* (pow (* (* n 2) PI) (- (/ k 2))) (/ (sqrt PI) (cbrt (sqrt k)))) 1537029883.824 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (sqrt k))) (* (pow (* (* n 2) PI) (- (/ k 2))) (/ (sqrt PI) (cbrt (sqrt k)))))) 1537029883.824 * * * * [misc]progress: [ 40 / 158 ] simplifiying candidate # 1537029883.824 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1537029883.825 * * [misc]simplify: iters left: 6 (13 enodes) 1537029883.831 * * [misc]simplify: iters left: 5 (18 enodes) 1537029883.836 * * [misc]simplify: iters left: 4 (21 enodes) 1537029883.839 * * [misc]simplify: iters left: 3 (23 enodes) 1537029883.844 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (/ (sqrt (* 2 n)) (sqrt (sqrt k)))) 1537029883.844 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow PI (/ (- k) 2)) (/ (sqrt (* 2 n)) (sqrt (sqrt k)))) (/ (sqrt PI) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1537029883.844 * [enter]simplify: Simplifying (/ (sqrt PI) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1537029883.845 * * [misc]simplify: iters left: 6 (13 enodes) 1537029883.847 * * [misc]simplify: iters left: 5 (18 enodes) 1537029883.850 * * [misc]simplify: iters left: 4 (21 enodes) 1537029883.853 * * [misc]simplify: iters left: 3 (23 enodes) 1537029883.857 * [exit]simplify: Simplified to (* (pow (* n 2) (/ (- k) 2)) (/ (sqrt PI) (sqrt (sqrt k)))) 1537029883.858 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* 2 n)) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) (* (pow (* n 2) (/ (- k) 2)) (/ (sqrt PI) (sqrt (sqrt k)))))) 1537029883.858 * * * * [misc]progress: [ 41 / 158 ] simplifiying candidate # 1537029883.858 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))) 1537029883.859 * * [misc]simplify: iters left: 6 (17 enodes) 1537029883.862 * * [misc]simplify: iters left: 5 (26 enodes) 1537029883.869 * * [misc]simplify: iters left: 4 (37 enodes) 1537029883.876 * * [misc]simplify: iters left: 3 (47 enodes) 1537029883.883 * * [misc]simplify: iters left: 2 (55 enodes) 1537029883.891 * * [misc]simplify: iters left: 1 (57 enodes) 1537029883.904 * [exit]simplify: Simplified to (* (* (cbrt (pow (* (* PI 2) n) (/ (- k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- k) 2)))) (/ (sqrt (* 2 n)) (sqrt (sqrt k)))) 1537029883.904 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow (* (* PI 2) n) (/ (- k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- k) 2)))) (/ (sqrt (* 2 n)) (sqrt (sqrt k)))) (/ (sqrt PI) (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1537029883.904 * [enter]simplify: Simplifying (/ (sqrt PI) (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537029883.905 * * [misc]simplify: iters left: 6 (15 enodes) 1537029883.908 * * [misc]simplify: iters left: 5 (23 enodes) 1537029883.913 * * [misc]simplify: iters left: 4 (32 enodes) 1537029883.918 * * [misc]simplify: iters left: 3 (35 enodes) 1537029883.924 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- k) 2))) (/ (sqrt PI) (sqrt (sqrt k)))) 1537029883.924 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* 2 n)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))) (* (cbrt (pow (* (* PI 2) n) (/ (- k) 2))) (/ (sqrt PI) (sqrt (sqrt k)))))) 1537029883.924 * * * * [misc]progress: [ 42 / 158 ] simplifiying candidate # 1537029883.924 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537029883.925 * * [misc]simplify: iters left: 6 (16 enodes) 1537029883.930 * * [misc]simplify: iters left: 5 (23 enodes) 1537029883.934 * * [misc]simplify: iters left: 4 (32 enodes) 1537029883.940 * * [misc]simplify: iters left: 3 (35 enodes) 1537029883.952 * [exit]simplify: Simplified to (* (sqrt (pow (* n (* PI 2)) (- (/ k 2)))) (/ (sqrt (* 2 n)) (sqrt (sqrt k)))) 1537029883.952 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* n (* PI 2)) (- (/ k 2)))) (/ (sqrt (* 2 n)) (sqrt (sqrt k)))) (/ (sqrt PI) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1537029883.952 * [enter]simplify: Simplifying (/ (sqrt PI) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537029883.954 * * [misc]simplify: iters left: 6 (15 enodes) 1537029883.959 * * [misc]simplify: iters left: 5 (23 enodes) 1537029883.968 * * [misc]simplify: iters left: 4 (32 enodes) 1537029883.977 * * [misc]simplify: iters left: 3 (35 enodes) 1537029883.990 * [exit]simplify: Simplified to (* (sqrt (pow (* (* PI 2) n) (/ (- k) 2))) (/ (sqrt PI) (sqrt (sqrt k)))) 1537029883.990 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* 2 n)) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) (* (sqrt (pow (* (* PI 2) n) (/ (- k) 2))) (/ (sqrt PI) (sqrt (sqrt k)))))) 1537029883.990 * * * * [misc]progress: [ 43 / 158 ] simplifiying candidate # 1537029883.990 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) (/ (sqrt (sqrt k)) 1)) 1537029883.991 * * [misc]simplify: iters left: 6 (10 enodes) 1537029883.995 * * [misc]simplify: iters left: 5 (15 enodes) 1537029884.001 * * [misc]simplify: iters left: 4 (22 enodes) 1537029884.007 * * [misc]simplify: iters left: 3 (26 enodes) 1537029884.011 * [exit]simplify: Simplified to (/ (sqrt (* 2 n)) (sqrt (sqrt k))) 1537029884.011 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt (sqrt k))) (/ (sqrt PI) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))))) 1537029884.011 * [enter]simplify: Simplifying (/ (sqrt PI) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))) 1537029884.012 * * [misc]simplify: iters left: 6 (14 enodes) 1537029884.015 * * [misc]simplify: iters left: 5 (22 enodes) 1537029884.019 * * [misc]simplify: iters left: 4 (31 enodes) 1537029884.024 * * [misc]simplify: iters left: 3 (34 enodes) 1537029884.031 * [exit]simplify: Simplified to (* (pow (* (* n 2) PI) (- (/ k 2))) (/ (sqrt PI) (sqrt (sqrt k)))) 1537029884.032 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt (sqrt k))) (* (pow (* (* n 2) PI) (- (/ k 2))) (/ (sqrt PI) (sqrt (sqrt k)))))) 1537029884.032 * * * * [misc]progress: [ 44 / 158 ] simplifiying candidate # 1537029884.032 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) (/ 1 (pow PI (- (/ k 2))))) 1537029884.032 * * [misc]simplify: iters left: 6 (12 enodes) 1537029884.035 * * [misc]simplify: iters left: 5 (19 enodes) 1537029884.041 * * [misc]simplify: iters left: 4 (22 enodes) 1537029884.048 * * [misc]simplify: iters left: 3 (32 enodes) 1537029884.053 * * [misc]simplify: iters left: 2 (34 enodes) 1537029884.057 * * [misc]simplify: iters left: 1 (39 enodes) 1537029884.063 * [exit]simplify: Simplified to (* (pow PI (- (/ k 2))) (sqrt (* 2 n))) 1537029884.063 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow PI (- (/ k 2))) (sqrt (* 2 n))) (/ (sqrt PI) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1537029884.063 * [enter]simplify: Simplifying (/ (sqrt PI) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1537029884.064 * * [misc]simplify: iters left: 6 (12 enodes) 1537029884.066 * * [misc]simplify: iters left: 5 (17 enodes) 1537029884.069 * * [misc]simplify: iters left: 4 (20 enodes) 1537029884.072 * * [misc]simplify: iters left: 3 (22 enodes) 1537029884.076 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1537029884.076 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- (/ k 2))) (sqrt (* 2 n))) (* (/ (sqrt PI) (sqrt k)) (pow (* n 2) (- (/ k 2)))))) 1537029884.076 * * * * [misc]progress: [ 45 / 158 ] simplifiying candidate # 1537029884.076 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) (/ 1 (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))) 1537029884.077 * * [misc]simplify: iters left: 6 (16 enodes) 1537029884.080 * * [misc]simplify: iters left: 5 (27 enodes) 1537029884.086 * * [misc]simplify: iters left: 4 (38 enodes) 1537029884.095 * * [misc]simplify: iters left: 3 (53 enodes) 1537029884.105 * * [misc]simplify: iters left: 2 (62 enodes) 1537029884.113 * * [misc]simplify: iters left: 1 (72 enodes) 1537029884.136 * [exit]simplify: Simplified to (* (* (sqrt (* 2 n)) (cbrt (pow (* 2 (* PI n)) (- (/ k 2))))) (cbrt (pow (* 2 (* PI n)) (- (/ k 2))))) 1537029884.136 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt (* 2 n)) (cbrt (pow (* 2 (* PI n)) (- (/ k 2))))) (cbrt (pow (* 2 (* PI n)) (- (/ k 2))))) (/ (sqrt PI) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1537029884.137 * [enter]simplify: Simplifying (/ (sqrt PI) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537029884.138 * * [misc]simplify: iters left: 6 (14 enodes) 1537029884.145 * * [misc]simplify: iters left: 5 (22 enodes) 1537029884.153 * * [misc]simplify: iters left: 4 (31 enodes) 1537029884.163 * * [misc]simplify: iters left: 3 (34 enodes) 1537029884.175 * [exit]simplify: Simplified to (* (cbrt (pow (* n (* 2 PI)) (- (/ k 2)))) (/ (sqrt PI) (sqrt k))) 1537029884.176 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (* 2 n)) (cbrt (pow (* 2 (* PI n)) (- (/ k 2))))) (cbrt (pow (* 2 (* PI n)) (- (/ k 2))))) (* (cbrt (pow (* n (* 2 PI)) (- (/ k 2)))) (/ (sqrt PI) (sqrt k))))) 1537029884.176 * * * * [misc]progress: [ 46 / 158 ] simplifiying candidate # 1537029884.176 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) (/ 1 (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537029884.177 * * [misc]simplify: iters left: 6 (15 enodes) 1537029884.182 * * [misc]simplify: iters left: 5 (24 enodes) 1537029884.187 * * [misc]simplify: iters left: 4 (33 enodes) 1537029884.194 * * [misc]simplify: iters left: 3 (45 enodes) 1537029884.202 * * [misc]simplify: iters left: 2 (47 enodes) 1537029884.207 * * [misc]simplify: iters left: 1 (52 enodes) 1537029884.218 * [exit]simplify: Simplified to (* (sqrt (pow (* (* PI 2) n) (- (/ k 2)))) (sqrt (* 2 n))) 1537029884.218 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* (* PI 2) n) (- (/ k 2)))) (sqrt (* 2 n))) (/ (sqrt PI) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1537029884.218 * [enter]simplify: Simplifying (/ (sqrt PI) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537029884.219 * * [misc]simplify: iters left: 6 (14 enodes) 1537029884.225 * * [misc]simplify: iters left: 5 (22 enodes) 1537029884.233 * * [misc]simplify: iters left: 4 (31 enodes) 1537029884.243 * * [misc]simplify: iters left: 3 (34 enodes) 1537029884.252 * [exit]simplify: Simplified to (* (sqrt (pow (* n (* 2 PI)) (- (/ k 2)))) (/ (sqrt PI) (sqrt k))) 1537029884.252 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* (* PI 2) n) (- (/ k 2)))) (sqrt (* 2 n))) (* (sqrt (pow (* n (* 2 PI)) (- (/ k 2)))) (/ (sqrt PI) (sqrt k))))) 1537029884.252 * * * * [misc]progress: [ 47 / 158 ] simplifiying candidate # 1537029884.252 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) (/ 1 1)) 1537029884.252 * * [misc]simplify: iters left: 5 (7 enodes) 1537029884.254 * * [misc]simplify: iters left: 4 (10 enodes) 1537029884.255 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1537029884.255 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* 2 n)) (/ (sqrt PI) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1537029884.255 * [enter]simplify: Simplifying (/ (sqrt PI) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) 1537029884.256 * * [misc]simplify: iters left: 6 (13 enodes) 1537029884.259 * * [misc]simplify: iters left: 5 (21 enodes) 1537029884.263 * * [misc]simplify: iters left: 4 (30 enodes) 1537029884.268 * * [misc]simplify: iters left: 3 (34 enodes) 1537029884.274 * [exit]simplify: Simplified to (* (pow (* (* n PI) 2) (- (/ k 2))) (/ (sqrt PI) (sqrt k))) 1537029884.274 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* 2 n)) (* (pow (* (* n PI) 2) (- (/ k 2))) (/ (sqrt PI) (sqrt k))))) 1537029884.274 * * * * [misc]progress: [ 48 / 158 ] simplifiying candidate # 1537029884.274 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) 1) 1537029884.274 * * [misc]simplify: iters left: 5 (6 enodes) 1537029884.276 * * [misc]simplify: iters left: 4 (9 enodes) 1537029884.278 * * [misc]simplify: iters left: 3 (11 enodes) 1537029884.279 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1537029884.279 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* 2 n)) (/ (sqrt PI) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1537029884.279 * [enter]simplify: Simplifying (/ (sqrt PI) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) 1537029884.282 * * [misc]simplify: iters left: 6 (13 enodes) 1537029884.285 * * [misc]simplify: iters left: 5 (21 enodes) 1537029884.289 * * [misc]simplify: iters left: 4 (30 enodes) 1537029884.294 * * [misc]simplify: iters left: 3 (34 enodes) 1537029884.300 * [exit]simplify: Simplified to (* (pow (* (* n PI) 2) (- (/ k 2))) (/ (sqrt PI) (sqrt k))) 1537029884.300 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* 2 n)) (* (pow (* (* n PI) 2) (- (/ k 2))) (/ (sqrt PI) (sqrt k))))) 1537029884.300 * * * * [misc]progress: [ 49 / 158 ] simplifiying candidate # 1537029884.300 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) (sqrt k)) 1537029884.301 * * [misc]simplify: iters left: 5 (7 enodes) 1537029884.302 * * [misc]simplify: iters left: 4 (8 enodes) 1537029884.303 * [exit]simplify: Simplified to (/ (sqrt (* 2 n)) (sqrt k)) 1537029884.303 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (/ 1 (pow (* PI (* n 2)) (- (/ k 2))))))) 1537029884.303 * [enter]simplify: Simplifying (/ (sqrt PI) (/ 1 (pow (* PI (* n 2)) (- (/ k 2))))) 1537029884.304 * * [misc]simplify: iters left: 6 (13 enodes) 1537029884.308 * * [misc]simplify: iters left: 5 (23 enodes) 1537029884.312 * * [misc]simplify: iters left: 4 (32 enodes) 1537029884.321 * * [misc]simplify: iters left: 3 (44 enodes) 1537029884.333 * * [misc]simplify: iters left: 2 (46 enodes) 1537029884.343 * * [misc]simplify: iters left: 1 (51 enodes) 1537029884.358 * [exit]simplify: Simplified to (* (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt PI)) 1537029884.358 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (* (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt PI)))) 1537029884.358 * * * * [misc]progress: [ 50 / 158 ] simplifiying candidate # 1537029884.359 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) (/ (sqrt k) 1)) 1537029884.359 * * [misc]simplify: iters left: 5 (9 enodes) 1537029884.363 * * [misc]simplify: iters left: 4 (14 enodes) 1537029884.370 * * [misc]simplify: iters left: 3 (21 enodes) 1537029884.376 * * [misc]simplify: iters left: 2 (25 enodes) 1537029884.383 * [exit]simplify: Simplified to (/ (sqrt (* 2 n)) (sqrt k)) 1537029884.383 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))))) 1537029884.383 * [enter]simplify: Simplifying (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))) 1537029884.387 * * [misc]simplify: iters left: 6 (10 enodes) 1537029884.391 * * [misc]simplify: iters left: 5 (14 enodes) 1537029884.397 * * [misc]simplify: iters left: 4 (20 enodes) 1537029884.403 * * [misc]simplify: iters left: 3 (21 enodes) 1537029884.411 * [exit]simplify: Simplified to (/ (sqrt PI) (pow (* (* n 2) PI) (/ k 2))) 1537029884.411 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (pow (* (* n 2) PI) (/ k 2))))) 1537029884.411 * * * * [misc]progress: [ 51 / 158 ] simplifiying candidate # 1537029884.411 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) (/ (sqrt k) (pow (* PI (* n 2)) 0))) 1537029884.412 * * [misc]simplify: iters left: 6 (13 enodes) 1537029884.418 * * [misc]simplify: iters left: 5 (19 enodes) 1537029884.425 * * [misc]simplify: iters left: 4 (26 enodes) 1537029884.435 * * [misc]simplify: iters left: 3 (33 enodes) 1537029884.443 * * [misc]simplify: iters left: 2 (36 enodes) 1537029884.452 * * [misc]simplify: iters left: 1 (40 enodes) 1537029884.460 * [exit]simplify: Simplified to (/ (sqrt (* 2 n)) (sqrt k)) 1537029884.460 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))))) 1537029884.460 * [enter]simplify: Simplifying (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))) 1537029884.461 * * [misc]simplify: iters left: 6 (10 enodes) 1537029884.463 * * [misc]simplify: iters left: 5 (14 enodes) 1537029884.466 * * [misc]simplify: iters left: 4 (20 enodes) 1537029884.470 * * [misc]simplify: iters left: 3 (21 enodes) 1537029884.473 * [exit]simplify: Simplified to (/ (sqrt PI) (pow (* (* n 2) PI) (/ k 2))) 1537029884.473 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (pow (* (* n 2) PI) (/ k 2))))) 1537029884.473 * * * * [misc]progress: [ 52 / 158 ] simplifiying candidate # 1537029884.473 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1537029884.474 * * [misc]simplify: iters left: 6 (18 enodes) 1537029884.479 * * [misc]simplify: iters left: 5 (27 enodes) 1537029884.483 * * [misc]simplify: iters left: 4 (31 enodes) 1537029884.489 * * [misc]simplify: iters left: 3 (32 enodes) 1537029884.496 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (* n (* PI 2)))) (cbrt (/ (sqrt k) (pow (* n (* PI 2)) (- (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n (* PI 2)) (- (/ k 2)))))) 1537029884.496 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (sqrt (* n (* PI 2)))) (cbrt (/ (sqrt k) (pow (* n (* PI 2)) (- (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n (* PI 2)) (- (/ k 2)))))) (/ (sqrt (sqrt (* (* 2 n) PI))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))))) 1537029884.496 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1537029884.497 * * [misc]simplify: iters left: 6 (17 enodes) 1537029884.501 * * [misc]simplify: iters left: 5 (24 enodes) 1537029884.506 * * [misc]simplify: iters left: 4 (28 enodes) 1537029884.515 * * [misc]simplify: iters left: 3 (29 enodes) 1537029884.525 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* PI 2) n))) (cbrt (/ (sqrt k) (pow (* (* PI 2) n) (- (/ k 2)))))) 1537029884.525 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (sqrt (* (* 2 n) PI))) (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) (/ (sqrt (sqrt (* (* PI 2) n))) (cbrt (/ (sqrt k) (pow (* (* PI 2) n) (- (/ k 2)))))))) 1537029884.525 * * * * [misc]progress: [ 53 / 158 ] simplifiying candidate # 1537029884.526 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1537029884.527 * * [misc]simplify: iters left: 6 (17 enodes) 1537029884.531 * * [misc]simplify: iters left: 5 (24 enodes) 1537029884.535 * * [misc]simplify: iters left: 4 (28 enodes) 1537029884.540 * * [misc]simplify: iters left: 3 (29 enodes) 1537029884.545 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* PI 2) n))) (sqrt (/ (sqrt k) (pow (* (* PI 2) n) (- (/ k 2)))))) 1537029884.545 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (sqrt (* (* PI 2) n))) (sqrt (/ (sqrt k) (pow (* (* PI 2) n) (- (/ k 2)))))) (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))))) 1537029884.545 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1537029884.546 * * [misc]simplify: iters left: 6 (17 enodes) 1537029884.549 * * [misc]simplify: iters left: 5 (24 enodes) 1537029884.553 * * [misc]simplify: iters left: 4 (28 enodes) 1537029884.558 * * [misc]simplify: iters left: 3 (29 enodes) 1537029884.563 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* PI 2) n))) (sqrt (/ (sqrt k) (pow (* (* PI 2) n) (- (/ k 2)))))) 1537029884.563 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) (/ (sqrt (sqrt (* (* PI 2) n))) (sqrt (/ (sqrt k) (pow (* (* PI 2) n) (- (/ k 2)))))))) 1537029884.563 * * * * [misc]progress: [ 54 / 158 ] simplifiying candidate # 1537029884.563 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- (/ k 2))))) 1537029884.565 * * [misc]simplify: iters left: 6 (16 enodes) 1537029884.569 * * [misc]simplify: iters left: 5 (26 enodes) 1537029884.574 * * [misc]simplify: iters left: 4 (39 enodes) 1537029884.583 * * [misc]simplify: iters left: 3 (52 enodes) 1537029884.599 * * [misc]simplify: iters left: 2 (57 enodes) 1537029884.615 * * [misc]simplify: iters left: 1 (64 enodes) 1537029884.637 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- (/ k 2))))) 1537029884.637 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- (/ k 2))))) (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1537029884.637 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1537029884.639 * * [misc]simplify: iters left: 6 (16 enodes) 1537029884.646 * * [misc]simplify: iters left: 5 (23 enodes) 1537029884.654 * * [misc]simplify: iters left: 4 (32 enodes) 1537029884.665 * * [misc]simplify: iters left: 3 (35 enodes) 1537029884.674 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* n (* PI 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- (/ k 2))))) 1537029884.674 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- (/ k 2))))) (/ (sqrt (sqrt (* n (* PI 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- (/ k 2))))))) 1537029884.674 * * * * [misc]progress: [ 55 / 158 ] simplifiying candidate # 1537029884.674 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))) 1537029884.675 * * [misc]simplify: iters left: 6 (20 enodes) 1537029884.680 * * [misc]simplify: iters left: 5 (35 enodes) 1537029884.688 * * [misc]simplify: iters left: 4 (57 enodes) 1537029884.700 * * [misc]simplify: iters left: 3 (84 enodes) 1537029884.721 * * [misc]simplify: iters left: 2 (116 enodes) 1537029884.742 * * [misc]simplify: iters left: 1 (139 enodes) 1537029884.796 * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (* 2 (* PI n)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow (* 2 (* PI n)) (- (/ k 2)))) (cbrt (pow (* 2 (* PI n)) (- (/ k 2)))))) 1537029884.796 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (sqrt (* 2 (* PI n)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow (* 2 (* PI n)) (- (/ k 2)))) (cbrt (pow (* 2 (* PI n)) (- (/ k 2)))))) (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1537029884.796 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537029884.798 * * [misc]simplify: iters left: 6 (18 enodes) 1537029884.801 * * [misc]simplify: iters left: 5 (27 enodes) 1537029884.806 * * [misc]simplify: iters left: 4 (34 enodes) 1537029884.811 * * [misc]simplify: iters left: 3 (37 enodes) 1537029884.821 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* n (* PI 2)) (/ (- k) 2))) (sqrt (sqrt (* n (* PI 2))))) (cbrt (sqrt k))) 1537029884.821 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))) (/ (* (cbrt (pow (* n (* PI 2)) (/ (- k) 2))) (sqrt (sqrt (* n (* PI 2))))) (cbrt (sqrt k))))) 1537029884.821 * * * * [misc]progress: [ 56 / 158 ] simplifiying candidate # 1537029884.822 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537029884.824 * * [misc]simplify: iters left: 6 (19 enodes) 1537029884.834 * * [misc]simplify: iters left: 5 (30 enodes) 1537029884.845 * * [misc]simplify: iters left: 4 (41 enodes) 1537029884.860 * * [misc]simplify: iters left: 3 (54 enodes) 1537029884.876 * * [misc]simplify: iters left: 2 (59 enodes) 1537029884.893 * * [misc]simplify: iters left: 1 (66 enodes) 1537029884.920 * [exit]simplify: Simplified to (* (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (sqrt (sqrt (* (* 2 n) PI))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1537029884.920 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (sqrt (sqrt (* (* 2 n) PI))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1537029884.921 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537029884.923 * * [misc]simplify: iters left: 6 (18 enodes) 1537029884.930 * * [misc]simplify: iters left: 5 (27 enodes) 1537029884.940 * * [misc]simplify: iters left: 4 (34 enodes) 1537029884.950 * * [misc]simplify: iters left: 3 (37 enodes) 1537029884.966 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* n (* PI 2)) (/ (- k) 2))) (sqrt (sqrt (* n (* PI 2))))) (cbrt (sqrt k))) 1537029884.966 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) (/ (* (sqrt (pow (* n (* PI 2)) (/ (- k) 2))) (sqrt (sqrt (* n (* PI 2))))) (cbrt (sqrt k))))) 1537029884.966 * * * * [misc]progress: [ 57 / 158 ] simplifiying candidate # 1537029884.967 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1537029884.968 * * [misc]simplify: iters left: 6 (14 enodes) 1537029884.974 * * [misc]simplify: iters left: 5 (24 enodes) 1537029884.985 * * [misc]simplify: iters left: 4 (41 enodes) 1537029884.998 * * [misc]simplify: iters left: 3 (48 enodes) 1537029885.005 * * [misc]simplify: iters left: 2 (69 enodes) 1537029885.020 * * [misc]simplify: iters left: 1 (90 enodes) 1537029885.035 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* PI 2) n))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537029885.035 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (sqrt (* (* PI 2) n))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))))) 1537029885.035 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))) 1537029885.036 * * [misc]simplify: iters left: 6 (17 enodes) 1537029885.044 * * [misc]simplify: iters left: 5 (26 enodes) 1537029885.055 * * [misc]simplify: iters left: 4 (33 enodes) 1537029885.066 * * [misc]simplify: iters left: 3 (36 enodes) 1537029885.078 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* PI 2) n))) (/ (cbrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))) 1537029885.078 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (sqrt (* (* PI 2) n))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (sqrt (* (* PI 2) n))) (/ (cbrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))))) 1537029885.078 * * * * [misc]progress: [ 58 / 158 ] simplifiying candidate # 1537029885.078 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1537029885.080 * * [misc]simplify: iters left: 6 (15 enodes) 1537029885.086 * * [misc]simplify: iters left: 5 (23 enodes) 1537029885.095 * * [misc]simplify: iters left: 4 (32 enodes) 1537029885.105 * * [misc]simplify: iters left: 3 (35 enodes) 1537029885.118 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* 2 (* PI n)))) (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2)))) 1537029885.118 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (sqrt (* 2 (* PI n)))) (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2)))) (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1537029885.118 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1537029885.120 * * [misc]simplify: iters left: 6 (16 enodes) 1537029885.126 * * [misc]simplify: iters left: 5 (23 enodes) 1537029885.135 * * [misc]simplify: iters left: 4 (32 enodes) 1537029885.145 * * [misc]simplify: iters left: 3 (35 enodes) 1537029885.158 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* n (* PI 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- (/ k 2))))) 1537029885.158 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) (/ (sqrt (sqrt (* n (* PI 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- (/ k 2))))))) 1537029885.158 * * * * [misc]progress: [ 59 / 158 ] simplifiying candidate # 1537029885.158 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))) 1537029885.160 * * [misc]simplify: iters left: 6 (19 enodes) 1537029885.169 * * [misc]simplify: iters left: 5 (30 enodes) 1537029885.181 * * [misc]simplify: iters left: 4 (39 enodes) 1537029885.195 * * [misc]simplify: iters left: 3 (49 enodes) 1537029885.211 * * [misc]simplify: iters left: 2 (57 enodes) 1537029885.226 * * [misc]simplify: iters left: 1 (59 enodes) 1537029885.255 * [exit]simplify: Simplified to (* (* (cbrt (pow (* (* PI 2) n) (- (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- (/ k 2))))) (/ (sqrt (sqrt (* (* PI 2) n))) (sqrt (sqrt k)))) 1537029885.255 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow (* (* PI 2) n) (- (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- (/ k 2))))) (/ (sqrt (sqrt (* (* PI 2) n))) (sqrt (sqrt k)))) (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1537029885.255 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537029885.258 * * [misc]simplify: iters left: 6 (18 enodes) 1537029885.265 * * [misc]simplify: iters left: 5 (27 enodes) 1537029885.273 * * [misc]simplify: iters left: 4 (34 enodes) 1537029885.278 * * [misc]simplify: iters left: 3 (37 enodes) 1537029885.285 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* n (* PI 2)) (/ (- k) 2))) (sqrt (sqrt (* n (* PI 2))))) (sqrt (sqrt k))) 1537029885.285 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))) (/ (* (cbrt (pow (* n (* PI 2)) (/ (- k) 2))) (sqrt (sqrt (* n (* PI 2))))) (sqrt (sqrt k))))) 1537029885.285 * * * * [misc]progress: [ 60 / 158 ] simplifiying candidate # 1537029885.286 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537029885.288 * * [misc]simplify: iters left: 6 (18 enodes) 1537029885.292 * * [misc]simplify: iters left: 5 (27 enodes) 1537029885.297 * * [misc]simplify: iters left: 4 (34 enodes) 1537029885.303 * * [misc]simplify: iters left: 3 (37 enodes) 1537029885.310 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* n (* PI 2)) (/ (- k) 2))) (sqrt (sqrt (* n (* PI 2))))) (sqrt (sqrt k))) 1537029885.310 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (pow (* n (* PI 2)) (/ (- k) 2))) (sqrt (sqrt (* n (* PI 2))))) (sqrt (sqrt k))) (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1537029885.310 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537029885.311 * * [misc]simplify: iters left: 6 (18 enodes) 1537029885.315 * * [misc]simplify: iters left: 5 (27 enodes) 1537029885.320 * * [misc]simplify: iters left: 4 (34 enodes) 1537029885.327 * * [misc]simplify: iters left: 3 (37 enodes) 1537029885.340 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* n (* PI 2)) (/ (- k) 2))) (sqrt (sqrt (* n (* PI 2))))) (sqrt (sqrt k))) 1537029885.340 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) (/ (* (sqrt (pow (* n (* PI 2)) (/ (- k) 2))) (sqrt (sqrt (* n (* PI 2))))) (sqrt (sqrt k))))) 1537029885.340 * * * * [misc]progress: [ 61 / 158 ] simplifiying candidate # 1537029885.341 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) 1)) 1537029885.342 * * [misc]simplify: iters left: 6 (13 enodes) 1537029885.347 * * [misc]simplify: iters left: 5 (21 enodes) 1537029885.356 * * [misc]simplify: iters left: 4 (34 enodes) 1537029885.366 * * [misc]simplify: iters left: 3 (39 enodes) 1537029885.376 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* PI n) 2))) (sqrt (sqrt k))) 1537029885.376 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (sqrt (* (* PI n) 2))) (sqrt (sqrt k))) (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))))) 1537029885.376 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))) 1537029885.380 * * [misc]simplify: iters left: 6 (17 enodes) 1537029885.387 * * [misc]simplify: iters left: 5 (26 enodes) 1537029885.396 * * [misc]simplify: iters left: 4 (33 enodes) 1537029885.406 * * [misc]simplify: iters left: 3 (36 enodes) 1537029885.418 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* PI 2) n))) (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))) 1537029885.418 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (sqrt (* (* PI n) 2))) (sqrt (sqrt k))) (/ (sqrt (sqrt (* (* PI 2) n))) (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))))) 1537029885.418 * * * * [misc]progress: [ 62 / 158 ] simplifiying candidate # 1537029885.418 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ 1 (pow PI (- (/ k 2))))) 1537029885.420 * * [misc]simplify: iters left: 6 (14 enodes) 1537029885.425 * * [misc]simplify: iters left: 5 (24 enodes) 1537029885.434 * * [misc]simplify: iters left: 4 (33 enodes) 1537029885.443 * * [misc]simplify: iters left: 3 (44 enodes) 1537029885.449 * * [misc]simplify: iters left: 2 (46 enodes) 1537029885.455 * * [misc]simplify: iters left: 1 (51 enodes) 1537029885.463 * [exit]simplify: Simplified to (* (pow PI (- (/ k 2))) (sqrt (sqrt (* (* PI 2) n)))) 1537029885.463 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow PI (- (/ k 2))) (sqrt (sqrt (* (* PI 2) n)))) (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1537029885.463 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1537029885.464 * * [misc]simplify: iters left: 6 (15 enodes) 1537029885.468 * * [misc]simplify: iters left: 5 (22 enodes) 1537029885.476 * * [misc]simplify: iters left: 4 (31 enodes) 1537029885.489 * * [misc]simplify: iters left: 3 (34 enodes) 1537029885.501 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* PI 2) n))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1537029885.501 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- (/ k 2))) (sqrt (sqrt (* (* PI 2) n)))) (/ (sqrt (sqrt (* (* PI 2) n))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))))) 1537029885.501 * * * * [misc]progress: [ 63 / 158 ] simplifiying candidate # 1537029885.502 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ 1 (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))) 1537029885.504 * * [misc]simplify: iters left: 6 (18 enodes) 1537029885.513 * * [misc]simplify: iters left: 5 (31 enodes) 1537029885.523 * * [misc]simplify: iters left: 4 (40 enodes) 1537029885.538 * * [misc]simplify: iters left: 3 (55 enodes) 1537029885.555 * * [misc]simplify: iters left: 2 (64 enodes) 1537029885.572 * * [misc]simplify: iters left: 1 (74 enodes) 1537029885.602 * [exit]simplify: Simplified to (* (sqrt (sqrt (* (* 2 n) PI))) (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))))) 1537029885.602 * [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 (* (* 2 n) PI))) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1537029885.602 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537029885.606 * * [misc]simplify: iters left: 6 (17 enodes) 1537029885.613 * * [misc]simplify: iters left: 5 (26 enodes) 1537029885.622 * * [misc]simplify: iters left: 4 (33 enodes) 1537029885.632 * * [misc]simplify: iters left: 3 (36 enodes) 1537029885.638 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- (/ k 2)))) (/ (sqrt (sqrt (* (* PI 2) n))) (sqrt k))) 1537029885.638 * [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 (pow (* (* PI 2) n) (- (/ k 2)))) (/ (sqrt (sqrt (* (* PI 2) n))) (sqrt k))))) 1537029885.638 * * * * [misc]progress: [ 64 / 158 ] simplifiying candidate # 1537029885.639 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ 1 (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537029885.640 * * [misc]simplify: iters left: 6 (17 enodes) 1537029885.643 * * [misc]simplify: iters left: 5 (28 enodes) 1537029885.648 * * [misc]simplify: iters left: 4 (35 enodes) 1537029885.658 * * [misc]simplify: iters left: 3 (46 enodes) 1537029885.671 * * [misc]simplify: iters left: 2 (48 enodes) 1537029885.682 * * [misc]simplify: iters left: 1 (53 enodes) 1537029885.693 * [exit]simplify: Simplified to (* (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI)))) 1537029885.693 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI)))) (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1537029885.693 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537029885.694 * * [misc]simplify: iters left: 6 (17 enodes) 1537029885.698 * * [misc]simplify: iters left: 5 (26 enodes) 1537029885.704 * * [misc]simplify: iters left: 4 (33 enodes) 1537029885.709 * * [misc]simplify: iters left: 3 (36 enodes) 1537029885.715 * [exit]simplify: Simplified to (* (sqrt (pow (* (* PI 2) n) (- (/ k 2)))) (/ (sqrt (sqrt (* (* PI 2) n))) (sqrt k))) 1537029885.716 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI)))) (* (sqrt (pow (* (* PI 2) n) (- (/ k 2)))) (/ (sqrt (sqrt (* (* PI 2) n))) (sqrt k))))) 1537029885.716 * * * * [misc]progress: [ 65 / 158 ] simplifiying candidate # 1537029885.716 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ 1 1)) 1537029885.716 * * [misc]simplify: iters left: 6 (10 enodes) 1537029885.719 * * [misc]simplify: iters left: 5 (16 enodes) 1537029885.721 * * [misc]simplify: iters left: 4 (22 enodes) 1537029885.726 * * [misc]simplify: iters left: 3 (26 enodes) 1537029885.729 * [exit]simplify: Simplified to (sqrt (sqrt (* (* PI n) 2))) 1537029885.729 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (sqrt (* (* PI n) 2))) (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1537029885.729 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) 1537029885.730 * * [misc]simplify: iters left: 6 (16 enodes) 1537029885.734 * * [misc]simplify: iters left: 5 (25 enodes) 1537029885.739 * * [misc]simplify: iters left: 4 (32 enodes) 1537029885.749 * * [misc]simplify: iters left: 3 (35 enodes) 1537029885.761 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* n (* PI 2)))) (/ (sqrt k) (pow (* n (* PI 2)) (- (/ k 2))))) 1537029885.761 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (sqrt (* (* PI n) 2))) (/ (sqrt (sqrt (* n (* PI 2)))) (/ (sqrt k) (pow (* n (* PI 2)) (- (/ k 2))))))) 1537029885.761 * * * * [misc]progress: [ 66 / 158 ] simplifiying candidate # 1537029885.761 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) 1) 1537029885.762 * * [misc]simplify: iters left: 6 (9 enodes) 1537029885.766 * * [misc]simplify: iters left: 5 (15 enodes) 1537029885.772 * * [misc]simplify: iters left: 4 (23 enodes) 1537029885.779 * * [misc]simplify: iters left: 3 (24 enodes) 1537029885.786 * [exit]simplify: Simplified to (sqrt (sqrt (* (* PI n) 2))) 1537029885.786 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (sqrt (* (* PI n) 2))) (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1537029885.786 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) 1537029885.788 * * [misc]simplify: iters left: 6 (16 enodes) 1537029885.797 * * [misc]simplify: iters left: 5 (25 enodes) 1537029885.806 * * [misc]simplify: iters left: 4 (32 enodes) 1537029885.816 * * [misc]simplify: iters left: 3 (35 enodes) 1537029885.828 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* n (* PI 2)))) (/ (sqrt k) (pow (* n (* PI 2)) (- (/ k 2))))) 1537029885.828 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (sqrt (* (* PI n) 2))) (/ (sqrt (sqrt (* n (* PI 2)))) (/ (sqrt k) (pow (* n (* PI 2)) (- (/ k 2))))))) 1537029885.828 * * * * [misc]progress: [ 67 / 158 ] simplifiying candidate # 1537029885.828 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt k)) 1537029885.829 * * [misc]simplify: iters left: 6 (10 enodes) 1537029885.834 * * [misc]simplify: iters left: 5 (14 enodes) 1537029885.839 * * [misc]simplify: iters left: 4 (20 enodes) 1537029885.846 * * [misc]simplify: iters left: 3 (22 enodes) 1537029885.853 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* PI 2) n))) (sqrt k)) 1537029885.853 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (sqrt (* (* PI 2) n))) (sqrt k)) (/ (sqrt (sqrt (* (* 2 n) PI))) (/ 1 (pow (* PI (* n 2)) (- (/ k 2))))))) 1537029885.854 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ 1 (pow (* PI (* n 2)) (- (/ k 2))))) 1537029885.855 * * [misc]simplify: iters left: 6 (16 enodes) 1537029885.863 * * [misc]simplify: iters left: 5 (27 enodes) 1537029885.872 * * [misc]simplify: iters left: 4 (34 enodes) 1537029885.884 * * [misc]simplify: iters left: 3 (45 enodes) 1537029885.897 * * [misc]simplify: iters left: 2 (47 enodes) 1537029885.908 * * [misc]simplify: iters left: 1 (52 enodes) 1537029885.924 * [exit]simplify: Simplified to (* (pow (* n (* PI 2)) (- (/ k 2))) (sqrt (sqrt (* n (* PI 2))))) 1537029885.924 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt k)) (* (pow (* n (* PI 2)) (- (/ k 2))) (sqrt (sqrt (* n (* PI 2))))))) 1537029885.924 * * * * [misc]progress: [ 68 / 158 ] simplifiying candidate # 1537029885.925 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) 1)) 1537029885.928 * * [misc]simplify: iters left: 6 (12 enodes) 1537029885.933 * * [misc]simplify: iters left: 5 (20 enodes) 1537029885.939 * * [misc]simplify: iters left: 4 (33 enodes) 1537029885.944 * * [misc]simplify: iters left: 3 (38 enodes) 1537029885.949 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* 2 (* PI n)))) (sqrt k)) 1537029885.949 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (sqrt (* 2 (* PI n)))) (sqrt k)) (/ (sqrt (sqrt (* (* 2 n) PI))) (pow (* PI (* n 2)) (/ k 2))))) 1537029885.950 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (pow (* PI (* n 2)) (/ k 2))) 1537029885.950 * * [misc]simplify: iters left: 6 (13 enodes) 1537029885.953 * * [misc]simplify: iters left: 5 (18 enodes) 1537029885.956 * * [misc]simplify: iters left: 4 (22 enodes) 1537029885.960 * * [misc]simplify: iters left: 3 (24 enodes) 1537029885.964 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (pow (* (* 2 n) PI) (/ k 2))) 1537029885.964 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (sqrt (* 2 (* PI n)))) (sqrt k)) (/ (sqrt (sqrt (* (* 2 n) PI))) (pow (* (* 2 n) PI) (/ k 2))))) 1537029885.964 * * * * [misc]progress: [ 69 / 158 ] simplifiying candidate # 1537029885.965 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (pow (* PI (* n 2)) 0))) 1537029885.966 * * [misc]simplify: iters left: 6 (15 enodes) 1537029885.973 * * [misc]simplify: iters left: 5 (23 enodes) 1537029885.981 * * [misc]simplify: iters left: 4 (28 enodes) 1537029885.991 * * [misc]simplify: iters left: 3 (35 enodes) 1537029885.999 * * [misc]simplify: iters left: 2 (38 enodes) 1537029886.008 * * [misc]simplify: iters left: 1 (42 enodes) 1537029886.018 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* PI 2) n))) (sqrt k)) 1537029886.018 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (sqrt (* (* PI 2) n))) (sqrt k)) (/ (sqrt (sqrt (* (* 2 n) PI))) (pow (* PI (* n 2)) (/ k 2))))) 1537029886.018 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (pow (* PI (* n 2)) (/ k 2))) 1537029886.020 * * [misc]simplify: iters left: 6 (13 enodes) 1537029886.025 * * [misc]simplify: iters left: 5 (18 enodes) 1537029886.033 * * [misc]simplify: iters left: 4 (22 enodes) 1537029886.036 * * [misc]simplify: iters left: 3 (24 enodes) 1537029886.040 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (pow (* (* 2 n) PI) (/ k 2))) 1537029886.041 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (sqrt (* (* PI 2) n))) (sqrt k)) (/ (sqrt (sqrt (* (* 2 n) PI))) (pow (* (* 2 n) PI) (/ k 2))))) 1537029886.041 * * * * [misc]progress: [ 70 / 158 ] simplifiying candidate # 1537029886.041 * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1537029886.042 * * [misc]simplify: iters left: 6 (15 enodes) 1537029886.045 * * [misc]simplify: iters left: 5 (25 enodes) 1537029886.049 * * [misc]simplify: iters left: 4 (31 enodes) 1537029886.055 * * [misc]simplify: iters left: 3 (33 enodes) 1537029886.061 * [exit]simplify: Simplified to (/ 1 (* (cbrt (/ (sqrt k) (pow (* 2 (* PI n)) (/ (- k) 2)))) (cbrt (/ (sqrt k) (pow (* 2 (* PI n)) (/ (- k) 2)))))) 1537029886.061 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* 2 (* PI n)) (/ (- k) 2)))) (cbrt (/ (sqrt k) (pow (* 2 (* PI n)) (/ (- k) 2)))))) (/ (sqrt (* (* 2 n) PI)) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))))) 1537029886.061 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1537029886.062 * * [misc]simplify: iters left: 6 (16 enodes) 1537029886.065 * * [misc]simplify: iters left: 5 (23 enodes) 1537029886.071 * * [misc]simplify: iters left: 4 (27 enodes) 1537029886.079 * * [misc]simplify: iters left: 3 (28 enodes) 1537029886.084 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (cbrt (/ (sqrt k) (pow (* (* 2 n) PI) (- (/ k 2)))))) 1537029886.084 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) (/ (sqrt (* (* 2 n) PI)) (cbrt (/ (sqrt k) (pow (* (* 2 n) PI) (- (/ k 2)))))))) 1537029886.084 * * * * [misc]progress: [ 71 / 158 ] simplifiying candidate # 1537029886.085 * [enter]simplify: Simplifying (/ 1 (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1537029886.085 * * [misc]simplify: iters left: 6 (14 enodes) 1537029886.088 * * [misc]simplify: iters left: 5 (22 enodes) 1537029886.092 * * [misc]simplify: iters left: 4 (28 enodes) 1537029886.096 * * [misc]simplify: iters left: 3 (29 enodes) 1537029886.101 * [exit]simplify: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- k) 2))))) 1537029886.101 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- k) 2))))) (/ (sqrt (* (* 2 n) PI)) (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))))) 1537029886.102 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1537029886.104 * * [misc]simplify: iters left: 6 (16 enodes) 1537029886.108 * * [misc]simplify: iters left: 5 (23 enodes) 1537029886.116 * * [misc]simplify: iters left: 4 (27 enodes) 1537029886.125 * * [misc]simplify: iters left: 3 (28 enodes) 1537029886.135 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (sqrt (/ (sqrt k) (pow (* (* 2 n) PI) (- (/ k 2)))))) 1537029886.135 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) (/ (sqrt (* (* 2 n) PI)) (sqrt (/ (sqrt k) (pow (* (* 2 n) PI) (- (/ k 2)))))))) 1537029886.135 * * * * [misc]progress: [ 72 / 158 ] simplifiying candidate # 1537029886.135 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- (/ k 2))))) 1537029886.137 * * [misc]simplify: iters left: 6 (12 enodes) 1537029886.142 * * [misc]simplify: iters left: 5 (20 enodes) 1537029886.149 * * [misc]simplify: iters left: 4 (27 enodes) 1537029886.161 * * [misc]simplify: iters left: 3 (47 enodes) 1537029886.185 * * [misc]simplify: iters left: 2 (86 enodes) 1537029886.210 * * [misc]simplify: iters left: 1 (175 enodes) 1537029886.314 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537029886.314 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow PI (/ (- k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (* (* 2 n) PI)) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1537029886.314 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1537029886.316 * * [misc]simplify: iters left: 6 (15 enodes) 1537029886.322 * * [misc]simplify: iters left: 5 (22 enodes) 1537029886.331 * * [misc]simplify: iters left: 4 (31 enodes) 1537029886.343 * * [misc]simplify: iters left: 3 (34 enodes) 1537029886.356 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (* (* PI 2) n)) (cbrt (sqrt k)))) 1537029886.356 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow PI (/ (- k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (* (* PI 2) n)) (cbrt (sqrt k)))))) 1537029886.356 * * * * [misc]progress: [ 73 / 158 ] simplifiying candidate # 1537029886.356 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))) 1537029886.358 * * [misc]simplify: iters left: 6 (17 enodes) 1537029886.367 * * [misc]simplify: iters left: 5 (33 enodes) 1537029886.381 * * [misc]simplify: iters left: 4 (57 enodes) 1537029886.395 * * [misc]simplify: iters left: 3 (78 enodes) 1537029886.418 * * [misc]simplify: iters left: 2 (177 enodes) 1537029886.598 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* (* PI n) 2) (/ (- k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* PI n) 2) (/ (- k) 2))) (cbrt (sqrt k)))) 1537029886.598 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* PI n) 2) (/ (- k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* PI n) 2) (/ (- k) 2))) (cbrt (sqrt k)))) (/ (sqrt (* (* 2 n) PI)) (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1537029886.599 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537029886.600 * * [misc]simplify: iters left: 6 (17 enodes) 1537029886.604 * * [misc]simplify: iters left: 5 (26 enodes) 1537029886.609 * * [misc]simplify: iters left: 4 (33 enodes) 1537029886.616 * * [misc]simplify: iters left: 3 (36 enodes) 1537029886.631 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- (/ k 2)))) (/ (sqrt (* (* PI 2) n)) (cbrt (sqrt k)))) 1537029886.631 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow (* (* PI n) 2) (/ (- k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* PI n) 2) (/ (- k) 2))) (cbrt (sqrt k)))) (* (cbrt (pow (* (* PI 2) n) (- (/ k 2)))) (/ (sqrt (* (* PI 2) n)) (cbrt (sqrt k)))))) 1537029886.631 * * * * [misc]progress: [ 74 / 158 ] simplifiying candidate # 1537029886.632 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537029886.633 * * [misc]simplify: iters left: 6 (16 enodes) 1537029886.640 * * [misc]simplify: iters left: 5 (28 enodes) 1537029886.651 * * [misc]simplify: iters left: 4 (41 enodes) 1537029886.666 * * [misc]simplify: iters left: 3 (62 enodes) 1537029886.680 * * [misc]simplify: iters left: 2 (102 enodes) 1537029886.711 * * [misc]simplify: iters left: 1 (194 enodes) 1537029886.839 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* PI n) 2) (/ (- k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537029886.839 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI n) 2) (/ (- k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (* (* 2 n) PI)) (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1537029886.839 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537029886.841 * * [misc]simplify: iters left: 6 (17 enodes) 1537029886.848 * * [misc]simplify: iters left: 5 (26 enodes) 1537029886.859 * * [misc]simplify: iters left: 4 (33 enodes) 1537029886.869 * * [misc]simplify: iters left: 3 (36 enodes) 1537029886.881 * [exit]simplify: Simplified to (* (sqrt (pow (* (* PI 2) n) (- (/ k 2)))) (/ (sqrt (* (* PI 2) n)) (cbrt (sqrt k)))) 1537029886.881 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* (* PI n) 2) (/ (- k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (sqrt (pow (* (* PI 2) n) (- (/ k 2)))) (/ (sqrt (* (* PI 2) n)) (cbrt (sqrt k)))))) 1537029886.881 * * * * [misc]progress: [ 75 / 158 ] simplifiying candidate # 1537029886.882 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1537029886.882 * * [misc]simplify: iters left: 6 (7 enodes) 1537029886.885 * * [misc]simplify: iters left: 5 (13 enodes) 1537029886.892 * * [misc]simplify: iters left: 4 (22 enodes) 1537029886.897 * * [misc]simplify: iters left: 3 (24 enodes) 1537029886.903 * * [misc]simplify: iters left: 2 (29 enodes) 1537029886.910 * [exit]simplify: Simplified to (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) 1537029886.910 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) (/ (sqrt (* (* 2 n) PI)) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))))) 1537029886.910 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))) 1537029886.912 * * [misc]simplify: iters left: 6 (16 enodes) 1537029886.917 * * [misc]simplify: iters left: 5 (25 enodes) 1537029886.921 * * [misc]simplify: iters left: 4 (32 enodes) 1537029886.926 * * [misc]simplify: iters left: 3 (35 enodes) 1537029886.933 * [exit]simplify: Simplified to (/ (* (sqrt (* n (* PI 2))) (pow (* n (* PI 2)) (- (/ k 2)))) (cbrt (sqrt k))) 1537029886.933 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (* (sqrt (* n (* PI 2))) (pow (* n (* PI 2)) (- (/ k 2)))) (cbrt (sqrt k))))) 1537029886.933 * * * * [misc]progress: [ 76 / 158 ] simplifiying candidate # 1537029886.933 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1537029886.934 * * [misc]simplify: iters left: 6 (11 enodes) 1537029886.936 * * [misc]simplify: iters left: 5 (17 enodes) 1537029886.938 * * [misc]simplify: iters left: 4 (20 enodes) 1537029886.942 * * [misc]simplify: iters left: 3 (28 enodes) 1537029886.948 * * [misc]simplify: iters left: 2 (36 enodes) 1537029886.958 * * [misc]simplify: iters left: 1 (46 enodes) 1537029886.972 * [exit]simplify: Simplified to (/ (pow PI (- (/ k 2))) (sqrt (sqrt k))) 1537029886.972 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow PI (- (/ k 2))) (sqrt (sqrt k))) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1537029886.972 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1537029886.974 * * [misc]simplify: iters left: 6 (15 enodes) 1537029886.979 * * [misc]simplify: iters left: 5 (22 enodes) 1537029886.984 * * [misc]simplify: iters left: 4 (31 enodes) 1537029886.989 * * [misc]simplify: iters left: 3 (34 enodes) 1537029886.995 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))) 1537029886.995 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow PI (- (/ k 2))) (sqrt (sqrt k))) (* (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))))) 1537029886.995 * * * * [misc]progress: [ 77 / 158 ] simplifiying candidate # 1537029886.996 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))) 1537029886.997 * * [misc]simplify: iters left: 6 (16 enodes) 1537029887.000 * * [misc]simplify: iters left: 5 (28 enodes) 1537029887.006 * * [misc]simplify: iters left: 4 (39 enodes) 1537029887.013 * * [misc]simplify: iters left: 3 (51 enodes) 1537029887.028 * * [misc]simplify: iters left: 2 (77 enodes) 1537029887.060 * * [misc]simplify: iters left: 1 (127 enodes) 1537029887.113 * [exit]simplify: Simplified to (* (cbrt (pow (* (* n 2) PI) (- (/ k 2)))) (/ (cbrt (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt (sqrt k)))) 1537029887.113 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* n 2) PI) (- (/ k 2)))) (/ (cbrt (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1537029887.113 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537029887.114 * * [misc]simplify: iters left: 6 (17 enodes) 1537029887.118 * * [misc]simplify: iters left: 5 (26 enodes) 1537029887.122 * * [misc]simplify: iters left: 4 (33 enodes) 1537029887.127 * * [misc]simplify: iters left: 3 (36 enodes) 1537029887.135 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- (/ k 2)))) (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))) 1537029887.135 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* (* n 2) PI) (- (/ k 2)))) (/ (cbrt (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt (sqrt k)))) (* (cbrt (pow (* (* PI 2) n) (- (/ k 2)))) (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))))) 1537029887.135 * * * * [misc]progress: [ 78 / 158 ] simplifiying candidate # 1537029887.136 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537029887.137 * * [misc]simplify: iters left: 6 (15 enodes) 1537029887.140 * * [misc]simplify: iters left: 5 (25 enodes) 1537029887.145 * * [misc]simplify: iters left: 4 (34 enodes) 1537029887.151 * * [misc]simplify: iters left: 3 (43 enodes) 1537029887.158 * * [misc]simplify: iters left: 2 (51 enodes) 1537029887.166 * * [misc]simplify: iters left: 1 (61 enodes) 1537029887.180 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt (sqrt k))) 1537029887.180 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1537029887.180 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537029887.181 * * [misc]simplify: iters left: 6 (17 enodes) 1537029887.185 * * [misc]simplify: iters left: 5 (26 enodes) 1537029887.190 * * [misc]simplify: iters left: 4 (33 enodes) 1537029887.195 * * [misc]simplify: iters left: 3 (36 enodes) 1537029887.202 * [exit]simplify: Simplified to (* (sqrt (pow (* (* PI 2) n) (- (/ k 2)))) (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))) 1537029887.202 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt (sqrt k))) (* (sqrt (pow (* (* PI 2) n) (- (/ k 2)))) (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))))) 1537029887.202 * * * * [misc]progress: [ 79 / 158 ] simplifiying candidate # 1537029887.202 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) 1537029887.204 * * [misc]simplify: iters left: 6 (6 enodes) 1537029887.205 * * [misc]simplify: iters left: 5 (10 enodes) 1537029887.208 * * [misc]simplify: iters left: 4 (16 enodes) 1537029887.210 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1537029887.210 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))))) 1537029887.210 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))) 1537029887.211 * * [misc]simplify: iters left: 6 (16 enodes) 1537029887.215 * * [misc]simplify: iters left: 5 (25 enodes) 1537029887.220 * * [misc]simplify: iters left: 4 (32 enodes) 1537029887.225 * * [misc]simplify: iters left: 3 (35 enodes) 1537029887.234 * [exit]simplify: Simplified to (/ (* (sqrt (* n (* PI 2))) (pow (* n (* PI 2)) (- (/ k 2)))) (sqrt (sqrt k))) 1537029887.234 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (* (sqrt (* n (* PI 2))) (pow (* n (* PI 2)) (- (/ k 2)))) (sqrt (sqrt k))))) 1537029887.234 * * * * [misc]progress: [ 80 / 158 ] simplifiying candidate # 1537029887.234 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow PI (- (/ k 2))))) 1537029887.235 * * [misc]simplify: iters left: 6 (9 enodes) 1537029887.239 * * [misc]simplify: iters left: 5 (15 enodes) 1537029887.243 * * [misc]simplify: iters left: 4 (16 enodes) 1537029887.249 * * [misc]simplify: iters left: 3 (20 enodes) 1537029887.253 * [exit]simplify: Simplified to (pow PI (- (/ k 2))) 1537029887.253 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (- (/ k 2))) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1537029887.253 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1537029887.255 * * [misc]simplify: iters left: 6 (14 enodes) 1537029887.260 * * [misc]simplify: iters left: 5 (21 enodes) 1537029887.267 * * [misc]simplify: iters left: 4 (30 enodes) 1537029887.274 * * [misc]simplify: iters left: 3 (33 enodes) 1537029887.280 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* 2 n) (- (/ k 2))))) 1537029887.280 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- (/ k 2))) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* 2 n) (- (/ k 2))))))) 1537029887.280 * * * * [misc]progress: [ 81 / 158 ] simplifiying candidate # 1537029887.280 * [enter]simplify: Simplifying (/ 1 (/ 1 (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))) 1537029887.281 * * [misc]simplify: iters left: 6 (14 enodes) 1537029887.285 * * [misc]simplify: iters left: 5 (26 enodes) 1537029887.291 * * [misc]simplify: iters left: 4 (33 enodes) 1537029887.297 * * [misc]simplify: iters left: 3 (40 enodes) 1537029887.303 * * [misc]simplify: iters left: 2 (42 enodes) 1537029887.309 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 PI) n) (/ (- k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- k) 2)))) 1537029887.309 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* 2 PI) n) (/ (- k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- k) 2)))) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1537029887.309 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537029887.310 * * [misc]simplify: iters left: 6 (16 enodes) 1537029887.315 * * [misc]simplify: iters left: 5 (25 enodes) 1537029887.323 * * [misc]simplify: iters left: 4 (32 enodes) 1537029887.330 * * [misc]simplify: iters left: 3 (35 enodes) 1537029887.336 * [exit]simplify: Simplified to (* (/ (sqrt (* n (* PI 2))) (sqrt k)) (cbrt (pow (* n (* PI 2)) (- (/ k 2))))) 1537029887.337 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* (* 2 PI) n) (/ (- k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- k) 2)))) (* (/ (sqrt (* n (* PI 2))) (sqrt k)) (cbrt (pow (* n (* PI 2)) (- (/ k 2))))))) 1537029887.337 * * * * [misc]progress: [ 82 / 158 ] simplifiying candidate # 1537029887.337 * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537029887.338 * * [misc]simplify: iters left: 6 (13 enodes) 1537029887.341 * * [misc]simplify: iters left: 5 (23 enodes) 1537029887.345 * * [misc]simplify: iters left: 4 (30 enodes) 1537029887.351 * * [misc]simplify: iters left: 3 (35 enodes) 1537029887.356 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 PI) n) (/ (- k) 2))) 1537029887.356 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* 2 PI) n) (/ (- k) 2))) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1537029887.356 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537029887.358 * * [misc]simplify: iters left: 6 (16 enodes) 1537029887.361 * * [misc]simplify: iters left: 5 (25 enodes) 1537029887.370 * * [misc]simplify: iters left: 4 (32 enodes) 1537029887.380 * * [misc]simplify: iters left: 3 (35 enodes) 1537029887.392 * [exit]simplify: Simplified to (* (/ (sqrt (* n (* PI 2))) (sqrt k)) (sqrt (pow (* n (* PI 2)) (- (/ k 2))))) 1537029887.392 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow (* (* 2 PI) n) (/ (- k) 2))) (* (/ (sqrt (* n (* PI 2))) (sqrt k)) (sqrt (pow (* n (* PI 2)) (- (/ k 2))))))) 1537029887.392 * * * * [misc]progress: [ 83 / 158 ] simplifiying candidate # 1537029887.392 * [enter]simplify: Simplifying (/ 1 (/ 1 1)) 1537029887.393 * * [misc]simplify: iters left: 4 (3 enodes) 1537029887.394 * * [misc]simplify: iters left: 3 (5 enodes) 1537029887.395 * [exit]simplify: Simplified to 1 1537029887.395 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1537029887.395 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) 1537029887.397 * * [misc]simplify: iters left: 6 (15 enodes) 1537029887.404 * * [misc]simplify: iters left: 5 (24 enodes) 1537029887.412 * * [misc]simplify: iters left: 4 (31 enodes) 1537029887.422 * * [misc]simplify: iters left: 3 (34 enodes) 1537029887.434 * [exit]simplify: Simplified to (/ (* (pow (* (* PI 2) n) (/ (- k) 2)) (sqrt (* (* PI 2) n))) (sqrt k)) 1537029887.434 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (* (pow (* (* PI 2) n) (/ (- k) 2)) (sqrt (* (* PI 2) n))) (sqrt k)))) 1537029887.434 * * * * [misc]progress: [ 84 / 158 ] simplifiying candidate # 1537029887.435 * [enter]simplify: Simplifying (/ 1 1) 1537029887.435 * * [misc]simplify: iters left: 2 (2 enodes) 1537029887.436 * * [misc]simplify: iters left: 1 (4 enodes) 1537029887.437 * [exit]simplify: Simplified to 1 1537029887.437 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1537029887.437 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) 1537029887.438 * * [misc]simplify: iters left: 6 (15 enodes) 1537029887.445 * * [misc]simplify: iters left: 5 (24 enodes) 1537029887.453 * * [misc]simplify: iters left: 4 (31 enodes) 1537029887.463 * * [misc]simplify: iters left: 3 (34 enodes) 1537029887.475 * [exit]simplify: Simplified to (/ (* (pow (* (* PI 2) n) (/ (- k) 2)) (sqrt (* (* PI 2) n))) (sqrt k)) 1537029887.475 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (* (pow (* (* PI 2) n) (/ (- k) 2)) (sqrt (* (* PI 2) n))) (sqrt k)))) 1537029887.475 * * * * [misc]progress: [ 85 / 158 ] simplifiying candidate # 1537029887.475 * [enter]simplify: Simplifying (/ 1 (sqrt k)) 1537029887.476 * * [misc]simplify: iters left: 3 (4 enodes) 1537029887.477 * * [misc]simplify: iters left: 2 (6 enodes) 1537029887.479 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1537029887.479 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (sqrt (* (* 2 n) PI)) (/ 1 (pow (* PI (* n 2)) (- (/ k 2))))))) 1537029887.479 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (/ 1 (pow (* PI (* n 2)) (- (/ k 2))))) 1537029887.480 * * [misc]simplify: iters left: 6 (15 enodes) 1537029887.487 * * [misc]simplify: iters left: 5 (26 enodes) 1537029887.498 * * [misc]simplify: iters left: 4 (33 enodes) 1537029887.512 * * [misc]simplify: iters left: 3 (44 enodes) 1537029887.524 * * [misc]simplify: iters left: 2 (46 enodes) 1537029887.534 * * [misc]simplify: iters left: 1 (51 enodes) 1537029887.549 * [exit]simplify: Simplified to (* (pow (* (* PI 2) n) (/ (- k) 2)) (sqrt (* (* PI 2) n))) 1537029887.549 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* PI 2) n) (/ (- k) 2)) (sqrt (* (* PI 2) n))))) 1537029887.549 * * * * [misc]progress: [ 86 / 158 ] simplifiying candidate # 1537029887.549 * [enter]simplify: Simplifying (/ 1 (/ (sqrt k) 1)) 1537029887.550 * * [misc]simplify: iters left: 5 (5 enodes) 1537029887.552 * * [misc]simplify: iters left: 4 (9 enodes) 1537029887.557 * * [misc]simplify: iters left: 3 (15 enodes) 1537029887.560 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1537029887.560 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2))))) 1537029887.561 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2))) 1537029887.562 * * [misc]simplify: iters left: 6 (12 enodes) 1537029887.567 * * [misc]simplify: iters left: 5 (17 enodes) 1537029887.573 * * [misc]simplify: iters left: 4 (21 enodes) 1537029887.580 * * [misc]simplify: iters left: 3 (22 enodes) 1537029887.585 * [exit]simplify: Simplified to (/ (sqrt (* (* PI n) 2)) (pow (* (* PI n) 2) (/ k 2))) 1537029887.585 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (/ (sqrt (* (* PI n) 2)) (pow (* (* PI n) 2) (/ k 2))))) 1537029887.585 * * * * [misc]progress: [ 87 / 158 ] simplifiying candidate # 1537029887.585 * [enter]simplify: Simplifying (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) 0))) 1537029887.586 * * [misc]simplify: iters left: 6 (12 enodes) 1537029887.589 * * [misc]simplify: iters left: 5 (19 enodes) 1537029887.592 * * [misc]simplify: iters left: 4 (25 enodes) 1537029887.597 * * [misc]simplify: iters left: 3 (32 enodes) 1537029887.600 * * [misc]simplify: iters left: 2 (33 enodes) 1537029887.604 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1537029887.604 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2))))) 1537029887.604 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2))) 1537029887.607 * * [misc]simplify: iters left: 6 (12 enodes) 1537029887.609 * * [misc]simplify: iters left: 5 (17 enodes) 1537029887.612 * * [misc]simplify: iters left: 4 (21 enodes) 1537029887.615 * * [misc]simplify: iters left: 3 (22 enodes) 1537029887.619 * [exit]simplify: Simplified to (/ (sqrt (* (* PI n) 2)) (pow (* (* PI n) 2) (/ k 2))) 1537029887.619 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (/ (sqrt (* (* PI n) 2)) (pow (* (* PI n) 2) (/ k 2))))) 1537029887.619 * * * * [misc]progress: [ 88 / 158 ] simplifiying candidate # 1537029887.619 * * * * [misc]progress: [ 89 / 158 ] simplifiying candidate # 1537029887.619 * * * * [misc]progress: [ 90 / 158 ] simplifiying candidate # 1537029887.619 * * * * [misc]progress: [ 91 / 158 ] simplifiying candidate # 1537029887.620 * [enter]simplify: Simplifying (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) 1537029887.621 * * [misc]simplify: iters left: 6 (12 enodes) 1537029887.626 * * [misc]simplify: iters left: 5 (18 enodes) 1537029887.632 * * [misc]simplify: iters left: 4 (24 enodes) 1537029887.640 * * [misc]simplify: iters left: 3 (26 enodes) 1537029887.649 * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- k) 2)))) 1537029887.649 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- k) 2)))))) 1537029887.650 * * * * [misc]progress: [ 92 / 158 ] simplifiying candidate # 1537029887.650 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) 1537029887.651 * * [misc]simplify: iters left: 6 (12 enodes) 1537029887.657 * * [misc]simplify: iters left: 5 (18 enodes) 1537029887.663 * * [misc]simplify: iters left: 4 (24 enodes) 1537029887.671 * * [misc]simplify: iters left: 3 (26 enodes) 1537029887.681 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- k) 2)))) 1537029887.681 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- k) 2)))))) 1537029887.681 * * * * [misc]progress: [ 93 / 158 ] simplifiying candidate # 1537029887.681 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1537029887.682 * * [misc]simplify: iters left: 6 (10 enodes) 1537029887.686 * * [misc]simplify: iters left: 5 (13 enodes) 1537029887.691 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1537029887.691 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1537029887.691 * * * * [misc]progress: [ 94 / 158 ] simplifiying candidate # 1537029887.691 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) 1537029887.692 * * [misc]simplify: iters left: 6 (13 enodes) 1537029887.697 * * [misc]simplify: iters left: 5 (19 enodes) 1537029887.702 * * [misc]simplify: iters left: 4 (25 enodes) 1537029887.706 * * [misc]simplify: iters left: 3 (26 enodes) 1537029887.712 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- (/ k 2))))) 1537029887.712 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- (/ k 2))))))) 1537029887.712 * * * * [misc]progress: [ 95 / 158 ] simplifiying candidate # 1537029887.712 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) 1537029887.713 * * [misc]simplify: iters left: 6 (13 enodes) 1537029887.716 * * [misc]simplify: iters left: 5 (19 enodes) 1537029887.719 * * [misc]simplify: iters left: 4 (25 enodes) 1537029887.723 * * [misc]simplify: iters left: 3 (26 enodes) 1537029887.728 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- (/ k 2))))) 1537029887.728 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- (/ k 2))))))) 1537029887.728 * * * * [misc]progress: [ 96 / 158 ] simplifiying candidate # 1537029887.728 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1537029887.729 * * [misc]simplify: iters left: 6 (12 enodes) 1537029887.731 * * [misc]simplify: iters left: 5 (18 enodes) 1537029887.734 * * [misc]simplify: iters left: 4 (24 enodes) 1537029887.741 * * [misc]simplify: iters left: 3 (25 enodes) 1537029887.749 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1537029887.749 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))))) 1537029887.749 * * * * [misc]progress: [ 97 / 158 ] simplifiying candidate # 1537029887.749 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1537029887.749 * * [misc]simplify: iters left: 6 (10 enodes) 1537029887.751 * * [misc]simplify: iters left: 5 (13 enodes) 1537029887.754 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1537029887.754 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1537029887.754 * * * * [misc]progress: [ 98 / 158 ] simplifiying candidate # 1537029887.754 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) 1537029887.755 * * [misc]simplify: iters left: 6 (13 enodes) 1537029887.757 * * [misc]simplify: iters left: 5 (19 enodes) 1537029887.761 * * [misc]simplify: iters left: 4 (25 enodes) 1537029887.765 * * [misc]simplify: iters left: 3 (26 enodes) 1537029887.769 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- (/ k 2))))) 1537029887.769 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- (/ k 2))))))) 1537029887.769 * * * * [misc]progress: [ 99 / 158 ] simplifiying candidate # 1537029887.770 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) 1537029887.770 * * [misc]simplify: iters left: 6 (13 enodes) 1537029887.773 * * [misc]simplify: iters left: 5 (19 enodes) 1537029887.778 * * [misc]simplify: iters left: 4 (25 enodes) 1537029887.788 * * [misc]simplify: iters left: 3 (26 enodes) 1537029887.797 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- (/ k 2))))) 1537029887.797 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- (/ k 2))))))) 1537029887.797 * * * * [misc]progress: [ 100 / 158 ] simplifiying candidate # 1537029887.797 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1537029887.798 * * [misc]simplify: iters left: 6 (12 enodes) 1537029887.803 * * [misc]simplify: iters left: 5 (18 enodes) 1537029887.810 * * [misc]simplify: iters left: 4 (24 enodes) 1537029887.818 * * [misc]simplify: iters left: 3 (25 enodes) 1537029887.827 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1537029887.827 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))))) 1537029887.827 * * * * [misc]progress: [ 101 / 158 ] simplifiying candidate # 1537029887.827 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1537029887.828 * * [misc]simplify: iters left: 6 (9 enodes) 1537029887.832 * * [misc]simplify: iters left: 5 (12 enodes) 1537029887.836 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1537029887.836 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (/ 1 (pow PI (- (/ k 2))))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2))))) 1537029887.836 * * * * [misc]progress: [ 102 / 158 ] simplifiying candidate # 1537029887.837 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) 1537029887.838 * * [misc]simplify: iters left: 6 (12 enodes) 1537029887.843 * * [misc]simplify: iters left: 5 (18 enodes) 1537029887.850 * * [misc]simplify: iters left: 4 (24 enodes) 1537029887.857 * * [misc]simplify: iters left: 3 (26 enodes) 1537029887.867 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (/ (- k) 2)))) 1537029887.867 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (/ 1 (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (/ (- k) 2)))))) 1537029887.867 * * * * [misc]progress: [ 103 / 158 ] simplifiying candidate # 1537029887.868 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) 1537029887.869 * * [misc]simplify: iters left: 6 (12 enodes) 1537029887.874 * * [misc]simplify: iters left: 5 (18 enodes) 1537029887.881 * * [misc]simplify: iters left: 4 (24 enodes) 1537029887.888 * * [misc]simplify: iters left: 3 (26 enodes) 1537029887.897 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (/ (- k) 2)))) 1537029887.897 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (/ 1 (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (/ (- k) 2)))))) 1537029887.897 * * * * [misc]progress: [ 104 / 158 ] simplifiying candidate # 1537029887.897 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1537029887.898 * * [misc]simplify: iters left: 6 (11 enodes) 1537029887.903 * * [misc]simplify: iters left: 5 (17 enodes) 1537029887.909 * * [misc]simplify: iters left: 4 (23 enodes) 1537029887.918 * * [misc]simplify: iters left: 3 (24 enodes) 1537029887.925 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1537029887.925 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (/ 1 1)) (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))))) 1537029887.926 * * * * [misc]progress: [ 105 / 158 ] simplifiying candidate # 1537029887.926 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1537029887.927 * * [misc]simplify: iters left: 6 (11 enodes) 1537029887.931 * * [misc]simplify: iters left: 5 (17 enodes) 1537029887.936 * * [misc]simplify: iters left: 4 (23 enodes) 1537029887.940 * * [misc]simplify: iters left: 3 (24 enodes) 1537029887.944 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1537029887.944 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) 1) (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))))) 1537029887.944 * * * * [misc]progress: [ 106 / 158 ] simplifiying candidate # 1537029887.944 * [enter]simplify: Simplifying (/ 1 (pow (* PI (* n 2)) (- (/ k 2)))) 1537029887.945 * * [misc]simplify: iters left: 6 (11 enodes) 1537029887.947 * * [misc]simplify: iters left: 5 (19 enodes) 1537029887.951 * * [misc]simplify: iters left: 4 (25 enodes) 1537029887.955 * * [misc]simplify: iters left: 3 (26 enodes) 1537029887.959 * [exit]simplify: Simplified to (/ 1 (pow (* (* n PI) 2) (- (/ k 2)))) 1537029887.959 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (sqrt k)) (/ 1 (pow (* (* n PI) 2) (- (/ k 2)))))) 1537029887.959 * * * * [misc]progress: [ 107 / 158 ] simplifiying candidate # 1537029887.959 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1537029887.960 * * [misc]simplify: iters left: 5 (8 enodes) 1537029887.962 * * [misc]simplify: iters left: 4 (12 enodes) 1537029887.964 * * [misc]simplify: iters left: 3 (18 enodes) 1537029887.967 * * [misc]simplify: iters left: 2 (20 enodes) 1537029887.971 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1537029887.971 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) 1)) (pow (* (* 2 n) PI) (/ k 2)))) 1537029887.971 * * * * [misc]progress: [ 108 / 158 ] simplifiying candidate # 1537029887.971 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1537029887.972 * * [misc]simplify: iters left: 5 (8 enodes) 1537029887.973 * * [misc]simplify: iters left: 4 (12 enodes) 1537029887.976 * * [misc]simplify: iters left: 3 (18 enodes) 1537029887.979 * * [misc]simplify: iters left: 2 (20 enodes) 1537029887.985 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1537029887.985 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) 0))) (pow (* (* 2 n) PI) (/ k 2)))) 1537029887.986 * * * * [misc]progress: [ 109 / 158 ] simplifiying candidate # 1537029887.986 * [enter]simplify: Simplifying (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) 1537029887.987 * * [misc]simplify: iters left: 6 (8 enodes) 1537029887.990 * * [misc]simplify: iters left: 5 (12 enodes) 1537029887.995 * * [misc]simplify: iters left: 4 (18 enodes) 1537029888.003 * * [misc]simplify: iters left: 3 (20 enodes) 1537029888.009 * [exit]simplify: Simplified to (* (cbrt (sqrt (* 2 (* PI n)))) (cbrt (sqrt (* 2 (* PI n))))) 1537029888.009 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (cbrt (sqrt (* 2 (* PI n)))) (cbrt (sqrt (* 2 (* PI n))))) (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (* (* 2 n) PI)))))) 1537029888.009 * * * * [misc]progress: [ 110 / 158 ] simplifiying candidate # 1537029888.009 * [enter]simplify: Simplifying (sqrt (* 2 n)) 1537029888.010 * * [misc]simplify: iters left: 3 (4 enodes) 1537029888.011 * * [misc]simplify: iters left: 2 (5 enodes) 1537029888.013 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1537029888.013 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* 2 n)) (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt PI)))) 1537029888.013 * * * * [misc]progress: [ 111 / 158 ] simplifiying candidate # 1537029888.013 * [enter]simplify: Simplifying (sqrt (sqrt (* (* 2 n) PI))) 1537029888.014 * * [misc]simplify: iters left: 6 (7 enodes) 1537029888.016 * * [misc]simplify: iters left: 5 (11 enodes) 1537029888.021 * * [misc]simplify: iters left: 4 (17 enodes) 1537029888.027 * * [misc]simplify: iters left: 3 (19 enodes) 1537029888.033 * [exit]simplify: Simplified to (sqrt (sqrt (* (* 2 n) PI))) 1537029888.033 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI)))))) 1537029888.033 * * * * [misc]progress: [ 112 / 158 ] simplifiying candidate # 1537029888.033 * * * * [misc]progress: [ 113 / 158 ] simplifiying candidate # 1537029888.033 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1537029888.034 * * [misc]simplify: iters left: 5 (9 enodes) 1537029888.038 * * [misc]simplify: iters left: 4 (15 enodes) 1537029888.041 * * [misc]simplify: iters left: 3 (21 enodes) 1537029888.045 * * [misc]simplify: iters left: 2 (22 enodes) 1537029888.048 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1537029888.048 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2))))) 1537029888.048 * * * * [misc]progress: [ 114 / 158 ] simplifiying candidate # 1537029888.048 * * * * [misc]progress: [ 115 / 158 ] simplifiying candidate # 1537029888.049 * * * * [misc]progress: [ 116 / 158 ] simplifiying candidate # 1537029888.049 * * * * [misc]progress: [ 117 / 158 ] simplifiying candidate # 1537029888.049 * * * * [misc]progress: [ 118 / 158 ] simplifiying candidate # 1537029888.049 * * * * [misc]progress: [ 119 / 158 ] simplifiying candidate # 1537029888.049 * * * * [misc]progress: [ 120 / 158 ] simplifiying candidate # 1537029888.049 * * * * [misc]progress: [ 121 / 158 ] simplifiying candidate # 1537029888.049 * * * * [misc]progress: [ 122 / 158 ] simplifiying candidate # 1537029888.049 * * * * [misc]progress: [ 123 / 158 ] simplifiying candidate # 1537029888.049 * * * * [misc]progress: [ 124 / 158 ] simplifiying candidate # 1537029888.049 * * * * [misc]progress: [ 125 / 158 ] simplifiying candidate # 1537029888.049 * * * * [misc]progress: [ 126 / 158 ] simplifiying candidate # 1537029888.049 * * * * [misc]progress: [ 127 / 158 ] simplifiying candidate # 1537029888.049 * * * * [misc]progress: [ 128 / 158 ] simplifiying candidate # 1537029888.049 * * * * [misc]progress: [ 129 / 158 ] simplifiying candidate # 1537029888.049 * * * * [misc]progress: [ 130 / 158 ] simplifiying candidate # 1537029888.049 * * * * [misc]progress: [ 131 / 158 ] simplifiying candidate # 1537029888.049 * * * * [misc]progress: [ 132 / 158 ] simplifiying candidate # 1537029888.049 * * * * [misc]progress: [ 133 / 158 ] simplifiying candidate # 1537029888.049 * * * * [misc]progress: [ 134 / 158 ] simplifiying candidate # 1537029888.049 * * * * [misc]progress: [ 135 / 158 ] simplifiying candidate # 1537029888.049 * * * * [misc]progress: [ 136 / 158 ] simplifiying candidate # 1537029888.049 * * * * [misc]progress: [ 137 / 158 ] simplifiying candidate # 1537029888.049 * * * * [misc]progress: [ 138 / 158 ] simplifiying candidate # 1537029888.049 * * * * [misc]progress: [ 139 / 158 ] simplifiying candidate # 1537029888.049 * * * * [misc]progress: [ 140 / 158 ] simplifiying candidate # 1537029888.049 * * * * [misc]progress: [ 141 / 158 ] simplifiying candidate # 1537029888.049 * * * * [misc]progress: [ 142 / 158 ] simplifiying candidate # 1537029888.049 * * * * [misc]progress: [ 143 / 158 ] simplifiying candidate # 1537029888.050 * * * * [misc]progress: [ 144 / 158 ] simplifiying candidate # 1537029888.050 * [enter]simplify: Simplifying (sqrt (* 2 n)) 1537029888.050 * * [misc]simplify: iters left: 3 (4 enodes) 1537029888.051 * * [misc]simplify: iters left: 2 (5 enodes) 1537029888.052 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1537029888.052 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (* 2 n)) (sqrt PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1537029888.052 * * * * [misc]progress: [ 145 / 158 ] simplifiying candidate # 1537029888.052 * * * * [misc]progress: [ 146 / 158 ] simplifiying candidate # 1537029888.052 * * * * [misc]progress: [ 147 / 158 ] simplifiying candidate # 1537029888.052 * [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)))))))))))))) 1537029888.052 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1537029888.052 * * * * [misc]progress: [ 148 / 158 ] simplifiying candidate # 1537029888.052 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (pow PI 2))) (* n (pow k 2)))) (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (pow PI 3))) (* (pow n 2) (pow k 3)))) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) PI)) k))))))) 1537029888.052 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1537029888.052 * * * * [misc]progress: [ 149 / 158 ] simplifiying candidate # 1537029888.052 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) PI)) (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) PI) k)) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) (pow PI 2)) n))))))) 1537029888.052 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1537029888.052 * * * * [misc]progress: [ 150 / 158 ] simplifiying candidate # 1537029888.052 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537029888.053 * * [misc]simplify: iters left: 4 (5 enodes) 1537029888.054 * * [misc]simplify: iters left: 3 (9 enodes) 1537029888.056 * * [misc]simplify: iters left: 2 (15 enodes) 1537029888.059 * * [misc]simplify: iters left: 1 (17 enodes) 1537029888.061 * [exit]simplify: Simplified to (* (* PI n) 2) 1537029888.061 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* (* PI n) 2) (- (/ k 2)))))) 1537029888.061 * * * * [misc]progress: [ 151 / 158 ] simplifiying candidate # 1537029888.062 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537029888.062 * * [misc]simplify: iters left: 4 (5 enodes) 1537029888.063 * * [misc]simplify: iters left: 3 (9 enodes) 1537029888.065 * * [misc]simplify: iters left: 2 (15 enodes) 1537029888.068 * * [misc]simplify: iters left: 1 (17 enodes) 1537029888.071 * [exit]simplify: Simplified to (* (* PI n) 2) 1537029888.071 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* (* PI n) 2) (- (/ k 2)))))) 1537029888.071 * * * * [misc]progress: [ 152 / 158 ] simplifiying candidate # 1537029888.071 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537029888.071 * * [misc]simplify: iters left: 4 (5 enodes) 1537029888.072 * * [misc]simplify: iters left: 3 (9 enodes) 1537029888.074 * * [misc]simplify: iters left: 2 (15 enodes) 1537029888.079 * * [misc]simplify: iters left: 1 (17 enodes) 1537029888.084 * [exit]simplify: Simplified to (* (* PI n) 2) 1537029888.084 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* (* PI n) 2) (- (/ k 2)))))) 1537029888.084 * * * * [misc]progress: [ 153 / 158 ] simplifiying candidate # 1537029888.085 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537029888.085 * * [misc]simplify: iters left: 4 (5 enodes) 1537029888.087 * * [misc]simplify: iters left: 3 (9 enodes) 1537029888.091 * * [misc]simplify: iters left: 2 (15 enodes) 1537029888.098 * * [misc]simplify: iters left: 1 (17 enodes) 1537029888.100 * [exit]simplify: Simplified to (* (* PI n) 2) 1537029888.101 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (sqrt (* (* PI n) 2)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1537029888.101 * * * * [misc]progress: [ 154 / 158 ] simplifiying candidate # 1537029888.101 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537029888.101 * * [misc]simplify: iters left: 4 (5 enodes) 1537029888.102 * * [misc]simplify: iters left: 3 (9 enodes) 1537029888.104 * * [misc]simplify: iters left: 2 (15 enodes) 1537029888.107 * * [misc]simplify: iters left: 1 (17 enodes) 1537029888.110 * [exit]simplify: Simplified to (* (* PI n) 2) 1537029888.110 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (sqrt (* (* PI n) 2)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1537029888.110 * * * * [misc]progress: [ 155 / 158 ] simplifiying candidate # 1537029888.110 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537029888.110 * * [misc]simplify: iters left: 4 (5 enodes) 1537029888.111 * * [misc]simplify: iters left: 3 (9 enodes) 1537029888.113 * * [misc]simplify: iters left: 2 (15 enodes) 1537029888.116 * * [misc]simplify: iters left: 1 (17 enodes) 1537029888.119 * [exit]simplify: Simplified to (* (* PI n) 2) 1537029888.119 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (sqrt (* (* PI n) 2)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1537029888.119 * * * * [misc]progress: [ 156 / 158 ] simplifiying candidate # 1537029888.119 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow n 3) (pow PI 3)))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))) 1537029888.119 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ +nan.0 (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1537029888.119 * * * * [misc]progress: [ 157 / 158 ] simplifiying candidate # 1537029888.119 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (pow n 2))) (- (+ (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) n)) (- (* +nan.0 (* (sqrt 2) PI))))))) 1537029888.119 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ +nan.0 (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1537029888.119 * * * * [misc]progress: [ 158 / 158 ] simplifiying candidate # 1537029888.119 * [enter]simplify: Simplifying (- (+ (* +nan.0 PI) (- (+ (* +nan.0 (/ (pow PI 3) (pow n 2))) (- (* +nan.0 (/ (pow PI 2) n))))))) 1537029888.119 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ +nan.0 (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1537029888.119 * * * [misc]progress: adding candidates to table 1537029892.231 * * [misc]progress: iteration 3 / 4 1537029892.231 * * * [misc]progress: picking best candidate 1537029892.341 * * * * [misc]pick: Picked # 1537029892.341 * * * [misc]progress: localizing error 1537029892.351 * * * [misc]progress: generating rewritten candidates 1537029892.351 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1 2 1) 1537029892.365 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 1) 1537029892.379 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) 1537029892.462 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) 1537029892.550 * * * [misc]progress: generating series expansions 1537029892.550 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1 2 1) 1537029892.554 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1537029892.554 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1537029892.554 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537029892.554 * [misc]taylor: Taking taylor expansion of 2 in n 1537029892.554 * [misc]backup-simplify: Simplify 2 into 2 1537029892.554 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537029892.554 * [misc]taylor: Taking taylor expansion of n in n 1537029892.554 * [misc]backup-simplify: Simplify 0 into 0 1537029892.554 * [misc]backup-simplify: Simplify 1 into 1 1537029892.554 * [misc]taylor: Taking taylor expansion of PI in n 1537029892.554 * [misc]backup-simplify: Simplify PI into PI 1537029892.554 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537029892.554 * [misc]taylor: Taking taylor expansion of 2 in n 1537029892.554 * [misc]backup-simplify: Simplify 2 into 2 1537029892.554 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537029892.554 * [misc]taylor: Taking taylor expansion of n in n 1537029892.554 * [misc]backup-simplify: Simplify 0 into 0 1537029892.554 * [misc]backup-simplify: Simplify 1 into 1 1537029892.554 * [misc]taylor: Taking taylor expansion of PI in n 1537029892.554 * [misc]backup-simplify: Simplify PI into PI 1537029892.555 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537029892.555 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537029892.555 * [misc]backup-simplify: Simplify 0 into 0 1537029892.555 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537029892.556 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537029892.556 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537029892.557 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1537029892.557 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1537029892.557 * [misc]backup-simplify: Simplify 0 into 0 1537029892.558 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1537029892.559 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1537029892.559 * [misc]backup-simplify: Simplify 0 into 0 1537029892.561 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537029892.562 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1537029892.562 * [misc]backup-simplify: Simplify 0 into 0 1537029892.564 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537029892.565 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1537029892.565 * [misc]backup-simplify: Simplify 0 into 0 1537029892.567 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537029892.569 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1537029892.570 * [misc]backup-simplify: Simplify 0 into 0 1537029892.572 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1537029892.574 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1537029892.574 * [misc]backup-simplify: Simplify 0 into 0 1537029892.575 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1537029892.575 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1537029892.575 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1537029892.575 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537029892.575 * [misc]taylor: Taking taylor expansion of 2 in n 1537029892.575 * [misc]backup-simplify: Simplify 2 into 2 1537029892.575 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537029892.575 * [misc]taylor: Taking taylor expansion of PI in n 1537029892.575 * [misc]backup-simplify: Simplify PI into PI 1537029892.575 * [misc]taylor: Taking taylor expansion of n in n 1537029892.575 * [misc]backup-simplify: Simplify 0 into 0 1537029892.575 * [misc]backup-simplify: Simplify 1 into 1 1537029892.575 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537029892.575 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537029892.575 * [misc]taylor: Taking taylor expansion of 2 in n 1537029892.575 * [misc]backup-simplify: Simplify 2 into 2 1537029892.575 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537029892.575 * [misc]taylor: Taking taylor expansion of PI in n 1537029892.575 * [misc]backup-simplify: Simplify PI into PI 1537029892.575 * [misc]taylor: Taking taylor expansion of n in n 1537029892.575 * [misc]backup-simplify: Simplify 0 into 0 1537029892.575 * [misc]backup-simplify: Simplify 1 into 1 1537029892.576 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537029892.576 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537029892.576 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537029892.577 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537029892.577 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537029892.577 * [misc]backup-simplify: Simplify 0 into 0 1537029892.578 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029892.579 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1537029892.579 * [misc]backup-simplify: Simplify 0 into 0 1537029892.580 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029892.581 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537029892.581 * [misc]backup-simplify: Simplify 0 into 0 1537029892.582 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029892.583 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537029892.583 * [misc]backup-simplify: Simplify 0 into 0 1537029892.585 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029892.586 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537029892.586 * [misc]backup-simplify: Simplify 0 into 0 1537029892.588 * [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 1537029892.590 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537029892.590 * [misc]backup-simplify: Simplify 0 into 0 1537029892.590 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1537029892.590 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1537029892.590 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1537029892.590 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537029892.590 * [misc]taylor: Taking taylor expansion of -2 in n 1537029892.590 * [misc]backup-simplify: Simplify -2 into -2 1537029892.590 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537029892.590 * [misc]taylor: Taking taylor expansion of PI in n 1537029892.590 * [misc]backup-simplify: Simplify PI into PI 1537029892.590 * [misc]taylor: Taking taylor expansion of n in n 1537029892.590 * [misc]backup-simplify: Simplify 0 into 0 1537029892.590 * [misc]backup-simplify: Simplify 1 into 1 1537029892.591 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537029892.591 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537029892.591 * [misc]taylor: Taking taylor expansion of -2 in n 1537029892.591 * [misc]backup-simplify: Simplify -2 into -2 1537029892.591 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537029892.591 * [misc]taylor: Taking taylor expansion of PI in n 1537029892.591 * [misc]backup-simplify: Simplify PI into PI 1537029892.591 * [misc]taylor: Taking taylor expansion of n in n 1537029892.591 * [misc]backup-simplify: Simplify 0 into 0 1537029892.591 * [misc]backup-simplify: Simplify 1 into 1 1537029892.591 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537029892.591 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537029892.591 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537029892.592 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537029892.592 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537029892.593 * [misc]backup-simplify: Simplify 0 into 0 1537029892.593 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029892.594 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1537029892.594 * [misc]backup-simplify: Simplify 0 into 0 1537029892.595 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029892.597 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537029892.597 * [misc]backup-simplify: Simplify 0 into 0 1537029892.599 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029892.602 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537029892.602 * [misc]backup-simplify: Simplify 0 into 0 1537029892.604 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029892.607 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537029892.607 * [misc]backup-simplify: Simplify 0 into 0 1537029892.610 * [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 1537029892.613 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537029892.613 * [misc]backup-simplify: Simplify 0 into 0 1537029892.614 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1537029892.614 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 1) 1537029892.614 * [misc]backup-simplify: Simplify (* (* 2 n) PI) into (* 2 (* n PI)) 1537029892.614 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1537029892.614 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537029892.614 * [misc]taylor: Taking taylor expansion of 2 in n 1537029892.614 * [misc]backup-simplify: Simplify 2 into 2 1537029892.614 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537029892.614 * [misc]taylor: Taking taylor expansion of n in n 1537029892.614 * [misc]backup-simplify: Simplify 0 into 0 1537029892.614 * [misc]backup-simplify: Simplify 1 into 1 1537029892.614 * [misc]taylor: Taking taylor expansion of PI in n 1537029892.615 * [misc]backup-simplify: Simplify PI into PI 1537029892.615 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537029892.615 * [misc]taylor: Taking taylor expansion of 2 in n 1537029892.615 * [misc]backup-simplify: Simplify 2 into 2 1537029892.615 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537029892.615 * [misc]taylor: Taking taylor expansion of n in n 1537029892.615 * [misc]backup-simplify: Simplify 0 into 0 1537029892.615 * [misc]backup-simplify: Simplify 1 into 1 1537029892.615 * [misc]taylor: Taking taylor expansion of PI in n 1537029892.615 * [misc]backup-simplify: Simplify PI into PI 1537029892.615 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537029892.615 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537029892.615 * [misc]backup-simplify: Simplify 0 into 0 1537029892.616 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537029892.617 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537029892.617 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537029892.619 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1537029892.620 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1537029892.620 * [misc]backup-simplify: Simplify 0 into 0 1537029892.621 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1537029892.623 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1537029892.623 * [misc]backup-simplify: Simplify 0 into 0 1537029892.625 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537029892.628 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1537029892.628 * [misc]backup-simplify: Simplify 0 into 0 1537029892.631 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537029892.634 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1537029892.634 * [misc]backup-simplify: Simplify 0 into 0 1537029892.637 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537029892.641 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1537029892.641 * [misc]backup-simplify: Simplify 0 into 0 1537029892.645 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1537029892.649 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1537029892.649 * [misc]backup-simplify: Simplify 0 into 0 1537029892.650 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1537029892.650 * [misc]backup-simplify: Simplify (* (* 2 (/ 1 n)) PI) into (* 2 (/ PI n)) 1537029892.650 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1537029892.650 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537029892.650 * [misc]taylor: Taking taylor expansion of 2 in n 1537029892.650 * [misc]backup-simplify: Simplify 2 into 2 1537029892.650 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537029892.650 * [misc]taylor: Taking taylor expansion of PI in n 1537029892.650 * [misc]backup-simplify: Simplify PI into PI 1537029892.650 * [misc]taylor: Taking taylor expansion of n in n 1537029892.650 * [misc]backup-simplify: Simplify 0 into 0 1537029892.650 * [misc]backup-simplify: Simplify 1 into 1 1537029892.651 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537029892.651 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537029892.651 * [misc]taylor: Taking taylor expansion of 2 in n 1537029892.651 * [misc]backup-simplify: Simplify 2 into 2 1537029892.651 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537029892.651 * [misc]taylor: Taking taylor expansion of PI in n 1537029892.651 * [misc]backup-simplify: Simplify PI into PI 1537029892.651 * [misc]taylor: Taking taylor expansion of n in n 1537029892.651 * [misc]backup-simplify: Simplify 0 into 0 1537029892.651 * [misc]backup-simplify: Simplify 1 into 1 1537029892.651 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537029892.651 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537029892.652 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537029892.653 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537029892.654 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537029892.654 * [misc]backup-simplify: Simplify 0 into 0 1537029892.655 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029892.656 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1537029892.656 * [misc]backup-simplify: Simplify 0 into 0 1537029892.659 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029892.660 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537029892.660 * [misc]backup-simplify: Simplify 0 into 0 1537029892.661 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029892.662 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537029892.662 * [misc]backup-simplify: Simplify 0 into 0 1537029892.664 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029892.667 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537029892.667 * [misc]backup-simplify: Simplify 0 into 0 1537029892.672 * [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 1537029892.676 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537029892.676 * [misc]backup-simplify: Simplify 0 into 0 1537029892.677 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1537029892.677 * [misc]backup-simplify: Simplify (* (* 2 (/ 1 (- n))) PI) into (* -2 (/ PI n)) 1537029892.677 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1537029892.677 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537029892.677 * [misc]taylor: Taking taylor expansion of -2 in n 1537029892.677 * [misc]backup-simplify: Simplify -2 into -2 1537029892.677 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537029892.677 * [misc]taylor: Taking taylor expansion of PI in n 1537029892.677 * [misc]backup-simplify: Simplify PI into PI 1537029892.677 * [misc]taylor: Taking taylor expansion of n in n 1537029892.677 * [misc]backup-simplify: Simplify 0 into 0 1537029892.677 * [misc]backup-simplify: Simplify 1 into 1 1537029892.677 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537029892.677 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537029892.678 * [misc]taylor: Taking taylor expansion of -2 in n 1537029892.678 * [misc]backup-simplify: Simplify -2 into -2 1537029892.678 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537029892.678 * [misc]taylor: Taking taylor expansion of PI in n 1537029892.678 * [misc]backup-simplify: Simplify PI into PI 1537029892.678 * [misc]taylor: Taking taylor expansion of n in n 1537029892.678 * [misc]backup-simplify: Simplify 0 into 0 1537029892.678 * [misc]backup-simplify: Simplify 1 into 1 1537029892.678 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537029892.678 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537029892.679 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537029892.680 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537029892.680 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537029892.681 * [misc]backup-simplify: Simplify 0 into 0 1537029892.682 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029892.683 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1537029892.683 * [misc]backup-simplify: Simplify 0 into 0 1537029892.685 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029892.687 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537029892.687 * [misc]backup-simplify: Simplify 0 into 0 1537029892.689 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029892.691 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537029892.691 * [misc]backup-simplify: Simplify 0 into 0 1537029892.693 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029892.696 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537029892.696 * [misc]backup-simplify: Simplify 0 into 0 1537029892.699 * [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 1537029892.702 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537029892.702 * [misc]backup-simplify: Simplify 0 into 0 1537029892.703 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1537029892.703 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) 1537029892.704 * [misc]backup-simplify: Simplify (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (* 2 n) PI))) into (* (/ 1 (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k))))) (sqrt (/ k (* n PI)))) 1537029892.704 * [misc]approximate: Taking taylor expansion of (* (/ 1 (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k))))) (sqrt (/ k (* n PI)))) in (k n) around 0 1537029892.704 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k))))) (sqrt (/ k (* n PI)))) in n 1537029892.704 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k))))) in n 1537029892.704 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) in n 1537029892.704 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537029892.704 * [misc]taylor: Taking taylor expansion of 2 in n 1537029892.704 * [misc]backup-simplify: Simplify 2 into 2 1537029892.704 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029892.704 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029892.704 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- (* 1/2 k))) in n 1537029892.704 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 (* n PI))))) in n 1537029892.704 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 (* n PI)))) in n 1537029892.705 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in n 1537029892.705 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1537029892.705 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537029892.705 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029892.705 * [misc]taylor: Taking taylor expansion of k in n 1537029892.705 * [misc]backup-simplify: Simplify k into k 1537029892.705 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1537029892.705 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537029892.705 * [misc]taylor: Taking taylor expansion of 2 in n 1537029892.705 * [misc]backup-simplify: Simplify 2 into 2 1537029892.705 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537029892.705 * [misc]taylor: Taking taylor expansion of n in n 1537029892.705 * [misc]backup-simplify: Simplify 0 into 0 1537029892.705 * [misc]backup-simplify: Simplify 1 into 1 1537029892.705 * [misc]taylor: Taking taylor expansion of PI in n 1537029892.705 * [misc]backup-simplify: Simplify PI into PI 1537029892.705 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537029892.705 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537029892.706 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537029892.707 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537029892.707 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537029892.708 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1537029892.708 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1537029892.708 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537029892.709 * [misc]backup-simplify: Simplify (* (- (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* -1/2 (* (+ (log n) (log (* 2 PI))) k)) 1537029892.710 * [misc]backup-simplify: Simplify (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) into (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) 1537029892.711 * [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)))) 1537029892.712 * [misc]backup-simplify: Simplify (/ 1 (* (sqrt 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) into (/ 1 (* (sqrt 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) 1537029892.712 * [misc]taylor: Taking taylor expansion of (sqrt (/ k (* n PI))) in n 1537029892.712 * [misc]taylor: Taking taylor expansion of (/ k (* n PI)) in n 1537029892.712 * [misc]taylor: Taking taylor expansion of k in n 1537029892.712 * [misc]backup-simplify: Simplify k into k 1537029892.712 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537029892.712 * [misc]taylor: Taking taylor expansion of n in n 1537029892.712 * [misc]backup-simplify: Simplify 0 into 0 1537029892.712 * [misc]backup-simplify: Simplify 1 into 1 1537029892.712 * [misc]taylor: Taking taylor expansion of PI in n 1537029892.712 * [misc]backup-simplify: Simplify PI into PI 1537029892.712 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537029892.713 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537029892.713 * [misc]backup-simplify: Simplify (/ k PI) into (/ k PI) 1537029892.713 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537029892.714 * [misc]backup-simplify: Simplify (/ (/ k PI) (* 2 (sqrt 0))) into (* +nan.0 (/ k PI)) 1537029892.714 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k))))) (sqrt (/ k (* n PI)))) in k 1537029892.714 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k))))) in k 1537029892.714 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) in k 1537029892.714 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537029892.714 * [misc]taylor: Taking taylor expansion of 2 in k 1537029892.714 * [misc]backup-simplify: Simplify 2 into 2 1537029892.714 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029892.715 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029892.715 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- (* 1/2 k))) in k 1537029892.715 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 (* n PI))))) in k 1537029892.715 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 (* n PI)))) in k 1537029892.715 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in k 1537029892.715 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1537029892.715 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537029892.715 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029892.715 * [misc]taylor: Taking taylor expansion of k in k 1537029892.715 * [misc]backup-simplify: Simplify 0 into 0 1537029892.715 * [misc]backup-simplify: Simplify 1 into 1 1537029892.715 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1537029892.715 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1537029892.715 * [misc]taylor: Taking taylor expansion of 2 in k 1537029892.715 * [misc]backup-simplify: Simplify 2 into 2 1537029892.715 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1537029892.715 * [misc]taylor: Taking taylor expansion of n in k 1537029892.715 * [misc]backup-simplify: Simplify n into n 1537029892.715 * [misc]taylor: Taking taylor expansion of PI in k 1537029892.715 * [misc]backup-simplify: Simplify PI into PI 1537029892.715 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1537029892.715 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1537029892.716 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1537029892.716 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1537029892.716 * [misc]backup-simplify: Simplify (- 0) into 0 1537029892.716 * [misc]backup-simplify: Simplify (* 0 (log (* 2 (* n PI)))) into 0 1537029892.716 * [misc]backup-simplify: Simplify (- 0) into 0 1537029892.717 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1537029892.717 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1537029892.718 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1537029892.719 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1537029892.719 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1537029892.719 * [misc]backup-simplify: Simplify (+ (* 0 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 1537029892.719 * [misc]backup-simplify: Simplify (exp 0) into 1 1537029892.720 * [misc]backup-simplify: Simplify (* (sqrt 2) 1) into (sqrt 2) 1537029892.720 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1537029892.720 * [misc]taylor: Taking taylor expansion of (sqrt (/ k (* n PI))) in k 1537029892.720 * [misc]taylor: Taking taylor expansion of (/ k (* n PI)) in k 1537029892.720 * [misc]taylor: Taking taylor expansion of k in k 1537029892.720 * [misc]backup-simplify: Simplify 0 into 0 1537029892.720 * [misc]backup-simplify: Simplify 1 into 1 1537029892.720 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1537029892.720 * [misc]taylor: Taking taylor expansion of n in k 1537029892.720 * [misc]backup-simplify: Simplify n into n 1537029892.720 * [misc]taylor: Taking taylor expansion of PI in k 1537029892.720 * [misc]backup-simplify: Simplify PI into PI 1537029892.720 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1537029892.720 * [misc]backup-simplify: Simplify (/ 1 (* n PI)) into (/ 1 (* n PI)) 1537029892.721 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537029892.721 * [misc]backup-simplify: Simplify (/ (/ 1 (* n PI)) (* 2 (sqrt 0))) into (/ +nan.0 (* n PI)) 1537029892.721 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k))))) (sqrt (/ k (* n PI)))) in k 1537029892.721 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k))))) in k 1537029892.721 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) in k 1537029892.721 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537029892.721 * [misc]taylor: Taking taylor expansion of 2 in k 1537029892.721 * [misc]backup-simplify: Simplify 2 into 2 1537029892.721 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029892.722 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029892.722 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- (* 1/2 k))) in k 1537029892.722 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 (* n PI))))) in k 1537029892.722 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 (* n PI)))) in k 1537029892.722 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in k 1537029892.722 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1537029892.722 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537029892.722 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029892.722 * [misc]taylor: Taking taylor expansion of k in k 1537029892.722 * [misc]backup-simplify: Simplify 0 into 0 1537029892.722 * [misc]backup-simplify: Simplify 1 into 1 1537029892.722 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1537029892.722 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1537029892.722 * [misc]taylor: Taking taylor expansion of 2 in k 1537029892.722 * [misc]backup-simplify: Simplify 2 into 2 1537029892.722 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1537029892.722 * [misc]taylor: Taking taylor expansion of n in k 1537029892.722 * [misc]backup-simplify: Simplify n into n 1537029892.722 * [misc]taylor: Taking taylor expansion of PI in k 1537029892.722 * [misc]backup-simplify: Simplify PI into PI 1537029892.722 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1537029892.722 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1537029892.722 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1537029892.723 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1537029892.723 * [misc]backup-simplify: Simplify (- 0) into 0 1537029892.723 * [misc]backup-simplify: Simplify (* 0 (log (* 2 (* n PI)))) into 0 1537029892.723 * [misc]backup-simplify: Simplify (- 0) into 0 1537029892.724 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1537029892.724 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1537029892.725 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1537029892.726 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1537029892.726 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1537029892.726 * [misc]backup-simplify: Simplify (+ (* 0 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 1537029892.726 * [misc]backup-simplify: Simplify (exp 0) into 1 1537029892.727 * [misc]backup-simplify: Simplify (* (sqrt 2) 1) into (sqrt 2) 1537029892.727 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1537029892.727 * [misc]taylor: Taking taylor expansion of (sqrt (/ k (* n PI))) in k 1537029892.727 * [misc]taylor: Taking taylor expansion of (/ k (* n PI)) in k 1537029892.727 * [misc]taylor: Taking taylor expansion of k in k 1537029892.727 * [misc]backup-simplify: Simplify 0 into 0 1537029892.727 * [misc]backup-simplify: Simplify 1 into 1 1537029892.727 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1537029892.727 * [misc]taylor: Taking taylor expansion of n in k 1537029892.727 * [misc]backup-simplify: Simplify n into n 1537029892.727 * [misc]taylor: Taking taylor expansion of PI in k 1537029892.727 * [misc]backup-simplify: Simplify PI into PI 1537029892.727 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1537029892.727 * [misc]backup-simplify: Simplify (/ 1 (* n PI)) into (/ 1 (* n PI)) 1537029892.728 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537029892.728 * [misc]backup-simplify: Simplify (/ (/ 1 (* n PI)) (* 2 (sqrt 0))) into (/ +nan.0 (* n PI)) 1537029892.728 * [misc]backup-simplify: Simplify (* (/ 1 (sqrt 2)) 0) into 0 1537029892.728 * [misc]taylor: Taking taylor expansion of 0 in n 1537029892.728 * [misc]backup-simplify: Simplify 0 into 0 1537029892.729 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (log (* 2 (* n PI)))) 1537029892.730 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* -1/2 (log (* 2 (* n PI))))) (* 0 1)) into (- (* 1/2 (* (sqrt 2) (log (* 2 (* n PI)))))) 1537029892.731 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ (- (* 1/2 (* (sqrt 2) (log (* 2 (* n PI)))))) (sqrt 2))))) into (* 1/2 (/ (log (* 2 (* n PI))) (sqrt 2))) 1537029892.732 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (/ +nan.0 (* n PI))) (* (* 1/2 (/ (log (* 2 (* n PI))) (sqrt 2))) 0)) into (- (* +nan.0 (/ 1 (* (sqrt 2) (* n PI))))) 1537029892.732 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (sqrt 2) (* n PI))))) in n 1537029892.732 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (sqrt 2) (* n PI)))) in n 1537029892.732 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537029892.732 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537029892.732 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (* n PI))) in n 1537029892.732 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* n PI)) in n 1537029892.732 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537029892.732 * [misc]taylor: Taking taylor expansion of 2 in n 1537029892.732 * [misc]backup-simplify: Simplify 2 into 2 1537029892.732 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029892.733 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029892.733 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537029892.733 * [misc]taylor: Taking taylor expansion of n in n 1537029892.733 * [misc]backup-simplify: Simplify 0 into 0 1537029892.733 * [misc]backup-simplify: Simplify 1 into 1 1537029892.733 * [misc]taylor: Taking taylor expansion of PI in n 1537029892.733 * [misc]backup-simplify: Simplify PI into PI 1537029892.733 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537029892.733 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1537029892.734 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537029892.735 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) PI) (* 0 0)) into (* (sqrt 2) PI) 1537029892.736 * [misc]backup-simplify: Simplify (/ 1 (* (sqrt 2) PI)) into (/ 1 (* (sqrt 2) PI)) 1537029892.737 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (* (sqrt 2) PI))) into (/ +nan.0 (* (sqrt 2) PI)) 1537029892.738 * [misc]backup-simplify: Simplify (- (/ +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) 1537029892.739 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) into (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) 1537029892.740 * [misc]backup-simplify: Simplify 0 into 0 1537029892.740 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1537029892.740 * [misc]backup-simplify: Simplify (- (/ 0 (* n PI)) (+ (* (/ 1 (* n PI)) (/ 0 (* n PI))))) into 0 1537029892.741 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ +nan.0 (* n PI)) 2) (+)) (* 2 0)) into (/ +nan.0 (* (pow n 2) (pow PI 2))) 1537029892.742 * [misc]backup-simplify: Simplify (- 0) into 0 1537029892.742 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1537029892.743 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 1537029892.746 * [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 1537029892.746 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1537029892.746 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1537029892.746 * [misc]backup-simplify: Simplify (- 0) into 0 1537029892.747 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 1537029892.749 * [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)) 1537029892.750 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1537029892.752 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* 1/8 (pow (log (* 2 (* n PI))) 2))) (+ (* 0 (* -1/2 (log (* 2 (* n PI))))) (* 0 1))) into (* 1/8 (* (sqrt 2) (pow (log (* 2 (* n PI))) 2))) 1537029892.757 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ (* 1/8 (* (sqrt 2) (pow (log (* 2 (* n PI))) 2))) (sqrt 2))) (* (* 1/2 (/ (log (* 2 (* n PI))) (sqrt 2))) (/ (- (* 1/2 (* (sqrt 2) (log (* 2 (* n PI)))))) (sqrt 2))))) into (* 1/8 (/ (pow (log (* 2 (* n PI))) 2) (sqrt 2))) 1537029892.760 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (/ +nan.0 (* (pow n 2) (pow PI 2)))) (+ (* (* 1/2 (/ (log (* 2 (* n PI))) (sqrt 2))) (/ +nan.0 (* n PI))) (* (* 1/8 (/ (pow (log (* 2 (* n PI))) 2) (sqrt 2))) 0))) into (- (+ (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 2) (pow PI 2))))) (- (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* n PI))))))) 1537029892.760 * [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 1537029892.760 * [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 1537029892.760 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 2) (pow PI 2))))) in n 1537029892.760 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537029892.760 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537029892.760 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (* (pow n 2) (pow PI 2)))) in n 1537029892.760 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow n 2) (pow PI 2))) in n 1537029892.760 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537029892.760 * [misc]taylor: Taking taylor expansion of 2 in n 1537029892.760 * [misc]backup-simplify: Simplify 2 into 2 1537029892.760 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029892.761 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029892.761 * [misc]taylor: Taking taylor expansion of (* (pow n 2) (pow PI 2)) in n 1537029892.761 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1537029892.761 * [misc]taylor: Taking taylor expansion of n in n 1537029892.761 * [misc]backup-simplify: Simplify 0 into 0 1537029892.761 * [misc]backup-simplify: Simplify 1 into 1 1537029892.761 * [misc]taylor: Taking taylor expansion of (pow PI 2) in n 1537029892.761 * [misc]taylor: Taking taylor expansion of PI in n 1537029892.761 * [misc]backup-simplify: Simplify PI into PI 1537029892.761 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537029892.761 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1537029892.762 * [misc]backup-simplify: Simplify (* 1 (pow PI 2)) into (pow PI 2) 1537029892.763 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2)) 1537029892.764 * [misc]backup-simplify: Simplify (/ 1 (* (sqrt 2) (pow PI 2))) into (/ 1 (* (sqrt 2) (pow PI 2))) 1537029892.764 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* n PI))))) in n 1537029892.764 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* n PI)))) in n 1537029892.764 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537029892.764 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537029892.764 * [misc]taylor: Taking taylor expansion of (/ (log (* 2 (* n PI))) (* (sqrt 2) (* n PI))) in n 1537029892.764 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1537029892.764 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537029892.764 * [misc]taylor: Taking taylor expansion of 2 in n 1537029892.764 * [misc]backup-simplify: Simplify 2 into 2 1537029892.764 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537029892.765 * [misc]taylor: Taking taylor expansion of n in n 1537029892.765 * [misc]backup-simplify: Simplify 0 into 0 1537029892.765 * [misc]backup-simplify: Simplify 1 into 1 1537029892.765 * [misc]taylor: Taking taylor expansion of PI in n 1537029892.765 * [misc]backup-simplify: Simplify PI into PI 1537029892.765 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537029892.765 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537029892.766 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537029892.767 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537029892.767 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537029892.767 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* n PI)) in n 1537029892.767 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537029892.767 * [misc]taylor: Taking taylor expansion of 2 in n 1537029892.767 * [misc]backup-simplify: Simplify 2 into 2 1537029892.767 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029892.768 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029892.768 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537029892.768 * [misc]taylor: Taking taylor expansion of n in n 1537029892.768 * [misc]backup-simplify: Simplify 0 into 0 1537029892.768 * [misc]backup-simplify: Simplify 1 into 1 1537029892.768 * [misc]taylor: Taking taylor expansion of PI in n 1537029892.768 * [misc]backup-simplify: Simplify PI into PI 1537029892.769 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537029892.769 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537029892.769 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1537029892.770 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537029892.771 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) PI) (* 0 0)) into (* (sqrt 2) PI) 1537029892.771 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537029892.772 * [misc]backup-simplify: Simplify (/ (+ (log n) (log (* 2 PI))) (* (sqrt 2) PI)) into (/ (+ (log n) (log (* 2 PI))) (* (sqrt 2) PI)) 1537029892.773 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 1537029892.774 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1537029892.775 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow PI 2))) into 0 1537029892.776 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 2))) into 0 1537029892.780 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) (pow PI 2))) (/ 0 (* (sqrt 2) (pow PI 2)))))) into 0 1537029892.783 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (* (sqrt 2) (pow PI 2))))) into 0 1537029892.784 * [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))) 1537029892.785 * [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)))))) 1537029892.787 * [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)))))) 1537029892.790 * [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)))))) 1537029892.793 * [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)))))) 1537029892.794 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1537029892.795 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1537029892.796 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 PI) (* 0 0))) into 0 1537029892.799 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) PI)) (/ 0 (* (sqrt 2) PI))))) into 0 1537029892.801 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (* (sqrt 2) PI)))) into 0 1537029892.801 * [misc]backup-simplify: Simplify (- 0) into 0 1537029892.801 * [misc]backup-simplify: Simplify 0 into 0 1537029892.801 * [misc]backup-simplify: Simplify 0 into 0 1537029892.802 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1537029892.803 * [misc]backup-simplify: Simplify (- (/ 0 (* n PI)) (+ (* (/ 1 (* n PI)) (/ 0 (* n PI))) (* 0 (/ 0 (* n PI))))) into 0 1537029892.804 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (/ +nan.0 (* n PI)) (/ +nan.0 (* (pow n 2) (pow PI 2))))))) (* 2 0)) into (/ +nan.0 (* (pow n 3) (pow PI 3))) 1537029892.804 * [misc]backup-simplify: Simplify (- 0) into 0 1537029892.806 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537029892.806 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 1537029892.811 * [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 1537029892.811 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1537029892.811 * [misc]backup-simplify: Simplify (- 0) into 0 1537029892.811 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1537029892.812 * [misc]backup-simplify: Simplify (- 0) into 0 1537029892.812 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0 1537029892.818 * [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)) 1537029892.818 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537029892.820 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* -1/48 (pow (log (* 2 (* n PI))) 3))) (+ (* 0 (* 1/8 (pow (log (* 2 (* n PI))) 2))) (+ (* 0 (* -1/2 (log (* 2 (* n PI))))) (* 0 1)))) into (- (* 1/48 (* (sqrt 2) (pow (log (* 2 (* n PI))) 3)))) 1537029892.828 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ (- (* 1/48 (* (sqrt 2) (pow (log (* 2 (* n PI))) 3)))) (sqrt 2))) (* (* 1/2 (/ (log (* 2 (* n PI))) (sqrt 2))) (/ (* 1/8 (* (sqrt 2) (pow (log (* 2 (* n PI))) 2))) (sqrt 2))) (* (* 1/8 (/ (pow (log (* 2 (* n PI))) 2) (sqrt 2))) (/ (- (* 1/2 (* (sqrt 2) (log (* 2 (* n PI)))))) (sqrt 2))))) into (* 1/48 (/ (pow (log (* 2 (* n PI))) 3) (sqrt 2))) 1537029892.835 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (/ +nan.0 (* (pow n 3) (pow PI 3)))) (+ (* (* 1/2 (/ (log (* 2 (* n PI))) (sqrt 2))) (/ +nan.0 (* (pow n 2) (pow PI 2)))) (+ (* (* 1/8 (/ (pow (log (* 2 (* n PI))) 2) (sqrt 2))) (/ +nan.0 (* n PI))) (* (* 1/48 (/ (pow (log (* 2 (* n PI))) 3) (sqrt 2))) 0)))) into (- (+ (* +nan.0 (/ (pow (log (* 2 (* n PI))) 2) (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 3) (pow PI 3))))) (- (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* (pow n 2) (pow PI 2)))))))))) 1537029892.836 * [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))))) (- (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* (pow n 2) (pow PI 2)))))))))) in n 1537029892.836 * [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))))) (- (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))) in n 1537029892.836 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (pow (log (* 2 (* n PI))) 2) (* (sqrt 2) (* n PI)))) in n 1537029892.836 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537029892.836 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537029892.836 * [misc]taylor: Taking taylor expansion of (/ (pow (log (* 2 (* n PI))) 2) (* (sqrt 2) (* n PI))) in n 1537029892.836 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n 1537029892.836 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1537029892.836 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537029892.836 * [misc]taylor: Taking taylor expansion of 2 in n 1537029892.836 * [misc]backup-simplify: Simplify 2 into 2 1537029892.836 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537029892.836 * [misc]taylor: Taking taylor expansion of n in n 1537029892.836 * [misc]backup-simplify: Simplify 0 into 0 1537029892.836 * [misc]backup-simplify: Simplify 1 into 1 1537029892.836 * [misc]taylor: Taking taylor expansion of PI in n 1537029892.836 * [misc]backup-simplify: Simplify PI into PI 1537029892.837 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537029892.837 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537029892.837 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537029892.838 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537029892.839 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537029892.839 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537029892.840 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* n PI)) in n 1537029892.840 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537029892.840 * [misc]taylor: Taking taylor expansion of 2 in n 1537029892.840 * [misc]backup-simplify: Simplify 2 into 2 1537029892.840 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029892.840 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029892.840 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537029892.840 * [misc]taylor: Taking taylor expansion of n in n 1537029892.840 * [misc]backup-simplify: Simplify 0 into 0 1537029892.840 * [misc]backup-simplify: Simplify 1 into 1 1537029892.840 * [misc]taylor: Taking taylor expansion of PI in n 1537029892.840 * [misc]backup-simplify: Simplify PI into PI 1537029892.841 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537029892.842 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537029892.843 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2) 1537029892.844 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537029892.844 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1537029892.845 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537029892.846 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) PI) (* 0 0)) into (* (sqrt 2) PI) 1537029892.847 * [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)) 1537029892.847 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 3) (pow PI 3))))) (- (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* (pow n 2) (pow PI 2)))))))) in n 1537029892.847 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 3) (pow PI 3))))) (- (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* (pow n 2) (pow PI 2))))))) in n 1537029892.847 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 3) (pow PI 3))))) in n 1537029892.847 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537029892.847 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537029892.847 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (* (pow n 3) (pow PI 3)))) in n 1537029892.847 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow n 3) (pow PI 3))) in n 1537029892.847 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537029892.847 * [misc]taylor: Taking taylor expansion of 2 in n 1537029892.847 * [misc]backup-simplify: Simplify 2 into 2 1537029892.848 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029892.848 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029892.848 * [misc]taylor: Taking taylor expansion of (* (pow n 3) (pow PI 3)) in n 1537029892.848 * [misc]taylor: Taking taylor expansion of (pow n 3) in n 1537029892.848 * [misc]taylor: Taking taylor expansion of n in n 1537029892.848 * [misc]backup-simplify: Simplify 0 into 0 1537029892.848 * [misc]backup-simplify: Simplify 1 into 1 1537029892.848 * [misc]taylor: Taking taylor expansion of (pow PI 3) in n 1537029892.848 * [misc]taylor: Taking taylor expansion of PI in n 1537029892.848 * [misc]backup-simplify: Simplify PI into PI 1537029892.848 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537029892.848 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537029892.849 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1537029892.850 * [misc]backup-simplify: Simplify (* PI (pow PI 2)) into (pow PI 3) 1537029892.850 * [misc]backup-simplify: Simplify (* 1 (pow PI 3)) into (pow PI 3) 1537029892.851 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 3)) into (* (sqrt 2) (pow PI 3)) 1537029892.852 * [misc]backup-simplify: Simplify (/ 1 (* (sqrt 2) (pow PI 3))) into (/ 1 (* (sqrt 2) (pow PI 3))) 1537029892.852 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* (pow n 2) (pow PI 2)))))) in n 1537029892.853 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* (pow n 2) (pow PI 2))))) in n 1537029892.853 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537029892.853 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537029892.853 * [misc]taylor: Taking taylor expansion of (/ (log (* 2 (* n PI))) (* (sqrt 2) (* (pow n 2) (pow PI 2)))) in n 1537029892.853 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1537029892.853 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537029892.853 * [misc]taylor: Taking taylor expansion of 2 in n 1537029892.853 * [misc]backup-simplify: Simplify 2 into 2 1537029892.853 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537029892.853 * [misc]taylor: Taking taylor expansion of n in n 1537029892.853 * [misc]backup-simplify: Simplify 0 into 0 1537029892.853 * [misc]backup-simplify: Simplify 1 into 1 1537029892.853 * [misc]taylor: Taking taylor expansion of PI in n 1537029892.853 * [misc]backup-simplify: Simplify PI into PI 1537029892.853 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537029892.853 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537029892.854 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537029892.855 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537029892.855 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537029892.855 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow n 2) (pow PI 2))) in n 1537029892.855 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537029892.855 * [misc]taylor: Taking taylor expansion of 2 in n 1537029892.856 * [misc]backup-simplify: Simplify 2 into 2 1537029892.856 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029892.856 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029892.856 * [misc]taylor: Taking taylor expansion of (* (pow n 2) (pow PI 2)) in n 1537029892.856 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1537029892.856 * [misc]taylor: Taking taylor expansion of n in n 1537029892.856 * [misc]backup-simplify: Simplify 0 into 0 1537029892.856 * [misc]backup-simplify: Simplify 1 into 1 1537029892.856 * [misc]taylor: Taking taylor expansion of (pow PI 2) in n 1537029892.856 * [misc]taylor: Taking taylor expansion of PI in n 1537029892.856 * [misc]backup-simplify: Simplify PI into PI 1537029892.857 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537029892.857 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537029892.858 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1537029892.858 * [misc]backup-simplify: Simplify (* 1 (pow PI 2)) into (pow PI 2) 1537029892.859 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2)) 1537029892.860 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537029892.861 * [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))) 1537029892.863 * [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))) 1537029892.864 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 1537029892.865 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 1537029892.867 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 1537029892.867 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1537029892.868 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1537029892.869 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (pow PI 2))) into 0 1537029892.869 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1537029892.869 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1537029892.871 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow PI 3)))) into 0 1537029892.872 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow PI 3))) into 0 1537029892.873 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1537029892.875 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (pow PI 3)))) into 0 1537029892.876 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 3))) into 0 1537029892.880 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) (pow PI 3))) (/ 0 (* (sqrt 2) (pow PI 3)))))) into 0 1537029892.885 * [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 1537029892.887 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (/ 1 (* (sqrt 2) (pow PI 3)))))) into 0 1537029892.888 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1537029892.889 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1537029892.891 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537029892.891 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 1537029892.891 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1537029892.892 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow PI 2))) into 0 1537029892.893 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 2))) into 0 1537029892.895 * [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 1537029892.897 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ (+ (log n) (log (* 2 PI))) (* (sqrt 2) (pow PI 2))))) into 0 1537029892.897 * [misc]backup-simplify: Simplify (- 0) into 0 1537029892.897 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537029892.897 * [misc]backup-simplify: Simplify (- 0) into 0 1537029892.899 * [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)))))))) 1537029892.904 * [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)))))))) 1537029892.909 * [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)))))))) 1537029892.922 * [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))))))))))))))) 1537029892.923 * [misc]backup-simplify: Simplify (/ (/ (sqrt (/ 1 k)) (pow (* PI (* (/ 1 n) 2)) (- (/ (/ 1 k) 2)))) (sqrt (* (* 2 (/ 1 n)) PI))) into (* (/ 1 (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))))) (sqrt (/ n (* PI k)))) 1537029892.923 * [misc]approximate: Taking taylor expansion of (* (/ 1 (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))))) (sqrt (/ n (* PI k)))) in (k n) around 0 1537029892.923 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))))) (sqrt (/ n (* PI k)))) in n 1537029892.923 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))))) in n 1537029892.923 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) in n 1537029892.923 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537029892.923 * [misc]taylor: Taking taylor expansion of 2 in n 1537029892.923 * [misc]backup-simplify: Simplify 2 into 2 1537029892.923 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029892.923 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029892.923 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) in n 1537029892.923 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1537029892.923 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1537029892.923 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in n 1537029892.923 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1537029892.923 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537029892.923 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029892.923 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1537029892.924 * [misc]taylor: Taking taylor expansion of k in n 1537029892.924 * [misc]backup-simplify: Simplify k into k 1537029892.924 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1537029892.924 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1537029892.924 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537029892.924 * [misc]taylor: Taking taylor expansion of 2 in n 1537029892.924 * [misc]backup-simplify: Simplify 2 into 2 1537029892.924 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537029892.924 * [misc]taylor: Taking taylor expansion of PI in n 1537029892.924 * [misc]backup-simplify: Simplify PI into PI 1537029892.924 * [misc]taylor: Taking taylor expansion of n in n 1537029892.924 * [misc]backup-simplify: Simplify 0 into 0 1537029892.924 * [misc]backup-simplify: Simplify 1 into 1 1537029892.924 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537029892.924 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537029892.925 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537029892.925 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1537029892.925 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1537029892.925 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537029892.926 * [misc]backup-simplify: Simplify (* (- (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1537029892.926 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537029892.927 * [misc]backup-simplify: Simplify (* (sqrt 2) (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) 1537029892.927 * [misc]backup-simplify: Simplify (/ 1 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2))) into (/ 1 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2))) 1537029892.927 * [misc]taylor: Taking taylor expansion of (sqrt (/ n (* PI k))) in n 1537029892.927 * [misc]taylor: Taking taylor expansion of (/ n (* PI k)) in n 1537029892.927 * [misc]taylor: Taking taylor expansion of n in n 1537029892.927 * [misc]backup-simplify: Simplify 0 into 0 1537029892.927 * [misc]backup-simplify: Simplify 1 into 1 1537029892.927 * [misc]taylor: Taking taylor expansion of (* PI k) in n 1537029892.927 * [misc]taylor: Taking taylor expansion of PI in n 1537029892.927 * [misc]backup-simplify: Simplify PI into PI 1537029892.927 * [misc]taylor: Taking taylor expansion of k in n 1537029892.927 * [misc]backup-simplify: Simplify k into k 1537029892.927 * [misc]backup-simplify: Simplify (* PI k) into (* PI k) 1537029892.928 * [misc]backup-simplify: Simplify (/ 1 (* PI k)) into (/ 1 (* PI k)) 1537029892.928 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537029892.928 * [misc]backup-simplify: Simplify (/ (/ 1 (* PI k)) (* 2 (sqrt 0))) into (/ +nan.0 (* PI k)) 1537029892.928 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))))) (sqrt (/ n (* PI k)))) in k 1537029892.928 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))))) in k 1537029892.928 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) in k 1537029892.928 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537029892.928 * [misc]taylor: Taking taylor expansion of 2 in k 1537029892.928 * [misc]backup-simplify: Simplify 2 into 2 1537029892.928 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029892.928 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029892.928 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) in k 1537029892.928 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1537029892.928 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1537029892.928 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in k 1537029892.928 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1537029892.928 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537029892.928 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029892.928 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1537029892.928 * [misc]taylor: Taking taylor expansion of k in k 1537029892.928 * [misc]backup-simplify: Simplify 0 into 0 1537029892.928 * [misc]backup-simplify: Simplify 1 into 1 1537029892.929 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1537029892.929 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1537029892.929 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1537029892.929 * [misc]taylor: Taking taylor expansion of 2 in k 1537029892.929 * [misc]backup-simplify: Simplify 2 into 2 1537029892.929 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1537029892.929 * [misc]taylor: Taking taylor expansion of PI in k 1537029892.929 * [misc]backup-simplify: Simplify PI into PI 1537029892.929 * [misc]taylor: Taking taylor expansion of n in k 1537029892.929 * [misc]backup-simplify: Simplify n into n 1537029892.929 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537029892.929 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1537029892.929 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1537029892.929 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1537029892.929 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1537029892.929 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1537029892.929 * [misc]backup-simplify: Simplify (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) 1537029892.930 * [misc]backup-simplify: Simplify (* (sqrt 2) (exp (* -1/2 (/ (log (* 2 (/ PI n))) k)))) into (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)) 1537029892.930 * [misc]backup-simplify: Simplify (/ 1 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2))) into (/ 1 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2))) 1537029892.930 * [misc]taylor: Taking taylor expansion of (sqrt (/ n (* PI k))) in k 1537029892.930 * [misc]taylor: Taking taylor expansion of (/ n (* PI k)) in k 1537029892.930 * [misc]taylor: Taking taylor expansion of n in k 1537029892.930 * [misc]backup-simplify: Simplify n into n 1537029892.930 * [misc]taylor: Taking taylor expansion of (* PI k) in k 1537029892.930 * [misc]taylor: Taking taylor expansion of PI in k 1537029892.930 * [misc]backup-simplify: Simplify PI into PI 1537029892.930 * [misc]taylor: Taking taylor expansion of k in k 1537029892.930 * [misc]backup-simplify: Simplify 0 into 0 1537029892.930 * [misc]backup-simplify: Simplify 1 into 1 1537029892.931 * [misc]backup-simplify: Simplify (* PI 0) into 0 1537029892.931 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1537029892.931 * [misc]backup-simplify: Simplify (/ n PI) into (/ n PI) 1537029892.931 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537029892.931 * [misc]backup-simplify: Simplify (/ (/ n PI) (* 2 (sqrt 0))) into (* +nan.0 (/ n PI)) 1537029892.931 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))))) (sqrt (/ n (* PI k)))) in k 1537029892.932 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))))) in k 1537029892.932 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) in k 1537029892.932 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537029892.932 * [misc]taylor: Taking taylor expansion of 2 in k 1537029892.932 * [misc]backup-simplify: Simplify 2 into 2 1537029892.932 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029892.932 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029892.932 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) in k 1537029892.932 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1537029892.932 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1537029892.932 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in k 1537029892.932 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1537029892.932 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537029892.932 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029892.932 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1537029892.932 * [misc]taylor: Taking taylor expansion of k in k 1537029892.932 * [misc]backup-simplify: Simplify 0 into 0 1537029892.932 * [misc]backup-simplify: Simplify 1 into 1 1537029892.932 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1537029892.932 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1537029892.932 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1537029892.932 * [misc]taylor: Taking taylor expansion of 2 in k 1537029892.932 * [misc]backup-simplify: Simplify 2 into 2 1537029892.932 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1537029892.932 * [misc]taylor: Taking taylor expansion of PI in k 1537029892.932 * [misc]backup-simplify: Simplify PI into PI 1537029892.932 * [misc]taylor: Taking taylor expansion of n in k 1537029892.932 * [misc]backup-simplify: Simplify n into n 1537029892.932 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537029892.933 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1537029892.933 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1537029892.933 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1537029892.933 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1537029892.933 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1537029892.935 * [misc]backup-simplify: Simplify (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) 1537029892.935 * [misc]backup-simplify: Simplify (* (sqrt 2) (exp (* -1/2 (/ (log (* 2 (/ PI n))) k)))) into (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)) 1537029892.936 * [misc]backup-simplify: Simplify (/ 1 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2))) into (/ 1 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2))) 1537029892.936 * [misc]taylor: Taking taylor expansion of (sqrt (/ n (* PI k))) in k 1537029892.936 * [misc]taylor: Taking taylor expansion of (/ n (* PI k)) in k 1537029892.936 * [misc]taylor: Taking taylor expansion of n in k 1537029892.936 * [misc]backup-simplify: Simplify n into n 1537029892.936 * [misc]taylor: Taking taylor expansion of (* PI k) in k 1537029892.936 * [misc]taylor: Taking taylor expansion of PI in k 1537029892.936 * [misc]backup-simplify: Simplify PI into PI 1537029892.936 * [misc]taylor: Taking taylor expansion of k in k 1537029892.936 * [misc]backup-simplify: Simplify 0 into 0 1537029892.936 * [misc]backup-simplify: Simplify 1 into 1 1537029892.936 * [misc]backup-simplify: Simplify (* PI 0) into 0 1537029892.936 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1537029892.937 * [misc]backup-simplify: Simplify (/ n PI) into (/ n PI) 1537029892.937 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537029892.937 * [misc]backup-simplify: Simplify (/ (/ n PI) (* 2 (sqrt 0))) into (* +nan.0 (/ n PI)) 1537029892.937 * [misc]backup-simplify: Simplify (* (/ 1 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2))) 0) into 0 1537029892.937 * [misc]taylor: Taking taylor expansion of 0 in n 1537029892.937 * [misc]backup-simplify: Simplify 0 into 0 1537029892.937 * [misc]backup-simplify: Simplify 0 into 0 1537029892.938 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))))) into 0 1537029892.938 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2))) (/ 0 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)))))) into 0 1537029892.939 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2))) (* +nan.0 (/ n PI))) (* 0 0)) into (- (* +nan.0 (/ n (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) PI))))) 1537029892.939 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ n (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) PI))))) in n 1537029892.939 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ n (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) PI)))) in n 1537029892.939 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537029892.939 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537029892.939 * [misc]taylor: Taking taylor expansion of (/ n (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) PI))) in n 1537029892.939 * [misc]taylor: Taking taylor expansion of n in n 1537029892.939 * [misc]backup-simplify: Simplify 0 into 0 1537029892.939 * [misc]backup-simplify: Simplify 1 into 1 1537029892.939 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) PI)) in n 1537029892.939 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) in n 1537029892.939 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (log (* 2 (/ PI n))) k)) in n 1537029892.939 * [misc]taylor: Taking taylor expansion of -1/2 in n 1537029892.939 * [misc]backup-simplify: Simplify -1/2 into -1/2 1537029892.939 * [misc]taylor: Taking taylor expansion of (/ (log (* 2 (/ PI n))) k) in n 1537029892.939 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1537029892.939 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537029892.939 * [misc]taylor: Taking taylor expansion of 2 in n 1537029892.939 * [misc]backup-simplify: Simplify 2 into 2 1537029892.939 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537029892.939 * [misc]taylor: Taking taylor expansion of PI in n 1537029892.939 * [misc]backup-simplify: Simplify PI into PI 1537029892.939 * [misc]taylor: Taking taylor expansion of n in n 1537029892.939 * [misc]backup-simplify: Simplify 0 into 0 1537029892.939 * [misc]backup-simplify: Simplify 1 into 1 1537029892.940 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537029892.940 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537029892.940 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537029892.940 * [misc]taylor: Taking taylor expansion of k in n 1537029892.940 * [misc]backup-simplify: Simplify k into k 1537029892.941 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537029892.941 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537029892.942 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) k) into (/ (- (log (* 2 PI)) (log n)) k) 1537029892.942 * [misc]backup-simplify: Simplify (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) into (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1537029892.943 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537029892.943 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) PI) in n 1537029892.943 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537029892.943 * [misc]taylor: Taking taylor expansion of 2 in n 1537029892.943 * [misc]backup-simplify: Simplify 2 into 2 1537029892.943 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029892.943 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029892.943 * [misc]taylor: Taking taylor expansion of PI in n 1537029892.943 * [misc]backup-simplify: Simplify PI into PI 1537029892.943 * [misc]backup-simplify: Simplify (* (sqrt 2) PI) into (* (sqrt 2) PI) 1537029892.944 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)) into (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI)) 1537029892.945 * [misc]backup-simplify: Simplify (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI))) into (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI))) 1537029892.945 * [misc]backup-simplify: Simplify 0 into 0 1537029892.945 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 1537029892.946 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ n PI) (/ 0 PI)))) into 0 1537029892.946 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (/ n PI)) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow n 2) (pow PI 2))) 1537029892.947 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1537029892.948 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (log (* 2 (/ PI n))) k)))))) into 0 1537029892.948 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2))) (/ 0 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)))))) into 0 1537029892.950 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2))) (* +nan.0 (/ (pow n 2) (pow PI 2)))) (+ (* 0 (* +nan.0 (/ n PI))) (* 0 0))) into (- (* +nan.0 (/ (pow n 2) (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 2)))))) 1537029892.950 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (pow n 2) (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 2)))))) in n 1537029892.950 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (pow n 2) (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 2))))) in n 1537029892.950 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537029892.950 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537029892.950 * [misc]taylor: Taking taylor expansion of (/ (pow n 2) (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 2)))) in n 1537029892.950 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1537029892.950 * [misc]taylor: Taking taylor expansion of n in n 1537029892.950 * [misc]backup-simplify: Simplify 0 into 0 1537029892.950 * [misc]backup-simplify: Simplify 1 into 1 1537029892.950 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 2))) in n 1537029892.950 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) in n 1537029892.950 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (log (* 2 (/ PI n))) k)) in n 1537029892.950 * [misc]taylor: Taking taylor expansion of -1/2 in n 1537029892.950 * [misc]backup-simplify: Simplify -1/2 into -1/2 1537029892.950 * [misc]taylor: Taking taylor expansion of (/ (log (* 2 (/ PI n))) k) in n 1537029892.950 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1537029892.950 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537029892.950 * [misc]taylor: Taking taylor expansion of 2 in n 1537029892.950 * [misc]backup-simplify: Simplify 2 into 2 1537029892.950 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537029892.950 * [misc]taylor: Taking taylor expansion of PI in n 1537029892.950 * [misc]backup-simplify: Simplify PI into PI 1537029892.950 * [misc]taylor: Taking taylor expansion of n in n 1537029892.950 * [misc]backup-simplify: Simplify 0 into 0 1537029892.950 * [misc]backup-simplify: Simplify 1 into 1 1537029892.950 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537029892.950 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537029892.951 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537029892.951 * [misc]taylor: Taking taylor expansion of k in n 1537029892.951 * [misc]backup-simplify: Simplify k into k 1537029892.951 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537029892.952 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537029892.953 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) k) into (/ (- (log (* 2 PI)) (log n)) k) 1537029892.953 * [misc]backup-simplify: Simplify (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) into (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1537029892.954 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537029892.954 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow PI 2)) in n 1537029892.954 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537029892.954 * [misc]taylor: Taking taylor expansion of 2 in n 1537029892.954 * [misc]backup-simplify: Simplify 2 into 2 1537029892.954 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029892.955 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029892.955 * [misc]taylor: Taking taylor expansion of (pow PI 2) in n 1537029892.955 * [misc]taylor: Taking taylor expansion of PI in n 1537029892.955 * [misc]backup-simplify: Simplify PI into PI 1537029892.955 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537029892.955 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1537029892.956 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2)) 1537029892.958 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 2))) into (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))) 1537029892.960 * [misc]backup-simplify: Simplify (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2)))) into (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2)))) 1537029892.961 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI)))) into (/ +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI))) 1537029892.962 * [misc]backup-simplify: Simplify (- (/ +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)))) into (- (* +nan.0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI))))) 1537029892.963 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI))))) into (- (* +nan.0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI))))) 1537029892.964 * [misc]backup-simplify: Simplify 0 into 0 1537029892.965 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1537029892.966 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ n PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 1537029892.968 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 (/ n PI)) (* +nan.0 (/ (pow n 2) (pow PI 2))))))) (* 2 0)) into (* +nan.0 (/ (pow n 3) (pow PI 3))) 1537029892.968 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537029892.969 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))))))) into 0 1537029892.971 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2))) (/ 0 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)))))) into 0 1537029892.974 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2))) (* +nan.0 (/ (pow n 3) (pow PI 3)))) (+ (* 0 (* +nan.0 (/ (pow n 2) (pow PI 2)))) (+ (* 0 (* +nan.0 (/ n PI))) (* 0 0)))) into (- (* +nan.0 (/ (pow n 3) (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 3)))))) 1537029892.974 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (pow n 3) (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 3)))))) in n 1537029892.974 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (pow n 3) (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 3))))) in n 1537029892.974 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537029892.974 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537029892.974 * [misc]taylor: Taking taylor expansion of (/ (pow n 3) (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 3)))) in n 1537029892.974 * [misc]taylor: Taking taylor expansion of (pow n 3) in n 1537029892.974 * [misc]taylor: Taking taylor expansion of n in n 1537029892.974 * [misc]backup-simplify: Simplify 0 into 0 1537029892.974 * [misc]backup-simplify: Simplify 1 into 1 1537029892.974 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 3))) in n 1537029892.974 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) in n 1537029892.974 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (log (* 2 (/ PI n))) k)) in n 1537029892.974 * [misc]taylor: Taking taylor expansion of -1/2 in n 1537029892.974 * [misc]backup-simplify: Simplify -1/2 into -1/2 1537029892.974 * [misc]taylor: Taking taylor expansion of (/ (log (* 2 (/ PI n))) k) in n 1537029892.974 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1537029892.974 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537029892.974 * [misc]taylor: Taking taylor expansion of 2 in n 1537029892.974 * [misc]backup-simplify: Simplify 2 into 2 1537029892.975 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537029892.975 * [misc]taylor: Taking taylor expansion of PI in n 1537029892.975 * [misc]backup-simplify: Simplify PI into PI 1537029892.975 * [misc]taylor: Taking taylor expansion of n in n 1537029892.975 * [misc]backup-simplify: Simplify 0 into 0 1537029892.975 * [misc]backup-simplify: Simplify 1 into 1 1537029892.975 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537029892.975 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537029892.976 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537029892.976 * [misc]taylor: Taking taylor expansion of k in n 1537029892.976 * [misc]backup-simplify: Simplify k into k 1537029892.977 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537029892.977 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537029892.978 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) k) into (/ (- (log (* 2 PI)) (log n)) k) 1537029892.979 * [misc]backup-simplify: Simplify (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) into (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1537029892.979 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537029892.979 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow PI 3)) in n 1537029892.980 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537029892.980 * [misc]taylor: Taking taylor expansion of 2 in n 1537029892.980 * [misc]backup-simplify: Simplify 2 into 2 1537029892.980 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029892.980 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029892.980 * [misc]taylor: Taking taylor expansion of (pow PI 3) in n 1537029892.980 * [misc]taylor: Taking taylor expansion of PI in n 1537029892.980 * [misc]backup-simplify: Simplify PI into PI 1537029892.980 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537029892.980 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537029892.981 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1537029892.982 * [misc]backup-simplify: Simplify (* PI (pow PI 2)) into (pow PI 3) 1537029892.982 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 3)) into (* (sqrt 2) (pow PI 3)) 1537029892.984 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 3))) into (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3))) 1537029892.986 * [misc]backup-simplify: Simplify (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3)))) into (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3)))) 1537029892.987 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 PI)) into 0 1537029892.988 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537029892.989 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537029892.992 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537029892.993 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log (* 2 PI)) (log n)) k) (/ 0 k)))) into 0 1537029892.994 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ (- (log (* 2 PI)) (log n)) k))) into 0 1537029892.995 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1537029892.997 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (* 0 (* (sqrt 2) PI))) into 0 1537029893.000 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI))) (+ (* (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI))) (/ 0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI)))))) into 0 1537029893.001 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI))))) into 0 1537029893.001 * [misc]backup-simplify: Simplify (- 0) into 0 1537029893.001 * [misc]backup-simplify: Simplify 0 into 0 1537029893.001 * [misc]backup-simplify: Simplify 0 into 0 1537029893.002 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1537029893.003 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ n PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 1537029893.004 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (/ (pow n 2) (pow PI 2))) 2) (+ (* 2 (* (* +nan.0 (/ n PI)) (* +nan.0 (/ (pow n 3) (pow PI 3))))))) (* 2 0)) into (* +nan.0 (/ (pow n 4) (pow PI 4))) 1537029893.005 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537029893.006 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (log (* 2 (/ PI n))) k)))))))) into 0 1537029893.008 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2))) (/ 0 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)))))) into 0 1537029893.010 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2))) (* +nan.0 (/ (pow n 4) (pow PI 4)))) (+ (* 0 (* +nan.0 (/ (pow n 3) (pow PI 3)))) (+ (* 0 (* +nan.0 (/ (pow n 2) (pow PI 2)))) (+ (* 0 (* +nan.0 (/ n PI))) (* 0 0))))) into (- (* +nan.0 (/ (pow n 4) (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 4)))))) 1537029893.010 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (pow n 4) (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 4)))))) in n 1537029893.010 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (pow n 4) (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 4))))) in n 1537029893.010 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537029893.010 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537029893.010 * [misc]taylor: Taking taylor expansion of (/ (pow n 4) (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 4)))) in n 1537029893.010 * [misc]taylor: Taking taylor expansion of (pow n 4) in n 1537029893.010 * [misc]taylor: Taking taylor expansion of n in n 1537029893.010 * [misc]backup-simplify: Simplify 0 into 0 1537029893.010 * [misc]backup-simplify: Simplify 1 into 1 1537029893.010 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 4))) in n 1537029893.010 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) in n 1537029893.010 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (log (* 2 (/ PI n))) k)) in n 1537029893.010 * [misc]taylor: Taking taylor expansion of -1/2 in n 1537029893.010 * [misc]backup-simplify: Simplify -1/2 into -1/2 1537029893.010 * [misc]taylor: Taking taylor expansion of (/ (log (* 2 (/ PI n))) k) in n 1537029893.010 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1537029893.010 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537029893.010 * [misc]taylor: Taking taylor expansion of 2 in n 1537029893.010 * [misc]backup-simplify: Simplify 2 into 2 1537029893.010 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537029893.010 * [misc]taylor: Taking taylor expansion of PI in n 1537029893.010 * [misc]backup-simplify: Simplify PI into PI 1537029893.010 * [misc]taylor: Taking taylor expansion of n in n 1537029893.010 * [misc]backup-simplify: Simplify 0 into 0 1537029893.010 * [misc]backup-simplify: Simplify 1 into 1 1537029893.010 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537029893.010 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537029893.011 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537029893.011 * [misc]taylor: Taking taylor expansion of k in n 1537029893.011 * [misc]backup-simplify: Simplify k into k 1537029893.011 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537029893.012 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537029893.012 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) k) into (/ (- (log (* 2 PI)) (log n)) k) 1537029893.013 * [misc]backup-simplify: Simplify (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) into (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1537029893.013 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537029893.013 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow PI 4)) in n 1537029893.013 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537029893.013 * [misc]taylor: Taking taylor expansion of 2 in n 1537029893.013 * [misc]backup-simplify: Simplify 2 into 2 1537029893.013 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029893.013 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029893.013 * [misc]taylor: Taking taylor expansion of (pow PI 4) in n 1537029893.013 * [misc]taylor: Taking taylor expansion of PI in n 1537029893.013 * [misc]backup-simplify: Simplify PI into PI 1537029893.013 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537029893.014 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537029893.014 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1537029893.014 * [misc]backup-simplify: Simplify (* (pow PI 2) (pow PI 2)) into (pow PI 4) 1537029893.015 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 4)) into (* (sqrt 2) (pow PI 4)) 1537029893.016 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 4))) into (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 4))) 1537029893.017 * [misc]backup-simplify: Simplify (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 4)))) into (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 4)))) 1537029893.018 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))))) into (/ +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 2)))) 1537029893.019 * [misc]backup-simplify: Simplify (- (/ +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2)))))) 1537029893.021 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2)))))) into (- (* +nan.0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2)))))) 1537029893.023 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1537029893.024 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 PI))) into 0 1537029893.026 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029893.027 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1537029893.033 * [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 1537029893.034 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log (* 2 PI)) (log n)) k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537029893.035 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ (- (log (* 2 PI)) (log n)) k)))) into 0 1537029893.037 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1537029893.040 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (+ (* 0 0) (* 0 (* (sqrt 2) PI)))) into 0 1537029893.046 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI))) (+ (* (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI))) (/ 0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI)))) (* 0 (/ 0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI)))))) into 0 1537029893.047 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI)))))) into 0 1537029893.048 * [misc]backup-simplify: Simplify (- 0) into 0 1537029893.048 * [misc]backup-simplify: Simplify 0 into 0 1537029893.048 * [misc]backup-simplify: Simplify 0 into 0 1537029893.049 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 1537029893.051 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ n PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 1537029893.054 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 (/ n PI)) (* +nan.0 (/ (pow n 4) (pow PI 4))))) (* 2 (* (* +nan.0 (/ (pow n 2) (pow PI 2))) (* +nan.0 (/ (pow n 3) (pow PI 3))))))) (* 2 0)) into (* +nan.0 (/ (pow n 5) (pow PI 5))) 1537029893.055 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537029893.056 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))))))))) into 0 1537029893.059 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2))) (/ 0 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)))))) into 0 1537029893.063 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2))) (* +nan.0 (/ (pow n 5) (pow PI 5)))) (+ (* 0 (* +nan.0 (/ (pow n 4) (pow PI 4)))) (+ (* 0 (* +nan.0 (/ (pow n 3) (pow PI 3)))) (+ (* 0 (* +nan.0 (/ (pow n 2) (pow PI 2)))) (+ (* 0 (* +nan.0 (/ n PI))) (* 0 0)))))) into (- (* +nan.0 (/ (pow n 5) (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 5)))))) 1537029893.063 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (pow n 5) (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 5)))))) in n 1537029893.063 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (pow n 5) (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 5))))) in n 1537029893.063 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537029893.063 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537029893.063 * [misc]taylor: Taking taylor expansion of (/ (pow n 5) (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 5)))) in n 1537029893.063 * [misc]taylor: Taking taylor expansion of (pow n 5) in n 1537029893.063 * [misc]taylor: Taking taylor expansion of n in n 1537029893.063 * [misc]backup-simplify: Simplify 0 into 0 1537029893.063 * [misc]backup-simplify: Simplify 1 into 1 1537029893.063 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 5))) in n 1537029893.064 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) in n 1537029893.064 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (log (* 2 (/ PI n))) k)) in n 1537029893.064 * [misc]taylor: Taking taylor expansion of -1/2 in n 1537029893.064 * [misc]backup-simplify: Simplify -1/2 into -1/2 1537029893.064 * [misc]taylor: Taking taylor expansion of (/ (log (* 2 (/ PI n))) k) in n 1537029893.064 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1537029893.064 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537029893.064 * [misc]taylor: Taking taylor expansion of 2 in n 1537029893.064 * [misc]backup-simplify: Simplify 2 into 2 1537029893.064 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537029893.064 * [misc]taylor: Taking taylor expansion of PI in n 1537029893.064 * [misc]backup-simplify: Simplify PI into PI 1537029893.064 * [misc]taylor: Taking taylor expansion of n in n 1537029893.064 * [misc]backup-simplify: Simplify 0 into 0 1537029893.064 * [misc]backup-simplify: Simplify 1 into 1 1537029893.064 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537029893.064 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537029893.065 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537029893.065 * [misc]taylor: Taking taylor expansion of k in n 1537029893.065 * [misc]backup-simplify: Simplify k into k 1537029893.066 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537029893.067 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537029893.067 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) k) into (/ (- (log (* 2 PI)) (log n)) k) 1537029893.068 * [misc]backup-simplify: Simplify (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) into (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1537029893.068 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537029893.069 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow PI 5)) in n 1537029893.069 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537029893.069 * [misc]taylor: Taking taylor expansion of 2 in n 1537029893.069 * [misc]backup-simplify: Simplify 2 into 2 1537029893.069 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029893.069 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029893.069 * [misc]taylor: Taking taylor expansion of (pow PI 5) in n 1537029893.069 * [misc]taylor: Taking taylor expansion of PI in n 1537029893.069 * [misc]backup-simplify: Simplify PI into PI 1537029893.069 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537029893.069 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537029893.070 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537029893.070 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1537029893.071 * [misc]backup-simplify: Simplify (* (pow PI 2) (pow PI 2)) into (pow PI 4) 1537029893.072 * [misc]backup-simplify: Simplify (* PI (pow PI 4)) into (pow PI 5) 1537029893.073 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 5)) into (* (sqrt 2) (pow PI 5)) 1537029893.074 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 5))) into (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 5))) 1537029893.075 * [misc]backup-simplify: Simplify (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 5)))) into (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 5)))) 1537029893.076 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1537029893.076 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 1537029893.077 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 2))) into 0 1537029893.078 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537029893.078 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537029893.080 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537029893.081 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log (* 2 PI)) (log n)) k) (/ 0 k)))) into 0 1537029893.081 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ (- (log (* 2 PI)) (log n)) k))) into 0 1537029893.082 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1537029893.083 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (* 0 (* (sqrt 2) (pow PI 2)))) into 0 1537029893.086 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2)))) (+ (* (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2)))) (/ 0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))))))) into 0 1537029893.087 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2)))))) into 0 1537029893.088 * [misc]backup-simplify: Simplify (- 0) into 0 1537029893.088 * [misc]backup-simplify: Simplify 0 into 0 1537029893.088 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537029893.089 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537029893.090 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029893.091 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537029893.097 * [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 1537029893.097 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log (* 2 PI)) (log n)) k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537029893.098 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (- (log (* 2 PI)) (log n)) k))))) into 0 1537029893.101 * [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 1537029893.102 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt 2) PI))))) into 0 1537029893.105 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI))) (+ (* (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI))) (/ 0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI)))) (* 0 (/ 0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI)))) (* 0 (/ 0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI)))))) into 0 1537029893.107 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI))))))) into 0 1537029893.107 * [misc]backup-simplify: Simplify (- 0) into 0 1537029893.107 * [misc]backup-simplify: Simplify 0 into 0 1537029893.107 * [misc]backup-simplify: Simplify 0 into 0 1537029893.108 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 1537029893.111 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ n PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 1537029893.116 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (/ (pow n 3) (pow PI 3))) 2) (+ (* 2 (* (* +nan.0 (/ n PI)) (* +nan.0 (/ (pow n 5) (pow PI 5))))) (* 2 (* (* +nan.0 (/ (pow n 2) (pow PI 2))) (* +nan.0 (/ (pow n 4) (pow PI 4))))))) (* 2 0)) into (* +nan.0 (/ (pow n 6) (pow PI 6))) 1537029893.118 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537029893.119 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (log (* 2 (/ PI n))) k)))))))))) into 0 1537029893.123 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2))) (/ 0 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)))))) into 0 1537029893.128 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2))) (* +nan.0 (/ (pow n 6) (pow PI 6)))) (+ (* 0 (* +nan.0 (/ (pow n 5) (pow PI 5)))) (+ (* 0 (* +nan.0 (/ (pow n 4) (pow PI 4)))) (+ (* 0 (* +nan.0 (/ (pow n 3) (pow PI 3)))) (+ (* 0 (* +nan.0 (/ (pow n 2) (pow PI 2)))) (+ (* 0 (* +nan.0 (/ n PI))) (* 0 0))))))) into (- (* +nan.0 (/ (pow n 6) (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 6)))))) 1537029893.128 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (pow n 6) (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 6)))))) in n 1537029893.128 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (pow n 6) (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 6))))) in n 1537029893.128 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537029893.128 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537029893.128 * [misc]taylor: Taking taylor expansion of (/ (pow n 6) (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 6)))) in n 1537029893.128 * [misc]taylor: Taking taylor expansion of (pow n 6) in n 1537029893.128 * [misc]taylor: Taking taylor expansion of n in n 1537029893.128 * [misc]backup-simplify: Simplify 0 into 0 1537029893.128 * [misc]backup-simplify: Simplify 1 into 1 1537029893.128 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 6))) in n 1537029893.128 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) in n 1537029893.128 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (log (* 2 (/ PI n))) k)) in n 1537029893.128 * [misc]taylor: Taking taylor expansion of -1/2 in n 1537029893.128 * [misc]backup-simplify: Simplify -1/2 into -1/2 1537029893.128 * [misc]taylor: Taking taylor expansion of (/ (log (* 2 (/ PI n))) k) in n 1537029893.128 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1537029893.128 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537029893.128 * [misc]taylor: Taking taylor expansion of 2 in n 1537029893.129 * [misc]backup-simplify: Simplify 2 into 2 1537029893.129 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537029893.129 * [misc]taylor: Taking taylor expansion of PI in n 1537029893.129 * [misc]backup-simplify: Simplify PI into PI 1537029893.129 * [misc]taylor: Taking taylor expansion of n in n 1537029893.129 * [misc]backup-simplify: Simplify 0 into 0 1537029893.129 * [misc]backup-simplify: Simplify 1 into 1 1537029893.129 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537029893.129 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537029893.130 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537029893.130 * [misc]taylor: Taking taylor expansion of k in n 1537029893.130 * [misc]backup-simplify: Simplify k into k 1537029893.131 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537029893.132 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537029893.132 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) k) into (/ (- (log (* 2 PI)) (log n)) k) 1537029893.133 * [misc]backup-simplify: Simplify (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) into (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1537029893.134 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537029893.134 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow PI 6)) in n 1537029893.134 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537029893.134 * [misc]taylor: Taking taylor expansion of 2 in n 1537029893.134 * [misc]backup-simplify: Simplify 2 into 2 1537029893.134 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029893.134 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029893.134 * [misc]taylor: Taking taylor expansion of (pow PI 6) in n 1537029893.134 * [misc]taylor: Taking taylor expansion of PI in n 1537029893.134 * [misc]backup-simplify: Simplify PI into PI 1537029893.135 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537029893.135 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537029893.135 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537029893.135 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1537029893.136 * [misc]backup-simplify: Simplify (* PI (pow PI 2)) into (pow PI 3) 1537029893.137 * [misc]backup-simplify: Simplify (* (pow PI 3) (pow PI 3)) into (pow PI 6) 1537029893.138 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 6)) into (* (sqrt 2) (pow PI 6)) 1537029893.139 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 6))) into (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 6))) 1537029893.141 * [misc]backup-simplify: Simplify (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 6)))) into (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 6)))) 1537029893.142 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3))))) into (/ +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 3)))) 1537029893.143 * [misc]backup-simplify: Simplify (- (/ +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 3))))) into (- (* +nan.0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3)))))) 1537029893.146 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3)))))) into (- (* +nan.0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3)))))) 1537029893.150 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k)))) (pow PI 3)))))) (* (pow (/ 1 n) 3) (pow (/ 1 k) 2))) (+ (* (- (* +nan.0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k)))) (pow PI 2)))))) (* (pow (/ 1 n) 2) (/ 1 k))) (* (- (* +nan.0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k)))) PI))))) (* (/ 1 n) 1)))) into (- (+ (* +nan.0 (/ 1 (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (* (pow n 3) (* (pow PI 3) (pow k 2))))))) (- (+ (* +nan.0 (/ 1 (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (* n PI))))) (- (* +nan.0 (/ 1 (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (* (pow n 2) (* (pow PI 2) k))))))))))) 1537029893.150 * [misc]backup-simplify: Simplify (/ (/ (sqrt (/ 1 (- k))) (pow (* PI (* (/ 1 (- n)) 2)) (- (/ (/ 1 (- k)) 2)))) (sqrt (* (* 2 (/ 1 (- n))) PI))) into (/ (sqrt (/ -1 k)) (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))))) 1537029893.150 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))))) in (k n) around 0 1537029893.150 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))))) in n 1537029893.150 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1537029893.150 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1537029893.150 * [misc]taylor: Taking taylor expansion of -1 in n 1537029893.150 * [misc]backup-simplify: Simplify -1 into -1 1537029893.150 * [misc]taylor: Taking taylor expansion of k in n 1537029893.150 * [misc]backup-simplify: Simplify k into k 1537029893.150 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1537029893.150 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1537029893.151 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1537029893.151 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1537029893.151 * [misc]taylor: Taking taylor expansion of (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) in n 1537029893.151 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1537029893.151 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537029893.151 * [misc]taylor: Taking taylor expansion of -2 in n 1537029893.151 * [misc]backup-simplify: Simplify -2 into -2 1537029893.151 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537029893.151 * [misc]taylor: Taking taylor expansion of PI in n 1537029893.151 * [misc]backup-simplify: Simplify PI into PI 1537029893.151 * [misc]taylor: Taking taylor expansion of n in n 1537029893.151 * [misc]backup-simplify: Simplify 0 into 0 1537029893.151 * [misc]backup-simplify: Simplify 1 into 1 1537029893.151 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537029893.151 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537029893.151 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537029893.152 * [misc]backup-simplify: Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1537029893.152 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) in n 1537029893.152 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) in n 1537029893.152 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n)))) in n 1537029893.152 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1537029893.152 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537029893.152 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029893.152 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1537029893.152 * [misc]taylor: Taking taylor expansion of k in n 1537029893.152 * [misc]backup-simplify: Simplify k into k 1537029893.152 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1537029893.152 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1537029893.152 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537029893.152 * [misc]taylor: Taking taylor expansion of -2 in n 1537029893.152 * [misc]backup-simplify: Simplify -2 into -2 1537029893.152 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537029893.152 * [misc]taylor: Taking taylor expansion of PI in n 1537029893.152 * [misc]backup-simplify: Simplify PI into PI 1537029893.152 * [misc]taylor: Taking taylor expansion of n in n 1537029893.152 * [misc]backup-simplify: Simplify 0 into 0 1537029893.152 * [misc]backup-simplify: Simplify 1 into 1 1537029893.152 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537029893.153 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537029893.153 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537029893.153 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1537029893.154 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537029893.154 * [misc]backup-simplify: Simplify (* (/ 1/2 k) (- (log (* -2 PI)) (log n))) into (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) 1537029893.154 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1537029893.155 * [misc]backup-simplify: Simplify (* 0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) into 0 1537029893.156 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537029893.156 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537029893.158 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1537029893.158 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1537029893.158 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1537029893.159 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537029893.159 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1537029893.161 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1537029893.161 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (* +nan.0 PI) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1537029893.162 * [misc]backup-simplify: Simplify (/ (sqrt (/ -1 k)) (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))))) into (* +nan.0 (/ (sqrt (/ -1 k)) (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1537029893.162 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))))) in k 1537029893.162 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1537029893.162 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1537029893.162 * [misc]taylor: Taking taylor expansion of -1 in k 1537029893.162 * [misc]backup-simplify: Simplify -1 into -1 1537029893.162 * [misc]taylor: Taking taylor expansion of k in k 1537029893.162 * [misc]backup-simplify: Simplify 0 into 0 1537029893.162 * [misc]backup-simplify: Simplify 1 into 1 1537029893.162 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1537029893.162 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537029893.163 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1537029893.163 * [misc]taylor: Taking taylor expansion of (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) in k 1537029893.163 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in k 1537029893.163 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1537029893.163 * [misc]taylor: Taking taylor expansion of -2 in k 1537029893.163 * [misc]backup-simplify: Simplify -2 into -2 1537029893.163 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1537029893.163 * [misc]taylor: Taking taylor expansion of PI in k 1537029893.163 * [misc]backup-simplify: Simplify PI into PI 1537029893.163 * [misc]taylor: Taking taylor expansion of n in k 1537029893.163 * [misc]backup-simplify: Simplify n into n 1537029893.163 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537029893.163 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1537029893.163 * [misc]backup-simplify: Simplify (sqrt (* -2 (/ PI n))) into (sqrt (* -2 (/ PI n))) 1537029893.163 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 1537029893.163 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (/ PI n))) into 0 1537029893.164 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* -2 (/ PI n))))) into 0 1537029893.164 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) in k 1537029893.164 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) in k 1537029893.164 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n)))) in k 1537029893.164 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1537029893.164 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537029893.164 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029893.164 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1537029893.164 * [misc]taylor: Taking taylor expansion of k in k 1537029893.164 * [misc]backup-simplify: Simplify 0 into 0 1537029893.164 * [misc]backup-simplify: Simplify 1 into 1 1537029893.164 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1537029893.164 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1537029893.164 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1537029893.164 * [misc]taylor: Taking taylor expansion of -2 in k 1537029893.164 * [misc]backup-simplify: Simplify -2 into -2 1537029893.164 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1537029893.164 * [misc]taylor: Taking taylor expansion of PI in k 1537029893.164 * [misc]backup-simplify: Simplify PI into PI 1537029893.164 * [misc]taylor: Taking taylor expansion of n in k 1537029893.164 * [misc]backup-simplify: Simplify n into n 1537029893.164 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537029893.164 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1537029893.164 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1537029893.164 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1537029893.164 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1537029893.165 * [misc]backup-simplify: Simplify (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))) 1537029893.165 * [misc]backup-simplify: Simplify (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))) into (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))) 1537029893.165 * [misc]backup-simplify: Simplify (/ +nan.0 (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))))) into (/ +nan.0 (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))))) 1537029893.165 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))))) in k 1537029893.165 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1537029893.165 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1537029893.165 * [misc]taylor: Taking taylor expansion of -1 in k 1537029893.165 * [misc]backup-simplify: Simplify -1 into -1 1537029893.165 * [misc]taylor: Taking taylor expansion of k in k 1537029893.165 * [misc]backup-simplify: Simplify 0 into 0 1537029893.165 * [misc]backup-simplify: Simplify 1 into 1 1537029893.165 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1537029893.165 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537029893.166 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1537029893.166 * [misc]taylor: Taking taylor expansion of (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) in k 1537029893.166 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in k 1537029893.166 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1537029893.166 * [misc]taylor: Taking taylor expansion of -2 in k 1537029893.166 * [misc]backup-simplify: Simplify -2 into -2 1537029893.166 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1537029893.166 * [misc]taylor: Taking taylor expansion of PI in k 1537029893.166 * [misc]backup-simplify: Simplify PI into PI 1537029893.166 * [misc]taylor: Taking taylor expansion of n in k 1537029893.166 * [misc]backup-simplify: Simplify n into n 1537029893.166 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537029893.166 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1537029893.166 * [misc]backup-simplify: Simplify (sqrt (* -2 (/ PI n))) into (sqrt (* -2 (/ PI n))) 1537029893.166 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 1537029893.166 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (/ PI n))) into 0 1537029893.167 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* -2 (/ PI n))))) into 0 1537029893.167 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) in k 1537029893.167 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) in k 1537029893.167 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n)))) in k 1537029893.167 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1537029893.167 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537029893.167 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029893.167 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1537029893.167 * [misc]taylor: Taking taylor expansion of k in k 1537029893.167 * [misc]backup-simplify: Simplify 0 into 0 1537029893.167 * [misc]backup-simplify: Simplify 1 into 1 1537029893.167 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1537029893.167 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1537029893.167 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1537029893.167 * [misc]taylor: Taking taylor expansion of -2 in k 1537029893.167 * [misc]backup-simplify: Simplify -2 into -2 1537029893.167 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1537029893.167 * [misc]taylor: Taking taylor expansion of PI in k 1537029893.167 * [misc]backup-simplify: Simplify PI into PI 1537029893.167 * [misc]taylor: Taking taylor expansion of n in k 1537029893.167 * [misc]backup-simplify: Simplify n into n 1537029893.167 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537029893.167 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1537029893.167 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1537029893.168 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1537029893.168 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1537029893.168 * [misc]backup-simplify: Simplify (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))) 1537029893.168 * [misc]backup-simplify: Simplify (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))) into (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))) 1537029893.169 * [misc]backup-simplify: Simplify (/ +nan.0 (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))))) into (/ +nan.0 (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))))) 1537029893.169 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))))) in n 1537029893.169 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537029893.169 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537029893.169 * [misc]taylor: Taking taylor expansion of (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))) in n 1537029893.169 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1537029893.169 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537029893.169 * [misc]taylor: Taking taylor expansion of -2 in n 1537029893.169 * [misc]backup-simplify: Simplify -2 into -2 1537029893.169 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537029893.169 * [misc]taylor: Taking taylor expansion of PI in n 1537029893.169 * [misc]backup-simplify: Simplify PI into PI 1537029893.169 * [misc]taylor: Taking taylor expansion of n in n 1537029893.169 * [misc]backup-simplify: Simplify 0 into 0 1537029893.169 * [misc]backup-simplify: Simplify 1 into 1 1537029893.170 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537029893.170 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537029893.170 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537029893.171 * [misc]backup-simplify: Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1537029893.171 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))) in n 1537029893.171 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (log (* -2 (/ PI n))) k)) in n 1537029893.171 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537029893.171 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029893.171 * [misc]taylor: Taking taylor expansion of (/ (log (* -2 (/ PI n))) k) in n 1537029893.171 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1537029893.171 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537029893.171 * [misc]taylor: Taking taylor expansion of -2 in n 1537029893.171 * [misc]backup-simplify: Simplify -2 into -2 1537029893.171 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537029893.171 * [misc]taylor: Taking taylor expansion of PI in n 1537029893.171 * [misc]backup-simplify: Simplify PI into PI 1537029893.171 * [misc]taylor: Taking taylor expansion of n in n 1537029893.171 * [misc]backup-simplify: Simplify 0 into 0 1537029893.172 * [misc]backup-simplify: Simplify 1 into 1 1537029893.172 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537029893.172 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537029893.173 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537029893.173 * [misc]taylor: Taking taylor expansion of k in n 1537029893.173 * [misc]backup-simplify: Simplify k into k 1537029893.173 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537029893.174 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537029893.175 * [misc]backup-simplify: Simplify (/ (- (log (* -2 PI)) (log n)) k) into (/ (- (log (* -2 PI)) (log n)) k) 1537029893.176 * [misc]backup-simplify: Simplify (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) into (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) 1537029893.176 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1537029893.177 * [misc]backup-simplify: Simplify (* 0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) into 0 1537029893.178 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537029893.179 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537029893.182 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1537029893.183 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log (* -2 PI)) (log n)) k) (/ 0 k)))) into 0 1537029893.184 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ (- (log (* -2 PI)) (log n)) k))) into 0 1537029893.185 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1537029893.187 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (* +nan.0 PI) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1537029893.188 * [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))))) 1537029893.189 * [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))))) 1537029893.189 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1537029893.190 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1537029893.191 * [misc]backup-simplify: Simplify (+ (* (sqrt (* -2 (/ PI n))) 0) (* 0 (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))))) into 0 1537029893.193 * [misc]backup-simplify: Simplify (- (/ +nan.0 (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))))) (+ (* (/ +nan.0 (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))))) (/ 0 (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))))))) into (- (* +nan.0 (/ 1 (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))))))) 1537029893.193 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))))))) in n 1537029893.193 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))))) in n 1537029893.193 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537029893.193 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537029893.193 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))))) in n 1537029893.193 * [misc]taylor: Taking taylor expansion of (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))) in n 1537029893.193 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1537029893.193 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537029893.193 * [misc]taylor: Taking taylor expansion of -2 in n 1537029893.193 * [misc]backup-simplify: Simplify -2 into -2 1537029893.193 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537029893.193 * [misc]taylor: Taking taylor expansion of PI in n 1537029893.193 * [misc]backup-simplify: Simplify PI into PI 1537029893.193 * [misc]taylor: Taking taylor expansion of n in n 1537029893.193 * [misc]backup-simplify: Simplify 0 into 0 1537029893.193 * [misc]backup-simplify: Simplify 1 into 1 1537029893.194 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537029893.194 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537029893.194 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537029893.195 * [misc]backup-simplify: Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1537029893.195 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))) in n 1537029893.195 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (log (* -2 (/ PI n))) k)) in n 1537029893.195 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537029893.195 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029893.195 * [misc]taylor: Taking taylor expansion of (/ (log (* -2 (/ PI n))) k) in n 1537029893.195 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1537029893.195 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537029893.195 * [misc]taylor: Taking taylor expansion of -2 in n 1537029893.195 * [misc]backup-simplify: Simplify -2 into -2 1537029893.195 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537029893.195 * [misc]taylor: Taking taylor expansion of PI in n 1537029893.195 * [misc]backup-simplify: Simplify PI into PI 1537029893.195 * [misc]taylor: Taking taylor expansion of n in n 1537029893.196 * [misc]backup-simplify: Simplify 0 into 0 1537029893.196 * [misc]backup-simplify: Simplify 1 into 1 1537029893.196 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537029893.196 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537029893.197 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537029893.197 * [misc]taylor: Taking taylor expansion of k in n 1537029893.197 * [misc]backup-simplify: Simplify k into k 1537029893.197 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537029893.198 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537029893.199 * [misc]backup-simplify: Simplify (/ (- (log (* -2 PI)) (log n)) k) into (/ (- (log (* -2 PI)) (log n)) k) 1537029893.200 * [misc]backup-simplify: Simplify (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) into (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) 1537029893.200 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1537029893.201 * [misc]backup-simplify: Simplify (* 0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) into 0 1537029893.202 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537029893.203 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537029893.206 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1537029893.207 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log (* -2 PI)) (log n)) k) (/ 0 k)))) into 0 1537029893.207 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ (- (log (* -2 PI)) (log n)) k))) into 0 1537029893.209 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1537029893.210 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (* +nan.0 PI) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1537029893.211 * [misc]backup-simplify: Simplify (/ 1 (- (* +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))))) 1537029893.212 * [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))))) 1537029893.213 * [misc]backup-simplify: Simplify (- (/ +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ 1 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))))) 1537029893.214 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))))) into (- (* +nan.0 (/ 1 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))))) 1537029893.216 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029893.217 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1537029893.223 * [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 1537029893.223 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log (* -2 PI)) (log n)) k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537029893.224 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ (- (log (* -2 PI)) (log n)) k)))) into 0 1537029893.227 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1537029893.228 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537029893.229 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537029893.230 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1537029893.233 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (* +nan.0 PI) 0) (* (* +nan.0 (pow PI 2)) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (- (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1537029893.237 * [misc]backup-simplify: Simplify (- (/ 0 (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))))) (+ (* (/ +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (/ (- (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1537029893.237 * [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)))))) 1537029893.239 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* 1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k)))))))) (* (/ 1 (- n)) 1)) (+ (* (- (* +nan.0 (/ 1 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k))))))))) (* 1 (/ 1 (- k)))) (/ +nan.0 (* PI (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))) n))) (- (+ (* +nan.0 (/ 1 (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) PI))) (- (* +nan.0 (/ 1 (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) (* PI k))))))))) 1537029893.240 * * * * [misc]progress: [ 4 / 4 ] generating series at (2) 1537029893.240 * [misc]backup-simplify: Simplify (/ 1 (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (* 2 n) PI)))) into (* (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) (sqrt (/ (* n PI) k))) 1537029893.240 * [misc]approximate: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) (sqrt (/ (* n PI) k))) in (k n) around 0 1537029893.240 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) (sqrt (/ (* n PI) k))) in n 1537029893.240 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) in n 1537029893.240 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537029893.240 * [misc]taylor: Taking taylor expansion of 2 in n 1537029893.240 * [misc]backup-simplify: Simplify 2 into 2 1537029893.240 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029893.240 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029893.241 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- (* 1/2 k))) in n 1537029893.241 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 (* n PI))))) in n 1537029893.241 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 (* n PI)))) in n 1537029893.241 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in n 1537029893.241 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1537029893.241 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537029893.241 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029893.241 * [misc]taylor: Taking taylor expansion of k in n 1537029893.241 * [misc]backup-simplify: Simplify k into k 1537029893.241 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1537029893.241 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537029893.241 * [misc]taylor: Taking taylor expansion of 2 in n 1537029893.241 * [misc]backup-simplify: Simplify 2 into 2 1537029893.241 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537029893.241 * [misc]taylor: Taking taylor expansion of n in n 1537029893.241 * [misc]backup-simplify: Simplify 0 into 0 1537029893.241 * [misc]backup-simplify: Simplify 1 into 1 1537029893.241 * [misc]taylor: Taking taylor expansion of PI in n 1537029893.241 * [misc]backup-simplify: Simplify PI into PI 1537029893.241 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537029893.241 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537029893.242 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537029893.242 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537029893.242 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537029893.242 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1537029893.242 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1537029893.243 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537029893.244 * [misc]backup-simplify: Simplify (* (- (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* -1/2 (* (+ (log n) (log (* 2 PI))) k)) 1537029893.244 * [misc]backup-simplify: Simplify (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) into (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) 1537029893.244 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* n PI) k)) in n 1537029893.244 * [misc]taylor: Taking taylor expansion of (/ (* n PI) k) in n 1537029893.244 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537029893.244 * [misc]taylor: Taking taylor expansion of n in n 1537029893.244 * [misc]backup-simplify: Simplify 0 into 0 1537029893.244 * [misc]backup-simplify: Simplify 1 into 1 1537029893.244 * [misc]taylor: Taking taylor expansion of PI in n 1537029893.244 * [misc]backup-simplify: Simplify PI into PI 1537029893.244 * [misc]taylor: Taking taylor expansion of k in n 1537029893.244 * [misc]backup-simplify: Simplify k into k 1537029893.244 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537029893.245 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537029893.245 * [misc]backup-simplify: Simplify (/ PI k) into (/ PI k) 1537029893.245 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537029893.245 * [misc]backup-simplify: Simplify (/ (/ PI k) (* 2 (sqrt 0))) into (* +nan.0 (/ PI k)) 1537029893.245 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) (sqrt (/ (* n PI) k))) in k 1537029893.245 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) in k 1537029893.245 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537029893.245 * [misc]taylor: Taking taylor expansion of 2 in k 1537029893.245 * [misc]backup-simplify: Simplify 2 into 2 1537029893.245 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029893.246 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029893.246 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- (* 1/2 k))) in k 1537029893.246 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 (* n PI))))) in k 1537029893.246 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 (* n PI)))) in k 1537029893.246 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in k 1537029893.246 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1537029893.246 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537029893.246 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029893.246 * [misc]taylor: Taking taylor expansion of k in k 1537029893.246 * [misc]backup-simplify: Simplify 0 into 0 1537029893.246 * [misc]backup-simplify: Simplify 1 into 1 1537029893.246 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1537029893.246 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1537029893.246 * [misc]taylor: Taking taylor expansion of 2 in k 1537029893.246 * [misc]backup-simplify: Simplify 2 into 2 1537029893.246 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1537029893.246 * [misc]taylor: Taking taylor expansion of n in k 1537029893.246 * [misc]backup-simplify: Simplify n into n 1537029893.246 * [misc]taylor: Taking taylor expansion of PI in k 1537029893.246 * [misc]backup-simplify: Simplify PI into PI 1537029893.246 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1537029893.246 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1537029893.246 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1537029893.246 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1537029893.246 * [misc]backup-simplify: Simplify (- 0) into 0 1537029893.246 * [misc]backup-simplify: Simplify (* 0 (log (* 2 (* n PI)))) into 0 1537029893.247 * [misc]backup-simplify: Simplify (- 0) into 0 1537029893.247 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1537029893.247 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1537029893.248 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1537029893.248 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1537029893.248 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1537029893.248 * [misc]backup-simplify: Simplify (+ (* 0 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 1537029893.248 * [misc]backup-simplify: Simplify (exp 0) into 1 1537029893.248 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* n PI) k)) in k 1537029893.248 * [misc]taylor: Taking taylor expansion of (/ (* n PI) k) in k 1537029893.248 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1537029893.248 * [misc]taylor: Taking taylor expansion of n in k 1537029893.248 * [misc]backup-simplify: Simplify n into n 1537029893.248 * [misc]taylor: Taking taylor expansion of PI in k 1537029893.248 * [misc]backup-simplify: Simplify PI into PI 1537029893.248 * [misc]taylor: Taking taylor expansion of k in k 1537029893.248 * [misc]backup-simplify: Simplify 0 into 0 1537029893.248 * [misc]backup-simplify: Simplify 1 into 1 1537029893.249 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1537029893.249 * [misc]backup-simplify: Simplify (/ (* n PI) 1) into (* n PI) 1537029893.249 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537029893.249 * [misc]backup-simplify: Simplify (/ (* n PI) (* 2 (sqrt 0))) into (* +nan.0 (* n PI)) 1537029893.249 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) (sqrt (/ (* n PI) k))) in k 1537029893.249 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) in k 1537029893.249 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537029893.249 * [misc]taylor: Taking taylor expansion of 2 in k 1537029893.249 * [misc]backup-simplify: Simplify 2 into 2 1537029893.249 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029893.249 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029893.249 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- (* 1/2 k))) in k 1537029893.249 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 (* n PI))))) in k 1537029893.249 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 (* n PI)))) in k 1537029893.249 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in k 1537029893.249 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1537029893.249 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537029893.249 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029893.249 * [misc]taylor: Taking taylor expansion of k in k 1537029893.249 * [misc]backup-simplify: Simplify 0 into 0 1537029893.249 * [misc]backup-simplify: Simplify 1 into 1 1537029893.249 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1537029893.249 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1537029893.249 * [misc]taylor: Taking taylor expansion of 2 in k 1537029893.250 * [misc]backup-simplify: Simplify 2 into 2 1537029893.250 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1537029893.250 * [misc]taylor: Taking taylor expansion of n in k 1537029893.250 * [misc]backup-simplify: Simplify n into n 1537029893.250 * [misc]taylor: Taking taylor expansion of PI in k 1537029893.250 * [misc]backup-simplify: Simplify PI into PI 1537029893.250 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1537029893.250 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1537029893.250 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1537029893.250 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1537029893.250 * [misc]backup-simplify: Simplify (- 0) into 0 1537029893.250 * [misc]backup-simplify: Simplify (* 0 (log (* 2 (* n PI)))) into 0 1537029893.250 * [misc]backup-simplify: Simplify (- 0) into 0 1537029893.251 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1537029893.251 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1537029893.251 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1537029893.252 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1537029893.252 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1537029893.252 * [misc]backup-simplify: Simplify (+ (* 0 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 1537029893.252 * [misc]backup-simplify: Simplify (exp 0) into 1 1537029893.252 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* n PI) k)) in k 1537029893.252 * [misc]taylor: Taking taylor expansion of (/ (* n PI) k) in k 1537029893.252 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1537029893.252 * [misc]taylor: Taking taylor expansion of n in k 1537029893.252 * [misc]backup-simplify: Simplify n into n 1537029893.252 * [misc]taylor: Taking taylor expansion of PI in k 1537029893.252 * [misc]backup-simplify: Simplify PI into PI 1537029893.252 * [misc]taylor: Taking taylor expansion of k in k 1537029893.252 * [misc]backup-simplify: Simplify 0 into 0 1537029893.252 * [misc]backup-simplify: Simplify 1 into 1 1537029893.252 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1537029893.252 * [misc]backup-simplify: Simplify (/ (* n PI) 1) into (* n PI) 1537029893.252 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537029893.253 * [misc]backup-simplify: Simplify (/ (* n PI) (* 2 (sqrt 0))) into (* +nan.0 (* n PI)) 1537029893.253 * [misc]backup-simplify: Simplify (* (sqrt 2) 1) into (sqrt 2) 1537029893.253 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1537029893.253 * [misc]taylor: Taking taylor expansion of 0 in n 1537029893.253 * [misc]backup-simplify: Simplify 0 into 0 1537029893.253 * [misc]backup-simplify: Simplify 0 into 0 1537029893.253 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (log (* 2 (* n PI)))) 1537029893.254 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* -1/2 (log (* 2 (* n PI))))) (* 0 1)) into (- (* 1/2 (* (sqrt 2) (log (* 2 (* n PI)))))) 1537029893.254 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (* n PI))) (* (- (* 1/2 (* (sqrt 2) (log (* 2 (* n PI)))))) 0)) into (- (* +nan.0 (* (sqrt 2) (* n PI)))) 1537029893.254 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (* n PI)))) in n 1537029893.254 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* n PI))) in n 1537029893.254 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537029893.254 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537029893.254 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* n PI)) in n 1537029893.254 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537029893.254 * [misc]taylor: Taking taylor expansion of 2 in n 1537029893.254 * [misc]backup-simplify: Simplify 2 into 2 1537029893.255 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029893.255 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029893.255 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537029893.255 * [misc]taylor: Taking taylor expansion of n in n 1537029893.255 * [misc]backup-simplify: Simplify 0 into 0 1537029893.255 * [misc]backup-simplify: Simplify 1 into 1 1537029893.255 * [misc]taylor: Taking taylor expansion of PI in n 1537029893.255 * [misc]backup-simplify: Simplify PI into PI 1537029893.255 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537029893.256 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1537029893.256 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1537029893.256 * [misc]backup-simplify: Simplify (- 0) into 0 1537029893.256 * [misc]backup-simplify: Simplify 0 into 0 1537029893.256 * [misc]backup-simplify: Simplify 0 into 0 1537029893.257 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1537029893.257 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* n PI) (/ 0 1)))) into 0 1537029893.258 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (* n PI)) 2) (+)) (* 2 0)) into (* +nan.0 (* (pow n 2) (pow PI 2))) 1537029893.258 * [misc]backup-simplify: Simplify (- 0) into 0 1537029893.258 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1537029893.258 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 1537029893.260 * [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 1537029893.260 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1537029893.260 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1537029893.260 * [misc]backup-simplify: Simplify (- 0) into 0 1537029893.261 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 1537029893.262 * [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)) 1537029893.263 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1537029893.264 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* 1/8 (pow (log (* 2 (* n PI))) 2))) (+ (* 0 (* -1/2 (log (* 2 (* n PI))))) (* 0 1))) into (* 1/8 (* (sqrt 2) (pow (log (* 2 (* n PI))) 2))) 1537029893.267 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (* (pow n 2) (pow PI 2)))) (+ (* (- (* 1/2 (* (sqrt 2) (log (* 2 (* n PI)))))) (* +nan.0 (* n PI))) (* (* 1/8 (* (sqrt 2) (pow (log (* 2 (* n PI))) 2))) 0))) into (- (+ (* +nan.0 (* (sqrt 2) (* (log (* 2 (* n PI))) (* n PI)))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))) 1537029893.267 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (* (log (* 2 (* n PI))) (* n PI)))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))) in n 1537029893.267 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (* (log (* 2 (* n PI))) (* n PI)))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2)))))) in n 1537029893.267 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* (log (* 2 (* n PI))) (* n PI)))) in n 1537029893.267 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537029893.267 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537029893.268 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 (* n PI))) (* n PI))) in n 1537029893.268 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537029893.268 * [misc]taylor: Taking taylor expansion of 2 in n 1537029893.268 * [misc]backup-simplify: Simplify 2 into 2 1537029893.268 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029893.268 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029893.268 * [misc]taylor: Taking taylor expansion of (* (log (* 2 (* n PI))) (* n PI)) in n 1537029893.268 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1537029893.268 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537029893.268 * [misc]taylor: Taking taylor expansion of 2 in n 1537029893.268 * [misc]backup-simplify: Simplify 2 into 2 1537029893.268 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537029893.268 * [misc]taylor: Taking taylor expansion of n in n 1537029893.268 * [misc]backup-simplify: Simplify 0 into 0 1537029893.268 * [misc]backup-simplify: Simplify 1 into 1 1537029893.268 * [misc]taylor: Taking taylor expansion of PI in n 1537029893.268 * [misc]backup-simplify: Simplify PI into PI 1537029893.269 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537029893.269 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537029893.270 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537029893.270 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537029893.271 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537029893.271 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537029893.271 * [misc]taylor: Taking taylor expansion of n in n 1537029893.271 * [misc]backup-simplify: Simplify 0 into 0 1537029893.271 * [misc]backup-simplify: Simplify 1 into 1 1537029893.271 * [misc]taylor: Taking taylor expansion of PI in n 1537029893.271 * [misc]backup-simplify: Simplify PI into PI 1537029893.271 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))) in n 1537029893.271 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2)))) in n 1537029893.271 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537029893.271 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537029893.271 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow n 2) (pow PI 2))) in n 1537029893.271 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537029893.271 * [misc]taylor: Taking taylor expansion of 2 in n 1537029893.271 * [misc]backup-simplify: Simplify 2 into 2 1537029893.272 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029893.272 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029893.272 * [misc]taylor: Taking taylor expansion of (* (pow n 2) (pow PI 2)) in n 1537029893.272 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1537029893.272 * [misc]taylor: Taking taylor expansion of n in n 1537029893.272 * [misc]backup-simplify: Simplify 0 into 0 1537029893.272 * [misc]backup-simplify: Simplify 1 into 1 1537029893.272 * [misc]taylor: Taking taylor expansion of (pow PI 2) in n 1537029893.272 * [misc]taylor: Taking taylor expansion of PI in n 1537029893.272 * [misc]backup-simplify: Simplify PI into PI 1537029893.273 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537029893.273 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537029893.274 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) 0) into 0 1537029893.274 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1537029893.274 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1537029893.274 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537029893.275 * [misc]backup-simplify: Simplify (- 0) into 0 1537029893.275 * [misc]backup-simplify: Simplify 0 into 0 1537029893.275 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537029893.276 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) PI) (* 0 0)) into (* (sqrt 2) PI) 1537029893.277 * [misc]backup-simplify: Simplify (+ (* +nan.0 (* (sqrt 2) PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1537029893.279 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1537029893.280 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1537029893.280 * [misc]backup-simplify: Simplify 0 into 0 1537029893.281 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1537029893.282 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* n PI) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029893.284 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 (* n PI)) (* +nan.0 (* (pow n 2) (pow PI 2))))))) (* 2 0)) into (* +nan.0 (* (pow n 3) (pow PI 3))) 1537029893.284 * [misc]backup-simplify: Simplify (- 0) into 0 1537029893.285 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537029893.286 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 1537029893.290 * [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 1537029893.291 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1537029893.291 * [misc]backup-simplify: Simplify (- 0) into 0 1537029893.291 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1537029893.291 * [misc]backup-simplify: Simplify (- 0) into 0 1537029893.292 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0 1537029893.295 * [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)) 1537029893.295 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537029893.298 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* -1/48 (pow (log (* 2 (* n PI))) 3))) (+ (* 0 (* 1/8 (pow (log (* 2 (* n PI))) 2))) (+ (* 0 (* -1/2 (log (* 2 (* n PI))))) (* 0 1)))) into (- (* 1/48 (* (sqrt 2) (pow (log (* 2 (* n PI))) 3)))) 1537029893.306 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (* (pow n 3) (pow PI 3)))) (+ (* (- (* 1/2 (* (sqrt 2) (log (* 2 (* n PI)))))) (* +nan.0 (* (pow n 2) (pow PI 2)))) (+ (* (* 1/8 (* (sqrt 2) (pow (log (* 2 (* n PI))) 2))) (* +nan.0 (* n PI))) (* (- (* 1/48 (* (sqrt 2) (pow (log (* 2 (* n PI))) 3)))) 0)))) into (- (+ (* +nan.0 (* (sqrt 2) (* (pow n 3) (pow PI 3)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (* n PI)))) (- (* +nan.0 (* (sqrt 2) (* (log (* 2 (* n PI))) (* (pow n 2) (pow PI 2)))))))))) 1537029893.307 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (* (pow n 3) (pow PI 3)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (* n PI)))) (- (* +nan.0 (* (sqrt 2) (* (log (* 2 (* n PI))) (* (pow n 2) (pow PI 2)))))))))) in n 1537029893.307 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (* (pow n 3) (pow PI 3)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (* n PI)))) (- (* +nan.0 (* (sqrt 2) (* (log (* 2 (* n PI))) (* (pow n 2) (pow PI 2))))))))) in n 1537029893.307 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* (pow n 3) (pow PI 3)))) in n 1537029893.307 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537029893.307 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537029893.307 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow n 3) (pow PI 3))) in n 1537029893.307 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537029893.307 * [misc]taylor: Taking taylor expansion of 2 in n 1537029893.307 * [misc]backup-simplify: Simplify 2 into 2 1537029893.307 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029893.308 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029893.308 * [misc]taylor: Taking taylor expansion of (* (pow n 3) (pow PI 3)) in n 1537029893.308 * [misc]taylor: Taking taylor expansion of (pow n 3) in n 1537029893.308 * [misc]taylor: Taking taylor expansion of n in n 1537029893.308 * [misc]backup-simplify: Simplify 0 into 0 1537029893.308 * [misc]backup-simplify: Simplify 1 into 1 1537029893.308 * [misc]taylor: Taking taylor expansion of (pow PI 3) in n 1537029893.308 * [misc]taylor: Taking taylor expansion of PI in n 1537029893.308 * [misc]backup-simplify: Simplify PI into PI 1537029893.308 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (* n PI)))) (- (* +nan.0 (* (sqrt 2) (* (log (* 2 (* n PI))) (* (pow n 2) (pow PI 2)))))))) in n 1537029893.308 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (* n PI)))) (- (* +nan.0 (* (sqrt 2) (* (log (* 2 (* n PI))) (* (pow n 2) (pow PI 2))))))) in n 1537029893.308 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (* n PI)))) in n 1537029893.308 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537029893.308 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537029893.308 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (* n PI))) in n 1537029893.308 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537029893.308 * [misc]taylor: Taking taylor expansion of 2 in n 1537029893.308 * [misc]backup-simplify: Simplify 2 into 2 1537029893.308 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029893.308 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029893.308 * [misc]taylor: Taking taylor expansion of (* (pow (log (* 2 (* n PI))) 2) (* n PI)) in n 1537029893.309 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n 1537029893.309 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1537029893.309 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537029893.309 * [misc]taylor: Taking taylor expansion of 2 in n 1537029893.309 * [misc]backup-simplify: Simplify 2 into 2 1537029893.309 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537029893.309 * [misc]taylor: Taking taylor expansion of n in n 1537029893.309 * [misc]backup-simplify: Simplify 0 into 0 1537029893.309 * [misc]backup-simplify: Simplify 1 into 1 1537029893.309 * [misc]taylor: Taking taylor expansion of PI in n 1537029893.309 * [misc]backup-simplify: Simplify PI into PI 1537029893.309 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537029893.309 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537029893.310 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537029893.311 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537029893.311 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537029893.312 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537029893.312 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537029893.312 * [misc]taylor: Taking taylor expansion of n in n 1537029893.312 * [misc]backup-simplify: Simplify 0 into 0 1537029893.312 * [misc]backup-simplify: Simplify 1 into 1 1537029893.312 * [misc]taylor: Taking taylor expansion of PI in n 1537029893.312 * [misc]backup-simplify: Simplify PI into PI 1537029893.312 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (* (log (* 2 (* n PI))) (* (pow n 2) (pow PI 2)))))) in n 1537029893.312 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* (log (* 2 (* n PI))) (* (pow n 2) (pow PI 2))))) in n 1537029893.312 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537029893.312 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537029893.312 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 (* n PI))) (* (pow n 2) (pow PI 2)))) in n 1537029893.312 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537029893.312 * [misc]taylor: Taking taylor expansion of 2 in n 1537029893.312 * [misc]backup-simplify: Simplify 2 into 2 1537029893.313 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029893.313 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029893.313 * [misc]taylor: Taking taylor expansion of (* (log (* 2 (* n PI))) (* (pow n 2) (pow PI 2))) in n 1537029893.313 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1537029893.313 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537029893.313 * [misc]taylor: Taking taylor expansion of 2 in n 1537029893.313 * [misc]backup-simplify: Simplify 2 into 2 1537029893.313 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537029893.313 * [misc]taylor: Taking taylor expansion of n in n 1537029893.313 * [misc]backup-simplify: Simplify 0 into 0 1537029893.313 * [misc]backup-simplify: Simplify 1 into 1 1537029893.313 * [misc]taylor: Taking taylor expansion of PI in n 1537029893.313 * [misc]backup-simplify: Simplify PI into PI 1537029893.313 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537029893.314 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537029893.314 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537029893.315 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537029893.316 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537029893.316 * [misc]taylor: Taking taylor expansion of (* (pow n 2) (pow PI 2)) in n 1537029893.316 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1537029893.316 * [misc]taylor: Taking taylor expansion of n in n 1537029893.316 * [misc]backup-simplify: Simplify 0 into 0 1537029893.316 * [misc]backup-simplify: Simplify 1 into 1 1537029893.316 * [misc]taylor: Taking taylor expansion of (pow PI 2) in n 1537029893.316 * [misc]taylor: Taking taylor expansion of PI in n 1537029893.316 * [misc]backup-simplify: Simplify PI into PI 1537029893.317 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537029893.318 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537029893.319 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2) 1537029893.319 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537029893.320 * [misc]backup-simplify: Simplify (* (pow (+ (log n) (log (* 2 PI))) 2) 0) into 0 1537029893.320 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1537029893.321 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1537029893.321 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537029893.321 * [misc]backup-simplify: Simplify (- 0) into 0 1537029893.321 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537029893.321 * [misc]backup-simplify: Simplify (- 0) into 0 1537029893.321 * [misc]backup-simplify: Simplify 0 into 0 1537029893.322 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537029893.323 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537029893.324 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1537029893.325 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1537029893.328 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537029893.329 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) PI) (* 0 0)) into (+ (* PI (log (* 2 PI))) (* PI (log n))) 1537029893.331 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (+ (* PI (log (* 2 PI))) (* PI (log n)))) (* 0 0)) into (+ (* (sqrt 2) (* PI (log n))) (* (sqrt 2) (* PI (log (* 2 PI))))) 1537029893.333 * [misc]backup-simplify: Simplify (+ (* +nan.0 (+ (* (sqrt 2) (* PI (log n))) (* (sqrt 2) (* PI (log (* 2 PI)))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 1537029893.336 * [misc]backup-simplify: Simplify (+ (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 0) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 1537029893.339 * [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)))))))) 1537029893.342 * [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)))))))) 1537029893.344 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1537029893.345 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1537029893.346 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 PI) (* 0 0))) into 0 1537029893.348 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 (* (sqrt 2) PI)) (* 0 0))) into 0 1537029893.348 * [misc]backup-simplify: Simplify (- 0) into 0 1537029893.348 * [misc]backup-simplify: Simplify 0 into 0 1537029893.348 * [misc]backup-simplify: Simplify 0 into 0 1537029893.350 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537029893.351 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* n PI) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029893.354 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (* (pow n 2) (pow PI 2))) 2) (+ (* 2 (* (* +nan.0 (* n PI)) (* +nan.0 (* (pow n 3) (pow PI 3))))))) (* 2 0)) into (* +nan.0 (* (pow n 4) (pow PI 4))) 1537029893.354 * [misc]backup-simplify: Simplify (- 0) into 0 1537029893.357 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537029893.357 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI)))))) into 0 1537029893.365 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 2 (* n PI)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* 2 (* n PI)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* 2 (* n PI)) 1)))) 24) into 0 1537029893.365 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1537029893.365 * [misc]backup-simplify: Simplify (- 0) into 0 1537029893.365 * [misc]backup-simplify: Simplify (- 0) into 0 1537029893.366 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1537029893.366 * [misc]backup-simplify: Simplify (- 0) into 0 1537029893.367 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI)))))))) into 0 1537029893.372 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 4) 24)) (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow (log (* 2 (* n PI))) 4)) 1537029893.373 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537029893.376 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* 1/384 (pow (log (* 2 (* n PI))) 4))) (+ (* 0 (* -1/48 (pow (log (* 2 (* n PI))) 3))) (+ (* 0 (* 1/8 (pow (log (* 2 (* n PI))) 2))) (+ (* 0 (* -1/2 (log (* 2 (* n PI))))) (* 0 1))))) into (* 1/384 (* (sqrt 2) (pow (log (* 2 (* n PI))) 4))) 1537029893.393 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (* (pow n 4) (pow PI 4)))) (+ (* (- (* 1/2 (* (sqrt 2) (log (* 2 (* n PI)))))) (* +nan.0 (* (pow n 3) (pow PI 3)))) (+ (* (* 1/8 (* (sqrt 2) (pow (log (* 2 (* n PI))) 2))) (* +nan.0 (* (pow n 2) (pow PI 2)))) (+ (* (- (* 1/48 (* (sqrt 2) (pow (log (* 2 (* n PI))) 3)))) (* +nan.0 (* n PI))) (* (* 1/384 (* (sqrt 2) (pow (log (* 2 (* n PI))) 4))) 0))))) into (- (+ (* +nan.0 (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 3) (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow n 4) (pow PI 4)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (* (pow n 2) (pow PI 2))))) (- (* +nan.0 (* (sqrt 2) (* (log (* 2 (* n PI))) (* (pow n 3) (pow PI 3)))))))))))) 1537029893.393 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 3) (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow n 4) (pow PI 4)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (* (pow n 2) (pow PI 2))))) (- (* +nan.0 (* (sqrt 2) (* (log (* 2 (* n PI))) (* (pow n 3) (pow PI 3)))))))))))) in n 1537029893.393 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 3) (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow n 4) (pow PI 4)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (* (pow n 2) (pow PI 2))))) (- (* +nan.0 (* (sqrt 2) (* (log (* 2 (* n PI))) (* (pow n 3) (pow PI 3))))))))))) in n 1537029893.393 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 3) (* n PI)))) in n 1537029893.393 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537029893.393 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537029893.393 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 3) (* n PI))) in n 1537029893.394 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537029893.394 * [misc]taylor: Taking taylor expansion of 2 in n 1537029893.394 * [misc]backup-simplify: Simplify 2 into 2 1537029893.394 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029893.394 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029893.394 * [misc]taylor: Taking taylor expansion of (* (pow (log (* 2 (* n PI))) 3) (* n PI)) in n 1537029893.394 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 (* n PI))) 3) in n 1537029893.394 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1537029893.394 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537029893.394 * [misc]taylor: Taking taylor expansion of 2 in n 1537029893.394 * [misc]backup-simplify: Simplify 2 into 2 1537029893.394 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537029893.394 * [misc]taylor: Taking taylor expansion of n in n 1537029893.394 * [misc]backup-simplify: Simplify 0 into 0 1537029893.394 * [misc]backup-simplify: Simplify 1 into 1 1537029893.394 * [misc]taylor: Taking taylor expansion of PI in n 1537029893.395 * [misc]backup-simplify: Simplify PI into PI 1537029893.395 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537029893.395 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537029893.396 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537029893.397 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537029893.397 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537029893.398 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537029893.398 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537029893.398 * [misc]taylor: Taking taylor expansion of n in n 1537029893.398 * [misc]backup-simplify: Simplify 0 into 0 1537029893.398 * [misc]backup-simplify: Simplify 1 into 1 1537029893.398 * [misc]taylor: Taking taylor expansion of PI in n 1537029893.398 * [misc]backup-simplify: Simplify PI into PI 1537029893.398 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (* (pow n 4) (pow PI 4)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (* (pow n 2) (pow PI 2))))) (- (* +nan.0 (* (sqrt 2) (* (log (* 2 (* n PI))) (* (pow n 3) (pow PI 3)))))))))) in n 1537029893.398 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (* (pow n 4) (pow PI 4)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (* (pow n 2) (pow PI 2))))) (- (* +nan.0 (* (sqrt 2) (* (log (* 2 (* n PI))) (* (pow n 3) (pow PI 3))))))))) in n 1537029893.398 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* (pow n 4) (pow PI 4)))) in n 1537029893.398 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537029893.398 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537029893.398 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow n 4) (pow PI 4))) in n 1537029893.398 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537029893.398 * [misc]taylor: Taking taylor expansion of 2 in n 1537029893.399 * [misc]backup-simplify: Simplify 2 into 2 1537029893.399 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029893.399 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029893.399 * [misc]taylor: Taking taylor expansion of (* (pow n 4) (pow PI 4)) in n 1537029893.399 * [misc]taylor: Taking taylor expansion of (pow n 4) in n 1537029893.399 * [misc]taylor: Taking taylor expansion of n in n 1537029893.399 * [misc]backup-simplify: Simplify 0 into 0 1537029893.399 * [misc]backup-simplify: Simplify 1 into 1 1537029893.399 * [misc]taylor: Taking taylor expansion of (pow PI 4) in n 1537029893.399 * [misc]taylor: Taking taylor expansion of PI in n 1537029893.399 * [misc]backup-simplify: Simplify PI into PI 1537029893.399 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (* (pow n 2) (pow PI 2))))) (- (* +nan.0 (* (sqrt 2) (* (log (* 2 (* n PI))) (* (pow n 3) (pow PI 3)))))))) in n 1537029893.399 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (* (pow n 2) (pow PI 2))))) (- (* +nan.0 (* (sqrt 2) (* (log (* 2 (* n PI))) (* (pow n 3) (pow PI 3))))))) in n 1537029893.399 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (* (pow n 2) (pow PI 2))))) in n 1537029893.399 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537029893.399 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537029893.399 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (* (pow n 2) (pow PI 2)))) in n 1537029893.400 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537029893.400 * [misc]taylor: Taking taylor expansion of 2 in n 1537029893.400 * [misc]backup-simplify: Simplify 2 into 2 1537029893.400 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029893.400 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029893.400 * [misc]taylor: Taking taylor expansion of (* (pow (log (* 2 (* n PI))) 2) (* (pow n 2) (pow PI 2))) in n 1537029893.400 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n 1537029893.400 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1537029893.400 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537029893.400 * [misc]taylor: Taking taylor expansion of 2 in n 1537029893.400 * [misc]backup-simplify: Simplify 2 into 2 1537029893.400 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537029893.400 * [misc]taylor: Taking taylor expansion of n in n 1537029893.400 * [misc]backup-simplify: Simplify 0 into 0 1537029893.400 * [misc]backup-simplify: Simplify 1 into 1 1537029893.400 * [misc]taylor: Taking taylor expansion of PI in n 1537029893.400 * [misc]backup-simplify: Simplify PI into PI 1537029893.401 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537029893.401 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537029893.402 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537029893.402 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537029893.403 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537029893.404 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537029893.404 * [misc]taylor: Taking taylor expansion of (* (pow n 2) (pow PI 2)) in n 1537029893.404 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1537029893.404 * [misc]taylor: Taking taylor expansion of n in n 1537029893.404 * [misc]backup-simplify: Simplify 0 into 0 1537029893.404 * [misc]backup-simplify: Simplify 1 into 1 1537029893.404 * [misc]taylor: Taking taylor expansion of (pow PI 2) in n 1537029893.404 * [misc]taylor: Taking taylor expansion of PI in n 1537029893.404 * [misc]backup-simplify: Simplify PI into PI 1537029893.404 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (* (log (* 2 (* n PI))) (* (pow n 3) (pow PI 3)))))) in n 1537029893.404 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* (log (* 2 (* n PI))) (* (pow n 3) (pow PI 3))))) in n 1537029893.404 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537029893.404 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537029893.404 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 (* n PI))) (* (pow n 3) (pow PI 3)))) in n 1537029893.404 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537029893.404 * [misc]taylor: Taking taylor expansion of 2 in n 1537029893.404 * [misc]backup-simplify: Simplify 2 into 2 1537029893.404 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029893.405 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029893.405 * [misc]taylor: Taking taylor expansion of (* (log (* 2 (* n PI))) (* (pow n 3) (pow PI 3))) in n 1537029893.405 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1537029893.405 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537029893.405 * [misc]taylor: Taking taylor expansion of 2 in n 1537029893.405 * [misc]backup-simplify: Simplify 2 into 2 1537029893.405 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537029893.405 * [misc]taylor: Taking taylor expansion of n in n 1537029893.405 * [misc]backup-simplify: Simplify 0 into 0 1537029893.405 * [misc]backup-simplify: Simplify 1 into 1 1537029893.405 * [misc]taylor: Taking taylor expansion of PI in n 1537029893.405 * [misc]backup-simplify: Simplify PI into PI 1537029893.405 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537029893.405 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537029893.406 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537029893.407 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537029893.408 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537029893.408 * [misc]taylor: Taking taylor expansion of (* (pow n 3) (pow PI 3)) in n 1537029893.408 * [misc]taylor: Taking taylor expansion of (pow n 3) in n 1537029893.408 * [misc]taylor: Taking taylor expansion of n in n 1537029893.408 * [misc]backup-simplify: Simplify 0 into 0 1537029893.408 * [misc]backup-simplify: Simplify 1 into 1 1537029893.408 * [misc]taylor: Taking taylor expansion of (pow PI 3) in n 1537029893.408 * [misc]taylor: Taking taylor expansion of PI in n 1537029893.408 * [misc]backup-simplify: Simplify PI into PI 1537029893.409 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537029893.410 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537029893.411 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537029893.412 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2) 1537029893.414 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) (pow (+ (log n) (log (* 2 PI))) 2)) into (pow (+ (log n) (log (* 2 PI))) 3) 1537029893.414 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537029893.415 * [misc]backup-simplify: Simplify (* (pow (+ (log n) (log (* 2 PI))) 3) 0) into 0 1537029893.415 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1537029893.415 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1537029893.415 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537029893.416 * [misc]backup-simplify: Simplify (- 0) into 0 1537029893.416 * [misc]backup-simplify: Simplify 0 into 0 1537029893.416 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537029893.417 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537029893.418 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1537029893.419 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1537029893.423 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537029893.423 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537029893.425 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1537029893.427 * [misc]backup-simplify: Simplify (+ (* (pow (+ (log n) (log (* 2 PI))) 2) PI) (* 0 0)) into (+ (* 2 (* PI (* (log n) (log (* 2 PI))))) (+ (* PI (pow (log (* 2 PI)) 2)) (* PI (pow (log n) 2)))) 1537029893.432 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (+ (* 2 (* PI (* (log n) (log (* 2 PI))))) (+ (* PI (pow (log (* 2 PI)) 2)) (* PI (pow (log n) 2))))) (* 0 0)) into (+ (* (sqrt 2) (* PI (pow (log n) 2))) (+ (* (sqrt 2) (* PI (pow (log (* 2 PI)) 2))) (* 2 (* (sqrt 2) (* PI (* (log n) (log (* 2 PI)))))))) 1537029893.439 * [misc]backup-simplify: Simplify (+ (* +nan.0 (+ (* (sqrt 2) (* PI (pow (log n) 2))) (+ (* (sqrt 2) (* PI (pow (log (* 2 PI)) 2))) (* 2 (* (sqrt 2) (* PI (* (log n) (log (* 2 PI))))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (pow (log n) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (pow (log (* 2 PI)) 2)))) (- (* +nan.0 (* (sqrt 2) (* PI (* (log n) (log (* 2 PI))))))))))) 1537029893.450 * [misc]backup-simplify: Simplify (+ (- (+ (* +nan.0 (* (sqrt 2) (* PI (pow (log n) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (pow (log (* 2 PI)) 2)))) (- (* +nan.0 (* (sqrt 2) (* PI (* (log n) (log (* 2 PI))))))))))) 0) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (pow (log n) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (pow (log (* 2 PI)) 2)))) (- (* +nan.0 (* (sqrt 2) (* PI (* (log n) (log (* 2 PI))))))))))) 1537029893.462 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (pow (log n) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (pow (log (* 2 PI)) 2)))) (- (* +nan.0 (* (sqrt 2) (* PI (* (log n) (log (* 2 PI)))))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (pow (log n) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (pow (log (* 2 PI)) 2)))) (- (* +nan.0 (* (sqrt 2) (* PI (* (log n) (log (* 2 PI))))))))))) 1537029893.473 * [misc]backup-simplify: Simplify (+ 0 (- (+ (* +nan.0 (* (sqrt 2) (* PI (pow (log n) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (pow (log (* 2 PI)) 2)))) (- (* +nan.0 (* (sqrt 2) (* PI (* (log n) (log (* 2 PI)))))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (pow (log n) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (pow (log (* 2 PI)) 2)))) (- (* +nan.0 (* (sqrt 2) (* PI (* (log n) (log (* 2 PI))))))))))) 1537029893.484 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (pow (log n) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (pow (log (* 2 PI)) 2)))) (- (* +nan.0 (* (sqrt 2) (* PI (* (log n) (log (* 2 PI)))))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (pow (log n) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (pow (log (* 2 PI)) 2)))) (- (* +nan.0 (* (sqrt 2) (* PI (* (log n) (log (* 2 PI))))))))))) 1537029893.492 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (pow (log n) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (pow (log (* 2 PI)) 2)))) (- (* +nan.0 (* (sqrt 2) (* PI (* (log n) (log (* 2 PI))))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (pow (log n) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (pow (log (* 2 PI)) 2)))) (- (* +nan.0 (* (sqrt 2) (* PI (* (log n) (log (* 2 PI))))))))))) 1537029893.505 * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (pow (log n) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (pow (log (* 2 PI)) 2)))) (- (* +nan.0 (* (sqrt 2) (* PI (* (log n) (log (* 2 PI))))))))))) (* n (pow k 2))) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) (* n k)) (* (- (* +nan.0 (* (sqrt 2) PI))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (pow (log n) 2) (pow k 2)))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (sqrt 2) (* n (* PI (pow k 2)))))) (- (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI (* (log n) (pow k 2)))))))))))))))))) 1537029893.505 * [misc]backup-simplify: Simplify (/ 1 (/ (/ (sqrt (/ 1 k)) (pow (* PI (* (/ 1 n) 2)) (- (/ (/ 1 k) 2)))) (sqrt (* (* 2 (/ 1 n)) PI)))) into (* (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) (sqrt (/ (* PI k) n))) 1537029893.505 * [misc]approximate: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) (sqrt (/ (* PI k) n))) in (k n) around 0 1537029893.506 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) (sqrt (/ (* PI k) n))) in n 1537029893.506 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) in n 1537029893.506 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537029893.506 * [misc]taylor: Taking taylor expansion of 2 in n 1537029893.506 * [misc]backup-simplify: Simplify 2 into 2 1537029893.506 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029893.506 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029893.506 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) in n 1537029893.506 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1537029893.506 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1537029893.506 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in n 1537029893.506 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1537029893.506 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537029893.506 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029893.506 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1537029893.506 * [misc]taylor: Taking taylor expansion of k in n 1537029893.506 * [misc]backup-simplify: Simplify k into k 1537029893.506 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1537029893.506 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1537029893.506 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537029893.506 * [misc]taylor: Taking taylor expansion of 2 in n 1537029893.506 * [misc]backup-simplify: Simplify 2 into 2 1537029893.506 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537029893.506 * [misc]taylor: Taking taylor expansion of PI in n 1537029893.506 * [misc]backup-simplify: Simplify PI into PI 1537029893.506 * [misc]taylor: Taking taylor expansion of n in n 1537029893.506 * [misc]backup-simplify: Simplify 0 into 0 1537029893.506 * [misc]backup-simplify: Simplify 1 into 1 1537029893.507 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537029893.507 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537029893.507 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537029893.507 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1537029893.507 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1537029893.508 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537029893.508 * [misc]backup-simplify: Simplify (* (- (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1537029893.509 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537029893.509 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* PI k) n)) in n 1537029893.509 * [misc]taylor: Taking taylor expansion of (/ (* PI k) n) in n 1537029893.509 * [misc]taylor: Taking taylor expansion of (* PI k) in n 1537029893.509 * [misc]taylor: Taking taylor expansion of PI in n 1537029893.509 * [misc]backup-simplify: Simplify PI into PI 1537029893.509 * [misc]taylor: Taking taylor expansion of k in n 1537029893.509 * [misc]backup-simplify: Simplify k into k 1537029893.509 * [misc]taylor: Taking taylor expansion of n in n 1537029893.509 * [misc]backup-simplify: Simplify 0 into 0 1537029893.509 * [misc]backup-simplify: Simplify 1 into 1 1537029893.509 * [misc]backup-simplify: Simplify (* PI k) into (* PI k) 1537029893.509 * [misc]backup-simplify: Simplify (/ (* PI k) 1) into (* PI k) 1537029893.509 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537029893.509 * [misc]backup-simplify: Simplify (/ (* PI k) (* 2 (sqrt 0))) into (* +nan.0 (* PI k)) 1537029893.509 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) (sqrt (/ (* PI k) n))) in k 1537029893.509 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) in k 1537029893.509 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537029893.510 * [misc]taylor: Taking taylor expansion of 2 in k 1537029893.510 * [misc]backup-simplify: Simplify 2 into 2 1537029893.510 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029893.510 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029893.510 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) in k 1537029893.510 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1537029893.510 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1537029893.510 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in k 1537029893.510 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1537029893.510 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537029893.510 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029893.510 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1537029893.510 * [misc]taylor: Taking taylor expansion of k in k 1537029893.510 * [misc]backup-simplify: Simplify 0 into 0 1537029893.510 * [misc]backup-simplify: Simplify 1 into 1 1537029893.510 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1537029893.510 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1537029893.510 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1537029893.510 * [misc]taylor: Taking taylor expansion of 2 in k 1537029893.510 * [misc]backup-simplify: Simplify 2 into 2 1537029893.510 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1537029893.510 * [misc]taylor: Taking taylor expansion of PI in k 1537029893.510 * [misc]backup-simplify: Simplify PI into PI 1537029893.510 * [misc]taylor: Taking taylor expansion of n in k 1537029893.510 * [misc]backup-simplify: Simplify n into n 1537029893.510 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537029893.510 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1537029893.510 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1537029893.511 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1537029893.511 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1537029893.511 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1537029893.511 * [misc]backup-simplify: Simplify (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) 1537029893.511 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* PI k) n)) in k 1537029893.511 * [misc]taylor: Taking taylor expansion of (/ (* PI k) n) in k 1537029893.511 * [misc]taylor: Taking taylor expansion of (* PI k) in k 1537029893.511 * [misc]taylor: Taking taylor expansion of PI in k 1537029893.511 * [misc]backup-simplify: Simplify PI into PI 1537029893.511 * [misc]taylor: Taking taylor expansion of k in k 1537029893.511 * [misc]backup-simplify: Simplify 0 into 0 1537029893.511 * [misc]backup-simplify: Simplify 1 into 1 1537029893.511 * [misc]taylor: Taking taylor expansion of n in k 1537029893.511 * [misc]backup-simplify: Simplify n into n 1537029893.511 * [misc]backup-simplify: Simplify (* PI 0) into 0 1537029893.512 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1537029893.512 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537029893.512 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537029893.512 * [misc]backup-simplify: Simplify (/ (/ PI n) (* 2 (sqrt 0))) into (* +nan.0 (/ PI n)) 1537029893.512 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) (sqrt (/ (* PI k) n))) in k 1537029893.512 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) in k 1537029893.513 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537029893.513 * [misc]taylor: Taking taylor expansion of 2 in k 1537029893.513 * [misc]backup-simplify: Simplify 2 into 2 1537029893.513 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029893.513 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029893.513 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) in k 1537029893.513 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1537029893.513 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1537029893.513 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in k 1537029893.513 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1537029893.513 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537029893.513 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029893.513 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1537029893.513 * [misc]taylor: Taking taylor expansion of k in k 1537029893.513 * [misc]backup-simplify: Simplify 0 into 0 1537029893.513 * [misc]backup-simplify: Simplify 1 into 1 1537029893.513 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1537029893.513 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1537029893.513 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1537029893.513 * [misc]taylor: Taking taylor expansion of 2 in k 1537029893.513 * [misc]backup-simplify: Simplify 2 into 2 1537029893.513 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1537029893.513 * [misc]taylor: Taking taylor expansion of PI in k 1537029893.513 * [misc]backup-simplify: Simplify PI into PI 1537029893.513 * [misc]taylor: Taking taylor expansion of n in k 1537029893.513 * [misc]backup-simplify: Simplify n into n 1537029893.513 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537029893.513 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1537029893.514 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1537029893.514 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1537029893.514 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1537029893.514 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1537029893.514 * [misc]backup-simplify: Simplify (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) 1537029893.514 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* PI k) n)) in k 1537029893.514 * [misc]taylor: Taking taylor expansion of (/ (* PI k) n) in k 1537029893.514 * [misc]taylor: Taking taylor expansion of (* PI k) in k 1537029893.514 * [misc]taylor: Taking taylor expansion of PI in k 1537029893.514 * [misc]backup-simplify: Simplify PI into PI 1537029893.514 * [misc]taylor: Taking taylor expansion of k in k 1537029893.514 * [misc]backup-simplify: Simplify 0 into 0 1537029893.514 * [misc]backup-simplify: Simplify 1 into 1 1537029893.514 * [misc]taylor: Taking taylor expansion of n in k 1537029893.514 * [misc]backup-simplify: Simplify n into n 1537029893.514 * [misc]backup-simplify: Simplify (* PI 0) into 0 1537029893.515 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1537029893.515 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537029893.515 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537029893.515 * [misc]backup-simplify: Simplify (/ (/ PI n) (* 2 (sqrt 0))) into (* +nan.0 (/ PI n)) 1537029893.516 * [misc]backup-simplify: Simplify (* (sqrt 2) (exp (* -1/2 (/ (log (* 2 (/ PI n))) k)))) into (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)) 1537029893.516 * [misc]backup-simplify: Simplify (* (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)) 0) into 0 1537029893.516 * [misc]taylor: Taking taylor expansion of 0 in n 1537029893.516 * [misc]backup-simplify: Simplify 0 into 0 1537029893.516 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))))) into 0 1537029893.517 * [misc]backup-simplify: Simplify (+ (* (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)) (* +nan.0 (/ PI n))) (* 0 0)) into (- (* +nan.0 (/ (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) PI)) n))) 1537029893.517 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) PI)) n))) in n 1537029893.517 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) PI)) n)) in n 1537029893.517 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537029893.517 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537029893.517 * [misc]taylor: Taking taylor expansion of (/ (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) PI)) n) in n 1537029893.517 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) PI)) in n 1537029893.517 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) in n 1537029893.517 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (log (* 2 (/ PI n))) k)) in n 1537029893.517 * [misc]taylor: Taking taylor expansion of -1/2 in n 1537029893.517 * [misc]backup-simplify: Simplify -1/2 into -1/2 1537029893.517 * [misc]taylor: Taking taylor expansion of (/ (log (* 2 (/ PI n))) k) in n 1537029893.517 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1537029893.517 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537029893.517 * [misc]taylor: Taking taylor expansion of 2 in n 1537029893.517 * [misc]backup-simplify: Simplify 2 into 2 1537029893.517 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537029893.517 * [misc]taylor: Taking taylor expansion of PI in n 1537029893.517 * [misc]backup-simplify: Simplify PI into PI 1537029893.517 * [misc]taylor: Taking taylor expansion of n in n 1537029893.517 * [misc]backup-simplify: Simplify 0 into 0 1537029893.517 * [misc]backup-simplify: Simplify 1 into 1 1537029893.517 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537029893.518 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537029893.518 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537029893.518 * [misc]taylor: Taking taylor expansion of k in n 1537029893.518 * [misc]backup-simplify: Simplify k into k 1537029893.519 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537029893.519 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537029893.519 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) k) into (/ (- (log (* 2 PI)) (log n)) k) 1537029893.520 * [misc]backup-simplify: Simplify (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) into (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1537029893.520 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537029893.520 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) PI) in n 1537029893.520 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537029893.520 * [misc]taylor: Taking taylor expansion of 2 in n 1537029893.520 * [misc]backup-simplify: Simplify 2 into 2 1537029893.520 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029893.521 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029893.521 * [misc]taylor: Taking taylor expansion of PI in n 1537029893.521 * [misc]backup-simplify: Simplify PI into PI 1537029893.521 * [misc]taylor: Taking taylor expansion of n in n 1537029893.521 * [misc]backup-simplify: Simplify 0 into 0 1537029893.521 * [misc]backup-simplify: Simplify 1 into 1 1537029893.521 * [misc]backup-simplify: Simplify (* (sqrt 2) PI) into (* (sqrt 2) PI) 1537029893.522 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)) into (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI)) 1537029893.522 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI)) 1) into (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI)) 1537029893.523 * [misc]backup-simplify: Simplify (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI))) into (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI))) 1537029893.524 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI)))) into (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI)))) 1537029893.525 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI)))) into (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI)))) 1537029893.525 * [misc]backup-simplify: Simplify 0 into 0 1537029893.525 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 1537029893.525 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 1537029893.526 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (/ PI n)) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow PI 2) (pow n 2))) 1537029893.527 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1537029893.527 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (log (* 2 (/ PI n))) k)))))) into 0 1537029893.529 * [misc]backup-simplify: Simplify (+ (* (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)) (* +nan.0 (/ (pow PI 2) (pow n 2)))) (+ (* 0 (* +nan.0 (/ PI n))) (* 0 0))) into (- (* +nan.0 (/ (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 2))) (pow n 2)))) 1537029893.529 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 2))) (pow n 2)))) in n 1537029893.529 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 2))) (pow n 2))) in n 1537029893.529 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537029893.529 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537029893.529 * [misc]taylor: Taking taylor expansion of (/ (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 2))) (pow n 2)) in n 1537029893.529 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 2))) in n 1537029893.529 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) in n 1537029893.529 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (log (* 2 (/ PI n))) k)) in n 1537029893.530 * [misc]taylor: Taking taylor expansion of -1/2 in n 1537029893.530 * [misc]backup-simplify: Simplify -1/2 into -1/2 1537029893.530 * [misc]taylor: Taking taylor expansion of (/ (log (* 2 (/ PI n))) k) in n 1537029893.530 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1537029893.530 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537029893.530 * [misc]taylor: Taking taylor expansion of 2 in n 1537029893.530 * [misc]backup-simplify: Simplify 2 into 2 1537029893.530 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537029893.530 * [misc]taylor: Taking taylor expansion of PI in n 1537029893.530 * [misc]backup-simplify: Simplify PI into PI 1537029893.530 * [misc]taylor: Taking taylor expansion of n in n 1537029893.530 * [misc]backup-simplify: Simplify 0 into 0 1537029893.530 * [misc]backup-simplify: Simplify 1 into 1 1537029893.530 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537029893.531 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537029893.531 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537029893.531 * [misc]taylor: Taking taylor expansion of k in n 1537029893.531 * [misc]backup-simplify: Simplify k into k 1537029893.532 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537029893.533 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537029893.533 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) k) into (/ (- (log (* 2 PI)) (log n)) k) 1537029893.534 * [misc]backup-simplify: Simplify (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) into (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1537029893.535 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537029893.535 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow PI 2)) in n 1537029893.535 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537029893.535 * [misc]taylor: Taking taylor expansion of 2 in n 1537029893.535 * [misc]backup-simplify: Simplify 2 into 2 1537029893.535 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029893.535 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029893.535 * [misc]taylor: Taking taylor expansion of (pow PI 2) in n 1537029893.535 * [misc]taylor: Taking taylor expansion of PI in n 1537029893.535 * [misc]backup-simplify: Simplify PI into PI 1537029893.536 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1537029893.536 * [misc]taylor: Taking taylor expansion of n in n 1537029893.536 * [misc]backup-simplify: Simplify 0 into 0 1537029893.536 * [misc]backup-simplify: Simplify 1 into 1 1537029893.536 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1537029893.537 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2)) 1537029893.539 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 2))) into (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))) 1537029893.539 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537029893.540 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))) 1) into (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))) 1537029893.541 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 1537029893.542 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 2))) into 0 1537029893.544 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537029893.544 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537029893.548 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537029893.548 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log (* 2 PI)) (log n)) k) (/ 0 k)))) into 0 1537029893.549 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ (- (log (* 2 PI)) (log n)) k))) into 0 1537029893.551 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1537029893.553 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (* 0 (* (sqrt 2) (pow PI 2)))) into 0 1537029893.553 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1537029893.556 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))) (/ 0 1)))) into 0 1537029893.557 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))))) into 0 1537029893.558 * [misc]backup-simplify: Simplify (- 0) into 0 1537029893.558 * [misc]backup-simplify: Simplify 0 into 0 1537029893.558 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 PI)) into 0 1537029893.560 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537029893.560 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537029893.564 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537029893.565 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log (* 2 PI)) (log n)) k) (/ 0 k)))) into 0 1537029893.566 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ (- (log (* 2 PI)) (log n)) k))) into 0 1537029893.568 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1537029893.569 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (* 0 (* (sqrt 2) PI))) into 0 1537029893.570 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI)) (/ 0 1)))) into 0 1537029893.572 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI)))) into 0 1537029893.572 * [misc]backup-simplify: Simplify (- 0) into 0 1537029893.572 * [misc]backup-simplify: Simplify 0 into 0 1537029893.572 * [misc]backup-simplify: Simplify 0 into 0 1537029893.573 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1537029893.574 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1537029893.576 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 (/ PI n)) (* +nan.0 (/ (pow PI 2) (pow n 2))))))) (* 2 0)) into (* +nan.0 (/ (pow PI 3) (pow n 3))) 1537029893.576 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537029893.577 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))))))) into 0 1537029893.579 * [misc]backup-simplify: Simplify (+ (* (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)) (* +nan.0 (/ (pow PI 3) (pow n 3)))) (+ (* 0 (* +nan.0 (/ (pow PI 2) (pow n 2)))) (+ (* 0 (* +nan.0 (/ PI n))) (* 0 0)))) into (- (* +nan.0 (/ (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 3))) (pow n 3)))) 1537029893.580 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 3))) (pow n 3)))) in n 1537029893.580 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 3))) (pow n 3))) in n 1537029893.580 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537029893.580 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537029893.580 * [misc]taylor: Taking taylor expansion of (/ (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 3))) (pow n 3)) in n 1537029893.580 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 3))) in n 1537029893.580 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) in n 1537029893.580 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (log (* 2 (/ PI n))) k)) in n 1537029893.580 * [misc]taylor: Taking taylor expansion of -1/2 in n 1537029893.580 * [misc]backup-simplify: Simplify -1/2 into -1/2 1537029893.580 * [misc]taylor: Taking taylor expansion of (/ (log (* 2 (/ PI n))) k) in n 1537029893.580 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1537029893.580 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537029893.580 * [misc]taylor: Taking taylor expansion of 2 in n 1537029893.580 * [misc]backup-simplify: Simplify 2 into 2 1537029893.580 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537029893.580 * [misc]taylor: Taking taylor expansion of PI in n 1537029893.580 * [misc]backup-simplify: Simplify PI into PI 1537029893.580 * [misc]taylor: Taking taylor expansion of n in n 1537029893.580 * [misc]backup-simplify: Simplify 0 into 0 1537029893.580 * [misc]backup-simplify: Simplify 1 into 1 1537029893.581 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537029893.581 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537029893.581 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537029893.581 * [misc]taylor: Taking taylor expansion of k in n 1537029893.581 * [misc]backup-simplify: Simplify k into k 1537029893.582 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537029893.583 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537029893.584 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) k) into (/ (- (log (* 2 PI)) (log n)) k) 1537029893.584 * [misc]backup-simplify: Simplify (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) into (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1537029893.585 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537029893.585 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow PI 3)) in n 1537029893.585 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537029893.585 * [misc]taylor: Taking taylor expansion of 2 in n 1537029893.585 * [misc]backup-simplify: Simplify 2 into 2 1537029893.585 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029893.586 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029893.586 * [misc]taylor: Taking taylor expansion of (pow PI 3) in n 1537029893.586 * [misc]taylor: Taking taylor expansion of PI in n 1537029893.586 * [misc]backup-simplify: Simplify PI into PI 1537029893.586 * [misc]taylor: Taking taylor expansion of (pow n 3) in n 1537029893.586 * [misc]taylor: Taking taylor expansion of n in n 1537029893.586 * [misc]backup-simplify: Simplify 0 into 0 1537029893.586 * [misc]backup-simplify: Simplify 1 into 1 1537029893.586 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1537029893.587 * [misc]backup-simplify: Simplify (* PI (pow PI 2)) into (pow PI 3) 1537029893.588 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 3)) into (* (sqrt 2) (pow PI 3)) 1537029893.589 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 3))) into (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3))) 1537029893.590 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537029893.590 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537029893.591 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3))) 1) into (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3))) 1537029893.593 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 1537029893.594 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 1537029893.596 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 1537029893.597 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (pow PI 2))) into 0 1537029893.598 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1537029893.600 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (pow PI 3)))) into 0 1537029893.602 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537029893.602 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537029893.606 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537029893.606 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log (* 2 PI)) (log n)) k) (/ 0 k)))) into 0 1537029893.607 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ (- (log (* 2 PI)) (log n)) k))) into 0 1537029893.609 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1537029893.610 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 3))) into 0 1537029893.612 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029893.613 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1537029893.619 * [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 1537029893.621 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log (* 2 PI)) (log n)) k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537029893.622 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ (- (log (* 2 PI)) (log n)) k)))) into 0 1537029893.624 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1537029893.627 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (+ (* 0 0) (* 0 (* (sqrt 2) (pow PI 3))))) into 0 1537029893.627 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1537029893.627 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1537029893.628 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1537029893.630 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (* 0 (* (sqrt 2) (pow PI 3)))) into 0 1537029893.630 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1537029893.632 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3))) (/ 0 1)))) into 0 1537029893.636 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029893.639 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3)))))) into 0 1537029893.639 * [misc]backup-simplify: Simplify (- 0) into 0 1537029893.639 * [misc]backup-simplify: Simplify 0 into 0 1537029893.640 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 1537029893.642 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1537029893.643 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 1537029893.644 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029893.645 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1537029893.648 * [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 1537029893.649 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log (* 2 PI)) (log n)) k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537029893.650 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ (- (log (* 2 PI)) (log n)) k)))) into 0 1537029893.651 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1537029893.653 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (+ (* 0 0) (* 0 (* (sqrt 2) (pow PI 2))))) into 0 1537029893.653 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1537029893.654 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029893.655 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2)))))) into 0 1537029893.656 * [misc]backup-simplify: Simplify (- 0) into 0 1537029893.656 * [misc]backup-simplify: Simplify 0 into 0 1537029893.657 * [misc]backup-simplify: Simplify (* (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k)))) PI)))) (* (/ 1 (/ 1 n)) (/ 1 k))) into (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (* n PI))) k)) 1537029893.657 * [misc]backup-simplify: Simplify (/ 1 (/ (/ (sqrt (/ 1 (- k))) (pow (* PI (* (/ 1 (- n)) 2)) (- (/ (/ 1 (- k)) 2)))) (sqrt (* (* 2 (/ 1 (- n))) PI)))) into (/ (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) (sqrt (/ -1 k))) 1537029893.657 * [misc]approximate: Taking taylor expansion of (/ (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) (sqrt (/ -1 k))) in (k n) around 0 1537029893.657 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) (sqrt (/ -1 k))) in n 1537029893.657 * [misc]taylor: Taking taylor expansion of (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) in n 1537029893.657 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1537029893.657 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537029893.657 * [misc]taylor: Taking taylor expansion of -2 in n 1537029893.657 * [misc]backup-simplify: Simplify -2 into -2 1537029893.657 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537029893.657 * [misc]taylor: Taking taylor expansion of PI in n 1537029893.657 * [misc]backup-simplify: Simplify PI into PI 1537029893.657 * [misc]taylor: Taking taylor expansion of n in n 1537029893.657 * [misc]backup-simplify: Simplify 0 into 0 1537029893.657 * [misc]backup-simplify: Simplify 1 into 1 1537029893.657 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537029893.658 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537029893.658 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537029893.658 * [misc]backup-simplify: Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1537029893.658 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) in n 1537029893.658 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) in n 1537029893.658 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n)))) in n 1537029893.658 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1537029893.658 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537029893.658 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029893.658 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1537029893.658 * [misc]taylor: Taking taylor expansion of k in n 1537029893.658 * [misc]backup-simplify: Simplify k into k 1537029893.658 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1537029893.658 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1537029893.659 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537029893.659 * [misc]taylor: Taking taylor expansion of -2 in n 1537029893.659 * [misc]backup-simplify: Simplify -2 into -2 1537029893.659 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537029893.659 * [misc]taylor: Taking taylor expansion of PI in n 1537029893.659 * [misc]backup-simplify: Simplify PI into PI 1537029893.659 * [misc]taylor: Taking taylor expansion of n in n 1537029893.659 * [misc]backup-simplify: Simplify 0 into 0 1537029893.659 * [misc]backup-simplify: Simplify 1 into 1 1537029893.659 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537029893.659 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537029893.659 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537029893.659 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1537029893.660 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537029893.660 * [misc]backup-simplify: Simplify (* (/ 1/2 k) (- (log (* -2 PI)) (log n))) into (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) 1537029893.661 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1537029893.661 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1537029893.661 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1537029893.661 * [misc]taylor: Taking taylor expansion of -1 in n 1537029893.661 * [misc]backup-simplify: Simplify -1 into -1 1537029893.661 * [misc]taylor: Taking taylor expansion of k in n 1537029893.661 * [misc]backup-simplify: Simplify k into k 1537029893.661 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1537029893.661 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1537029893.661 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1537029893.661 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1537029893.662 * [misc]backup-simplify: Simplify (* 0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) into 0 1537029893.662 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537029893.663 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537029893.665 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1537029893.665 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1537029893.665 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1537029893.665 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537029893.666 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1537029893.667 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1537029893.668 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (* +nan.0 PI) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1537029893.668 * [misc]backup-simplify: Simplify (/ (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) (sqrt (/ -1 k))) into (* +nan.0 (/ (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k)))) 1537029893.668 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) (sqrt (/ -1 k))) in k 1537029893.668 * [misc]taylor: Taking taylor expansion of (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) in k 1537029893.668 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in k 1537029893.668 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1537029893.668 * [misc]taylor: Taking taylor expansion of -2 in k 1537029893.668 * [misc]backup-simplify: Simplify -2 into -2 1537029893.668 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1537029893.668 * [misc]taylor: Taking taylor expansion of PI in k 1537029893.668 * [misc]backup-simplify: Simplify PI into PI 1537029893.669 * [misc]taylor: Taking taylor expansion of n in k 1537029893.669 * [misc]backup-simplify: Simplify n into n 1537029893.669 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537029893.669 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1537029893.669 * [misc]backup-simplify: Simplify (sqrt (* -2 (/ PI n))) into (sqrt (* -2 (/ PI n))) 1537029893.669 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 1537029893.669 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (/ PI n))) into 0 1537029893.669 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* -2 (/ PI n))))) into 0 1537029893.669 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) in k 1537029893.669 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) in k 1537029893.669 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n)))) in k 1537029893.669 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1537029893.669 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537029893.669 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029893.669 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1537029893.669 * [misc]taylor: Taking taylor expansion of k in k 1537029893.669 * [misc]backup-simplify: Simplify 0 into 0 1537029893.669 * [misc]backup-simplify: Simplify 1 into 1 1537029893.669 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1537029893.670 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1537029893.670 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1537029893.670 * [misc]taylor: Taking taylor expansion of -2 in k 1537029893.670 * [misc]backup-simplify: Simplify -2 into -2 1537029893.670 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1537029893.670 * [misc]taylor: Taking taylor expansion of PI in k 1537029893.670 * [misc]backup-simplify: Simplify PI into PI 1537029893.670 * [misc]taylor: Taking taylor expansion of n in k 1537029893.670 * [misc]backup-simplify: Simplify n into n 1537029893.670 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537029893.670 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1537029893.670 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1537029893.670 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1537029893.670 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1537029893.670 * [misc]backup-simplify: Simplify (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))) 1537029893.670 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1537029893.670 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1537029893.670 * [misc]taylor: Taking taylor expansion of -1 in k 1537029893.670 * [misc]backup-simplify: Simplify -1 into -1 1537029893.670 * [misc]taylor: Taking taylor expansion of k in k 1537029893.670 * [misc]backup-simplify: Simplify 0 into 0 1537029893.670 * [misc]backup-simplify: Simplify 1 into 1 1537029893.670 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1537029893.671 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537029893.671 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1537029893.671 * [misc]backup-simplify: Simplify (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))) into (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))) 1537029893.671 * [misc]backup-simplify: Simplify (/ (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))) +nan.0) into (* +nan.0 (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))))) 1537029893.671 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) (sqrt (/ -1 k))) in k 1537029893.671 * [misc]taylor: Taking taylor expansion of (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) in k 1537029893.672 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in k 1537029893.672 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1537029893.672 * [misc]taylor: Taking taylor expansion of -2 in k 1537029893.672 * [misc]backup-simplify: Simplify -2 into -2 1537029893.672 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1537029893.672 * [misc]taylor: Taking taylor expansion of PI in k 1537029893.672 * [misc]backup-simplify: Simplify PI into PI 1537029893.672 * [misc]taylor: Taking taylor expansion of n in k 1537029893.672 * [misc]backup-simplify: Simplify n into n 1537029893.672 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537029893.672 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1537029893.672 * [misc]backup-simplify: Simplify (sqrt (* -2 (/ PI n))) into (sqrt (* -2 (/ PI n))) 1537029893.672 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 1537029893.672 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (/ PI n))) into 0 1537029893.672 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* -2 (/ PI n))))) into 0 1537029893.672 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) in k 1537029893.672 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) in k 1537029893.672 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n)))) in k 1537029893.672 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1537029893.672 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537029893.672 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029893.672 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1537029893.672 * [misc]taylor: Taking taylor expansion of k in k 1537029893.673 * [misc]backup-simplify: Simplify 0 into 0 1537029893.673 * [misc]backup-simplify: Simplify 1 into 1 1537029893.673 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1537029893.673 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1537029893.673 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1537029893.673 * [misc]taylor: Taking taylor expansion of -2 in k 1537029893.673 * [misc]backup-simplify: Simplify -2 into -2 1537029893.673 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1537029893.673 * [misc]taylor: Taking taylor expansion of PI in k 1537029893.673 * [misc]backup-simplify: Simplify PI into PI 1537029893.673 * [misc]taylor: Taking taylor expansion of n in k 1537029893.673 * [misc]backup-simplify: Simplify n into n 1537029893.673 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537029893.673 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1537029893.673 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1537029893.674 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1537029893.674 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1537029893.674 * [misc]backup-simplify: Simplify (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))) 1537029893.674 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1537029893.674 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1537029893.674 * [misc]taylor: Taking taylor expansion of -1 in k 1537029893.674 * [misc]backup-simplify: Simplify -1 into -1 1537029893.674 * [misc]taylor: Taking taylor expansion of k in k 1537029893.674 * [misc]backup-simplify: Simplify 0 into 0 1537029893.674 * [misc]backup-simplify: Simplify 1 into 1 1537029893.674 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1537029893.674 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537029893.675 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1537029893.675 * [misc]backup-simplify: Simplify (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))) into (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))) 1537029893.675 * [misc]backup-simplify: Simplify (/ (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))) +nan.0) into (* +nan.0 (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))))) 1537029893.675 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))))) in n 1537029893.675 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537029893.675 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537029893.675 * [misc]taylor: Taking taylor expansion of (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))) in n 1537029893.675 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1537029893.675 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537029893.675 * [misc]taylor: Taking taylor expansion of -2 in n 1537029893.675 * [misc]backup-simplify: Simplify -2 into -2 1537029893.675 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537029893.675 * [misc]taylor: Taking taylor expansion of PI in n 1537029893.675 * [misc]backup-simplify: Simplify PI into PI 1537029893.675 * [misc]taylor: Taking taylor expansion of n in n 1537029893.675 * [misc]backup-simplify: Simplify 0 into 0 1537029893.675 * [misc]backup-simplify: Simplify 1 into 1 1537029893.676 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537029893.676 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537029893.676 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537029893.676 * [misc]backup-simplify: Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1537029893.676 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))) in n 1537029893.676 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (log (* -2 (/ PI n))) k)) in n 1537029893.676 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537029893.677 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029893.677 * [misc]taylor: Taking taylor expansion of (/ (log (* -2 (/ PI n))) k) in n 1537029893.677 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1537029893.677 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537029893.677 * [misc]taylor: Taking taylor expansion of -2 in n 1537029893.677 * [misc]backup-simplify: Simplify -2 into -2 1537029893.677 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537029893.677 * [misc]taylor: Taking taylor expansion of PI in n 1537029893.677 * [misc]backup-simplify: Simplify PI into PI 1537029893.677 * [misc]taylor: Taking taylor expansion of n in n 1537029893.677 * [misc]backup-simplify: Simplify 0 into 0 1537029893.677 * [misc]backup-simplify: Simplify 1 into 1 1537029893.677 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537029893.677 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537029893.677 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537029893.677 * [misc]taylor: Taking taylor expansion of k in n 1537029893.677 * [misc]backup-simplify: Simplify k into k 1537029893.678 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537029893.678 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537029893.679 * [misc]backup-simplify: Simplify (/ (- (log (* -2 PI)) (log n)) k) into (/ (- (log (* -2 PI)) (log n)) k) 1537029893.679 * [misc]backup-simplify: Simplify (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) into (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) 1537029893.680 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1537029893.680 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537029893.681 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537029893.683 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1537029893.683 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log (* -2 PI)) (log n)) k) (/ 0 k)))) into 0 1537029893.684 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ (- (log (* -2 PI)) (log n)) k))) into 0 1537029893.685 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1537029893.686 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (* +nan.0 PI) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1537029893.686 * [misc]backup-simplify: Simplify (* 0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) into 0 1537029893.687 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))))) (* 0 0)) into (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1537029893.688 * [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)))))) 1537029893.688 * [misc]backup-simplify: Simplify (+ (* (sqrt (* -2 (/ PI n))) 0) (* 0 (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))))) into 0 1537029893.688 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1537029893.689 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1537029893.689 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))))) 1537029893.690 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))))) in n 1537029893.690 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))))) in n 1537029893.690 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537029893.690 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537029893.690 * [misc]taylor: Taking taylor expansion of (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))) in n 1537029893.690 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1537029893.690 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537029893.690 * [misc]taylor: Taking taylor expansion of -2 in n 1537029893.690 * [misc]backup-simplify: Simplify -2 into -2 1537029893.690 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537029893.690 * [misc]taylor: Taking taylor expansion of PI in n 1537029893.690 * [misc]backup-simplify: Simplify PI into PI 1537029893.690 * [misc]taylor: Taking taylor expansion of n in n 1537029893.690 * [misc]backup-simplify: Simplify 0 into 0 1537029893.690 * [misc]backup-simplify: Simplify 1 into 1 1537029893.690 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537029893.690 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537029893.690 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537029893.691 * [misc]backup-simplify: Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1537029893.691 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))) in n 1537029893.691 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (log (* -2 (/ PI n))) k)) in n 1537029893.691 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537029893.691 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537029893.691 * [misc]taylor: Taking taylor expansion of (/ (log (* -2 (/ PI n))) k) in n 1537029893.691 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1537029893.691 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537029893.691 * [misc]taylor: Taking taylor expansion of -2 in n 1537029893.691 * [misc]backup-simplify: Simplify -2 into -2 1537029893.691 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537029893.691 * [misc]taylor: Taking taylor expansion of PI in n 1537029893.691 * [misc]backup-simplify: Simplify PI into PI 1537029893.691 * [misc]taylor: Taking taylor expansion of n in n 1537029893.691 * [misc]backup-simplify: Simplify 0 into 0 1537029893.691 * [misc]backup-simplify: Simplify 1 into 1 1537029893.691 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537029893.691 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537029893.692 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537029893.692 * [misc]taylor: Taking taylor expansion of k in n 1537029893.692 * [misc]backup-simplify: Simplify k into k 1537029893.692 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537029893.693 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537029893.693 * [misc]backup-simplify: Simplify (/ (- (log (* -2 PI)) (log n)) k) into (/ (- (log (* -2 PI)) (log n)) k) 1537029893.694 * [misc]backup-simplify: Simplify (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) into (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) 1537029893.694 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1537029893.695 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537029893.695 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537029893.697 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1537029893.698 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log (* -2 PI)) (log n)) k) (/ 0 k)))) into 0 1537029893.698 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ (- (log (* -2 PI)) (log n)) k))) into 0 1537029893.699 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1537029893.700 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (* +nan.0 PI) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1537029893.700 * [misc]backup-simplify: Simplify (* 0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) into 0 1537029893.701 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))))) (* 0 0)) into (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1537029893.702 * [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)))))) 1537029893.702 * [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)))))) 1537029893.703 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029893.705 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1537029893.711 * [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 1537029893.712 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log (* -2 PI)) (log n)) k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537029893.713 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ (- (log (* -2 PI)) (log n)) k)))) into 0 1537029893.715 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1537029893.717 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537029893.717 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537029893.719 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1537029893.722 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (* +nan.0 PI) 0) (* (* +nan.0 (pow PI 2)) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (- (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1537029893.725 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))))) (+ (* 0 (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))))) (* 0 0))) into (- (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1537029893.727 * [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)))))) 1537029893.732 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k)))))))) (* (/ 1 (- n)) 1)) (+ (* (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k)))))))) (* 1 (/ 1 (- k)))) (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k)))))))))) into (- (+ (* +nan.0 (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) PI)) (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) PI) k)) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) (pow PI 2)) n))))))) 1537029893.732 * * * [misc]progress: simplifying candidates 1537029893.732 * * * * [misc]progress: [ 1 / 243 ] simplifiying candidate # 1537029893.733 * * * * [misc]progress: [ 2 / 243 ] simplifiying candidate # 1537029893.733 * * * * [misc]progress: [ 3 / 243 ] simplifiying candidate # 1537029893.733 * * * * [misc]progress: [ 4 / 243 ] simplifiying candidate # 1537029893.733 * * * * [misc]progress: [ 5 / 243 ] simplifiying candidate # 1537029893.733 * * * * [misc]progress: [ 6 / 243 ] simplifiying candidate # 1537029893.733 * * * * [misc]progress: [ 7 / 243 ] simplifiying candidate # 1537029893.733 * * * * [misc]progress: [ 8 / 243 ] simplifiying candidate # 1537029893.733 * * * * [misc]progress: [ 9 / 243 ] simplifiying candidate # 1537029893.733 * * * * [misc]progress: [ 10 / 243 ] simplifiying candidate # 1537029893.733 * * * * [misc]progress: [ 11 / 243 ] simplifiying candidate # 1537029893.733 * * * * [misc]progress: [ 12 / 243 ] simplifiying candidate # 1537029893.733 * * * * [misc]progress: [ 13 / 243 ] simplifiying candidate # 1537029893.733 * * * * [misc]progress: [ 14 / 243 ] simplifiying candidate # 1537029893.733 * * * * [misc]progress: [ 15 / 243 ] simplifiying candidate # 1537029893.733 * * * * [misc]progress: [ 16 / 243 ] simplifiying candidate # 1537029893.733 * * * * [misc]progress: [ 17 / 243 ] simplifiying candidate # 1537029893.734 * * * * [misc]progress: [ 18 / 243 ] simplifiying candidate # 1537029893.734 * * * * [misc]progress: [ 19 / 243 ] simplifiying candidate # 1537029893.734 * * * * [misc]progress: [ 20 / 243 ] simplifiying candidate # 1537029893.734 * * * * [misc]progress: [ 21 / 243 ] simplifiying candidate # 1537029893.734 * * * * [misc]progress: [ 22 / 243 ] simplifiying candidate # 1537029893.734 * * * * [misc]progress: [ 23 / 243 ] simplifiying candidate # 1537029893.734 * * * * [misc]progress: [ 24 / 243 ] simplifiying candidate # 1537029893.734 * * * * [misc]progress: [ 25 / 243 ] simplifiying candidate # 1537029893.734 * * * * [misc]progress: [ 26 / 243 ] simplifiying candidate # 1537029893.734 * [enter]simplify: Simplifying (- (- (log (sqrt k)) (* (log (* PI (* n 2))) (- (/ k 2)))) (log (sqrt (* (* 2 n) PI)))) 1537029893.737 * * [misc]simplify: iters left: 6 (18 enodes) 1537029893.748 * * [misc]simplify: iters left: 5 (37 enodes) 1537029893.764 * * [misc]simplify: iters left: 4 (78 enodes) 1537029893.797 * * [misc]simplify: iters left: 3 (223 enodes) 1537029893.981 * [exit]simplify: Simplified to (- (fma (log (* (* PI 2) n)) (/ k 2) (log (sqrt k))) (log (sqrt (* (* PI 2) n)))) 1537029893.981 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (fma (log (* (* PI 2) n)) (/ k 2) (log (sqrt k))) (log (sqrt (* (* PI 2) n))))))) 1537029893.981 * * * * [misc]progress: [ 27 / 243 ] simplifiying candidate # 1537029893.982 * [enter]simplify: Simplifying (- (- (log (sqrt k)) (* (log (* PI (* n 2))) (- (/ k 2)))) (log (sqrt (* (* 2 n) PI)))) 1537029893.983 * * [misc]simplify: iters left: 6 (18 enodes) 1537029893.988 * * [misc]simplify: iters left: 5 (37 enodes) 1537029894.003 * * [misc]simplify: iters left: 4 (78 enodes) 1537029894.060 * * [misc]simplify: iters left: 3 (223 enodes) 1537029894.271 * [exit]simplify: Simplified to (- (fma (log (* (* PI 2) n)) (/ k 2) (log (sqrt k))) (log (sqrt (* (* PI 2) n)))) 1537029894.271 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (fma (log (* (* PI 2) n)) (/ k 2) (log (sqrt k))) (log (sqrt (* (* PI 2) n))))))) 1537029894.271 * * * * [misc]progress: [ 28 / 243 ] simplifiying candidate # 1537029894.272 * [enter]simplify: Simplifying (- (- (log (sqrt k)) (log (pow (* PI (* n 2)) (- (/ k 2))))) (log (sqrt (* (* 2 n) PI)))) 1537029894.274 * * [misc]simplify: iters left: 6 (18 enodes) 1537029894.282 * * [misc]simplify: iters left: 5 (33 enodes) 1537029894.298 * * [misc]simplify: iters left: 4 (65 enodes) 1537029894.338 * * [misc]simplify: iters left: 3 (174 enodes) 1537029894.525 * [exit]simplify: Simplified to (- (fma (/ k 2) (log (* (* PI n) 2)) (log (sqrt k))) (log (sqrt (* (* PI n) 2)))) 1537029894.525 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (fma (/ k 2) (log (* (* PI n) 2)) (log (sqrt k))) (log (sqrt (* (* PI n) 2))))))) 1537029894.525 * * * * [misc]progress: [ 29 / 243 ] simplifiying candidate # 1537029894.526 * [enter]simplify: Simplifying (- (log (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (log (sqrt (* (* 2 n) PI)))) 1537029894.527 * * [misc]simplify: iters left: 6 (17 enodes) 1537029894.531 * * [misc]simplify: iters left: 5 (29 enodes) 1537029894.539 * * [misc]simplify: iters left: 4 (42 enodes) 1537029894.554 * * [misc]simplify: iters left: 3 (83 enodes) 1537029894.605 * * [misc]simplify: iters left: 2 (220 enodes) 1537029894.870 * [exit]simplify: Simplified to (- (fma (/ k 2) (log (* 2 (* PI n))) (log (sqrt k))) (log (sqrt (* 2 (* PI n))))) 1537029894.870 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (fma (/ k 2) (log (* 2 (* PI n))) (log (sqrt k))) (log (sqrt (* 2 (* PI n)))))))) 1537029894.870 * * * * [misc]progress: [ 30 / 243 ] simplifiying candidate # 1537029894.871 * * * * [misc]progress: [ 31 / 243 ] simplifiying candidate # 1537029894.871 * * * * [misc]progress: [ 32 / 243 ] simplifiying candidate # 1537029894.871 * [enter]simplify: Simplifying (/ (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* PI (* n 2)) (- (/ k 2))) (pow (* PI (* n 2)) (- (/ k 2)))) (pow (* PI (* n 2)) (- (/ k 2))))) (* (* (sqrt (* (* 2 n) PI)) (sqrt (* (* 2 n) PI))) (sqrt (* (* 2 n) PI)))) 1537029894.873 * * [misc]simplify: iters left: 6 (21 enodes) 1537029894.885 * * [misc]simplify: iters left: 5 (43 enodes) 1537029894.915 * * [misc]simplify: iters left: 4 (141 enodes) 1537029895.105 * [exit]simplify: Simplified to (/ (/ (/ (* k (sqrt k)) (* 2 (* PI n))) (sqrt (* 2 (* PI n)))) (pow (pow (* 2 (* PI n)) (- (/ k 2))) 3)) 1537029895.105 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (cbrt (/ (/ (/ (* k (sqrt k)) (* 2 (* PI n))) (sqrt (* 2 (* PI n)))) (pow (pow (* 2 (* PI n)) (- (/ k 2))) 3))))) 1537029895.105 * * * * [misc]progress: [ 33 / 243 ] simplifiying candidate # 1537029895.106 * [enter]simplify: Simplifying (/ (* (* (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (* (* (sqrt (* (* 2 n) PI)) (sqrt (* (* 2 n) PI))) (sqrt (* (* 2 n) PI)))) 1537029895.108 * * [misc]simplify: iters left: 6 (19 enodes) 1537029895.119 * * [misc]simplify: iters left: 5 (42 enodes) 1537029895.154 * * [misc]simplify: iters left: 4 (152 enodes) 1537029895.370 * [exit]simplify: Simplified to (* (/ (sqrt k) (* (pow (* 2 (* PI n)) (- (/ k 2))) (* 2 (* PI n)))) (/ (/ k (pow (* 2 (* PI n)) (- (/ k 2)))) (* (pow (* 2 (* PI n)) (- (/ k 2))) (sqrt (* 2 (* PI n)))))) 1537029895.370 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (cbrt (* (/ (sqrt k) (* (pow (* 2 (* PI n)) (- (/ k 2))) (* 2 (* PI n)))) (/ (/ k (pow (* 2 (* PI n)) (- (/ k 2)))) (* (pow (* 2 (* PI n)) (- (/ k 2))) (sqrt (* 2 (* PI n))))))))) 1537029895.370 * * * * [misc]progress: [ 34 / 243 ] simplifiying candidate # 1537029895.370 * * * * [misc]progress: [ 35 / 243 ] simplifiying candidate # 1537029895.371 * * * * [misc]progress: [ 36 / 243 ] simplifiying candidate # 1537029895.371 * * * * [misc]progress: [ 37 / 243 ] simplifiying candidate # 1537029895.371 * * * * [misc]progress: [ 38 / 243 ] simplifiying candidate # 1537029895.371 * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) 1537029895.373 * * [misc]simplify: iters left: 6 (19 enodes) 1537029895.381 * * [misc]simplify: iters left: 5 (33 enodes) 1537029895.387 * * [misc]simplify: iters left: 4 (46 enodes) 1537029895.396 * * [misc]simplify: iters left: 3 (51 enodes) 1537029895.403 * * [misc]simplify: iters left: 2 (54 enodes) 1537029895.414 * [exit]simplify: Simplified to (* (/ (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- k) 2)))) (cbrt (sqrt (* PI (* n 2))))) (/ (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- k) 2)))) (cbrt (sqrt (* PI (* n 2)))))) 1537029895.414 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (/ (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- k) 2)))) (cbrt (sqrt (* PI (* n 2))))) (/ (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- k) 2)))) (cbrt (sqrt (* PI (* n 2)))))) (/ (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (sqrt (* (* 2 n) PI))))))) 1537029895.414 * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (sqrt (* (* 2 n) PI)))) 1537029895.415 * * [misc]simplify: iters left: 6 (17 enodes) 1537029895.422 * * [misc]simplify: iters left: 5 (24 enodes) 1537029895.430 * * [misc]simplify: iters left: 4 (28 enodes) 1537029895.439 * * [misc]simplify: iters left: 3 (29 enodes) 1537029895.448 * [exit]simplify: Simplified to (/ (cbrt (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))) (cbrt (sqrt (* 2 (* PI n))))) 1537029895.448 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) (/ (cbrt (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))) (cbrt (sqrt (* 2 (* PI n)))))))) 1537029895.449 * * * * [misc]progress: [ 39 / 243 ] simplifiying candidate # 1537029895.449 * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) (sqrt (* 2 n))) 1537029895.450 * * [misc]simplify: iters left: 6 (16 enodes) 1537029895.453 * * [misc]simplify: iters left: 5 (23 enodes) 1537029895.457 * * [misc]simplify: iters left: 4 (31 enodes) 1537029895.462 * * [misc]simplify: iters left: 3 (34 enodes) 1537029895.469 * [exit]simplify: Simplified to (/ (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2))))) (/ (sqrt (* n 2)) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2))))))) 1537029895.470 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2))))) (/ (sqrt (* n 2)) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2))))))) (/ (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt PI))))) 1537029895.470 * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt PI)) 1537029895.472 * * [misc]simplify: iters left: 6 (14 enodes) 1537029895.475 * * [misc]simplify: iters left: 5 (20 enodes) 1537029895.478 * * [misc]simplify: iters left: 4 (26 enodes) 1537029895.482 * * [misc]simplify: iters left: 3 (28 enodes) 1537029895.487 * [exit]simplify: Simplified to (/ (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- k) 2)))) (sqrt PI)) 1537029895.487 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) (sqrt (* 2 n))) (/ (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- k) 2)))) (sqrt PI))))) 1537029895.487 * * * * [misc]progress: [ 40 / 243 ] simplifiying candidate # 1537029895.488 * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) (sqrt (sqrt (* (* 2 n) PI)))) 1537029895.489 * * [misc]simplify: iters left: 6 (18 enodes) 1537029895.493 * * [misc]simplify: iters left: 5 (28 enodes) 1537029895.498 * * [misc]simplify: iters left: 4 (34 enodes) 1537029895.503 * * [misc]simplify: iters left: 3 (37 enodes) 1537029895.510 * [exit]simplify: Simplified to (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- k) 2)))) (/ (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- k) 2)))) (sqrt (sqrt (* PI (* n 2)))))) 1537029895.511 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- k) 2)))) (/ (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- k) 2)))) (sqrt (sqrt (* PI (* n 2)))))) (/ (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (* (* 2 n) PI))))))) 1537029895.511 * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (* (* 2 n) PI)))) 1537029895.512 * * [misc]simplify: iters left: 6 (17 enodes) 1537029895.515 * * [misc]simplify: iters left: 5 (24 enodes) 1537029895.519 * * [misc]simplify: iters left: 4 (28 enodes) 1537029895.524 * * [misc]simplify: iters left: 3 (29 enodes) 1537029895.529 * [exit]simplify: Simplified to (/ (cbrt (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))) (sqrt (sqrt (* 2 (* PI n))))) 1537029895.529 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) (sqrt (sqrt (* (* 2 n) PI)))) (/ (cbrt (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))) (sqrt (sqrt (* 2 (* PI n)))))))) 1537029895.529 * * * * [misc]progress: [ 41 / 243 ] simplifiying candidate # 1537029895.529 * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1) 1537029895.530 * * [misc]simplify: iters left: 6 (15 enodes) 1537029895.535 * * [misc]simplify: iters left: 5 (25 enodes) 1537029895.540 * * [misc]simplify: iters left: 4 (37 enodes) 1537029895.547 * * [misc]simplify: iters left: 3 (53 enodes) 1537029895.565 * * [misc]simplify: iters left: 2 (79 enodes) 1537029895.588 * [exit]simplify: Simplified to (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2)))))) 1537029895.588 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2)))))) (/ (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (* 2 n) PI)))))) 1537029895.588 * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (* 2 n) PI))) 1537029895.590 * * [misc]simplify: iters left: 6 (16 enodes) 1537029895.596 * * [misc]simplify: iters left: 5 (23 enodes) 1537029895.604 * * [misc]simplify: iters left: 4 (27 enodes) 1537029895.610 * * [misc]simplify: iters left: 3 (28 enodes) 1537029895.615 * [exit]simplify: Simplified to (/ (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2))))) (sqrt (* n (* 2 PI)))) 1537029895.615 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2)))))) (/ (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2))))) (sqrt (* n (* 2 PI))))))) 1537029895.615 * * * * [misc]progress: [ 42 / 243 ] simplifiying candidate # 1537029895.615 * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) 1537029895.616 * * [misc]simplify: iters left: 6 (18 enodes) 1537029895.620 * * [misc]simplify: iters left: 5 (27 enodes) 1537029895.625 * * [misc]simplify: iters left: 4 (31 enodes) 1537029895.631 * * [misc]simplify: iters left: 3 (32 enodes) 1537029895.637 * [exit]simplify: Simplified to (/ (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2)))) (* (cbrt (sqrt (* n (* 2 PI)))) (cbrt (sqrt (* n (* 2 PI)))))) 1537029895.637 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2)))) (* (cbrt (sqrt (* n (* 2 PI)))) (cbrt (sqrt (* n (* 2 PI)))))) (/ (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (sqrt (* (* 2 n) PI))))))) 1537029895.638 * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (sqrt (* (* 2 n) PI)))) 1537029895.639 * * [misc]simplify: iters left: 6 (17 enodes) 1537029895.642 * * [misc]simplify: iters left: 5 (24 enodes) 1537029895.646 * * [misc]simplify: iters left: 4 (28 enodes) 1537029895.651 * * [misc]simplify: iters left: 3 (29 enodes) 1537029895.656 * [exit]simplify: Simplified to (/ (sqrt (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))) (cbrt (sqrt (* 2 (* PI n))))) 1537029895.656 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) (/ (sqrt (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))) (cbrt (sqrt (* 2 (* PI n)))))))) 1537029895.656 * * * * [misc]progress: [ 43 / 243 ] simplifiying candidate # 1537029895.656 * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* 2 n))) 1537029895.657 * * [misc]simplify: iters left: 6 (15 enodes) 1537029895.660 * * [misc]simplify: iters left: 5 (20 enodes) 1537029895.664 * * [misc]simplify: iters left: 4 (26 enodes) 1537029895.668 * * [misc]simplify: iters left: 3 (28 enodes) 1537029895.673 * [exit]simplify: Simplified to (/ (sqrt (/ (sqrt k) (pow (* 2 (* PI n)) (/ (- k) 2)))) (sqrt (* n 2))) 1537029895.673 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (/ (sqrt k) (pow (* 2 (* PI n)) (/ (- k) 2)))) (sqrt (* n 2))) (/ (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt PI))))) 1537029895.673 * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt PI)) 1537029895.674 * * [misc]simplify: iters left: 6 (14 enodes) 1537029895.677 * * [misc]simplify: iters left: 5 (20 enodes) 1537029895.681 * * [misc]simplify: iters left: 4 (26 enodes) 1537029895.685 * * [misc]simplify: iters left: 3 (28 enodes) 1537029895.690 * [exit]simplify: Simplified to (/ (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- k) 2)))) (sqrt PI)) 1537029895.690 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* 2 n))) (/ (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- k) 2)))) (sqrt PI))))) 1537029895.690 * * * * [misc]progress: [ 44 / 243 ] simplifiying candidate # 1537029895.690 * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (* (* 2 n) PI)))) 1537029895.692 * * [misc]simplify: iters left: 6 (17 enodes) 1537029895.702 * * [misc]simplify: iters left: 5 (24 enodes) 1537029895.710 * * [misc]simplify: iters left: 4 (28 enodes) 1537029895.719 * * [misc]simplify: iters left: 3 (29 enodes) 1537029895.730 * [exit]simplify: Simplified to (/ (sqrt (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))) (sqrt (sqrt (* 2 (* PI n))))) 1537029895.730 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))) (sqrt (sqrt (* 2 (* PI n))))) (/ (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (* (* 2 n) PI))))))) 1537029895.730 * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (* (* 2 n) PI)))) 1537029895.732 * * [misc]simplify: iters left: 6 (17 enodes) 1537029895.739 * * [misc]simplify: iters left: 5 (24 enodes) 1537029895.747 * * [misc]simplify: iters left: 4 (28 enodes) 1537029895.756 * * [misc]simplify: iters left: 3 (29 enodes) 1537029895.766 * [exit]simplify: Simplified to (/ (sqrt (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))) (sqrt (sqrt (* 2 (* PI n))))) 1537029895.766 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (* (* 2 n) PI)))) (/ (sqrt (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))) (sqrt (sqrt (* 2 (* PI n)))))))) 1537029895.767 * * * * [misc]progress: [ 45 / 243 ] simplifiying candidate # 1537029895.767 * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) 1) 1537029895.768 * * [misc]simplify: iters left: 6 (14 enodes) 1537029895.774 * * [misc]simplify: iters left: 5 (22 enodes) 1537029895.783 * * [misc]simplify: iters left: 4 (30 enodes) 1537029895.791 * * [misc]simplify: iters left: 3 (32 enodes) 1537029895.801 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) 1537029895.801 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (/ (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (* 2 n) PI)))))) 1537029895.802 * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (* 2 n) PI))) 1537029895.803 * * [misc]simplify: iters left: 6 (16 enodes) 1537029895.810 * * [misc]simplify: iters left: 5 (23 enodes) 1537029895.818 * * [misc]simplify: iters left: 4 (27 enodes) 1537029895.829 * * [misc]simplify: iters left: 3 (28 enodes) 1537029895.839 * [exit]simplify: Simplified to (/ (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2))))) (sqrt (* n (* 2 PI)))) 1537029895.839 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (/ (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2))))) (sqrt (* n (* 2 PI))))))) 1537029895.839 * * * * [misc]progress: [ 46 / 243 ] simplifiying candidate # 1537029895.839 * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- (/ k 2)))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) 1537029895.841 * * [misc]simplify: iters left: 6 (17 enodes) 1537029895.849 * * [misc]simplify: iters left: 5 (29 enodes) 1537029895.862 * * [misc]simplify: iters left: 4 (49 enodes) 1537029895.884 * * [misc]simplify: iters left: 3 (85 enodes) 1537029895.918 * * [misc]simplify: iters left: 2 (124 enodes) 1537029895.966 * * [misc]simplify: iters left: 1 (145 enodes) 1537029896.030 * [exit]simplify: Simplified to (* (/ (/ (cbrt (sqrt k)) (pow PI (- (/ k 2)))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* 2 n) PI))))) 1537029896.030 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (/ (/ (cbrt (sqrt k)) (pow PI (- (/ k 2)))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* 2 n) PI))))) (/ (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (cbrt (sqrt (* (* 2 n) PI))))))) 1537029896.030 * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (cbrt (sqrt (* (* 2 n) PI)))) 1537029896.032 * * [misc]simplify: iters left: 6 (16 enodes) 1537029896.038 * * [misc]simplify: iters left: 5 (23 enodes) 1537029896.046 * * [misc]simplify: iters left: 4 (32 enodes) 1537029896.056 * * [misc]simplify: iters left: 3 (33 enodes) 1537029896.067 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (cbrt (sqrt (* n (* PI 2))))) 1537029896.067 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- (/ k 2)))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) (/ (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (cbrt (sqrt (* n (* PI 2)))))))) 1537029896.067 * * * * [misc]progress: [ 47 / 243 ] simplifiying candidate # 1537029896.068 * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- (/ k 2)))) (sqrt (* 2 n))) 1537029896.069 * * [misc]simplify: iters left: 6 (14 enodes) 1537029896.075 * * [misc]simplify: iters left: 5 (21 enodes) 1537029896.085 * * [misc]simplify: iters left: 4 (30 enodes) 1537029896.095 * * [misc]simplify: iters left: 3 (43 enodes) 1537029896.109 * * [misc]simplify: iters left: 2 (51 enodes) 1537029896.122 * * [misc]simplify: iters left: 1 (54 enodes) 1537029896.143 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (sqrt (* 2 n)) (pow PI (- (/ k 2))))) 1537029896.143 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (sqrt (* 2 n)) (pow PI (- (/ k 2))))) (/ (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt PI))))) 1537029896.144 * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt PI)) 1537029896.145 * * [misc]simplify: iters left: 6 (13 enodes) 1537029896.150 * * [misc]simplify: iters left: 5 (18 enodes) 1537029896.155 * * [misc]simplify: iters left: 4 (21 enodes) 1537029896.163 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt k)) (sqrt PI)) (pow (* n 2) (- (/ k 2)))) 1537029896.163 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- (/ k 2)))) (sqrt (* 2 n))) (/ (/ (cbrt (sqrt k)) (sqrt PI)) (pow (* n 2) (- (/ k 2))))))) 1537029896.163 * * * * [misc]progress: [ 48 / 243 ] simplifiying candidate # 1537029896.164 * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI)))) 1537029896.166 * * [misc]simplify: iters left: 6 (16 enodes) 1537029896.172 * * [misc]simplify: iters left: 5 (26 enodes) 1537029896.182 * * [misc]simplify: iters left: 4 (41 enodes) 1537029896.196 * * [misc]simplify: iters left: 3 (55 enodes) 1537029896.215 * * [misc]simplify: iters left: 2 (63 enodes) 1537029896.231 * * [misc]simplify: iters left: 1 (66 enodes) 1537029896.253 * [exit]simplify: Simplified to (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI)))) 1537029896.253 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI)))) (/ (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI))))))) 1537029896.253 * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI)))) 1537029896.255 * * [misc]simplify: iters left: 6 (16 enodes) 1537029896.261 * * [misc]simplify: iters left: 5 (23 enodes) 1537029896.269 * * [misc]simplify: iters left: 4 (32 enodes) 1537029896.279 * * [misc]simplify: iters left: 3 (33 enodes) 1537029896.290 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (sqrt (* n (* PI 2))))) 1537029896.290 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI)))) (/ (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (sqrt (* n (* PI 2)))))))) 1537029896.290 * * * * [misc]progress: [ 49 / 243 ] simplifiying candidate # 1537029896.291 * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- (/ k 2)))) 1) 1537029896.292 * * [misc]simplify: iters left: 6 (12 enodes) 1537029896.297 * * [misc]simplify: iters left: 5 (20 enodes) 1537029896.304 * * [misc]simplify: iters left: 4 (28 enodes) 1537029896.317 * * [misc]simplify: iters left: 3 (54 enodes) 1537029896.351 * * [misc]simplify: iters left: 2 (143 enodes) 1537029896.394 * * [misc]simplify: iters left: 1 (147 enodes) 1537029896.410 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- (/ k 2)))) 1537029896.410 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- (/ k 2)))) (/ (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (* (* 2 n) PI)))))) 1537029896.411 * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (* (* 2 n) PI))) 1537029896.413 * * [misc]simplify: iters left: 6 (15 enodes) 1537029896.419 * * [misc]simplify: iters left: 5 (22 enodes) 1537029896.423 * * [misc]simplify: iters left: 4 (31 enodes) 1537029896.430 * * [misc]simplify: iters left: 3 (32 enodes) 1537029896.436 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (* 2 (* n PI)))) 1537029896.436 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- (/ k 2)))) (/ (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (* 2 (* n PI))))))) 1537029896.436 * * * * [misc]progress: [ 50 / 243 ] simplifiying candidate # 1537029896.437 * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) 1537029896.438 * * [misc]simplify: iters left: 6 (21 enodes) 1537029896.444 * * [misc]simplify: iters left: 5 (39 enodes) 1537029896.457 * * [misc]simplify: iters left: 4 (74 enodes) 1537029896.481 * * [misc]simplify: iters left: 3 (143 enodes) 1537029896.532 * * [misc]simplify: iters left: 2 (249 enodes) 1537029896.602 * * [misc]simplify: iters left: 1 (310 enodes) 1537029896.763 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (* (cbrt (sqrt (* (* 2 PI) n))) (cbrt (pow (* (* 2 PI) n) (- (/ k 2)))))) (/ (cbrt (sqrt k)) (* (cbrt (sqrt (* (* 2 PI) n))) (cbrt (pow (* (* 2 PI) n) (- (/ k 2))))))) 1537029896.763 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (/ (cbrt (sqrt k)) (* (cbrt (sqrt (* (* 2 PI) n))) (cbrt (pow (* (* 2 PI) n) (- (/ k 2)))))) (/ (cbrt (sqrt k)) (* (cbrt (sqrt (* (* 2 PI) n))) (cbrt (pow (* (* 2 PI) n) (- (/ k 2))))))) (/ (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (sqrt (* (* 2 n) PI))))))) 1537029896.763 * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (sqrt (* (* 2 n) PI)))) 1537029896.764 * * [misc]simplify: iters left: 6 (18 enodes) 1537029896.768 * * [misc]simplify: iters left: 5 (27 enodes) 1537029896.773 * * [misc]simplify: iters left: 4 (34 enodes) 1537029896.778 * * [misc]simplify: iters left: 3 (35 enodes) 1537029896.791 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* PI 2) n)))) (cbrt (pow (* (* PI 2) n) (/ (- k) 2)))) 1537029896.791 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) (/ (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* PI 2) n)))) (cbrt (pow (* (* PI 2) n) (/ (- k) 2))))))) 1537029896.791 * * * * [misc]progress: [ 51 / 243 ] simplifiying candidate # 1537029896.792 * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) (sqrt (* 2 n))) 1537029896.794 * * [misc]simplify: iters left: 6 (18 enodes) 1537029896.802 * * [misc]simplify: iters left: 5 (31 enodes) 1537029896.817 * * [misc]simplify: iters left: 4 (57 enodes) 1537029896.830 * * [misc]simplify: iters left: 3 (89 enodes) 1537029896.850 * * [misc]simplify: iters left: 2 (123 enodes) 1537029896.893 * * [misc]simplify: iters left: 1 (141 enodes) 1537029896.933 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- (/ k 2))))) (* (cbrt (pow (* (* n 2) PI) (- (/ k 2)))) (/ (sqrt (* n 2)) (cbrt (sqrt k))))) 1537029896.934 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- (/ k 2))))) (* (cbrt (pow (* (* n 2) PI) (- (/ k 2)))) (/ (sqrt (* n 2)) (cbrt (sqrt k))))) (/ (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt PI))))) 1537029896.934 * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt PI)) 1537029896.935 * * [misc]simplify: iters left: 6 (15 enodes) 1537029896.938 * * [misc]simplify: iters left: 5 (23 enodes) 1537029896.943 * * [misc]simplify: iters left: 4 (32 enodes) 1537029896.952 * * [misc]simplify: iters left: 3 (33 enodes) 1537029896.964 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt k)) (sqrt PI)) (cbrt (pow (* (* PI 2) n) (/ (- k) 2)))) 1537029896.964 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) (sqrt (* 2 n))) (/ (/ (cbrt (sqrt k)) (sqrt PI)) (cbrt (pow (* (* PI 2) n) (/ (- k) 2))))))) 1537029896.964 * * * * [misc]progress: [ 52 / 243 ] simplifiying candidate # 1537029896.964 * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) (sqrt (sqrt (* (* 2 n) PI)))) 1537029896.967 * * [misc]simplify: iters left: 6 (20 enodes) 1537029896.977 * * [misc]simplify: iters left: 5 (36 enodes) 1537029896.988 * * [misc]simplify: iters left: 4 (60 enodes) 1537029897.000 * * [misc]simplify: iters left: 3 (92 enodes) 1537029897.027 * * [misc]simplify: iters left: 2 (127 enodes) 1537029897.071 * * [misc]simplify: iters left: 1 (145 enodes) 1537029897.139 * [exit]simplify: Simplified to (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (* 2 (* PI n))))) (* (cbrt (pow (* 2 (* PI n)) (- (/ k 2)))) (cbrt (pow (* 2 (* PI n)) (- (/ k 2)))))) 1537029897.139 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (* 2 (* PI n))))) (* (cbrt (pow (* 2 (* PI n)) (- (/ k 2)))) (cbrt (pow (* 2 (* PI n)) (- (/ k 2)))))) (/ (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (* (* 2 n) PI))))))) 1537029897.140 * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (* (* 2 n) PI)))) 1537029897.142 * * [misc]simplify: iters left: 6 (18 enodes) 1537029897.149 * * [misc]simplify: iters left: 5 (27 enodes) 1537029897.158 * * [misc]simplify: iters left: 4 (34 enodes) 1537029897.167 * * [misc]simplify: iters left: 3 (35 enodes) 1537029897.181 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt k)) (sqrt (sqrt (* (* PI 2) n)))) (cbrt (pow (* (* PI 2) n) (/ (- k) 2)))) 1537029897.181 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) (sqrt (sqrt (* (* 2 n) PI)))) (/ (/ (cbrt (sqrt k)) (sqrt (sqrt (* (* PI 2) n)))) (cbrt (pow (* (* PI 2) n) (/ (- k) 2))))))) 1537029897.181 * * * * [misc]progress: [ 53 / 243 ] simplifiying candidate # 1537029897.181 * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1) 1537029897.183 * * [misc]simplify: iters left: 6 (17 enodes) 1537029897.191 * * [misc]simplify: iters left: 5 (33 enodes) 1537029897.203 * * [misc]simplify: iters left: 4 (58 enodes) 1537029897.217 * * [misc]simplify: iters left: 3 (97 enodes) 1537029897.266 * * [misc]simplify: iters left: 2 (275 enodes) 1537029897.429 * * [misc]simplify: iters left: 1 (352 enodes) 1537029897.501 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- (/ k 2)))))) 1537029897.501 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- (/ k 2)))))) (/ (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (* 2 n) PI)))))) 1537029897.502 * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (* 2 n) PI))) 1537029897.504 * * [misc]simplify: iters left: 6 (17 enodes) 1537029897.511 * * [misc]simplify: iters left: 5 (26 enodes) 1537029897.521 * * [misc]simplify: iters left: 4 (33 enodes) 1537029897.531 * * [misc]simplify: iters left: 3 (35 enodes) 1537029897.544 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt k)) (sqrt (* n (* PI 2)))) (cbrt (pow (* n (* PI 2)) (/ (- k) 2)))) 1537029897.544 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- (/ k 2)))))) (/ (/ (cbrt (sqrt k)) (sqrt (* n (* PI 2)))) (cbrt (pow (* n (* PI 2)) (/ (- k) 2))))))) 1537029897.544 * * * * [misc]progress: [ 54 / 243 ] simplifiying candidate # 1537029897.544 * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) 1537029897.546 * * [misc]simplify: iters left: 6 (20 enodes) 1537029897.556 * * [misc]simplify: iters left: 5 (33 enodes) 1537029897.570 * * [misc]simplify: iters left: 4 (51 enodes) 1537029897.590 * * [misc]simplify: iters left: 3 (87 enodes) 1537029897.611 * * [misc]simplify: iters left: 2 (128 enodes) 1537029897.638 * * [misc]simplify: iters left: 1 (149 enodes) 1537029897.685 * [exit]simplify: Simplified to (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 (* PI n)) (- (/ k 2))))) (* (cbrt (sqrt (* 2 (* PI n)))) (cbrt (sqrt (* 2 (* PI n)))))) 1537029897.685 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 (* PI n)) (- (/ k 2))))) (* (cbrt (sqrt (* 2 (* PI n)))) (cbrt (sqrt (* 2 (* PI n)))))) (/ (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (sqrt (* (* 2 n) PI))))))) 1537029897.685 * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (sqrt (* (* 2 n) PI)))) 1537029897.686 * * [misc]simplify: iters left: 6 (18 enodes) 1537029897.690 * * [misc]simplify: iters left: 5 (27 enodes) 1537029897.695 * * [misc]simplify: iters left: 4 (34 enodes) 1537029897.700 * * [misc]simplify: iters left: 3 (35 enodes) 1537029897.706 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* PI 2) n)))) (sqrt (pow (* (* PI 2) n) (/ (- k) 2)))) 1537029897.706 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) (/ (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* PI 2) n)))) (sqrt (pow (* (* PI 2) n) (/ (- k) 2))))))) 1537029897.706 * * * * [misc]progress: [ 55 / 243 ] simplifiying candidate # 1537029897.707 * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* 2 n))) 1537029897.708 * * [misc]simplify: iters left: 6 (17 enodes) 1537029897.711 * * [misc]simplify: iters left: 5 (26 enodes) 1537029897.722 * * [misc]simplify: iters left: 4 (41 enodes) 1537029897.737 * * [misc]simplify: iters left: 3 (55 enodes) 1537029897.753 * * [misc]simplify: iters left: 2 (63 enodes) 1537029897.763 * * [misc]simplify: iters left: 1 (66 enodes) 1537029897.775 * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt k)) (sqrt (* n 2))) (cbrt (sqrt k))) (sqrt (pow (* 2 (* PI n)) (- (/ k 2))))) 1537029897.775 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (/ (cbrt (sqrt k)) (sqrt (* n 2))) (cbrt (sqrt k))) (sqrt (pow (* 2 (* PI n)) (- (/ k 2))))) (/ (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt PI))))) 1537029897.775 * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt PI)) 1537029897.776 * * [misc]simplify: iters left: 6 (15 enodes) 1537029897.779 * * [misc]simplify: iters left: 5 (23 enodes) 1537029897.784 * * [misc]simplify: iters left: 4 (32 enodes) 1537029897.789 * * [misc]simplify: iters left: 3 (33 enodes) 1537029897.801 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt k)) (sqrt PI)) (sqrt (pow (* (* PI 2) n) (/ (- k) 2)))) 1537029897.801 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* 2 n))) (/ (/ (cbrt (sqrt k)) (sqrt PI)) (sqrt (pow (* (* PI 2) n) (/ (- k) 2))))))) 1537029897.801 * * * * [misc]progress: [ 56 / 243 ] simplifiying candidate # 1537029897.801 * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (* (* 2 n) PI)))) 1537029897.803 * * [misc]simplify: iters left: 6 (19 enodes) 1537029897.807 * * [misc]simplify: iters left: 5 (30 enodes) 1537029897.813 * * [misc]simplify: iters left: 4 (43 enodes) 1537029897.821 * * [misc]simplify: iters left: 3 (57 enodes) 1537029897.832 * * [misc]simplify: iters left: 2 (65 enodes) 1537029897.840 * * [misc]simplify: iters left: 1 (68 enodes) 1537029897.856 * [exit]simplify: Simplified to (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (* (* n 2) PI)))) (sqrt (pow (* (* n 2) PI) (- (/ k 2))))) 1537029897.856 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (* (* n 2) PI)))) (sqrt (pow (* (* n 2) PI) (- (/ k 2))))) (/ (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (* (* 2 n) PI))))))) 1537029897.856 * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (* (* 2 n) PI)))) 1537029897.858 * * [misc]simplify: iters left: 6 (18 enodes) 1537029897.861 * * [misc]simplify: iters left: 5 (27 enodes) 1537029897.866 * * [misc]simplify: iters left: 4 (34 enodes) 1537029897.871 * * [misc]simplify: iters left: 3 (35 enodes) 1537029897.878 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt k)) (sqrt (sqrt (* (* PI 2) n)))) (sqrt (pow (* (* PI 2) n) (/ (- k) 2)))) 1537029897.878 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (* (* 2 n) PI)))) (/ (/ (cbrt (sqrt k)) (sqrt (sqrt (* (* PI 2) n)))) (sqrt (pow (* (* PI 2) n) (/ (- k) 2))))))) 1537029897.878 * * * * [misc]progress: [ 57 / 243 ] simplifiying candidate # 1537029897.878 * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) 1) 1537029897.879 * * [misc]simplify: iters left: 6 (16 enodes) 1537029897.883 * * [misc]simplify: iters left: 5 (28 enodes) 1537029897.888 * * [misc]simplify: iters left: 4 (42 enodes) 1537029897.899 * * [misc]simplify: iters left: 3 (67 enodes) 1537029897.926 * * [misc]simplify: iters left: 2 (147 enodes) 1537029897.961 * * [misc]simplify: iters left: 1 (160 enodes) 1537029897.989 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* n 2) PI) (- (/ k 2))))) 1537029897.989 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* n 2) PI) (- (/ k 2))))) (/ (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (* 2 n) PI)))))) 1537029897.990 * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (* 2 n) PI))) 1537029897.992 * * [misc]simplify: iters left: 6 (17 enodes) 1537029897.999 * * [misc]simplify: iters left: 5 (26 enodes) 1537029898.008 * * [misc]simplify: iters left: 4 (33 enodes) 1537029898.018 * * [misc]simplify: iters left: 3 (35 enodes) 1537029898.030 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt k)) (sqrt (* n (* PI 2)))) (sqrt (pow (* n (* PI 2)) (/ (- k) 2)))) 1537029898.030 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* n 2) PI) (- (/ k 2))))) (/ (/ (cbrt (sqrt k)) (sqrt (* n (* PI 2)))) (sqrt (pow (* n (* PI 2)) (/ (- k) 2))))))) 1537029898.031 * * * * [misc]progress: [ 58 / 243 ] simplifiying candidate # 1537029898.031 * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) 1537029898.032 * * [misc]simplify: iters left: 6 (15 enodes) 1537029898.039 * * [misc]simplify: iters left: 5 (27 enodes) 1537029898.053 * * [misc]simplify: iters left: 4 (55 enodes) 1537029898.083 * * [misc]simplify: iters left: 3 (123 enodes) 1537029898.186 * * [misc]simplify: iters left: 2 (347 enodes) 1537029898.376 * * [misc]simplify: iters left: 1 (481 enodes) 1537029898.471 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (sqrt (* n (* PI 2))))) (/ (cbrt (sqrt k)) (cbrt (sqrt (* n (* PI 2)))))) 1537029898.471 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (/ (cbrt (sqrt k)) (cbrt (sqrt (* n (* PI 2))))) (/ (cbrt (sqrt k)) (cbrt (sqrt (* n (* PI 2)))))) (/ (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (* (* 2 n) PI))))))) 1537029898.471 * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (* (* 2 n) PI)))) 1537029898.473 * * [misc]simplify: iters left: 6 (17 enodes) 1537029898.480 * * [misc]simplify: iters left: 5 (26 enodes) 1537029898.489 * * [misc]simplify: iters left: 4 (33 enodes) 1537029898.495 * * [misc]simplify: iters left: 3 (35 enodes) 1537029898.502 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt k)) (pow (* n (* PI 2)) (/ (- k) 2))) (cbrt (sqrt (* n (* PI 2))))) 1537029898.502 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ (cbrt (sqrt k)) (cbrt (sqrt (* n (* PI 2))))) (/ (cbrt (sqrt k)) (cbrt (sqrt (* n (* PI 2)))))) (/ (/ (cbrt (sqrt k)) (pow (* n (* PI 2)) (/ (- k) 2))) (cbrt (sqrt (* n (* PI 2)))))))) 1537029898.502 * * * * [misc]progress: [ 59 / 243 ] simplifiying candidate # 1537029898.502 * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) (sqrt (* 2 n))) 1537029898.503 * * [misc]simplify: iters left: 6 (11 enodes) 1537029898.505 * * [misc]simplify: iters left: 5 (18 enodes) 1537029898.510 * * [misc]simplify: iters left: 4 (31 enodes) 1537029898.517 * * [misc]simplify: iters left: 3 (54 enodes) 1537029898.542 * * [misc]simplify: iters left: 2 (100 enodes) 1537029898.567 * * [misc]simplify: iters left: 1 (104 enodes) 1537029898.575 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1537029898.575 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt PI))))) 1537029898.575 * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt PI)) 1537029898.576 * * [misc]simplify: iters left: 6 (14 enodes) 1537029898.579 * * [misc]simplify: iters left: 5 (22 enodes) 1537029898.584 * * [misc]simplify: iters left: 4 (31 enodes) 1537029898.593 * * [misc]simplify: iters left: 3 (32 enodes) 1537029898.604 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt k)) (sqrt PI)) (pow (* n (* PI 2)) (- (/ k 2)))) 1537029898.604 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (/ (cbrt (sqrt k)) (sqrt PI)) (pow (* n (* PI 2)) (- (/ k 2))))))) 1537029898.604 * * * * [misc]progress: [ 60 / 243 ] simplifiying candidate # 1537029898.604 * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) (sqrt (sqrt (* (* 2 n) PI)))) 1537029898.606 * * [misc]simplify: iters left: 6 (14 enodes) 1537029898.612 * * [misc]simplify: iters left: 5 (24 enodes) 1537029898.623 * * [misc]simplify: iters left: 4 (43 enodes) 1537029898.644 * * [misc]simplify: iters left: 3 (68 enodes) 1537029898.666 * * [misc]simplify: iters left: 2 (119 enodes) 1537029898.685 * * [misc]simplify: iters left: 1 (123 enodes) 1537029898.701 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (* n (* PI 2))))) 1537029898.701 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (* n (* PI 2))))) (/ (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI))))))) 1537029898.701 * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI)))) 1537029898.703 * * [misc]simplify: iters left: 6 (17 enodes) 1537029898.710 * * [misc]simplify: iters left: 5 (26 enodes) 1537029898.718 * * [misc]simplify: iters left: 4 (33 enodes) 1537029898.723 * * [misc]simplify: iters left: 3 (35 enodes) 1537029898.729 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt k)) (pow (* n (* PI 2)) (/ (- k) 2))) (sqrt (sqrt (* n (* PI 2))))) 1537029898.729 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (* n (* PI 2))))) (/ (/ (cbrt (sqrt k)) (pow (* n (* PI 2)) (/ (- k) 2))) (sqrt (sqrt (* n (* PI 2)))))))) 1537029898.729 * * * * [misc]progress: [ 61 / 243 ] simplifiying candidate # 1537029898.729 * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1) 1537029898.731 * * [misc]simplify: iters left: 6 (7 enodes) 1537029898.732 * * [misc]simplify: iters left: 5 (11 enodes) 1537029898.734 * * [misc]simplify: iters left: 4 (13 enodes) 1537029898.737 * * [misc]simplify: iters left: 3 (25 enodes) 1537029898.743 * * [misc]simplify: iters left: 2 (54 enodes) 1537029898.752 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1537029898.752 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (* 2 n) PI)))))) 1537029898.752 * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (* 2 n) PI))) 1537029898.753 * * [misc]simplify: iters left: 6 (16 enodes) 1537029898.758 * * [misc]simplify: iters left: 5 (25 enodes) 1537029898.766 * * [misc]simplify: iters left: 4 (32 enodes) 1537029898.774 * * [misc]simplify: iters left: 3 (33 enodes) 1537029898.780 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2))) (sqrt (* (* PI 2) n))) 1537029898.780 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (/ (cbrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2))) (sqrt (* (* PI 2) n)))))) 1537029898.780 * * * * [misc]progress: [ 62 / 243 ] simplifiying candidate # 1537029898.780 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) 1537029898.781 * * [misc]simplify: iters left: 6 (16 enodes) 1537029898.788 * * [misc]simplify: iters left: 5 (26 enodes) 1537029898.797 * * [misc]simplify: iters left: 4 (38 enodes) 1537029898.810 * * [misc]simplify: iters left: 3 (45 enodes) 1537029898.818 * * [misc]simplify: iters left: 2 (46 enodes) 1537029898.829 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))) (* (cbrt (sqrt (* (* PI 2) n))) (cbrt (sqrt (* (* PI 2) n))))) 1537029898.829 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))) (* (cbrt (sqrt (* (* PI 2) n))) (cbrt (sqrt (* (* PI 2) n))))) (/ (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (cbrt (sqrt (* (* 2 n) PI))))))) 1537029898.829 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (cbrt (sqrt (* (* 2 n) PI)))) 1537029898.830 * * [misc]simplify: iters left: 6 (16 enodes) 1537029898.834 * * [misc]simplify: iters left: 5 (23 enodes) 1537029898.838 * * [misc]simplify: iters left: 4 (32 enodes) 1537029898.843 * * [misc]simplify: iters left: 3 (33 enodes) 1537029898.849 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (cbrt (sqrt (* n (* PI 2))))) 1537029898.849 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) (/ (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (cbrt (sqrt (* n (* PI 2)))))))) 1537029898.849 * * * * [misc]progress: [ 63 / 243 ] simplifiying candidate # 1537029898.849 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))) (sqrt (* 2 n))) 1537029898.850 * * [misc]simplify: iters left: 6 (13 enodes) 1537029898.852 * * [misc]simplify: iters left: 5 (18 enodes) 1537029898.855 * * [misc]simplify: iters left: 4 (21 enodes) 1537029898.859 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (sqrt (* 2 n))) (pow PI (/ (- k) 2))) 1537029898.859 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ (sqrt (sqrt k)) (sqrt (* 2 n))) (pow PI (/ (- k) 2))) (/ (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt PI))))) 1537029898.859 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt PI)) 1537029898.860 * * [misc]simplify: iters left: 6 (13 enodes) 1537029898.862 * * [misc]simplify: iters left: 5 (18 enodes) 1537029898.868 * * [misc]simplify: iters left: 4 (21 enodes) 1537029898.876 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (sqrt PI)) (pow (* n 2) (- (/ k 2)))) 1537029898.876 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))) (sqrt (* 2 n))) (/ (/ (sqrt (sqrt k)) (sqrt PI)) (pow (* n 2) (- (/ k 2))))))) 1537029898.876 * * * * [misc]progress: [ 64 / 243 ] simplifiying candidate # 1537029898.876 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI)))) 1537029898.878 * * [misc]simplify: iters left: 6 (15 enodes) 1537029898.884 * * [misc]simplify: iters left: 5 (23 enodes) 1537029898.893 * * [misc]simplify: iters left: 4 (32 enodes) 1537029898.903 * * [misc]simplify: iters left: 3 (33 enodes) 1537029898.917 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))) (sqrt (sqrt (* 2 (* PI n))))) 1537029898.917 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))) (sqrt (sqrt (* 2 (* PI n))))) (/ (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI))))))) 1537029898.918 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI)))) 1537029898.919 * * [misc]simplify: iters left: 6 (16 enodes) 1537029898.926 * * [misc]simplify: iters left: 5 (23 enodes) 1537029898.936 * * [misc]simplify: iters left: 4 (32 enodes) 1537029898.945 * * [misc]simplify: iters left: 3 (33 enodes) 1537029898.951 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (sqrt (* n (* PI 2))))) 1537029898.951 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI)))) (/ (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (sqrt (* n (* PI 2)))))))) 1537029898.951 * * * * [misc]progress: [ 65 / 243 ] simplifiying candidate # 1537029898.951 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))) 1) 1537029898.952 * * [misc]simplify: iters left: 6 (11 enodes) 1537029898.954 * * [misc]simplify: iters left: 5 (17 enodes) 1537029898.957 * * [misc]simplify: iters left: 4 (20 enodes) 1537029898.961 * * [misc]simplify: iters left: 3 (24 enodes) 1537029898.964 * * [misc]simplify: iters left: 2 (25 enodes) 1537029898.968 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2))) 1537029898.968 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2))) (/ (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (* (* 2 n) PI)))))) 1537029898.968 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (* (* 2 n) PI))) 1537029898.969 * * [misc]simplify: iters left: 6 (15 enodes) 1537029898.973 * * [misc]simplify: iters left: 5 (22 enodes) 1537029898.977 * * [misc]simplify: iters left: 4 (31 enodes) 1537029898.984 * * [misc]simplify: iters left: 3 (32 enodes) 1537029898.997 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (* 2 (* n PI)))) 1537029898.997 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2))) (/ (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (* 2 (* n PI))))))) 1537029898.997 * * * * [misc]progress: [ 66 / 243 ] simplifiying candidate # 1537029898.997 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) 1537029899.000 * * [misc]simplify: iters left: 6 (20 enodes) 1537029899.009 * * [misc]simplify: iters left: 5 (33 enodes) 1537029899.024 * * [misc]simplify: iters left: 4 (47 enodes) 1537029899.032 * * [misc]simplify: iters left: 3 (61 enodes) 1537029899.042 * * [misc]simplify: iters left: 2 (73 enodes) 1537029899.052 * * [misc]simplify: iters left: 1 (76 enodes) 1537029899.080 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (* (* (cbrt (pow (* (* PI 2) n) (/ (- k) 2))) (cbrt (sqrt (* (* PI 2) n)))) (* (cbrt (pow (* (* PI 2) n) (/ (- k) 2))) (cbrt (sqrt (* (* PI 2) n)))))) 1537029899.080 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (* (cbrt (pow (* (* PI 2) n) (/ (- k) 2))) (cbrt (sqrt (* (* PI 2) n)))) (* (cbrt (pow (* (* PI 2) n) (/ (- k) 2))) (cbrt (sqrt (* (* PI 2) n)))))) (/ (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (sqrt (* (* 2 n) PI))))))) 1537029899.081 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (sqrt (* (* 2 n) PI)))) 1537029899.083 * * [misc]simplify: iters left: 6 (18 enodes) 1537029899.087 * * [misc]simplify: iters left: 5 (27 enodes) 1537029899.092 * * [misc]simplify: iters left: 4 (34 enodes) 1537029899.098 * * [misc]simplify: iters left: 3 (35 enodes) 1537029899.105 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (cbrt (sqrt (* (* PI 2) n)))) (cbrt (pow (* (* PI 2) n) (/ (- k) 2)))) 1537029899.105 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) (/ (/ (sqrt (sqrt k)) (cbrt (sqrt (* (* PI 2) n)))) (cbrt (pow (* (* PI 2) n) (/ (- k) 2))))))) 1537029899.105 * * * * [misc]progress: [ 67 / 243 ] simplifiying candidate # 1537029899.105 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) (sqrt (* 2 n))) 1537029899.106 * * [misc]simplify: iters left: 6 (17 enodes) 1537029899.110 * * [misc]simplify: iters left: 5 (26 enodes) 1537029899.115 * * [misc]simplify: iters left: 4 (37 enodes) 1537029899.122 * * [misc]simplify: iters left: 3 (42 enodes) 1537029899.136 * * [misc]simplify: iters left: 2 (48 enodes) 1537029899.156 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (sqrt k)) (sqrt (* n 2))) (cbrt (pow (* (* PI 2) n) (/ (- k) 2)))) (cbrt (pow (* (* PI 2) n) (/ (- k) 2)))) 1537029899.156 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ (/ (sqrt (sqrt k)) (sqrt (* n 2))) (cbrt (pow (* (* PI 2) n) (/ (- k) 2)))) (cbrt (pow (* (* PI 2) n) (/ (- k) 2)))) (/ (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt PI))))) 1537029899.156 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt PI)) 1537029899.158 * * [misc]simplify: iters left: 6 (15 enodes) 1537029899.164 * * [misc]simplify: iters left: 5 (23 enodes) 1537029899.173 * * [misc]simplify: iters left: 4 (32 enodes) 1537029899.183 * * [misc]simplify: iters left: 3 (33 enodes) 1537029899.195 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (sqrt PI)) (cbrt (pow (* (* PI 2) n) (/ (- k) 2)))) 1537029899.195 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) (sqrt (* 2 n))) (/ (/ (sqrt (sqrt k)) (sqrt PI)) (cbrt (pow (* (* PI 2) n) (/ (- k) 2))))))) 1537029899.195 * * * * [misc]progress: [ 68 / 243 ] simplifiying candidate # 1537029899.195 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) (sqrt (sqrt (* (* 2 n) PI)))) 1537029899.199 * * [misc]simplify: iters left: 6 (19 enodes) 1537029899.207 * * [misc]simplify: iters left: 5 (30 enodes) 1537029899.218 * * [misc]simplify: iters left: 4 (39 enodes) 1537029899.230 * * [misc]simplify: iters left: 3 (44 enodes) 1537029899.244 * * [misc]simplify: iters left: 2 (50 enodes) 1537029899.256 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (sqrt (sqrt (* (* PI n) 2)))) (* (cbrt (pow (* (* PI n) 2) (- (/ k 2)))) (cbrt (pow (* (* PI n) 2) (- (/ k 2)))))) 1537029899.256 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ (sqrt (sqrt k)) (sqrt (sqrt (* (* PI n) 2)))) (* (cbrt (pow (* (* PI n) 2) (- (/ k 2)))) (cbrt (pow (* (* PI n) 2) (- (/ k 2)))))) (/ (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (* (* 2 n) PI))))))) 1537029899.256 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (* (* 2 n) PI)))) 1537029899.257 * * [misc]simplify: iters left: 6 (18 enodes) 1537029899.261 * * [misc]simplify: iters left: 5 (27 enodes) 1537029899.266 * * [misc]simplify: iters left: 4 (34 enodes) 1537029899.271 * * [misc]simplify: iters left: 3 (35 enodes) 1537029899.277 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (sqrt (sqrt (* (* PI 2) n)))) (cbrt (pow (* (* PI 2) n) (/ (- k) 2)))) 1537029899.277 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) (sqrt (sqrt (* (* 2 n) PI)))) (/ (/ (sqrt (sqrt k)) (sqrt (sqrt (* (* PI 2) n)))) (cbrt (pow (* (* PI 2) n) (/ (- k) 2))))))) 1537029899.277 * * * * [misc]progress: [ 69 / 243 ] simplifiying candidate # 1537029899.278 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1) 1537029899.278 * * [misc]simplify: iters left: 6 (16 enodes) 1537029899.282 * * [misc]simplify: iters left: 5 (28 enodes) 1537029899.289 * * [misc]simplify: iters left: 4 (39 enodes) 1537029899.296 * * [misc]simplify: iters left: 3 (46 enodes) 1537029899.302 * * [misc]simplify: iters left: 2 (51 enodes) 1537029899.309 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (cbrt (pow (* 2 (* PI n)) (/ (- k) 2)))) (cbrt (pow (* 2 (* PI n)) (/ (- k) 2)))) 1537029899.309 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ (sqrt (sqrt k)) (cbrt (pow (* 2 (* PI n)) (/ (- k) 2)))) (cbrt (pow (* 2 (* PI n)) (/ (- k) 2)))) (/ (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (* 2 n) PI)))))) 1537029899.309 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (* 2 n) PI))) 1537029899.310 * * [misc]simplify: iters left: 6 (17 enodes) 1537029899.314 * * [misc]simplify: iters left: 5 (26 enodes) 1537029899.322 * * [misc]simplify: iters left: 4 (33 enodes) 1537029899.332 * * [misc]simplify: iters left: 3 (35 enodes) 1537029899.345 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (sqrt (* n (* PI 2)))) (cbrt (pow (* n (* PI 2)) (/ (- k) 2)))) 1537029899.345 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (/ (sqrt (sqrt k)) (cbrt (pow (* 2 (* PI n)) (/ (- k) 2)))) (cbrt (pow (* 2 (* PI n)) (/ (- k) 2)))) (/ (/ (sqrt (sqrt k)) (sqrt (* n (* PI 2)))) (cbrt (pow (* n (* PI 2)) (/ (- k) 2))))))) 1537029899.345 * * * * [misc]progress: [ 70 / 243 ] simplifiying candidate # 1537029899.345 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) 1537029899.347 * * [misc]simplify: iters left: 6 (19 enodes) 1537029899.356 * * [misc]simplify: iters left: 5 (30 enodes) 1537029899.366 * * [misc]simplify: iters left: 4 (40 enodes) 1537029899.379 * * [misc]simplify: iters left: 3 (47 enodes) 1537029899.395 * * [misc]simplify: iters left: 2 (48 enodes) 1537029899.412 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- (/ k 2))))) (* (cbrt (sqrt (* (* PI n) 2))) (cbrt (sqrt (* (* PI n) 2))))) 1537029899.412 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- (/ k 2))))) (* (cbrt (sqrt (* (* PI n) 2))) (cbrt (sqrt (* (* PI n) 2))))) (/ (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (sqrt (* (* 2 n) PI))))))) 1537029899.412 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (sqrt (* (* 2 n) PI)))) 1537029899.414 * * [misc]simplify: iters left: 6 (18 enodes) 1537029899.421 * * [misc]simplify: iters left: 5 (27 enodes) 1537029899.430 * * [misc]simplify: iters left: 4 (34 enodes) 1537029899.439 * * [misc]simplify: iters left: 3 (35 enodes) 1537029899.452 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (cbrt (sqrt (* (* PI 2) n)))) (sqrt (pow (* (* PI 2) n) (/ (- k) 2)))) 1537029899.452 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) (/ (/ (sqrt (sqrt k)) (cbrt (sqrt (* (* PI 2) n)))) (sqrt (pow (* (* PI 2) n) (/ (- k) 2))))))) 1537029899.452 * * * * [misc]progress: [ 71 / 243 ] simplifiying candidate # 1537029899.452 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* 2 n))) 1537029899.454 * * [misc]simplify: iters left: 6 (16 enodes) 1537029899.460 * * [misc]simplify: iters left: 5 (23 enodes) 1537029899.469 * * [misc]simplify: iters left: 4 (32 enodes) 1537029899.475 * * [misc]simplify: iters left: 3 (33 enodes) 1537029899.481 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (sqrt (* n 2))) (sqrt (pow (* 2 (* PI n)) (/ (- k) 2)))) 1537029899.481 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ (sqrt (sqrt k)) (sqrt (* n 2))) (sqrt (pow (* 2 (* PI n)) (/ (- k) 2)))) (/ (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt PI))))) 1537029899.481 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt PI)) 1537029899.482 * * [misc]simplify: iters left: 6 (15 enodes) 1537029899.485 * * [misc]simplify: iters left: 5 (23 enodes) 1537029899.491 * * [misc]simplify: iters left: 4 (32 enodes) 1537029899.495 * * [misc]simplify: iters left: 3 (33 enodes) 1537029899.501 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (sqrt PI)) (sqrt (pow (* (* PI 2) n) (/ (- k) 2)))) 1537029899.501 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* 2 n))) (/ (/ (sqrt (sqrt k)) (sqrt PI)) (sqrt (pow (* (* PI 2) n) (/ (- k) 2))))))) 1537029899.501 * * * * [misc]progress: [ 72 / 243 ] simplifiying candidate # 1537029899.501 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (* (* 2 n) PI)))) 1537029899.503 * * [misc]simplify: iters left: 6 (18 enodes) 1537029899.507 * * [misc]simplify: iters left: 5 (27 enodes) 1537029899.511 * * [misc]simplify: iters left: 4 (34 enodes) 1537029899.518 * * [misc]simplify: iters left: 3 (35 enodes) 1537029899.531 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (sqrt (sqrt (* (* PI 2) n)))) (sqrt (pow (* (* PI 2) n) (/ (- k) 2)))) 1537029899.531 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ (sqrt (sqrt k)) (sqrt (sqrt (* (* PI 2) n)))) (sqrt (pow (* (* PI 2) n) (/ (- k) 2)))) (/ (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (* (* 2 n) PI))))))) 1537029899.532 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (* (* 2 n) PI)))) 1537029899.534 * * [misc]simplify: iters left: 6 (18 enodes) 1537029899.541 * * [misc]simplify: iters left: 5 (27 enodes) 1537029899.551 * * [misc]simplify: iters left: 4 (34 enodes) 1537029899.562 * * [misc]simplify: iters left: 3 (35 enodes) 1537029899.575 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (sqrt (sqrt (* (* PI 2) n)))) (sqrt (pow (* (* PI 2) n) (/ (- k) 2)))) 1537029899.575 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (* (* 2 n) PI)))) (/ (/ (sqrt (sqrt k)) (sqrt (sqrt (* (* PI 2) n)))) (sqrt (pow (* (* PI 2) n) (/ (- k) 2))))))) 1537029899.575 * * * * [misc]progress: [ 73 / 243 ] simplifiying candidate # 1537029899.575 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) 1) 1537029899.577 * * [misc]simplify: iters left: 6 (15 enodes) 1537029899.583 * * [misc]simplify: iters left: 5 (25 enodes) 1537029899.594 * * [misc]simplify: iters left: 4 (34 enodes) 1537029899.607 * * [misc]simplify: iters left: 3 (40 enodes) 1537029899.616 * * [misc]simplify: iters left: 2 (41 enodes) 1537029899.626 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* 2 (* PI n)) (/ (- k) 2)))) 1537029899.626 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* 2 (* PI n)) (/ (- k) 2)))) (/ (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (* 2 n) PI)))))) 1537029899.627 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (* 2 n) PI))) 1537029899.628 * * [misc]simplify: iters left: 6 (17 enodes) 1537029899.636 * * [misc]simplify: iters left: 5 (26 enodes) 1537029899.645 * * [misc]simplify: iters left: 4 (33 enodes) 1537029899.655 * * [misc]simplify: iters left: 3 (35 enodes) 1537029899.667 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (sqrt (* n (* PI 2)))) (sqrt (pow (* n (* PI 2)) (/ (- k) 2)))) 1537029899.668 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* 2 (* PI n)) (/ (- k) 2)))) (/ (/ (sqrt (sqrt k)) (sqrt (* n (* PI 2)))) (sqrt (pow (* n (* PI 2)) (/ (- k) 2))))))) 1537029899.668 * * * * [misc]progress: [ 74 / 243 ] simplifiying candidate # 1537029899.668 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) 1) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) 1537029899.669 * * [misc]simplify: iters left: 6 (14 enodes) 1537029899.672 * * [misc]simplify: iters left: 5 (24 enodes) 1537029899.677 * * [misc]simplify: iters left: 4 (38 enodes) 1537029899.684 * * [misc]simplify: iters left: 3 (48 enodes) 1537029899.691 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (cbrt (sqrt (* n (* PI 2))))) (cbrt (sqrt (* n (* PI 2))))) 1537029899.691 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ (sqrt (sqrt k)) (cbrt (sqrt (* n (* PI 2))))) (cbrt (sqrt (* n (* PI 2))))) (/ (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (* (* 2 n) PI))))))) 1537029899.691 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (* (* 2 n) PI)))) 1537029899.692 * * [misc]simplify: iters left: 6 (17 enodes) 1537029899.697 * * [misc]simplify: iters left: 5 (26 enodes) 1537029899.702 * * [misc]simplify: iters left: 4 (33 enodes) 1537029899.707 * * [misc]simplify: iters left: 3 (35 enodes) 1537029899.713 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (pow (* n (* PI 2)) (/ (- k) 2))) (cbrt (sqrt (* n (* PI 2))))) 1537029899.713 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (/ (sqrt (sqrt k)) (cbrt (sqrt (* n (* PI 2))))) (cbrt (sqrt (* n (* PI 2))))) (/ (/ (sqrt (sqrt k)) (pow (* n (* PI 2)) (/ (- k) 2))) (cbrt (sqrt (* n (* PI 2)))))))) 1537029899.713 * * * * [misc]progress: [ 75 / 243 ] simplifiying candidate # 1537029899.713 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) 1) (sqrt (* 2 n))) 1537029899.714 * * [misc]simplify: iters left: 6 (10 enodes) 1537029899.717 * * [misc]simplify: iters left: 5 (15 enodes) 1537029899.721 * * [misc]simplify: iters left: 4 (20 enodes) 1537029899.724 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* 2 n))) 1537029899.724 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (* 2 n))) (/ (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt PI))))) 1537029899.724 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt PI)) 1537029899.725 * * [misc]simplify: iters left: 6 (14 enodes) 1537029899.728 * * [misc]simplify: iters left: 5 (22 enodes) 1537029899.733 * * [misc]simplify: iters left: 4 (31 enodes) 1537029899.737 * * [misc]simplify: iters left: 3 (32 enodes) 1537029899.743 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (sqrt PI)) (pow (* n (* PI 2)) (- (/ k 2)))) 1537029899.743 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (* 2 n))) (/ (/ (sqrt (sqrt k)) (sqrt PI)) (pow (* n (* PI 2)) (- (/ k 2))))))) 1537029899.743 * * * * [misc]progress: [ 76 / 243 ] simplifiying candidate # 1537029899.743 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) 1) (sqrt (sqrt (* (* 2 n) PI)))) 1537029899.744 * * [misc]simplify: iters left: 6 (13 enodes) 1537029899.747 * * [misc]simplify: iters left: 5 (21 enodes) 1537029899.754 * * [misc]simplify: iters left: 4 (32 enodes) 1537029899.764 * * [misc]simplify: iters left: 3 (33 enodes) 1537029899.773 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (sqrt (* (* n PI) 2)))) 1537029899.773 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (sqrt (* (* n PI) 2)))) (/ (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI))))))) 1537029899.773 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI)))) 1537029899.775 * * [misc]simplify: iters left: 6 (17 enodes) 1537029899.785 * * [misc]simplify: iters left: 5 (26 enodes) 1537029899.794 * * [misc]simplify: iters left: 4 (33 enodes) 1537029899.804 * * [misc]simplify: iters left: 3 (35 enodes) 1537029899.817 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (pow (* n (* PI 2)) (/ (- k) 2))) (sqrt (sqrt (* n (* PI 2))))) 1537029899.817 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (sqrt (* (* n PI) 2)))) (/ (/ (sqrt (sqrt k)) (pow (* n (* PI 2)) (/ (- k) 2))) (sqrt (sqrt (* n (* PI 2)))))))) 1537029899.817 * * * * [misc]progress: [ 77 / 243 ] simplifiying candidate # 1537029899.817 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) 1) 1) 1537029899.818 * * [misc]simplify: iters left: 6 (6 enodes) 1537029899.820 * * [misc]simplify: iters left: 5 (8 enodes) 1537029899.822 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1537029899.822 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (* 2 n) PI)))))) 1537029899.822 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (* 2 n) PI))) 1537029899.824 * * [misc]simplify: iters left: 6 (16 enodes) 1537029899.831 * * [misc]simplify: iters left: 5 (25 enodes) 1537029899.840 * * [misc]simplify: iters left: 4 (32 enodes) 1537029899.849 * * [misc]simplify: iters left: 3 (33 enodes) 1537029899.861 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2))) (sqrt (* (* PI 2) n))) 1537029899.861 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2))) (sqrt (* (* PI 2) n)))))) 1537029899.861 * * * * [misc]progress: [ 78 / 243 ] simplifiying candidate # 1537029899.862 * [enter]simplify: Simplifying (/ (/ 1 (pow PI (- (/ k 2)))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) 1537029899.863 * * [misc]simplify: iters left: 6 (15 enodes) 1537029899.870 * * [misc]simplify: iters left: 5 (27 enodes) 1537029899.881 * * [misc]simplify: iters left: 4 (39 enodes) 1537029899.893 * * [misc]simplify: iters left: 3 (46 enodes) 1537029899.906 * * [misc]simplify: iters left: 2 (47 enodes) 1537029899.925 * [exit]simplify: Simplified to (/ (/ (/ 1 (pow PI (- (/ k 2)))) (cbrt (sqrt (* 2 (* n PI))))) (cbrt (sqrt (* 2 (* n PI))))) 1537029899.925 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ (/ 1 (pow PI (- (/ k 2)))) (cbrt (sqrt (* 2 (* n PI))))) (cbrt (sqrt (* 2 (* n PI))))) (/ (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) (cbrt (sqrt (* (* 2 n) PI))))))) 1537029899.926 * [enter]simplify: Simplifying (/ (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) (cbrt (sqrt (* (* 2 n) PI)))) 1537029899.927 * * [misc]simplify: iters left: 6 (15 enodes) 1537029899.933 * * [misc]simplify: iters left: 5 (22 enodes) 1537029899.942 * * [misc]simplify: iters left: 4 (31 enodes) 1537029899.951 * * [misc]simplify: iters left: 3 (32 enodes) 1537029899.962 * [exit]simplify: Simplified to (/ (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) (cbrt (sqrt (* (* PI 2) n)))) 1537029899.963 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (/ 1 (pow PI (- (/ k 2)))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) (/ (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) (cbrt (sqrt (* (* PI 2) n))))))) 1537029899.963 * * * * [misc]progress: [ 79 / 243 ] simplifiying candidate # 1537029899.963 * [enter]simplify: Simplifying (/ (/ 1 (pow PI (- (/ k 2)))) (sqrt (* 2 n))) 1537029899.964 * * [misc]simplify: iters left: 6 (12 enodes) 1537029899.969 * * [misc]simplify: iters left: 5 (19 enodes) 1537029899.975 * * [misc]simplify: iters left: 4 (22 enodes) 1537029899.983 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (* n 2))) (pow PI (- (/ k 2)))) 1537029899.983 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ 1 (sqrt (* n 2))) (pow PI (- (/ k 2)))) (/ (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) (sqrt PI))))) 1537029899.983 * [enter]simplify: Simplifying (/ (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) (sqrt PI)) 1537029899.984 * * [misc]simplify: iters left: 6 (12 enodes) 1537029899.989 * * [misc]simplify: iters left: 5 (17 enodes) 1537029899.994 * * [misc]simplify: iters left: 4 (20 enodes) 1537029900.002 * [exit]simplify: Simplified to (/ (/ (sqrt k) (sqrt PI)) (pow (* n 2) (/ (- k) 2))) 1537029900.002 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (/ 1 (pow PI (- (/ k 2)))) (sqrt (* 2 n))) (/ (/ (sqrt k) (sqrt PI)) (pow (* n 2) (/ (- k) 2)))))) 1537029900.002 * * * * [misc]progress: [ 80 / 243 ] simplifiying candidate # 1537029900.002 * [enter]simplify: Simplifying (/ (/ 1 (pow PI (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI)))) 1537029900.003 * * [misc]simplify: iters left: 6 (14 enodes) 1537029900.009 * * [misc]simplify: iters left: 5 (24 enodes) 1537029900.018 * * [misc]simplify: iters left: 4 (33 enodes) 1537029900.029 * * [misc]simplify: iters left: 3 (35 enodes) 1537029900.043 * [exit]simplify: Simplified to (/ (/ 1 (pow PI (- (/ k 2)))) (sqrt (sqrt (* 2 (* n PI))))) 1537029900.043 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ 1 (pow PI (- (/ k 2)))) (sqrt (sqrt (* 2 (* n PI))))) (/ (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI))))))) 1537029900.043 * [enter]simplify: Simplifying (/ (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI)))) 1537029900.045 * * [misc]simplify: iters left: 6 (15 enodes) 1537029900.051 * * [misc]simplify: iters left: 5 (22 enodes) 1537029900.060 * * [misc]simplify: iters left: 4 (31 enodes) 1537029900.069 * * [misc]simplify: iters left: 3 (32 enodes) 1537029900.078 * [exit]simplify: Simplified to (/ (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) (sqrt (sqrt (* (* PI 2) n)))) 1537029900.078 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (/ 1 (pow PI (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI)))) (/ (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) (sqrt (sqrt (* (* PI 2) n))))))) 1537029900.078 * * * * [misc]progress: [ 81 / 243 ] simplifiying candidate # 1537029900.078 * [enter]simplify: Simplifying (/ (/ 1 (pow PI (- (/ k 2)))) 1) 1537029900.079 * * [misc]simplify: iters left: 6 (9 enodes) 1537029900.081 * * [misc]simplify: iters left: 5 (15 enodes) 1537029900.084 * * [misc]simplify: iters left: 4 (18 enodes) 1537029900.087 * * [misc]simplify: iters left: 3 (21 enodes) 1537029900.089 * [exit]simplify: Simplified to (/ 1 (pow PI (- (/ k 2)))) 1537029900.089 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- (/ k 2)))) (/ (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) (sqrt (* (* 2 n) PI)))))) 1537029900.090 * [enter]simplify: Simplifying (/ (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) (sqrt (* (* 2 n) PI))) 1537029900.090 * * [misc]simplify: iters left: 6 (14 enodes) 1537029900.094 * * [misc]simplify: iters left: 5 (21 enodes) 1537029900.098 * * [misc]simplify: iters left: 4 (30 enodes) 1537029900.102 * * [misc]simplify: iters left: 3 (31 enodes) 1537029900.109 * [exit]simplify: Simplified to (/ (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) (sqrt (* 2 (* n PI)))) 1537029900.109 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- (/ k 2)))) (/ (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) (sqrt (* 2 (* n PI))))))) 1537029900.109 * * * * [misc]progress: [ 82 / 243 ] simplifiying candidate # 1537029900.109 * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) 1537029900.111 * * [misc]simplify: iters left: 6 (19 enodes) 1537029900.120 * * [misc]simplify: iters left: 5 (34 enodes) 1537029900.133 * * [misc]simplify: iters left: 4 (48 enodes) 1537029900.152 * * [misc]simplify: iters left: 3 (62 enodes) 1537029900.165 * * [misc]simplify: iters left: 2 (74 enodes) 1537029900.175 * * [misc]simplify: iters left: 1 (77 enodes) 1537029900.190 * [exit]simplify: Simplified to (/ (/ 1 (* (cbrt (sqrt (* 2 (* n PI)))) (cbrt (pow (* 2 (* n PI)) (- (/ k 2)))))) (* (cbrt (sqrt (* 2 (* n PI)))) (cbrt (pow (* 2 (* n PI)) (- (/ k 2)))))) 1537029900.190 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ 1 (* (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) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (sqrt (* (* 2 n) PI))))))) 1537029900.190 * [enter]simplify: Simplifying (/ (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (sqrt (* (* 2 n) PI)))) 1537029900.191 * * [misc]simplify: iters left: 6 (17 enodes) 1537029900.195 * * [misc]simplify: iters left: 5 (26 enodes) 1537029900.199 * * [misc]simplify: iters left: 4 (33 enodes) 1537029900.204 * * [misc]simplify: iters left: 3 (34 enodes) 1537029900.212 * [exit]simplify: Simplified to (/ (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- (/ k 2))))) (cbrt (sqrt (* 2 (* PI n))))) 1537029900.212 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (/ 1 (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) (/ (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- (/ k 2))))) (cbrt (sqrt (* 2 (* PI n)))))))) 1537029900.212 * * * * [misc]progress: [ 83 / 243 ] simplifiying candidate # 1537029900.212 * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) (sqrt (* 2 n))) 1537029900.213 * * [misc]simplify: iters left: 6 (16 enodes) 1537029900.217 * * [misc]simplify: iters left: 5 (27 enodes) 1537029900.222 * * [misc]simplify: iters left: 4 (38 enodes) 1537029900.228 * * [misc]simplify: iters left: 3 (42 enodes) 1537029900.234 * * [misc]simplify: iters left: 2 (48 enodes) 1537029900.250 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (* n 2))) (* (cbrt (pow (* n (* 2 PI)) (/ (- k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- k) 2))))) 1537029900.250 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ 1 (sqrt (* n 2))) (* (cbrt (pow (* n (* 2 PI)) (/ (- k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- k) 2))))) (/ (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt PI))))) 1537029900.250 * [enter]simplify: Simplifying (/ (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt PI)) 1537029900.251 * * [misc]simplify: iters left: 6 (14 enodes) 1537029900.254 * * [misc]simplify: iters left: 5 (22 enodes) 1537029900.258 * * [misc]simplify: iters left: 4 (31 enodes) 1537029900.263 * * [misc]simplify: iters left: 3 (33 enodes) 1537029900.269 * [exit]simplify: Simplified to (/ (/ (sqrt k) (sqrt PI)) (cbrt (pow (* PI (* n 2)) (/ (- k) 2)))) 1537029900.269 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (/ 1 (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) (sqrt (* 2 n))) (/ (/ (sqrt k) (sqrt PI)) (cbrt (pow (* PI (* n 2)) (/ (- k) 2))))))) 1537029900.269 * * * * [misc]progress: [ 84 / 243 ] simplifiying candidate # 1537029900.269 * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) (sqrt (sqrt (* (* 2 n) PI)))) 1537029900.271 * * [misc]simplify: iters left: 6 (18 enodes) 1537029900.275 * * [misc]simplify: iters left: 5 (31 enodes) 1537029900.281 * * [misc]simplify: iters left: 4 (40 enodes) 1537029900.288 * * [misc]simplify: iters left: 3 (44 enodes) 1537029900.294 * * [misc]simplify: iters left: 2 (50 enodes) 1537029900.304 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* n (* 2 PI)) (/ (- k) 2)))) (* (sqrt (sqrt (* n (* 2 PI)))) (cbrt (pow (* n (* 2 PI)) (/ (- k) 2))))) 1537029900.304 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ 1 (cbrt (pow (* n (* 2 PI)) (/ (- k) 2)))) (* (sqrt (sqrt (* n (* 2 PI)))) (cbrt (pow (* n (* 2 PI)) (/ (- k) 2))))) (/ (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (* (* 2 n) PI))))))) 1537029900.304 * [enter]simplify: Simplifying (/ (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (* (* 2 n) PI)))) 1537029900.305 * * [misc]simplify: iters left: 6 (17 enodes) 1537029900.309 * * [misc]simplify: iters left: 5 (26 enodes) 1537029900.314 * * [misc]simplify: iters left: 4 (33 enodes) 1537029900.320 * * [misc]simplify: iters left: 3 (34 enodes) 1537029900.332 * [exit]simplify: Simplified to (/ (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- (/ k 2))))) (sqrt (sqrt (* 2 (* PI n))))) 1537029900.332 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (/ 1 (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) (sqrt (sqrt (* (* 2 n) PI)))) (/ (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- (/ k 2))))) (sqrt (sqrt (* 2 (* PI n)))))))) 1537029900.333 * * * * [misc]progress: [ 85 / 243 ] simplifiying candidate # 1537029900.333 * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1) 1537029900.334 * * [misc]simplify: iters left: 6 (14 enodes) 1537029900.341 * * [misc]simplify: iters left: 5 (26 enodes) 1537029900.351 * * [misc]simplify: iters left: 4 (37 enodes) 1537029900.364 * * [misc]simplify: iters left: 3 (42 enodes) 1537029900.377 * * [misc]simplify: iters left: 2 (43 enodes) 1537029900.388 * [exit]simplify: Simplified to (/ 1 (* (cbrt (pow (* 2 (* n PI)) (/ (- k) 2))) (cbrt (pow (* 2 (* n PI)) (/ (- k) 2))))) 1537029900.388 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (* (cbrt (pow (* 2 (* n PI)) (/ (- k) 2))) (cbrt (pow (* 2 (* n PI)) (/ (- k) 2))))) (/ (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (* 2 n) PI)))))) 1537029900.388 * [enter]simplify: Simplifying (/ (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (* 2 n) PI))) 1537029900.389 * * [misc]simplify: iters left: 6 (16 enodes) 1537029900.393 * * [misc]simplify: iters left: 5 (25 enodes) 1537029900.397 * * [misc]simplify: iters left: 4 (32 enodes) 1537029900.402 * * [misc]simplify: iters left: 3 (33 enodes) 1537029900.408 * [exit]simplify: Simplified to (/ (/ (sqrt k) (sqrt (* n (* 2 PI)))) (cbrt (pow (* n (* 2 PI)) (- (/ k 2))))) 1537029900.408 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (* (cbrt (pow (* 2 (* n PI)) (/ (- k) 2))) (cbrt (pow (* 2 (* n PI)) (/ (- k) 2))))) (/ (/ (sqrt k) (sqrt (* n (* 2 PI)))) (cbrt (pow (* n (* 2 PI)) (- (/ k 2)))))))) 1537029900.408 * * * * [misc]progress: [ 86 / 243 ] simplifiying candidate # 1537029900.408 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) 1537029900.409 * * [misc]simplify: iters left: 6 (18 enodes) 1537029900.413 * * [misc]simplify: iters left: 5 (31 enodes) 1537029900.419 * * [misc]simplify: iters left: 4 (41 enodes) 1537029900.432 * * [misc]simplify: iters left: 3 (47 enodes) 1537029900.445 * * [misc]simplify: iters left: 2 (48 enodes) 1537029900.459 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- k) 2)))) (* (cbrt (sqrt (* n (* 2 PI)))) (cbrt (sqrt (* n (* 2 PI)))))) 1537029900.459 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- k) 2)))) (* (cbrt (sqrt (* n (* 2 PI)))) (cbrt (sqrt (* n (* 2 PI)))))) (/ (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (sqrt (* (* 2 n) PI))))))) 1537029900.460 * [enter]simplify: Simplifying (/ (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (sqrt (* (* 2 n) PI)))) 1537029900.461 * * [misc]simplify: iters left: 6 (17 enodes) 1537029900.466 * * [misc]simplify: iters left: 5 (26 enodes) 1537029900.471 * * [misc]simplify: iters left: 4 (33 enodes) 1537029900.476 * * [misc]simplify: iters left: 3 (34 enodes) 1537029900.482 * [exit]simplify: Simplified to (/ (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- (/ k 2))))) (cbrt (sqrt (* 2 (* PI n))))) 1537029900.482 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (/ 1 (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) (/ (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- (/ k 2))))) (cbrt (sqrt (* 2 (* PI n)))))))) 1537029900.482 * * * * [misc]progress: [ 87 / 243 ] simplifiying candidate # 1537029900.483 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* 2 n))) 1537029900.483 * * [misc]simplify: iters left: 6 (15 enodes) 1537029900.487 * * [misc]simplify: iters left: 5 (24 enodes) 1537029900.491 * * [misc]simplify: iters left: 4 (33 enodes) 1537029900.496 * * [misc]simplify: iters left: 3 (34 enodes) 1537029900.508 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (* n 2))) (sqrt (pow (* 2 (* n PI)) (- (/ k 2))))) 1537029900.508 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ 1 (sqrt (* n 2))) (sqrt (pow (* 2 (* n PI)) (- (/ k 2))))) (/ (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt PI))))) 1537029900.509 * [enter]simplify: Simplifying (/ (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt PI)) 1537029900.510 * * [misc]simplify: iters left: 6 (14 enodes) 1537029900.516 * * [misc]simplify: iters left: 5 (22 enodes) 1537029900.525 * * [misc]simplify: iters left: 4 (31 enodes) 1537029900.535 * * [misc]simplify: iters left: 3 (33 enodes) 1537029900.547 * [exit]simplify: Simplified to (/ (/ (sqrt k) (sqrt PI)) (sqrt (pow (* PI (* n 2)) (/ (- k) 2)))) 1537029900.547 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (/ 1 (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* 2 n))) (/ (/ (sqrt k) (sqrt PI)) (sqrt (pow (* PI (* n 2)) (/ (- k) 2))))))) 1537029900.547 * * * * [misc]progress: [ 88 / 243 ] simplifiying candidate # 1537029900.548 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (* (* 2 n) PI)))) 1537029900.549 * * [misc]simplify: iters left: 6 (17 enodes) 1537029900.557 * * [misc]simplify: iters left: 5 (28 enodes) 1537029900.568 * * [misc]simplify: iters left: 4 (35 enodes) 1537029900.579 * * [misc]simplify: iters left: 3 (36 enodes) 1537029900.592 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (* 2 (* n PI))))) (sqrt (pow (* 2 (* n PI)) (- (/ k 2))))) 1537029900.592 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ 1 (sqrt (sqrt (* 2 (* n PI))))) (sqrt (pow (* 2 (* n PI)) (- (/ k 2))))) (/ (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (* (* 2 n) PI))))))) 1537029900.593 * [enter]simplify: Simplifying (/ (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (* (* 2 n) PI)))) 1537029900.594 * * [misc]simplify: iters left: 6 (17 enodes) 1537029900.602 * * [misc]simplify: iters left: 5 (26 enodes) 1537029900.609 * * [misc]simplify: iters left: 4 (33 enodes) 1537029900.614 * * [misc]simplify: iters left: 3 (34 enodes) 1537029900.621 * [exit]simplify: Simplified to (/ (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- (/ k 2))))) (sqrt (sqrt (* 2 (* PI n))))) 1537029900.621 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (/ 1 (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (* (* 2 n) PI)))) (/ (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- (/ k 2))))) (sqrt (sqrt (* 2 (* PI n)))))))) 1537029900.621 * * * * [misc]progress: [ 89 / 243 ] simplifiying candidate # 1537029900.621 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) 1) 1537029900.622 * * [misc]simplify: iters left: 6 (13 enodes) 1537029900.625 * * [misc]simplify: iters left: 5 (23 enodes) 1537029900.630 * * [misc]simplify: iters left: 4 (32 enodes) 1537029900.635 * * [misc]simplify: iters left: 3 (36 enodes) 1537029900.640 * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* (* 2 PI) n) (/ (- k) 2)))) 1537029900.640 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (* (* 2 PI) n) (/ (- k) 2)))) (/ (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (* 2 n) PI)))))) 1537029900.641 * [enter]simplify: Simplifying (/ (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (* 2 n) PI))) 1537029900.642 * * [misc]simplify: iters left: 6 (16 enodes) 1537029900.645 * * [misc]simplify: iters left: 5 (25 enodes) 1537029900.651 * * [misc]simplify: iters left: 4 (32 enodes) 1537029900.656 * * [misc]simplify: iters left: 3 (33 enodes) 1537029900.664 * [exit]simplify: Simplified to (/ (/ (sqrt k) (sqrt (* n (* 2 PI)))) (sqrt (pow (* n (* 2 PI)) (- (/ k 2))))) 1537029900.664 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (* (* 2 PI) n) (/ (- k) 2)))) (/ (/ (sqrt k) (sqrt (* n (* 2 PI)))) (sqrt (pow (* n (* 2 PI)) (- (/ k 2)))))))) 1537029900.664 * * * * [misc]progress: [ 90 / 243 ] simplifiying candidate # 1537029900.664 * [enter]simplify: Simplifying (/ (/ 1 1) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) 1537029900.665 * * [misc]simplify: iters left: 6 (11 enodes) 1537029900.670 * * [misc]simplify: iters left: 5 (19 enodes) 1537029900.677 * * [misc]simplify: iters left: 4 (25 enodes) 1537029900.685 * * [misc]simplify: iters left: 3 (27 enodes) 1537029900.693 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (* n (* 2 PI)))) (cbrt (sqrt (* n (* 2 PI)))))) 1537029900.693 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (* (cbrt (sqrt (* n (* 2 PI)))) (cbrt (sqrt (* n (* 2 PI)))))) (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (* (* 2 n) PI))))))) 1537029900.694 * [enter]simplify: Simplifying (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (* (* 2 n) PI)))) 1537029900.695 * * [misc]simplify: iters left: 6 (16 enodes) 1537029900.702 * * [misc]simplify: iters left: 5 (26 enodes) 1537029900.711 * * [misc]simplify: iters left: 4 (33 enodes) 1537029900.720 * * [misc]simplify: iters left: 3 (35 enodes) 1537029900.732 * [exit]simplify: Simplified to (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (* PI (* n 2))))) 1537029900.732 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (* (cbrt (sqrt (* n (* 2 PI)))) (cbrt (sqrt (* n (* 2 PI)))))) (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (* PI (* n 2)))))))) 1537029900.732 * * * * [misc]progress: [ 91 / 243 ] simplifiying candidate # 1537029900.732 * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (* 2 n))) 1537029900.733 * * [misc]simplify: iters left: 5 (7 enodes) 1537029900.736 * * [misc]simplify: iters left: 4 (10 enodes) 1537029900.739 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1537029900.739 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* 2 n))) (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt PI))))) 1537029900.739 * [enter]simplify: Simplifying (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt PI)) 1537029900.741 * * [misc]simplify: iters left: 6 (13 enodes) 1537029900.745 * * [misc]simplify: iters left: 5 (21 enodes) 1537029900.749 * * [misc]simplify: iters left: 4 (30 enodes) 1537029900.754 * * [misc]simplify: iters left: 3 (32 enodes) 1537029900.761 * [exit]simplify: Simplified to (/ (/ (sqrt k) (sqrt PI)) (pow (* n (* 2 PI)) (/ (- k) 2))) 1537029900.761 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* 2 n))) (/ (/ (sqrt k) (sqrt PI)) (pow (* n (* 2 PI)) (/ (- k) 2)))))) 1537029900.761 * * * * [misc]progress: [ 92 / 243 ] simplifiying candidate # 1537029900.762 * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (sqrt (* (* 2 n) PI)))) 1537029900.762 * * [misc]simplify: iters left: 6 (10 enodes) 1537029900.765 * * [misc]simplify: iters left: 5 (16 enodes) 1537029900.771 * * [misc]simplify: iters left: 4 (22 enodes) 1537029900.777 * * [misc]simplify: iters left: 3 (24 enodes) 1537029900.784 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (* (* 2 n) PI)))) 1537029900.784 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (sqrt (* (* 2 n) PI)))) (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI))))))) 1537029900.785 * [enter]simplify: Simplifying (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI)))) 1537029900.786 * * [misc]simplify: iters left: 6 (16 enodes) 1537029900.794 * * [misc]simplify: iters left: 5 (26 enodes) 1537029900.803 * * [misc]simplify: iters left: 4 (33 enodes) 1537029900.812 * * [misc]simplify: iters left: 3 (35 enodes) 1537029900.824 * [exit]simplify: Simplified to (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (* PI (* n 2))))) 1537029900.824 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (sqrt (* (* 2 n) PI)))) (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (* PI (* n 2)))))))) 1537029900.824 * * * * [misc]progress: [ 93 / 243 ] simplifiying candidate # 1537029900.824 * [enter]simplify: Simplifying (/ (/ 1 1) 1) 1537029900.825 * * [misc]simplify: iters left: 4 (3 enodes) 1537029900.826 * * [misc]simplify: iters left: 3 (5 enodes) 1537029900.827 * [exit]simplify: Simplified to 1 1537029900.827 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* 1 (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (* 2 n) PI)))))) 1537029900.827 * [enter]simplify: Simplifying (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (* 2 n) PI))) 1537029900.829 * * [misc]simplify: iters left: 6 (15 enodes) 1537029900.835 * * [misc]simplify: iters left: 5 (25 enodes) 1537029900.844 * * [misc]simplify: iters left: 4 (32 enodes) 1537029900.853 * * [misc]simplify: iters left: 3 (34 enodes) 1537029900.860 * [exit]simplify: Simplified to (/ (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2))) (sqrt (* n (* 2 PI)))) 1537029900.860 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* 1 (/ (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2))) (sqrt (* n (* 2 PI))))))) 1537029900.861 * * * * [misc]progress: [ 94 / 243 ] simplifiying candidate # 1537029900.861 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) 1537029900.861 * * [misc]simplify: iters left: 6 (10 enodes) 1537029900.864 * * [misc]simplify: iters left: 5 (18 enodes) 1537029900.869 * * [misc]simplify: iters left: 4 (24 enodes) 1537029900.873 * * [misc]simplify: iters left: 3 (25 enodes) 1537029900.877 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (* n (* 2 PI)))) (cbrt (sqrt (* n (* 2 PI)))))) 1537029900.877 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (* (cbrt (sqrt (* n (* 2 PI)))) (cbrt (sqrt (* n (* 2 PI)))))) (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (* (* 2 n) PI))))))) 1537029900.877 * [enter]simplify: Simplifying (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (* (* 2 n) PI)))) 1537029900.878 * * [misc]simplify: iters left: 6 (16 enodes) 1537029900.882 * * [misc]simplify: iters left: 5 (26 enodes) 1537029900.890 * * [misc]simplify: iters left: 4 (33 enodes) 1537029900.901 * * [misc]simplify: iters left: 3 (35 enodes) 1537029900.913 * [exit]simplify: Simplified to (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (* PI (* n 2))))) 1537029900.913 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (* PI (* n 2)))))))) 1537029900.913 * * * * [misc]progress: [ 95 / 243 ] simplifiying candidate # 1537029900.914 * [enter]simplify: Simplifying (/ 1 (sqrt (* 2 n))) 1537029900.914 * * [misc]simplify: iters left: 5 (6 enodes) 1537029900.917 * * [misc]simplify: iters left: 4 (9 enodes) 1537029900.919 * [exit]simplify: Simplified to (/ 1 (sqrt (* n 2))) 1537029900.919 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n 2))) (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt PI))))) 1537029900.920 * [enter]simplify: Simplifying (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt PI)) 1537029900.920 * * [misc]simplify: iters left: 6 (13 enodes) 1537029900.923 * * [misc]simplify: iters left: 5 (21 enodes) 1537029900.927 * * [misc]simplify: iters left: 4 (30 enodes) 1537029900.932 * * [misc]simplify: iters left: 3 (32 enodes) 1537029900.938 * [exit]simplify: Simplified to (/ (/ (sqrt k) (sqrt PI)) (pow (* n (* 2 PI)) (/ (- k) 2))) 1537029900.938 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* 2 n))) (/ (/ (sqrt k) (sqrt PI)) (pow (* n (* 2 PI)) (/ (- k) 2)))))) 1537029900.938 * * * * [misc]progress: [ 96 / 243 ] simplifiying candidate # 1537029900.938 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (* (* 2 n) PI)))) 1537029900.939 * * [misc]simplify: iters left: 6 (9 enodes) 1537029900.941 * * [misc]simplify: iters left: 5 (15 enodes) 1537029900.944 * * [misc]simplify: iters left: 4 (21 enodes) 1537029900.948 * * [misc]simplify: iters left: 3 (22 enodes) 1537029900.955 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (* (* 2 PI) n)))) 1537029900.955 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (sqrt (* (* 2 PI) n)))) (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI))))))) 1537029900.955 * [enter]simplify: Simplifying (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI)))) 1537029900.959 * * [misc]simplify: iters left: 6 (16 enodes) 1537029900.967 * * [misc]simplify: iters left: 5 (26 enodes) 1537029900.976 * * [misc]simplify: iters left: 4 (33 enodes) 1537029900.981 * * [misc]simplify: iters left: 3 (35 enodes) 1537029900.987 * [exit]simplify: Simplified to (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (* PI (* n 2))))) 1537029900.987 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (sqrt (* (* 2 n) PI)))) (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (* PI (* n 2)))))))) 1537029900.987 * * * * [misc]progress: [ 97 / 243 ] simplifiying candidate # 1537029900.987 * [enter]simplify: Simplifying (/ 1 1) 1537029900.987 * * [misc]simplify: iters left: 2 (2 enodes) 1537029900.988 * * [misc]simplify: iters left: 1 (4 enodes) 1537029900.988 * [exit]simplify: Simplified to 1 1537029900.988 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* 1 (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (* 2 n) PI)))))) 1537029900.989 * [enter]simplify: Simplifying (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (* 2 n) PI))) 1537029900.989 * * [misc]simplify: iters left: 6 (15 enodes) 1537029900.993 * * [misc]simplify: iters left: 5 (25 enodes) 1537029900.998 * * [misc]simplify: iters left: 4 (32 enodes) 1537029901.003 * * [misc]simplify: iters left: 3 (34 enodes) 1537029901.015 * [exit]simplify: Simplified to (/ (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2))) (sqrt (* n (* 2 PI)))) 1537029901.015 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* 1 (/ (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2))) (sqrt (* n (* 2 PI))))))) 1537029901.015 * * * * [misc]progress: [ 98 / 243 ] simplifiying candidate # 1537029901.015 * [enter]simplify: Simplifying (/ (sqrt k) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) 1537029901.017 * * [misc]simplify: iters left: 6 (11 enodes) 1537029901.022 * * [misc]simplify: iters left: 5 (17 enodes) 1537029901.028 * * [misc]simplify: iters left: 4 (23 enodes) 1537029901.036 * * [misc]simplify: iters left: 3 (24 enodes) 1537029901.044 * [exit]simplify: Simplified to (/ (sqrt k) (* (cbrt (sqrt (* (* n PI) 2))) (cbrt (sqrt (* (* n PI) 2))))) 1537029901.044 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt k) (* (cbrt (sqrt (* (* n PI) 2))) (cbrt (sqrt (* (* n PI) 2))))) (/ (/ 1 (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (* (* 2 n) PI))))))) 1537029901.045 * [enter]simplify: Simplifying (/ (/ 1 (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (* (* 2 n) PI)))) 1537029901.046 * * [misc]simplify: iters left: 6 (16 enodes) 1537029901.054 * * [misc]simplify: iters left: 5 (27 enodes) 1537029901.065 * * [misc]simplify: iters left: 4 (34 enodes) 1537029901.075 * * [misc]simplify: iters left: 3 (35 enodes) 1537029901.087 * [exit]simplify: Simplified to (/ (/ 1 (pow (* n (* 2 PI)) (/ (- k) 2))) (cbrt (sqrt (* n (* 2 PI))))) 1537029901.087 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt k) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) (/ (/ 1 (pow (* n (* 2 PI)) (/ (- k) 2))) (cbrt (sqrt (* n (* 2 PI)))))))) 1537029901.087 * * * * [misc]progress: [ 99 / 243 ] simplifiying candidate # 1537029901.087 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (* 2 n))) 1537029901.088 * * [misc]simplify: iters left: 5 (7 enodes) 1537029901.090 * * [misc]simplify: iters left: 4 (8 enodes) 1537029901.093 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (* 2 n))) 1537029901.093 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt k) (sqrt (* 2 n))) (/ (/ 1 (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt PI))))) 1537029901.093 * [enter]simplify: Simplifying (/ (/ 1 (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt PI)) 1537029901.095 * * [misc]simplify: iters left: 6 (13 enodes) 1537029901.100 * * [misc]simplify: iters left: 5 (23 enodes) 1537029901.109 * * [misc]simplify: iters left: 4 (32 enodes) 1537029901.119 * * [misc]simplify: iters left: 3 (33 enodes) 1537029901.130 * [exit]simplify: Simplified to (/ (/ 1 (sqrt PI)) (pow (* (* 2 PI) n) (/ (- k) 2))) 1537029901.130 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt k) (sqrt (* 2 n))) (/ (/ 1 (sqrt PI)) (pow (* (* 2 PI) n) (/ (- k) 2)))))) 1537029901.130 * * * * [misc]progress: [ 100 / 243 ] simplifiying candidate # 1537029901.130 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (sqrt (* (* 2 n) PI)))) 1537029901.131 * * [misc]simplify: iters left: 6 (10 enodes) 1537029901.135 * * [misc]simplify: iters left: 5 (14 enodes) 1537029901.141 * * [misc]simplify: iters left: 4 (20 enodes) 1537029901.148 * * [misc]simplify: iters left: 3 (22 enodes) 1537029901.155 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (sqrt (* n (* 2 PI))))) 1537029901.155 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt k) (sqrt (sqrt (* n (* 2 PI))))) (/ (/ 1 (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI))))))) 1537029901.156 * [enter]simplify: Simplifying (/ (/ 1 (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI)))) 1537029901.157 * * [misc]simplify: iters left: 6 (16 enodes) 1537029901.165 * * [misc]simplify: iters left: 5 (27 enodes) 1537029901.174 * * [misc]simplify: iters left: 4 (34 enodes) 1537029901.183 * * [misc]simplify: iters left: 3 (35 enodes) 1537029901.191 * [exit]simplify: Simplified to (/ (/ 1 (pow (* n (* 2 PI)) (/ (- k) 2))) (sqrt (sqrt (* n (* 2 PI))))) 1537029901.191 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt k) (sqrt (sqrt (* (* 2 n) PI)))) (/ (/ 1 (pow (* n (* 2 PI)) (/ (- k) 2))) (sqrt (sqrt (* n (* 2 PI)))))))) 1537029901.191 * * * * [misc]progress: [ 101 / 243 ] simplifiying candidate # 1537029901.191 * [enter]simplify: Simplifying (/ (sqrt k) 1) 1537029901.191 * * [misc]simplify: iters left: 3 (4 enodes) 1537029901.192 * * [misc]simplify: iters left: 2 (6 enodes) 1537029901.194 * * [misc]simplify: iters left: 1 (8 enodes) 1537029901.194 * [exit]simplify: Simplified to (sqrt k) 1537029901.194 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (sqrt k) (/ (/ 1 (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (* 2 n) PI)))))) 1537029901.195 * [enter]simplify: Simplifying (/ (/ 1 (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (* 2 n) PI))) 1537029901.195 * * [misc]simplify: iters left: 6 (15 enodes) 1537029901.199 * * [misc]simplify: iters left: 5 (26 enodes) 1537029901.203 * * [misc]simplify: iters left: 4 (33 enodes) 1537029901.208 * * [misc]simplify: iters left: 3 (34 enodes) 1537029901.217 * [exit]simplify: Simplified to (/ (/ 1 (pow (* 2 (* n PI)) (- (/ k 2)))) (sqrt (* 2 (* n PI)))) 1537029901.217 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (sqrt k) (/ (/ 1 (pow (* 2 (* n PI)) (- (/ k 2)))) (sqrt (* 2 (* n PI))))))) 1537029901.217 * * * * [misc]progress: [ 102 / 243 ] simplifiying candidate # 1537029901.218 * [enter]simplify: Simplifying (/ (/ (sqrt k) 1) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) 1537029901.219 * * [misc]simplify: iters left: 6 (13 enodes) 1537029901.225 * * [misc]simplify: iters left: 5 (23 enodes) 1537029901.235 * * [misc]simplify: iters left: 4 (37 enodes) 1537029901.247 * * [misc]simplify: iters left: 3 (47 enodes) 1537029901.261 * [exit]simplify: Simplified to (/ (/ (sqrt k) (cbrt (sqrt (* (* PI 2) n)))) (cbrt (sqrt (* (* PI 2) n)))) 1537029901.261 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ (sqrt k) (cbrt (sqrt (* (* PI 2) n)))) (cbrt (sqrt (* (* PI 2) n)))) (/ (pow (* PI (* n 2)) (/ k 2)) (cbrt (sqrt (* (* 2 n) PI))))))) 1537029901.261 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (/ k 2)) (cbrt (sqrt (* (* 2 n) PI)))) 1537029901.262 * * [misc]simplify: iters left: 6 (13 enodes) 1537029901.268 * * [misc]simplify: iters left: 5 (18 enodes) 1537029901.271 * * [misc]simplify: iters left: 4 (22 enodes) 1537029901.274 * * [misc]simplify: iters left: 3 (23 enodes) 1537029901.278 * [exit]simplify: Simplified to (/ (pow (* PI (* 2 n)) (/ k 2)) (cbrt (sqrt (* PI (* 2 n))))) 1537029901.278 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (/ (sqrt k) (cbrt (sqrt (* (* PI 2) n)))) (cbrt (sqrt (* (* PI 2) n)))) (/ (pow (* PI (* 2 n)) (/ k 2)) (cbrt (sqrt (* PI (* 2 n)))))))) 1537029901.278 * * * * [misc]progress: [ 103 / 243 ] simplifiying candidate # 1537029901.278 * [enter]simplify: Simplifying (/ (/ (sqrt k) 1) (sqrt (* 2 n))) 1537029901.279 * * [misc]simplify: iters left: 5 (9 enodes) 1537029901.282 * * [misc]simplify: iters left: 4 (14 enodes) 1537029901.285 * * [misc]simplify: iters left: 3 (19 enodes) 1537029901.288 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (* 2 n))) 1537029901.288 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt k) (sqrt (* 2 n))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI))))) 1537029901.288 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)) 1537029901.289 * * [misc]simplify: iters left: 6 (10 enodes) 1537029901.291 * * [misc]simplify: iters left: 5 (14 enodes) 1537029901.294 * * [misc]simplify: iters left: 4 (20 enodes) 1537029901.297 * * [misc]simplify: iters left: 3 (22 enodes) 1537029901.301 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (/ k 2)) (sqrt PI)) 1537029901.301 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt k) (sqrt (* 2 n))) (/ (pow (* (* 2 n) PI) (/ k 2)) (sqrt PI))))) 1537029901.301 * * * * [misc]progress: [ 104 / 243 ] simplifiying candidate # 1537029901.301 * [enter]simplify: Simplifying (/ (/ (sqrt k) 1) (sqrt (sqrt (* (* 2 n) PI)))) 1537029901.302 * * [misc]simplify: iters left: 6 (12 enodes) 1537029901.304 * * [misc]simplify: iters left: 5 (20 enodes) 1537029901.309 * * [misc]simplify: iters left: 4 (31 enodes) 1537029901.316 * * [misc]simplify: iters left: 3 (33 enodes) 1537029901.324 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (sqrt (* n (* PI 2))))) 1537029901.325 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt k) (sqrt (sqrt (* n (* PI 2))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt (sqrt (* (* 2 n) PI))))))) 1537029901.325 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt (sqrt (* (* 2 n) PI)))) 1537029901.326 * * [misc]simplify: iters left: 6 (13 enodes) 1537029901.332 * * [misc]simplify: iters left: 5 (18 enodes) 1537029901.338 * * [misc]simplify: iters left: 4 (22 enodes) 1537029901.345 * * [misc]simplify: iters left: 3 (23 enodes) 1537029901.353 * [exit]simplify: Simplified to (/ (pow (* PI (* 2 n)) (/ k 2)) (sqrt (sqrt (* PI (* 2 n))))) 1537029901.353 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt k) (sqrt (sqrt (* n (* PI 2))))) (/ (pow (* PI (* 2 n)) (/ k 2)) (sqrt (sqrt (* PI (* 2 n)))))))) 1537029901.353 * * * * [misc]progress: [ 105 / 243 ] simplifiying candidate # 1537029901.353 * [enter]simplify: Simplifying (/ (/ (sqrt k) 1) 1) 1537029901.354 * * [misc]simplify: iters left: 5 (5 enodes) 1537029901.356 * * [misc]simplify: iters left: 4 (7 enodes) 1537029901.357 * [exit]simplify: Simplified to (sqrt k) 1537029901.357 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (sqrt k) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt (* (* 2 n) PI)))))) 1537029901.357 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt (* (* 2 n) PI))) 1537029901.358 * * [misc]simplify: iters left: 6 (12 enodes) 1537029901.364 * * [misc]simplify: iters left: 5 (17 enodes) 1537029901.370 * * [misc]simplify: iters left: 4 (21 enodes) 1537029901.374 * * [misc]simplify: iters left: 3 (22 enodes) 1537029901.378 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (/ k 2)) (sqrt (* (* 2 n) PI))) 1537029901.378 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (sqrt k) (/ (pow (* (* 2 n) PI) (/ k 2)) (sqrt (* (* 2 n) PI)))))) 1537029901.378 * * * * [misc]progress: [ 106 / 243 ] simplifiying candidate # 1537029901.378 * [enter]simplify: Simplifying (/ (/ (sqrt k) (pow (* PI (* n 2)) 0)) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) 1537029901.380 * * [misc]simplify: iters left: 6 (16 enodes) 1537029901.384 * * [misc]simplify: iters left: 5 (26 enodes) 1537029901.389 * * [misc]simplify: iters left: 4 (36 enodes) 1537029901.396 * * [misc]simplify: iters left: 3 (45 enodes) 1537029901.401 * [exit]simplify: Simplified to (/ (sqrt k) (* (cbrt (sqrt (* n (* 2 PI)))) (cbrt (sqrt (* n (* 2 PI)))))) 1537029901.402 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt k) (* (cbrt (sqrt (* n (* 2 PI)))) (cbrt (sqrt (* n (* 2 PI)))))) (/ (pow (* PI (* n 2)) (/ k 2)) (cbrt (sqrt (* (* 2 n) PI))))))) 1537029901.402 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (/ k 2)) (cbrt (sqrt (* (* 2 n) PI)))) 1537029901.402 * * [misc]simplify: iters left: 6 (13 enodes) 1537029901.405 * * [misc]simplify: iters left: 5 (18 enodes) 1537029901.408 * * [misc]simplify: iters left: 4 (22 enodes) 1537029901.412 * * [misc]simplify: iters left: 3 (23 enodes) 1537029901.416 * [exit]simplify: Simplified to (/ (pow (* PI (* 2 n)) (/ k 2)) (cbrt (sqrt (* PI (* 2 n))))) 1537029901.416 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt k) (* (cbrt (sqrt (* n (* 2 PI)))) (cbrt (sqrt (* n (* 2 PI)))))) (/ (pow (* PI (* 2 n)) (/ k 2)) (cbrt (sqrt (* PI (* 2 n)))))))) 1537029901.416 * * * * [misc]progress: [ 107 / 243 ] simplifiying candidate # 1537029901.416 * [enter]simplify: Simplifying (/ (/ (sqrt k) (pow (* PI (* n 2)) 0)) (sqrt (* 2 n))) 1537029901.417 * * [misc]simplify: iters left: 6 (13 enodes) 1537029901.420 * * [misc]simplify: iters left: 5 (19 enodes) 1537029901.423 * * [misc]simplify: iters left: 4 (27 enodes) 1537029901.428 * * [misc]simplify: iters left: 3 (33 enodes) 1537029901.433 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (* n 2))) 1537029901.433 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt k) (sqrt (* n 2))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI))))) 1537029901.433 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)) 1537029901.433 * * [misc]simplify: iters left: 6 (10 enodes) 1537029901.435 * * [misc]simplify: iters left: 5 (14 enodes) 1537029901.438 * * [misc]simplify: iters left: 4 (20 enodes) 1537029901.441 * * [misc]simplify: iters left: 3 (22 enodes) 1537029901.445 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (/ k 2)) (sqrt PI)) 1537029901.445 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt k) (sqrt (* n 2))) (/ (pow (* (* 2 n) PI) (/ k 2)) (sqrt PI))))) 1537029901.445 * * * * [misc]progress: [ 108 / 243 ] simplifiying candidate # 1537029901.445 * [enter]simplify: Simplifying (/ (/ (sqrt k) (pow (* PI (* n 2)) 0)) (sqrt (sqrt (* (* 2 n) PI)))) 1537029901.448 * * [misc]simplify: iters left: 6 (15 enodes) 1537029901.451 * * [misc]simplify: iters left: 5 (23 enodes) 1537029901.455 * * [misc]simplify: iters left: 4 (29 enodes) 1537029901.460 * * [misc]simplify: iters left: 3 (34 enodes) 1537029901.465 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (sqrt (* n (* 2 PI))))) 1537029901.465 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt k) (sqrt (sqrt (* n (* 2 PI))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt (sqrt (* (* 2 n) PI))))))) 1537029901.465 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt (sqrt (* (* 2 n) PI)))) 1537029901.466 * * [misc]simplify: iters left: 6 (13 enodes) 1537029901.470 * * [misc]simplify: iters left: 5 (18 enodes) 1537029901.477 * * [misc]simplify: iters left: 4 (22 enodes) 1537029901.484 * * [misc]simplify: iters left: 3 (23 enodes) 1537029901.492 * [exit]simplify: Simplified to (/ (pow (* PI (* 2 n)) (/ k 2)) (sqrt (sqrt (* PI (* 2 n))))) 1537029901.492 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt k) (sqrt (sqrt (* n (* 2 PI))))) (/ (pow (* PI (* 2 n)) (/ k 2)) (sqrt (sqrt (* PI (* 2 n)))))))) 1537029901.492 * * * * [misc]progress: [ 109 / 243 ] simplifiying candidate # 1537029901.492 * [enter]simplify: Simplifying (/ (/ (sqrt k) (pow (* PI (* n 2)) 0)) 1) 1537029901.493 * * [misc]simplify: iters left: 6 (12 enodes) 1537029901.499 * * [misc]simplify: iters left: 5 (19 enodes) 1537029901.505 * * [misc]simplify: iters left: 4 (25 enodes) 1537029901.512 * * [misc]simplify: iters left: 3 (26 enodes) 1537029901.518 * [exit]simplify: Simplified to (sqrt k) 1537029901.518 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (sqrt k) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt (* (* 2 n) PI)))))) 1537029901.518 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt (* (* 2 n) PI))) 1537029901.520 * * [misc]simplify: iters left: 6 (12 enodes) 1537029901.525 * * [misc]simplify: iters left: 5 (17 enodes) 1537029901.531 * * [misc]simplify: iters left: 4 (21 enodes) 1537029901.538 * * [misc]simplify: iters left: 3 (22 enodes) 1537029901.545 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (/ k 2)) (sqrt (* (* 2 n) PI))) 1537029901.545 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (sqrt k) (/ (pow (* (* 2 n) PI) (/ k 2)) (sqrt (* (* 2 n) PI)))))) 1537029901.545 * * * * [misc]progress: [ 110 / 243 ] simplifiying candidate # 1537029901.546 * * * * [misc]progress: [ 111 / 243 ] simplifiying candidate # 1537029901.546 * * * * [misc]progress: [ 112 / 243 ] simplifiying candidate # 1537029901.546 * * * * [misc]progress: [ 113 / 243 ] simplifiying candidate # 1537029901.546 * [enter]simplify: Simplifying (cbrt (sqrt (* (* 2 n) PI))) 1537029901.547 * * [misc]simplify: iters left: 6 (7 enodes) 1537029901.550 * * [misc]simplify: iters left: 5 (11 enodes) 1537029901.555 * * [misc]simplify: iters left: 4 (17 enodes) 1537029901.562 * * [misc]simplify: iters left: 3 (19 enodes) 1537029901.565 * [exit]simplify: Simplified to (cbrt (sqrt (* (* 2 n) PI))) 1537029901.565 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) (cbrt (sqrt (* (* 2 n) PI)))))) 1537029901.565 * * * * [misc]progress: [ 114 / 243 ] simplifiying candidate # 1537029901.565 * [enter]simplify: Simplifying (sqrt PI) 1537029901.565 * * [misc]simplify: iters left: 1 (2 enodes) 1537029901.565 * [exit]simplify: Simplified to (sqrt PI) 1537029901.565 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* 2 n))) (sqrt PI)))) 1537029901.565 * * * * [misc]progress: [ 115 / 243 ] simplifiying candidate # 1537029901.566 * [enter]simplify: Simplifying (sqrt (sqrt (* (* 2 n) PI))) 1537029901.566 * * [misc]simplify: iters left: 6 (7 enodes) 1537029901.568 * * [misc]simplify: iters left: 5 (11 enodes) 1537029901.570 * * [misc]simplify: iters left: 4 (17 enodes) 1537029901.573 * * [misc]simplify: iters left: 3 (19 enodes) 1537029901.576 * [exit]simplify: Simplified to (sqrt (sqrt (* (* 2 n) PI))) 1537029901.576 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI)))) (sqrt (sqrt (* (* 2 n) PI)))))) 1537029901.576 * * * * [misc]progress: [ 116 / 243 ] simplifiying candidate # 1537029901.576 * [enter]simplify: Simplifying (sqrt (* (* 2 n) PI)) 1537029901.577 * * [misc]simplify: iters left: 5 (6 enodes) 1537029901.578 * * [misc]simplify: iters left: 4 (10 enodes) 1537029901.580 * * [misc]simplify: iters left: 3 (16 enodes) 1537029901.583 * * [misc]simplify: iters left: 2 (18 enodes) 1537029901.586 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1537029901.586 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1) (sqrt (* (* 2 n) PI))))) 1537029901.586 * * * * [misc]progress: [ 117 / 243 ] simplifiying candidate # 1537029901.586 * [enter]simplify: Simplifying (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1537029901.587 * * [misc]simplify: iters left: 6 (13 enodes) 1537029901.593 * * [misc]simplify: iters left: 5 (19 enodes) 1537029901.600 * * [misc]simplify: iters left: 4 (25 enodes) 1537029901.608 * * [misc]simplify: iters left: 3 (26 enodes) 1537029901.616 * [exit]simplify: Simplified to (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2))))) 1537029901.616 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2))))) (/ (sqrt (* (* 2 n) PI)) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))))) 1537029901.616 * * * * [misc]progress: [ 118 / 243 ] simplifiying candidate # 1537029901.617 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) 1537029901.618 * * [misc]simplify: iters left: 6 (12 enodes) 1537029901.620 * * [misc]simplify: iters left: 5 (18 enodes) 1537029901.624 * * [misc]simplify: iters left: 4 (24 enodes) 1537029901.628 * * [misc]simplify: iters left: 3 (26 enodes) 1537029901.632 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- k) 2)))) 1537029901.632 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- k) 2)))) (/ (sqrt (* (* 2 n) PI)) (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))))) 1537029901.632 * * * * [misc]progress: [ 119 / 243 ] simplifiying candidate # 1537029901.633 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- (/ k 2)))) 1537029901.633 * * [misc]simplify: iters left: 6 (10 enodes) 1537029901.635 * * [misc]simplify: iters left: 5 (14 enodes) 1537029901.638 * * [misc]simplify: iters left: 4 (16 enodes) 1537029901.642 * * [misc]simplify: iters left: 3 (17 enodes) 1537029901.645 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- (/ k 2)))) 1537029901.645 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- (/ k 2)))) (/ (sqrt (* (* 2 n) PI)) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1537029901.645 * * * * [misc]progress: [ 120 / 243 ] simplifiying candidate # 1537029901.645 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537029901.646 * * [misc]simplify: iters left: 6 (15 enodes) 1537029901.653 * * [misc]simplify: iters left: 5 (27 enodes) 1537029901.660 * * [misc]simplify: iters left: 4 (42 enodes) 1537029901.667 * * [misc]simplify: iters left: 3 (46 enodes) 1537029901.674 * * [misc]simplify: iters left: 2 (49 enodes) 1537029901.684 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- (/ k 2)))))) 1537029901.684 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (* (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- (/ k 2)))))) (/ (sqrt (* (* 2 n) PI)) (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))))) 1537029901.684 * * * * [misc]progress: [ 121 / 243 ] simplifiying candidate # 1537029901.685 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) 1537029901.686 * * [misc]simplify: iters left: 6 (14 enodes) 1537029901.692 * * [misc]simplify: iters left: 5 (22 enodes) 1537029901.701 * * [misc]simplify: iters left: 4 (30 enodes) 1537029901.709 * * [misc]simplify: iters left: 3 (32 enodes) 1537029901.715 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* n 2) PI) (- (/ k 2))))) 1537029901.715 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* n 2) PI) (- (/ k 2))))) (/ (sqrt (* (* 2 n) PI)) (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))))))) 1537029901.715 * * * * [misc]progress: [ 122 / 243 ] simplifiying candidate # 1537029901.715 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1537029901.716 * * [misc]simplify: iters left: 6 (6 enodes) 1537029901.717 * * [misc]simplify: iters left: 5 (10 enodes) 1537029901.720 * * [misc]simplify: iters left: 4 (16 enodes) 1537029901.723 * * [misc]simplify: iters left: 3 (18 enodes) 1537029901.727 * * [misc]simplify: iters left: 2 (23 enodes) 1537029901.730 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1537029901.730 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (sqrt (* (* 2 n) PI)) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))))))) 1537029901.730 * * * * [misc]progress: [ 123 / 243 ] simplifiying candidate # 1537029901.731 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))) 1537029901.731 * * [misc]simplify: iters left: 6 (9 enodes) 1537029901.733 * * [misc]simplify: iters left: 5 (11 enodes) 1537029901.735 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2))) 1537029901.735 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2))) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1537029901.735 * * * * [misc]progress: [ 124 / 243 ] simplifiying candidate # 1537029901.735 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537029901.736 * * [misc]simplify: iters left: 6 (14 enodes) 1537029901.739 * * [misc]simplify: iters left: 5 (22 enodes) 1537029901.748 * * [misc]simplify: iters left: 4 (28 enodes) 1537029901.756 * * [misc]simplify: iters left: 3 (29 enodes) 1537029901.768 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (cbrt (pow (* n (* PI 2)) (- (/ k 2))))) (cbrt (pow (* n (* PI 2)) (- (/ k 2))))) 1537029901.768 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (/ (/ (sqrt (sqrt k)) (cbrt (pow (* n (* PI 2)) (- (/ k 2))))) (cbrt (pow (* n (* PI 2)) (- (/ k 2))))) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))))) 1537029901.768 * * * * [misc]progress: [ 125 / 243 ] simplifiying candidate # 1537029901.768 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) 1537029901.770 * * [misc]simplify: iters left: 6 (13 enodes) 1537029901.776 * * [misc]simplify: iters left: 5 (19 enodes) 1537029901.783 * * [misc]simplify: iters left: 4 (25 enodes) 1537029901.791 * * [misc]simplify: iters left: 3 (26 enodes) 1537029901.800 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- (/ k 2))))) 1537029901.800 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- (/ k 2))))) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))))))) 1537029901.800 * * * * [misc]progress: [ 126 / 243 ] simplifiying candidate # 1537029901.800 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) 1537029901.801 * * [misc]simplify: iters left: 4 (5 enodes) 1537029901.803 * * [misc]simplify: iters left: 3 (7 enodes) 1537029901.806 * * [misc]simplify: iters left: 2 (9 enodes) 1537029901.808 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1537029901.808 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (sqrt (sqrt k)) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))))))) 1537029901.808 * * * * [misc]progress: [ 127 / 243 ] simplifiying candidate # 1537029901.808 * [enter]simplify: Simplifying (/ 1 (pow PI (- (/ k 2)))) 1537029901.809 * * [misc]simplify: iters left: 6 (8 enodes) 1537029901.812 * * [misc]simplify: iters left: 5 (12 enodes) 1537029901.816 * [exit]simplify: Simplified to (/ 1 (pow PI (- (/ k 2)))) 1537029901.816 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (/ 1 (pow PI (- (/ k 2)))) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* n 2) (- (/ k 2)))))))) 1537029901.816 * * * * [misc]progress: [ 128 / 243 ] simplifiying candidate # 1537029901.816 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537029901.818 * * [misc]simplify: iters left: 6 (13 enodes) 1537029901.824 * * [misc]simplify: iters left: 5 (23 enodes) 1537029901.832 * * [misc]simplify: iters left: 4 (29 enodes) 1537029901.841 * * [misc]simplify: iters left: 3 (30 enodes) 1537029901.859 * [exit]simplify: Simplified to (/ 1 (* (cbrt (pow (* (* 2 PI) n) (/ (- k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- k) 2))))) 1537029901.859 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (/ 1 (* (cbrt (pow (* (* 2 PI) n) (/ (- k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- k) 2))))) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))))) 1537029901.859 * * * * [misc]progress: [ 129 / 243 ] simplifiying candidate # 1537029901.860 * [enter]simplify: Simplifying (/ 1 (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) 1537029901.860 * * [misc]simplify: iters left: 6 (12 enodes) 1537029901.863 * * [misc]simplify: iters left: 5 (20 enodes) 1537029901.866 * * [misc]simplify: iters left: 4 (26 enodes) 1537029901.870 * * [misc]simplify: iters left: 3 (27 enodes) 1537029901.875 * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* 2 (* n PI)) (/ (- k) 2)))) 1537029901.875 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (/ 1 (sqrt (pow (* 2 (* n PI)) (/ (- k) 2)))) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))))))) 1537029901.875 * * * * [misc]progress: [ 130 / 243 ] simplifiying candidate # 1537029901.875 * [enter]simplify: Simplifying (/ 1 1) 1537029901.875 * * [misc]simplify: iters left: 2 (2 enodes) 1537029901.876 * * [misc]simplify: iters left: 1 (4 enodes) 1537029901.876 * [exit]simplify: Simplified to 1 1537029901.876 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ 1 (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))))) 1537029901.876 * * * * [misc]progress: [ 131 / 243 ] simplifiying candidate # 1537029901.876 * * * * [misc]progress: [ 132 / 243 ] simplifiying candidate # 1537029901.876 * [enter]simplify: Simplifying (sqrt k) 1537029901.876 * * [misc]simplify: iters left: 1 (2 enodes) 1537029901.877 * [exit]simplify: Simplified to (sqrt k) 1537029901.877 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (/ (sqrt (* (* 2 n) PI)) (/ 1 (pow (* PI (* n 2)) (- (/ k 2)))))))) 1537029901.877 * * * * [misc]progress: [ 133 / 243 ] simplifiying candidate # 1537029901.877 * [enter]simplify: Simplifying (/ (sqrt k) 1) 1537029901.877 * * [misc]simplify: iters left: 3 (4 enodes) 1537029901.878 * * [misc]simplify: iters left: 2 (6 enodes) 1537029901.880 * * [misc]simplify: iters left: 1 (8 enodes) 1537029901.881 * [exit]simplify: Simplified to (sqrt k) 1537029901.881 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2)))))) 1537029901.881 * * * * [misc]progress: [ 134 / 243 ] simplifiying candidate # 1537029901.882 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) 0)) 1537029901.882 * * [misc]simplify: iters left: 6 (10 enodes) 1537029901.887 * * [misc]simplify: iters left: 5 (15 enodes) 1537029901.892 * * [misc]simplify: iters left: 4 (22 enodes) 1537029901.900 * * [misc]simplify: iters left: 3 (26 enodes) 1537029901.906 * [exit]simplify: Simplified to (sqrt k) 1537029901.906 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2)))))) 1537029901.906 * * * * [misc]progress: [ 135 / 243 ] simplifiying candidate # 1537029901.907 * [enter]simplify: Simplifying (sqrt k) 1537029901.907 * * [misc]simplify: iters left: 1 (2 enodes) 1537029901.908 * [exit]simplify: Simplified to (sqrt k) 1537029901.908 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (- (/ k 2))))))) 1537029901.908 * * * * [misc]progress: [ 136 / 243 ] simplifiying candidate # 1537029901.908 * * * * [misc]progress: [ 137 / 243 ] simplifiying candidate # 1537029901.908 * * * * [misc]progress: [ 138 / 243 ] simplifiying candidate # 1537029901.908 * * * * [misc]progress: [ 139 / 243 ] simplifiying candidate # 1537029901.908 * [enter]simplify: Simplifying (- 1) 1537029901.908 * * [misc]simplify: iters left: 2 (2 enodes) 1537029901.910 * * [misc]simplify: iters left: 1 (5 enodes) 1537029901.911 * [exit]simplify: Simplified to -1 1537029901.911 * [misc]simplify: Simplified (2 2) to (λ (k n) (pow (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (* 2 n) PI))) -1)) 1537029901.911 * * * * [misc]progress: [ 140 / 243 ] simplifiying candidate # 1537029901.911 * * * * [misc]progress: [ 141 / 243 ] simplifiying candidate # 1537029901.911 * * * * [misc]progress: [ 142 / 243 ] simplifiying candidate # 1537029901.911 * * * * [misc]progress: [ 143 / 243 ] simplifiying candidate # 1537029901.911 * * * * [misc]progress: [ 144 / 243 ] simplifiying candidate # 1537029901.911 * * * * [misc]progress: [ 145 / 243 ] simplifiying candidate # 1537029901.911 * * * * [misc]progress: [ 146 / 243 ] simplifiying candidate # 1537029901.911 * * * * [misc]progress: [ 147 / 243 ] simplifiying candidate # 1537029901.912 * * * * [misc]progress: [ 148 / 243 ] simplifiying candidate # 1537029901.912 * * * * [misc]progress: [ 149 / 243 ] simplifiying candidate # 1537029901.912 * * * * [misc]progress: [ 150 / 243 ] simplifiying candidate # 1537029901.912 * * * * [misc]progress: [ 151 / 243 ] simplifiying candidate # 1537029901.912 * * * * [misc]progress: [ 152 / 243 ] simplifiying candidate # 1537029901.912 * * * * [misc]progress: [ 153 / 243 ] simplifiying candidate # 1537029901.912 * * * * [misc]progress: [ 154 / 243 ] simplifiying candidate # 1537029901.912 * * * * [misc]progress: [ 155 / 243 ] simplifiying candidate # 1537029901.912 * [enter]simplify: Simplifying (cbrt (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (* 2 n) PI)))) 1537029901.914 * * [misc]simplify: iters left: 6 (16 enodes) 1537029901.920 * * [misc]simplify: iters left: 5 (26 enodes) 1537029901.925 * * [misc]simplify: iters left: 4 (33 enodes) 1537029901.930 * * [misc]simplify: iters left: 3 (35 enodes) 1537029901.936 * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* PI (* n 2))))) 1537029901.936 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (* (cbrt (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (* 2 n) PI)))) (cbrt (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (* 2 n) PI)))))) (cbrt (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* PI (* n 2))))))) 1537029901.936 * * * * [misc]progress: [ 156 / 243 ] simplifiying candidate # 1537029901.936 * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (* 2 n) PI)))) 1537029901.937 * * [misc]simplify: iters left: 6 (16 enodes) 1537029901.941 * * [misc]simplify: iters left: 5 (26 enodes) 1537029901.948 * * [misc]simplify: iters left: 4 (33 enodes) 1537029901.952 * * [misc]simplify: iters left: 3 (35 enodes) 1537029901.959 * [exit]simplify: Simplified to (sqrt (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* PI (* n 2))))) 1537029901.959 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (* 2 n) PI))))) (sqrt (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* PI (* n 2))))))) 1537029901.959 * * * * [misc]progress: [ 157 / 243 ] simplifiying candidate # 1537029901.959 * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (sqrt (* (* 2 n) PI)))) 1537029901.960 * * [misc]simplify: iters left: 6 (17 enodes) 1537029901.964 * * [misc]simplify: iters left: 5 (24 enodes) 1537029901.972 * * [misc]simplify: iters left: 4 (28 enodes) 1537029901.980 * * [misc]simplify: iters left: 3 (29 enodes) 1537029901.990 * [exit]simplify: Simplified to (/ (cbrt (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))) (cbrt (sqrt (* 2 (* PI n))))) 1537029901.990 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))))) (/ (cbrt (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))) (cbrt (sqrt (* 2 (* PI n))))))) 1537029901.990 * * * * [misc]progress: [ 158 / 243 ] simplifiying candidate # 1537029901.990 * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt PI)) 1537029901.992 * * [misc]simplify: iters left: 6 (14 enodes) 1537029901.997 * * [misc]simplify: iters left: 5 (20 enodes) 1537029902.005 * * [misc]simplify: iters left: 4 (26 enodes) 1537029902.013 * * [misc]simplify: iters left: 3 (28 enodes) 1537029902.023 * [exit]simplify: Simplified to (/ (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- k) 2)))) (sqrt PI)) 1537029902.023 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) (sqrt (* 2 n)))) (/ (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- k) 2)))) (sqrt PI)))) 1537029902.023 * * * * [misc]progress: [ 159 / 243 ] simplifiying candidate # 1537029902.024 * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (* (* 2 n) PI)))) 1537029902.025 * * [misc]simplify: iters left: 6 (17 enodes) 1537029902.032 * * [misc]simplify: iters left: 5 (24 enodes) 1537029902.041 * * [misc]simplify: iters left: 4 (28 enodes) 1537029902.050 * * [misc]simplify: iters left: 3 (29 enodes) 1537029902.057 * [exit]simplify: Simplified to (/ (cbrt (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))) (sqrt (sqrt (* 2 (* PI n))))) 1537029902.057 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) (sqrt (sqrt (* (* 2 n) PI))))) (/ (cbrt (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))) (sqrt (sqrt (* 2 (* PI n))))))) 1537029902.057 * * * * [misc]progress: [ 160 / 243 ] simplifiying candidate # 1537029902.058 * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (* 2 n) PI))) 1537029902.059 * * [misc]simplify: iters left: 6 (16 enodes) 1537029902.062 * * [misc]simplify: iters left: 5 (23 enodes) 1537029902.066 * * [misc]simplify: iters left: 4 (27 enodes) 1537029902.070 * * [misc]simplify: iters left: 3 (28 enodes) 1537029902.079 * [exit]simplify: Simplified to (/ (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2))))) (sqrt (* n (* 2 PI)))) 1537029902.079 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1)) (/ (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2))))) (sqrt (* n (* 2 PI)))))) 1537029902.079 * * * * [misc]progress: [ 161 / 243 ] simplifiying candidate # 1537029902.079 * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (sqrt (* (* 2 n) PI)))) 1537029902.081 * * [misc]simplify: iters left: 6 (17 enodes) 1537029902.088 * * [misc]simplify: iters left: 5 (24 enodes) 1537029902.096 * * [misc]simplify: iters left: 4 (28 enodes) 1537029902.105 * * [misc]simplify: iters left: 3 (29 enodes) 1537029902.116 * [exit]simplify: Simplified to (/ (sqrt (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))) (cbrt (sqrt (* 2 (* PI n))))) 1537029902.116 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))))) (/ (sqrt (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))) (cbrt (sqrt (* 2 (* PI n))))))) 1537029902.116 * * * * [misc]progress: [ 162 / 243 ] simplifiying candidate # 1537029902.116 * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt PI)) 1537029902.117 * * [misc]simplify: iters left: 6 (14 enodes) 1537029902.123 * * [misc]simplify: iters left: 5 (20 enodes) 1537029902.130 * * [misc]simplify: iters left: 4 (26 enodes) 1537029902.139 * * [misc]simplify: iters left: 3 (28 enodes) 1537029902.146 * [exit]simplify: Simplified to (/ (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- k) 2)))) (sqrt PI)) 1537029902.146 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* 2 n)))) (/ (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- k) 2)))) (sqrt PI)))) 1537029902.146 * * * * [misc]progress: [ 163 / 243 ] simplifiying candidate # 1537029902.146 * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (* (* 2 n) PI)))) 1537029902.148 * * [misc]simplify: iters left: 6 (17 enodes) 1537029902.151 * * [misc]simplify: iters left: 5 (24 enodes) 1537029902.156 * * [misc]simplify: iters left: 4 (28 enodes) 1537029902.161 * * [misc]simplify: iters left: 3 (29 enodes) 1537029902.166 * [exit]simplify: Simplified to (/ (sqrt (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))) (sqrt (sqrt (* 2 (* PI n))))) 1537029902.166 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (* (* 2 n) PI))))) (/ (sqrt (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))) (sqrt (sqrt (* 2 (* PI n))))))) 1537029902.166 * * * * [misc]progress: [ 164 / 243 ] simplifiying candidate # 1537029902.166 * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (* 2 n) PI))) 1537029902.167 * * [misc]simplify: iters left: 6 (16 enodes) 1537029902.171 * * [misc]simplify: iters left: 5 (23 enodes) 1537029902.177 * * [misc]simplify: iters left: 4 (27 enodes) 1537029902.181 * * [misc]simplify: iters left: 3 (28 enodes) 1537029902.186 * [exit]simplify: Simplified to (/ (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2))))) (sqrt (* n (* 2 PI)))) 1537029902.186 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) 1)) (/ (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2))))) (sqrt (* n (* 2 PI)))))) 1537029902.186 * * * * [misc]progress: [ 165 / 243 ] simplifiying candidate # 1537029902.186 * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (cbrt (sqrt (* (* 2 n) PI)))) 1537029902.187 * * [misc]simplify: iters left: 6 (16 enodes) 1537029902.190 * * [misc]simplify: iters left: 5 (23 enodes) 1537029902.195 * * [misc]simplify: iters left: 4 (32 enodes) 1537029902.200 * * [misc]simplify: iters left: 3 (33 enodes) 1537029902.206 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (cbrt (sqrt (* n (* PI 2))))) 1537029902.206 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- (/ k 2)))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))))) (/ (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (cbrt (sqrt (* n (* PI 2))))))) 1537029902.206 * * * * [misc]progress: [ 166 / 243 ] simplifiying candidate # 1537029902.206 * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt PI)) 1537029902.207 * * [misc]simplify: iters left: 6 (13 enodes) 1537029902.211 * * [misc]simplify: iters left: 5 (18 enodes) 1537029902.217 * * [misc]simplify: iters left: 4 (21 enodes) 1537029902.225 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt k)) (sqrt PI)) (pow (* n 2) (- (/ k 2)))) 1537029902.225 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- (/ k 2)))) (sqrt (* 2 n)))) (/ (/ (cbrt (sqrt k)) (sqrt PI)) (pow (* n 2) (- (/ k 2)))))) 1537029902.225 * * * * [misc]progress: [ 167 / 243 ] simplifiying candidate # 1537029902.225 * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI)))) 1537029902.227 * * [misc]simplify: iters left: 6 (16 enodes) 1537029902.235 * * [misc]simplify: iters left: 5 (23 enodes) 1537029902.239 * * [misc]simplify: iters left: 4 (32 enodes) 1537029902.244 * * [misc]simplify: iters left: 3 (33 enodes) 1537029902.251 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (sqrt (* n (* PI 2))))) 1537029902.251 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI))))) (/ (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (sqrt (* n (* PI 2))))))) 1537029902.251 * * * * [misc]progress: [ 168 / 243 ] simplifiying candidate # 1537029902.251 * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (* (* 2 n) PI))) 1537029902.252 * * [misc]simplify: iters left: 6 (15 enodes) 1537029902.255 * * [misc]simplify: iters left: 5 (22 enodes) 1537029902.259 * * [misc]simplify: iters left: 4 (31 enodes) 1537029902.264 * * [misc]simplify: iters left: 3 (32 enodes) 1537029902.270 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (* 2 (* n PI)))) 1537029902.270 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- (/ k 2)))) 1)) (/ (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (* 2 (* n PI)))))) 1537029902.270 * * * * [misc]progress: [ 169 / 243 ] simplifiying candidate # 1537029902.270 * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (sqrt (* (* 2 n) PI)))) 1537029902.272 * * [misc]simplify: iters left: 6 (18 enodes) 1537029902.275 * * [misc]simplify: iters left: 5 (27 enodes) 1537029902.285 * * [misc]simplify: iters left: 4 (34 enodes) 1537029902.295 * * [misc]simplify: iters left: 3 (35 enodes) 1537029902.309 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* PI 2) n)))) (cbrt (pow (* (* PI 2) n) (/ (- k) 2)))) 1537029902.309 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))))) (/ (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* PI 2) n)))) (cbrt (pow (* (* PI 2) n) (/ (- k) 2)))))) 1537029902.309 * * * * [misc]progress: [ 170 / 243 ] simplifiying candidate # 1537029902.309 * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt PI)) 1537029902.311 * * [misc]simplify: iters left: 6 (15 enodes) 1537029902.319 * * [misc]simplify: iters left: 5 (23 enodes) 1537029902.328 * * [misc]simplify: iters left: 4 (32 enodes) 1537029902.334 * * [misc]simplify: iters left: 3 (33 enodes) 1537029902.340 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt k)) (sqrt PI)) (cbrt (pow (* (* PI 2) n) (/ (- k) 2)))) 1537029902.340 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) (sqrt (* 2 n)))) (/ (/ (cbrt (sqrt k)) (sqrt PI)) (cbrt (pow (* (* PI 2) n) (/ (- k) 2)))))) 1537029902.340 * * * * [misc]progress: [ 171 / 243 ] simplifiying candidate # 1537029902.340 * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (* (* 2 n) PI)))) 1537029902.341 * * [misc]simplify: iters left: 6 (18 enodes) 1537029902.345 * * [misc]simplify: iters left: 5 (27 enodes) 1537029902.350 * * [misc]simplify: iters left: 4 (34 enodes) 1537029902.356 * * [misc]simplify: iters left: 3 (35 enodes) 1537029902.362 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt k)) (sqrt (sqrt (* (* PI 2) n)))) (cbrt (pow (* (* PI 2) n) (/ (- k) 2)))) 1537029902.362 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) (sqrt (sqrt (* (* 2 n) PI))))) (/ (/ (cbrt (sqrt k)) (sqrt (sqrt (* (* PI 2) n)))) (cbrt (pow (* (* PI 2) n) (/ (- k) 2)))))) 1537029902.362 * * * * [misc]progress: [ 172 / 243 ] simplifiying candidate # 1537029902.363 * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (* 2 n) PI))) 1537029902.364 * * [misc]simplify: iters left: 6 (17 enodes) 1537029902.367 * * [misc]simplify: iters left: 5 (26 enodes) 1537029902.372 * * [misc]simplify: iters left: 4 (33 enodes) 1537029902.377 * * [misc]simplify: iters left: 3 (35 enodes) 1537029902.383 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt k)) (sqrt (* n (* PI 2)))) (cbrt (pow (* n (* PI 2)) (/ (- k) 2)))) 1537029902.383 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1)) (/ (/ (cbrt (sqrt k)) (sqrt (* n (* PI 2)))) (cbrt (pow (* n (* PI 2)) (/ (- k) 2)))))) 1537029902.383 * * * * [misc]progress: [ 173 / 243 ] simplifiying candidate # 1537029902.383 * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (sqrt (* (* 2 n) PI)))) 1537029902.384 * * [misc]simplify: iters left: 6 (18 enodes) 1537029902.390 * * [misc]simplify: iters left: 5 (27 enodes) 1537029902.394 * * [misc]simplify: iters left: 4 (34 enodes) 1537029902.404 * * [misc]simplify: iters left: 3 (35 enodes) 1537029902.418 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* PI 2) n)))) (sqrt (pow (* (* PI 2) n) (/ (- k) 2)))) 1537029902.418 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))))) (/ (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* PI 2) n)))) (sqrt (pow (* (* PI 2) n) (/ (- k) 2)))))) 1537029902.418 * * * * [misc]progress: [ 174 / 243 ] simplifiying candidate # 1537029902.418 * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt PI)) 1537029902.420 * * [misc]simplify: iters left: 6 (15 enodes) 1537029902.426 * * [misc]simplify: iters left: 5 (23 enodes) 1537029902.435 * * [misc]simplify: iters left: 4 (32 enodes) 1537029902.445 * * [misc]simplify: iters left: 3 (33 enodes) 1537029902.457 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt k)) (sqrt PI)) (sqrt (pow (* (* PI 2) n) (/ (- k) 2)))) 1537029902.457 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* 2 n)))) (/ (/ (cbrt (sqrt k)) (sqrt PI)) (sqrt (pow (* (* PI 2) n) (/ (- k) 2)))))) 1537029902.457 * * * * [misc]progress: [ 175 / 243 ] simplifiying candidate # 1537029902.457 * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (* (* 2 n) PI)))) 1537029902.460 * * [misc]simplify: iters left: 6 (18 enodes) 1537029902.467 * * [misc]simplify: iters left: 5 (27 enodes) 1537029902.476 * * [misc]simplify: iters left: 4 (34 enodes) 1537029902.487 * * [misc]simplify: iters left: 3 (35 enodes) 1537029902.500 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt k)) (sqrt (sqrt (* (* PI 2) n)))) (sqrt (pow (* (* PI 2) n) (/ (- k) 2)))) 1537029902.500 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (* (* 2 n) PI))))) (/ (/ (cbrt (sqrt k)) (sqrt (sqrt (* (* PI 2) n)))) (sqrt (pow (* (* PI 2) n) (/ (- k) 2)))))) 1537029902.500 * * * * [misc]progress: [ 176 / 243 ] simplifiying candidate # 1537029902.501 * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (* 2 n) PI))) 1537029902.503 * * [misc]simplify: iters left: 6 (17 enodes) 1537029902.512 * * [misc]simplify: iters left: 5 (26 enodes) 1537029902.520 * * [misc]simplify: iters left: 4 (33 enodes) 1537029902.525 * * [misc]simplify: iters left: 3 (35 enodes) 1537029902.532 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt k)) (sqrt (* n (* PI 2)))) (sqrt (pow (* n (* PI 2)) (/ (- k) 2)))) 1537029902.532 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) 1)) (/ (/ (cbrt (sqrt k)) (sqrt (* n (* PI 2)))) (sqrt (pow (* n (* PI 2)) (/ (- k) 2)))))) 1537029902.532 * * * * [misc]progress: [ 177 / 243 ] simplifiying candidate # 1537029902.532 * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (* (* 2 n) PI)))) 1537029902.533 * * [misc]simplify: iters left: 6 (17 enodes) 1537029902.537 * * [misc]simplify: iters left: 5 (26 enodes) 1537029902.541 * * [misc]simplify: iters left: 4 (33 enodes) 1537029902.546 * * [misc]simplify: iters left: 3 (35 enodes) 1537029902.553 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt k)) (pow (* n (* PI 2)) (/ (- k) 2))) (cbrt (sqrt (* n (* PI 2))))) 1537029902.553 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))))) (/ (/ (cbrt (sqrt k)) (pow (* n (* PI 2)) (/ (- k) 2))) (cbrt (sqrt (* n (* PI 2))))))) 1537029902.553 * * * * [misc]progress: [ 178 / 243 ] simplifiying candidate # 1537029902.553 * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt PI)) 1537029902.554 * * [misc]simplify: iters left: 6 (14 enodes) 1537029902.557 * * [misc]simplify: iters left: 5 (22 enodes) 1537029902.561 * * [misc]simplify: iters left: 4 (31 enodes) 1537029902.566 * * [misc]simplify: iters left: 3 (32 enodes) 1537029902.576 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt k)) (sqrt PI)) (pow (* n (* PI 2)) (- (/ k 2)))) 1537029902.576 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) (sqrt (* 2 n)))) (/ (/ (cbrt (sqrt k)) (sqrt PI)) (pow (* n (* PI 2)) (- (/ k 2)))))) 1537029902.576 * * * * [misc]progress: [ 179 / 243 ] simplifiying candidate # 1537029902.576 * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI)))) 1537029902.578 * * [misc]simplify: iters left: 6 (17 enodes) 1537029902.585 * * [misc]simplify: iters left: 5 (26 enodes) 1537029902.591 * * [misc]simplify: iters left: 4 (33 enodes) 1537029902.596 * * [misc]simplify: iters left: 3 (35 enodes) 1537029902.602 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt k)) (pow (* n (* PI 2)) (/ (- k) 2))) (sqrt (sqrt (* n (* PI 2))))) 1537029902.602 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) (sqrt (sqrt (* (* 2 n) PI))))) (/ (/ (cbrt (sqrt k)) (pow (* n (* PI 2)) (/ (- k) 2))) (sqrt (sqrt (* n (* PI 2))))))) 1537029902.602 * * * * [misc]progress: [ 180 / 243 ] simplifiying candidate # 1537029902.602 * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (* 2 n) PI))) 1537029902.603 * * [misc]simplify: iters left: 6 (16 enodes) 1537029902.607 * * [misc]simplify: iters left: 5 (25 enodes) 1537029902.612 * * [misc]simplify: iters left: 4 (32 enodes) 1537029902.617 * * [misc]simplify: iters left: 3 (33 enodes) 1537029902.623 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2))) (sqrt (* (* PI 2) n))) 1537029902.623 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1)) (/ (/ (cbrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2))) (sqrt (* (* PI 2) n))))) 1537029902.623 * * * * [misc]progress: [ 181 / 243 ] simplifiying candidate # 1537029902.623 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (cbrt (sqrt (* (* 2 n) PI)))) 1537029902.624 * * [misc]simplify: iters left: 6 (16 enodes) 1537029902.631 * * [misc]simplify: iters left: 5 (23 enodes) 1537029902.640 * * [misc]simplify: iters left: 4 (32 enodes) 1537029902.649 * * [misc]simplify: iters left: 3 (33 enodes) 1537029902.661 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (cbrt (sqrt (* n (* PI 2))))) 1537029902.662 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))))) (/ (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (cbrt (sqrt (* n (* PI 2))))))) 1537029902.662 * * * * [misc]progress: [ 182 / 243 ] simplifiying candidate # 1537029902.662 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt PI)) 1537029902.664 * * [misc]simplify: iters left: 6 (13 enodes) 1537029902.669 * * [misc]simplify: iters left: 5 (18 enodes) 1537029902.674 * * [misc]simplify: iters left: 4 (21 enodes) 1537029902.684 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (sqrt PI)) (pow (* n 2) (- (/ k 2)))) 1537029902.685 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))) (sqrt (* 2 n)))) (/ (/ (sqrt (sqrt k)) (sqrt PI)) (pow (* n 2) (- (/ k 2)))))) 1537029902.685 * * * * [misc]progress: [ 183 / 243 ] simplifiying candidate # 1537029902.685 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI)))) 1537029902.687 * * [misc]simplify: iters left: 6 (16 enodes) 1537029902.690 * * [misc]simplify: iters left: 5 (23 enodes) 1537029902.694 * * [misc]simplify: iters left: 4 (32 enodes) 1537029902.699 * * [misc]simplify: iters left: 3 (33 enodes) 1537029902.705 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (sqrt (* n (* PI 2))))) 1537029902.706 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI))))) (/ (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (sqrt (* n (* PI 2))))))) 1537029902.706 * * * * [misc]progress: [ 184 / 243 ] simplifiying candidate # 1537029902.706 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (* (* 2 n) PI))) 1537029902.707 * * [misc]simplify: iters left: 6 (15 enodes) 1537029902.711 * * [misc]simplify: iters left: 5 (22 enodes) 1537029902.716 * * [misc]simplify: iters left: 4 (31 enodes) 1537029902.721 * * [misc]simplify: iters left: 3 (32 enodes) 1537029902.727 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (* 2 (* n PI)))) 1537029902.727 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))) 1)) (/ (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (* 2 (* n PI)))))) 1537029902.727 * * * * [misc]progress: [ 185 / 243 ] simplifiying candidate # 1537029902.727 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (sqrt (* (* 2 n) PI)))) 1537029902.728 * * [misc]simplify: iters left: 6 (18 enodes) 1537029902.732 * * [misc]simplify: iters left: 5 (27 enodes) 1537029902.737 * * [misc]simplify: iters left: 4 (34 enodes) 1537029902.742 * * [misc]simplify: iters left: 3 (35 enodes) 1537029902.749 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (cbrt (sqrt (* (* PI 2) n)))) (cbrt (pow (* (* PI 2) n) (/ (- k) 2)))) 1537029902.749 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))))) (/ (/ (sqrt (sqrt k)) (cbrt (sqrt (* (* PI 2) n)))) (cbrt (pow (* (* PI 2) n) (/ (- k) 2)))))) 1537029902.749 * * * * [misc]progress: [ 186 / 243 ] simplifiying candidate # 1537029902.749 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt PI)) 1537029902.752 * * [misc]simplify: iters left: 6 (15 enodes) 1537029902.758 * * [misc]simplify: iters left: 5 (23 enodes) 1537029902.768 * * [misc]simplify: iters left: 4 (32 enodes) 1537029902.778 * * [misc]simplify: iters left: 3 (33 enodes) 1537029902.787 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (sqrt PI)) (cbrt (pow (* (* PI 2) n) (/ (- k) 2)))) 1537029902.787 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) (sqrt (* 2 n)))) (/ (/ (sqrt (sqrt k)) (sqrt PI)) (cbrt (pow (* (* PI 2) n) (/ (- k) 2)))))) 1537029902.787 * * * * [misc]progress: [ 187 / 243 ] simplifiying candidate # 1537029902.787 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (* (* 2 n) PI)))) 1537029902.788 * * [misc]simplify: iters left: 6 (18 enodes) 1537029902.792 * * [misc]simplify: iters left: 5 (27 enodes) 1537029902.797 * * [misc]simplify: iters left: 4 (34 enodes) 1537029902.802 * * [misc]simplify: iters left: 3 (35 enodes) 1537029902.809 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (sqrt (sqrt (* (* PI 2) n)))) (cbrt (pow (* (* PI 2) n) (/ (- k) 2)))) 1537029902.809 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) (sqrt (sqrt (* (* 2 n) PI))))) (/ (/ (sqrt (sqrt k)) (sqrt (sqrt (* (* PI 2) n)))) (cbrt (pow (* (* PI 2) n) (/ (- k) 2)))))) 1537029902.809 * * * * [misc]progress: [ 188 / 243 ] simplifiying candidate # 1537029902.809 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (* 2 n) PI))) 1537029902.810 * * [misc]simplify: iters left: 6 (17 enodes) 1537029902.814 * * [misc]simplify: iters left: 5 (26 enodes) 1537029902.819 * * [misc]simplify: iters left: 4 (33 enodes) 1537029902.824 * * [misc]simplify: iters left: 3 (35 enodes) 1537029902.830 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (sqrt (* n (* PI 2)))) (cbrt (pow (* n (* PI 2)) (/ (- k) 2)))) 1537029902.830 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1)) (/ (/ (sqrt (sqrt k)) (sqrt (* n (* PI 2)))) (cbrt (pow (* n (* PI 2)) (/ (- k) 2)))))) 1537029902.830 * * * * [misc]progress: [ 189 / 243 ] simplifiying candidate # 1537029902.831 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (sqrt (* (* 2 n) PI)))) 1537029902.833 * * [misc]simplify: iters left: 6 (18 enodes) 1537029902.837 * * [misc]simplify: iters left: 5 (27 enodes) 1537029902.844 * * [misc]simplify: iters left: 4 (34 enodes) 1537029902.855 * * [misc]simplify: iters left: 3 (35 enodes) 1537029902.868 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (cbrt (sqrt (* (* PI 2) n)))) (sqrt (pow (* (* PI 2) n) (/ (- k) 2)))) 1537029902.869 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))))) (/ (/ (sqrt (sqrt k)) (cbrt (sqrt (* (* PI 2) n)))) (sqrt (pow (* (* PI 2) n) (/ (- k) 2)))))) 1537029902.869 * * * * [misc]progress: [ 190 / 243 ] simplifiying candidate # 1537029902.869 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt PI)) 1537029902.871 * * [misc]simplify: iters left: 6 (15 enodes) 1537029902.877 * * [misc]simplify: iters left: 5 (23 enodes) 1537029902.886 * * [misc]simplify: iters left: 4 (32 enodes) 1537029902.893 * * [misc]simplify: iters left: 3 (33 enodes) 1537029902.899 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (sqrt PI)) (sqrt (pow (* (* PI 2) n) (/ (- k) 2)))) 1537029902.899 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* 2 n)))) (/ (/ (sqrt (sqrt k)) (sqrt PI)) (sqrt (pow (* (* PI 2) n) (/ (- k) 2)))))) 1537029902.899 * * * * [misc]progress: [ 191 / 243 ] simplifiying candidate # 1537029902.900 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (* (* 2 n) PI)))) 1537029902.901 * * [misc]simplify: iters left: 6 (18 enodes) 1537029902.905 * * [misc]simplify: iters left: 5 (27 enodes) 1537029902.909 * * [misc]simplify: iters left: 4 (34 enodes) 1537029902.914 * * [misc]simplify: iters left: 3 (35 enodes) 1537029902.922 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (sqrt (sqrt (* (* PI 2) n)))) (sqrt (pow (* (* PI 2) n) (/ (- k) 2)))) 1537029902.923 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (* (* 2 n) PI))))) (/ (/ (sqrt (sqrt k)) (sqrt (sqrt (* (* PI 2) n)))) (sqrt (pow (* (* PI 2) n) (/ (- k) 2)))))) 1537029902.923 * * * * [misc]progress: [ 192 / 243 ] simplifiying candidate # 1537029902.923 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (* 2 n) PI))) 1537029902.924 * * [misc]simplify: iters left: 6 (17 enodes) 1537029902.928 * * [misc]simplify: iters left: 5 (26 enodes) 1537029902.933 * * [misc]simplify: iters left: 4 (33 enodes) 1537029902.938 * * [misc]simplify: iters left: 3 (35 enodes) 1537029902.944 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (sqrt (* n (* PI 2)))) (sqrt (pow (* n (* PI 2)) (/ (- k) 2)))) 1537029902.944 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) 1)) (/ (/ (sqrt (sqrt k)) (sqrt (* n (* PI 2)))) (sqrt (pow (* n (* PI 2)) (/ (- k) 2)))))) 1537029902.944 * * * * [misc]progress: [ 193 / 243 ] simplifiying candidate # 1537029902.944 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (* (* 2 n) PI)))) 1537029902.946 * * [misc]simplify: iters left: 6 (17 enodes) 1537029902.949 * * [misc]simplify: iters left: 5 (26 enodes) 1537029902.954 * * [misc]simplify: iters left: 4 (33 enodes) 1537029902.959 * * [misc]simplify: iters left: 3 (35 enodes) 1537029902.965 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (pow (* n (* PI 2)) (/ (- k) 2))) (cbrt (sqrt (* n (* PI 2))))) 1537029902.965 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (sqrt (sqrt k)) 1) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))))) (/ (/ (sqrt (sqrt k)) (pow (* n (* PI 2)) (/ (- k) 2))) (cbrt (sqrt (* n (* PI 2))))))) 1537029902.965 * * * * [misc]progress: [ 194 / 243 ] simplifiying candidate # 1537029902.965 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt PI)) 1537029902.966 * * [misc]simplify: iters left: 6 (14 enodes) 1537029902.969 * * [misc]simplify: iters left: 5 (22 enodes) 1537029902.973 * * [misc]simplify: iters left: 4 (31 enodes) 1537029902.981 * * [misc]simplify: iters left: 3 (32 enodes) 1537029902.993 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (sqrt PI)) (pow (* n (* PI 2)) (- (/ k 2)))) 1537029902.993 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (sqrt (sqrt k)) 1) (sqrt (* 2 n)))) (/ (/ (sqrt (sqrt k)) (sqrt PI)) (pow (* n (* PI 2)) (- (/ k 2)))))) 1537029902.993 * * * * [misc]progress: [ 195 / 243 ] simplifiying candidate # 1537029902.993 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI)))) 1537029902.997 * * [misc]simplify: iters left: 6 (17 enodes) 1537029903.004 * * [misc]simplify: iters left: 5 (26 enodes) 1537029903.013 * * [misc]simplify: iters left: 4 (33 enodes) 1537029903.021 * * [misc]simplify: iters left: 3 (35 enodes) 1537029903.027 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (pow (* n (* PI 2)) (/ (- k) 2))) (sqrt (sqrt (* n (* PI 2))))) 1537029903.027 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (sqrt (sqrt k)) 1) (sqrt (sqrt (* (* 2 n) PI))))) (/ (/ (sqrt (sqrt k)) (pow (* n (* PI 2)) (/ (- k) 2))) (sqrt (sqrt (* n (* PI 2))))))) 1537029903.027 * * * * [misc]progress: [ 196 / 243 ] simplifiying candidate # 1537029903.028 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (* 2 n) PI))) 1537029903.029 * * [misc]simplify: iters left: 6 (16 enodes) 1537029903.032 * * [misc]simplify: iters left: 5 (25 enodes) 1537029903.037 * * [misc]simplify: iters left: 4 (32 enodes) 1537029903.042 * * [misc]simplify: iters left: 3 (33 enodes) 1537029903.048 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2))) (sqrt (* (* PI 2) n))) 1537029903.048 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (sqrt (sqrt k)) 1) 1)) (/ (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2))) (sqrt (* (* PI 2) n))))) 1537029903.048 * * * * [misc]progress: [ 197 / 243 ] simplifiying candidate # 1537029903.048 * [enter]simplify: Simplifying (/ (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) (cbrt (sqrt (* (* 2 n) PI)))) 1537029903.049 * * [misc]simplify: iters left: 6 (15 enodes) 1537029903.052 * * [misc]simplify: iters left: 5 (22 enodes) 1537029903.056 * * [misc]simplify: iters left: 4 (31 enodes) 1537029903.061 * * [misc]simplify: iters left: 3 (32 enodes) 1537029903.066 * [exit]simplify: Simplified to (/ (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) (cbrt (sqrt (* (* PI 2) n)))) 1537029903.066 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ 1 (pow PI (- (/ k 2)))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))))) (/ (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) (cbrt (sqrt (* (* PI 2) n)))))) 1537029903.066 * * * * [misc]progress: [ 198 / 243 ] simplifiying candidate # 1537029903.067 * [enter]simplify: Simplifying (/ (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) (sqrt PI)) 1537029903.067 * * [misc]simplify: iters left: 6 (12 enodes) 1537029903.071 * * [misc]simplify: iters left: 5 (17 enodes) 1537029903.074 * * [misc]simplify: iters left: 4 (20 enodes) 1537029903.078 * [exit]simplify: Simplified to (/ (/ (sqrt k) (sqrt PI)) (pow (* n 2) (/ (- k) 2))) 1537029903.078 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ 1 (pow PI (- (/ k 2)))) (sqrt (* 2 n)))) (/ (/ (sqrt k) (sqrt PI)) (pow (* n 2) (/ (- k) 2))))) 1537029903.078 * * * * [misc]progress: [ 199 / 243 ] simplifiying candidate # 1537029903.078 * [enter]simplify: Simplifying (/ (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI)))) 1537029903.079 * * [misc]simplify: iters left: 6 (15 enodes) 1537029903.082 * * [misc]simplify: iters left: 5 (22 enodes) 1537029903.086 * * [misc]simplify: iters left: 4 (31 enodes) 1537029903.091 * * [misc]simplify: iters left: 3 (32 enodes) 1537029903.098 * [exit]simplify: Simplified to (/ (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) (sqrt (sqrt (* (* PI 2) n)))) 1537029903.098 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ 1 (pow PI (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI))))) (/ (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) (sqrt (sqrt (* (* PI 2) n)))))) 1537029903.098 * * * * [misc]progress: [ 200 / 243 ] simplifiying candidate # 1537029903.098 * [enter]simplify: Simplifying (/ (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) (sqrt (* (* 2 n) PI))) 1537029903.099 * * [misc]simplify: iters left: 6 (14 enodes) 1537029903.102 * * [misc]simplify: iters left: 5 (21 enodes) 1537029903.106 * * [misc]simplify: iters left: 4 (30 enodes) 1537029903.110 * * [misc]simplify: iters left: 3 (31 enodes) 1537029903.116 * [exit]simplify: Simplified to (/ (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) (sqrt (* 2 (* n PI)))) 1537029903.116 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ 1 (pow PI (- (/ k 2)))) 1)) (/ (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) (sqrt (* 2 (* n PI)))))) 1537029903.116 * * * * [misc]progress: [ 201 / 243 ] simplifiying candidate # 1537029903.117 * [enter]simplify: Simplifying (/ (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (sqrt (* (* 2 n) PI)))) 1537029903.118 * * [misc]simplify: iters left: 6 (17 enodes) 1537029903.122 * * [misc]simplify: iters left: 5 (26 enodes) 1537029903.126 * * [misc]simplify: iters left: 4 (33 enodes) 1537029903.131 * * [misc]simplify: iters left: 3 (34 enodes) 1537029903.141 * [exit]simplify: Simplified to (/ (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- (/ k 2))))) (cbrt (sqrt (* 2 (* PI n))))) 1537029903.142 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ 1 (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))))) (/ (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- (/ k 2))))) (cbrt (sqrt (* 2 (* PI n))))))) 1537029903.142 * * * * [misc]progress: [ 202 / 243 ] simplifiying candidate # 1537029903.142 * [enter]simplify: Simplifying (/ (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt PI)) 1537029903.143 * * [misc]simplify: iters left: 6 (14 enodes) 1537029903.149 * * [misc]simplify: iters left: 5 (22 enodes) 1537029903.158 * * [misc]simplify: iters left: 4 (31 enodes) 1537029903.166 * * [misc]simplify: iters left: 3 (33 enodes) 1537029903.172 * [exit]simplify: Simplified to (/ (/ (sqrt k) (sqrt PI)) (cbrt (pow (* PI (* n 2)) (/ (- k) 2)))) 1537029903.172 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ 1 (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) (sqrt (* 2 n)))) (/ (/ (sqrt k) (sqrt PI)) (cbrt (pow (* PI (* n 2)) (/ (- k) 2)))))) 1537029903.172 * * * * [misc]progress: [ 203 / 243 ] simplifiying candidate # 1537029903.172 * [enter]simplify: Simplifying (/ (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (* (* 2 n) PI)))) 1537029903.173 * * [misc]simplify: iters left: 6 (17 enodes) 1537029903.177 * * [misc]simplify: iters left: 5 (26 enodes) 1537029903.182 * * [misc]simplify: iters left: 4 (33 enodes) 1537029903.187 * * [misc]simplify: iters left: 3 (34 enodes) 1537029903.194 * [exit]simplify: Simplified to (/ (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- (/ k 2))))) (sqrt (sqrt (* 2 (* PI n))))) 1537029903.194 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ 1 (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) (sqrt (sqrt (* (* 2 n) PI))))) (/ (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- (/ k 2))))) (sqrt (sqrt (* 2 (* PI n))))))) 1537029903.194 * * * * [misc]progress: [ 204 / 243 ] simplifiying candidate # 1537029903.194 * [enter]simplify: Simplifying (/ (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (* 2 n) PI))) 1537029903.195 * * [misc]simplify: iters left: 6 (16 enodes) 1537029903.199 * * [misc]simplify: iters left: 5 (25 enodes) 1537029903.203 * * [misc]simplify: iters left: 4 (32 enodes) 1537029903.208 * * [misc]simplify: iters left: 3 (33 enodes) 1537029903.213 * [exit]simplify: Simplified to (/ (/ (sqrt k) (sqrt (* n (* 2 PI)))) (cbrt (pow (* n (* 2 PI)) (- (/ k 2))))) 1537029903.214 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ 1 (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1)) (/ (/ (sqrt k) (sqrt (* n (* 2 PI)))) (cbrt (pow (* n (* 2 PI)) (- (/ k 2))))))) 1537029903.214 * * * * [misc]progress: [ 205 / 243 ] simplifiying candidate # 1537029903.214 * [enter]simplify: Simplifying (/ (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (sqrt (* (* 2 n) PI)))) 1537029903.216 * * [misc]simplify: iters left: 6 (17 enodes) 1537029903.220 * * [misc]simplify: iters left: 5 (26 enodes) 1537029903.225 * * [misc]simplify: iters left: 4 (33 enodes) 1537029903.230 * * [misc]simplify: iters left: 3 (34 enodes) 1537029903.240 * [exit]simplify: Simplified to (/ (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- (/ k 2))))) (cbrt (sqrt (* 2 (* PI n))))) 1537029903.240 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ 1 (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))))) (/ (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- (/ k 2))))) (cbrt (sqrt (* 2 (* PI n))))))) 1537029903.240 * * * * [misc]progress: [ 206 / 243 ] simplifiying candidate # 1537029903.241 * [enter]simplify: Simplifying (/ (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt PI)) 1537029903.242 * * [misc]simplify: iters left: 6 (14 enodes) 1537029903.248 * * [misc]simplify: iters left: 5 (22 enodes) 1537029903.256 * * [misc]simplify: iters left: 4 (31 enodes) 1537029903.265 * * [misc]simplify: iters left: 3 (33 enodes) 1537029903.277 * [exit]simplify: Simplified to (/ (/ (sqrt k) (sqrt PI)) (sqrt (pow (* PI (* n 2)) (/ (- k) 2)))) 1537029903.277 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ 1 (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* 2 n)))) (/ (/ (sqrt k) (sqrt PI)) (sqrt (pow (* PI (* n 2)) (/ (- k) 2)))))) 1537029903.277 * * * * [misc]progress: [ 207 / 243 ] simplifiying candidate # 1537029903.277 * [enter]simplify: Simplifying (/ (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (* (* 2 n) PI)))) 1537029903.279 * * [misc]simplify: iters left: 6 (17 enodes) 1537029903.286 * * [misc]simplify: iters left: 5 (26 enodes) 1537029903.294 * * [misc]simplify: iters left: 4 (33 enodes) 1537029903.304 * * [misc]simplify: iters left: 3 (34 enodes) 1537029903.316 * [exit]simplify: Simplified to (/ (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- (/ k 2))))) (sqrt (sqrt (* 2 (* PI n))))) 1537029903.316 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ 1 (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (* (* 2 n) PI))))) (/ (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- (/ k 2))))) (sqrt (sqrt (* 2 (* PI n))))))) 1537029903.316 * * * * [misc]progress: [ 208 / 243 ] simplifiying candidate # 1537029903.317 * [enter]simplify: Simplifying (/ (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (* 2 n) PI))) 1537029903.320 * * [misc]simplify: iters left: 6 (16 enodes) 1537029903.327 * * [misc]simplify: iters left: 5 (25 enodes) 1537029903.336 * * [misc]simplify: iters left: 4 (32 enodes) 1537029903.345 * * [misc]simplify: iters left: 3 (33 enodes) 1537029903.356 * [exit]simplify: Simplified to (/ (/ (sqrt k) (sqrt (* n (* 2 PI)))) (sqrt (pow (* n (* 2 PI)) (- (/ k 2))))) 1537029903.356 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ 1 (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) 1)) (/ (/ (sqrt k) (sqrt (* n (* 2 PI)))) (sqrt (pow (* n (* 2 PI)) (- (/ k 2))))))) 1537029903.356 * * * * [misc]progress: [ 209 / 243 ] simplifiying candidate # 1537029903.357 * [enter]simplify: Simplifying (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (* (* 2 n) PI)))) 1537029903.358 * * [misc]simplify: iters left: 6 (16 enodes) 1537029903.366 * * [misc]simplify: iters left: 5 (26 enodes) 1537029903.374 * * [misc]simplify: iters left: 4 (33 enodes) 1537029903.382 * * [misc]simplify: iters left: 3 (35 enodes) 1537029903.393 * [exit]simplify: Simplified to (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (* PI (* n 2))))) 1537029903.393 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ 1 1) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))))) (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (* PI (* n 2))))))) 1537029903.393 * * * * [misc]progress: [ 210 / 243 ] simplifiying candidate # 1537029903.393 * [enter]simplify: Simplifying (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt PI)) 1537029903.395 * * [misc]simplify: iters left: 6 (13 enodes) 1537029903.400 * * [misc]simplify: iters left: 5 (21 enodes) 1537029903.408 * * [misc]simplify: iters left: 4 (30 enodes) 1537029903.415 * * [misc]simplify: iters left: 3 (32 enodes) 1537029903.421 * [exit]simplify: Simplified to (/ (/ (sqrt k) (sqrt PI)) (pow (* n (* 2 PI)) (/ (- k) 2))) 1537029903.421 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ 1 1) (sqrt (* 2 n)))) (/ (/ (sqrt k) (sqrt PI)) (pow (* n (* 2 PI)) (/ (- k) 2))))) 1537029903.421 * * * * [misc]progress: [ 211 / 243 ] simplifiying candidate # 1537029903.421 * [enter]simplify: Simplifying (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI)))) 1537029903.422 * * [misc]simplify: iters left: 6 (16 enodes) 1537029903.428 * * [misc]simplify: iters left: 5 (26 enodes) 1537029903.432 * * [misc]simplify: iters left: 4 (33 enodes) 1537029903.437 * * [misc]simplify: iters left: 3 (35 enodes) 1537029903.447 * [exit]simplify: Simplified to (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (* PI (* n 2))))) 1537029903.448 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ 1 1) (sqrt (sqrt (* (* 2 n) PI))))) (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (* PI (* n 2))))))) 1537029903.448 * * * * [misc]progress: [ 212 / 243 ] simplifiying candidate # 1537029903.448 * [enter]simplify: Simplifying (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (* 2 n) PI))) 1537029903.449 * * [misc]simplify: iters left: 6 (15 enodes) 1537029903.456 * * [misc]simplify: iters left: 5 (25 enodes) 1537029903.465 * * [misc]simplify: iters left: 4 (32 enodes) 1537029903.475 * * [misc]simplify: iters left: 3 (34 enodes) 1537029903.488 * [exit]simplify: Simplified to (/ (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2))) (sqrt (* n (* 2 PI)))) 1537029903.488 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ 1 1) 1)) (/ (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2))) (sqrt (* n (* 2 PI)))))) 1537029903.488 * * * * [misc]progress: [ 213 / 243 ] simplifiying candidate # 1537029903.488 * [enter]simplify: Simplifying (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (* (* 2 n) PI)))) 1537029903.490 * * [misc]simplify: iters left: 6 (16 enodes) 1537029903.497 * * [misc]simplify: iters left: 5 (26 enodes) 1537029903.506 * * [misc]simplify: iters left: 4 (33 enodes) 1537029903.516 * * [misc]simplify: iters left: 3 (35 enodes) 1537029903.528 * [exit]simplify: Simplified to (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (* PI (* n 2))))) 1537029903.528 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))))) (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (* PI (* n 2))))))) 1537029903.528 * * * * [misc]progress: [ 214 / 243 ] simplifiying candidate # 1537029903.529 * [enter]simplify: Simplifying (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt PI)) 1537029903.530 * * [misc]simplify: iters left: 6 (13 enodes) 1537029903.536 * * [misc]simplify: iters left: 5 (21 enodes) 1537029903.546 * * [misc]simplify: iters left: 4 (30 enodes) 1537029903.556 * * [misc]simplify: iters left: 3 (32 enodes) 1537029903.567 * [exit]simplify: Simplified to (/ (/ (sqrt k) (sqrt PI)) (pow (* n (* 2 PI)) (/ (- k) 2))) 1537029903.567 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (sqrt (* 2 n)))) (/ (/ (sqrt k) (sqrt PI)) (pow (* n (* 2 PI)) (/ (- k) 2))))) 1537029903.567 * * * * [misc]progress: [ 215 / 243 ] simplifiying candidate # 1537029903.567 * [enter]simplify: Simplifying (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI)))) 1537029903.569 * * [misc]simplify: iters left: 6 (16 enodes) 1537029903.576 * * [misc]simplify: iters left: 5 (26 enodes) 1537029903.585 * * [misc]simplify: iters left: 4 (33 enodes) 1537029903.595 * * [misc]simplify: iters left: 3 (35 enodes) 1537029903.607 * [exit]simplify: Simplified to (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (* PI (* n 2))))) 1537029903.608 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (sqrt (sqrt (* (* 2 n) PI))))) (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (* PI (* n 2))))))) 1537029903.608 * * * * [misc]progress: [ 216 / 243 ] simplifiying candidate # 1537029903.608 * [enter]simplify: Simplifying (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (* 2 n) PI))) 1537029903.609 * * [misc]simplify: iters left: 6 (15 enodes) 1537029903.614 * * [misc]simplify: iters left: 5 (25 enodes) 1537029903.618 * * [misc]simplify: iters left: 4 (32 enodes) 1537029903.623 * * [misc]simplify: iters left: 3 (34 enodes) 1537029903.629 * [exit]simplify: Simplified to (/ (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2))) (sqrt (* n (* 2 PI)))) 1537029903.629 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 1)) (/ (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2))) (sqrt (* n (* 2 PI)))))) 1537029903.629 * * * * [misc]progress: [ 217 / 243 ] simplifiying candidate # 1537029903.630 * [enter]simplify: Simplifying (/ (/ 1 (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (* (* 2 n) PI)))) 1537029903.631 * * [misc]simplify: iters left: 6 (16 enodes) 1537029903.634 * * [misc]simplify: iters left: 5 (27 enodes) 1537029903.639 * * [misc]simplify: iters left: 4 (34 enodes) 1537029903.647 * * [misc]simplify: iters left: 3 (35 enodes) 1537029903.653 * [exit]simplify: Simplified to (/ (/ 1 (pow (* n (* 2 PI)) (/ (- k) 2))) (cbrt (sqrt (* n (* 2 PI))))) 1537029903.653 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt k) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))))) (/ (/ 1 (pow (* n (* 2 PI)) (/ (- k) 2))) (cbrt (sqrt (* n (* 2 PI))))))) 1537029903.653 * * * * [misc]progress: [ 218 / 243 ] simplifiying candidate # 1537029903.654 * [enter]simplify: Simplifying (/ (/ 1 (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt PI)) 1537029903.654 * * [misc]simplify: iters left: 6 (13 enodes) 1537029903.657 * * [misc]simplify: iters left: 5 (23 enodes) 1537029903.661 * * [misc]simplify: iters left: 4 (32 enodes) 1537029903.669 * * [misc]simplify: iters left: 3 (33 enodes) 1537029903.681 * [exit]simplify: Simplified to (/ (/ 1 (sqrt PI)) (pow (* (* 2 PI) n) (/ (- k) 2))) 1537029903.681 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt k) (sqrt (* 2 n)))) (/ (/ 1 (sqrt PI)) (pow (* (* 2 PI) n) (/ (- k) 2))))) 1537029903.681 * * * * [misc]progress: [ 219 / 243 ] simplifiying candidate # 1537029903.681 * [enter]simplify: Simplifying (/ (/ 1 (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI)))) 1537029903.683 * * [misc]simplify: iters left: 6 (16 enodes) 1537029903.690 * * [misc]simplify: iters left: 5 (27 enodes) 1537029903.700 * * [misc]simplify: iters left: 4 (34 enodes) 1537029903.710 * * [misc]simplify: iters left: 3 (35 enodes) 1537029903.721 * [exit]simplify: Simplified to (/ (/ 1 (pow (* n (* 2 PI)) (/ (- k) 2))) (sqrt (sqrt (* n (* 2 PI))))) 1537029903.721 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt k) (sqrt (sqrt (* (* 2 n) PI))))) (/ (/ 1 (pow (* n (* 2 PI)) (/ (- k) 2))) (sqrt (sqrt (* n (* 2 PI))))))) 1537029903.721 * * * * [misc]progress: [ 220 / 243 ] simplifiying candidate # 1537029903.722 * [enter]simplify: Simplifying (/ (/ 1 (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (* 2 n) PI))) 1537029903.723 * * [misc]simplify: iters left: 6 (15 enodes) 1537029903.730 * * [misc]simplify: iters left: 5 (26 enodes) 1537029903.739 * * [misc]simplify: iters left: 4 (33 enodes) 1537029903.746 * * [misc]simplify: iters left: 3 (34 enodes) 1537029903.754 * [exit]simplify: Simplified to (/ (/ 1 (pow (* 2 (* n PI)) (- (/ k 2)))) (sqrt (* 2 (* n PI)))) 1537029903.754 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt k) 1)) (/ (/ 1 (pow (* 2 (* n PI)) (- (/ k 2)))) (sqrt (* 2 (* n PI)))))) 1537029903.754 * * * * [misc]progress: [ 221 / 243 ] simplifiying candidate # 1537029903.754 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (/ k 2)) (cbrt (sqrt (* (* 2 n) PI)))) 1537029903.755 * * [misc]simplify: iters left: 6 (13 enodes) 1537029903.758 * * [misc]simplify: iters left: 5 (18 enodes) 1537029903.761 * * [misc]simplify: iters left: 4 (22 enodes) 1537029903.764 * * [misc]simplify: iters left: 3 (23 enodes) 1537029903.768 * [exit]simplify: Simplified to (/ (pow (* PI (* 2 n)) (/ k 2)) (cbrt (sqrt (* PI (* 2 n))))) 1537029903.768 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (sqrt k) 1) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))))) (/ (pow (* PI (* 2 n)) (/ k 2)) (cbrt (sqrt (* PI (* 2 n))))))) 1537029903.768 * * * * [misc]progress: [ 222 / 243 ] simplifiying candidate # 1537029903.768 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)) 1537029903.769 * * [misc]simplify: iters left: 6 (10 enodes) 1537029903.771 * * [misc]simplify: iters left: 5 (14 enodes) 1537029903.774 * * [misc]simplify: iters left: 4 (20 enodes) 1537029903.777 * * [misc]simplify: iters left: 3 (22 enodes) 1537029903.781 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (/ k 2)) (sqrt PI)) 1537029903.781 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (sqrt k) 1) (sqrt (* 2 n)))) (/ (pow (* (* 2 n) PI) (/ k 2)) (sqrt PI)))) 1537029903.781 * * * * [misc]progress: [ 223 / 243 ] simplifiying candidate # 1537029903.781 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt (sqrt (* (* 2 n) PI)))) 1537029903.782 * * [misc]simplify: iters left: 6 (13 enodes) 1537029903.784 * * [misc]simplify: iters left: 5 (18 enodes) 1537029903.788 * * [misc]simplify: iters left: 4 (22 enodes) 1537029903.795 * * [misc]simplify: iters left: 3 (23 enodes) 1537029903.803 * [exit]simplify: Simplified to (/ (pow (* PI (* 2 n)) (/ k 2)) (sqrt (sqrt (* PI (* 2 n))))) 1537029903.803 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (sqrt k) 1) (sqrt (sqrt (* (* 2 n) PI))))) (/ (pow (* PI (* 2 n)) (/ k 2)) (sqrt (sqrt (* PI (* 2 n))))))) 1537029903.803 * * * * [misc]progress: [ 224 / 243 ] simplifiying candidate # 1537029903.803 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt (* (* 2 n) PI))) 1537029903.805 * * [misc]simplify: iters left: 6 (12 enodes) 1537029903.810 * * [misc]simplify: iters left: 5 (17 enodes) 1537029903.816 * * [misc]simplify: iters left: 4 (21 enodes) 1537029903.823 * * [misc]simplify: iters left: 3 (22 enodes) 1537029903.830 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (/ k 2)) (sqrt (* (* 2 n) PI))) 1537029903.830 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (sqrt k) 1) 1)) (/ (pow (* (* 2 n) PI) (/ k 2)) (sqrt (* (* 2 n) PI))))) 1537029903.830 * * * * [misc]progress: [ 225 / 243 ] simplifiying candidate # 1537029903.830 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (/ k 2)) (cbrt (sqrt (* (* 2 n) PI)))) 1537029903.832 * * [misc]simplify: iters left: 6 (13 enodes) 1537029903.837 * * [misc]simplify: iters left: 5 (18 enodes) 1537029903.846 * * [misc]simplify: iters left: 4 (22 enodes) 1537029903.854 * * [misc]simplify: iters left: 3 (23 enodes) 1537029903.861 * [exit]simplify: Simplified to (/ (pow (* PI (* 2 n)) (/ k 2)) (cbrt (sqrt (* PI (* 2 n))))) 1537029903.861 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (sqrt k) (pow (* PI (* n 2)) 0)) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))))) (/ (pow (* PI (* 2 n)) (/ k 2)) (cbrt (sqrt (* PI (* 2 n))))))) 1537029903.861 * * * * [misc]progress: [ 226 / 243 ] simplifiying candidate # 1537029903.862 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)) 1537029903.863 * * [misc]simplify: iters left: 6 (10 enodes) 1537029903.867 * * [misc]simplify: iters left: 5 (14 enodes) 1537029903.873 * * [misc]simplify: iters left: 4 (20 enodes) 1537029903.880 * * [misc]simplify: iters left: 3 (22 enodes) 1537029903.887 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (/ k 2)) (sqrt PI)) 1537029903.887 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (sqrt k) (pow (* PI (* n 2)) 0)) (sqrt (* 2 n)))) (/ (pow (* (* 2 n) PI) (/ k 2)) (sqrt PI)))) 1537029903.887 * * * * [misc]progress: [ 227 / 243 ] simplifiying candidate # 1537029903.887 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt (sqrt (* (* 2 n) PI)))) 1537029903.889 * * [misc]simplify: iters left: 6 (13 enodes) 1537029903.894 * * [misc]simplify: iters left: 5 (18 enodes) 1537029903.900 * * [misc]simplify: iters left: 4 (22 enodes) 1537029903.908 * * [misc]simplify: iters left: 3 (23 enodes) 1537029903.915 * [exit]simplify: Simplified to (/ (pow (* PI (* 2 n)) (/ k 2)) (sqrt (sqrt (* PI (* 2 n))))) 1537029903.915 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (sqrt k) (pow (* PI (* n 2)) 0)) (sqrt (sqrt (* (* 2 n) PI))))) (/ (pow (* PI (* 2 n)) (/ k 2)) (sqrt (sqrt (* PI (* 2 n))))))) 1537029903.916 * * * * [misc]progress: [ 228 / 243 ] simplifiying candidate # 1537029903.916 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt (* (* 2 n) PI))) 1537029903.917 * * [misc]simplify: iters left: 6 (12 enodes) 1537029903.922 * * [misc]simplify: iters left: 5 (17 enodes) 1537029903.929 * * [misc]simplify: iters left: 4 (21 enodes) 1537029903.935 * * [misc]simplify: iters left: 3 (22 enodes) 1537029903.941 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (/ k 2)) (sqrt (* (* 2 n) PI))) 1537029903.942 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (sqrt k) (pow (* PI (* n 2)) 0)) 1)) (/ (pow (* (* 2 n) PI) (/ k 2)) (sqrt (* (* 2 n) PI))))) 1537029903.942 * * * * [misc]progress: [ 229 / 243 ] simplifiying candidate # 1537029903.942 * [enter]simplify: Simplifying (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (* 2 n) PI))) 1537029903.944 * * [misc]simplify: iters left: 6 (15 enodes) 1537029903.950 * * [misc]simplify: iters left: 5 (25 enodes) 1537029903.958 * * [misc]simplify: iters left: 4 (32 enodes) 1537029903.969 * * [misc]simplify: iters left: 3 (34 enodes) 1537029903.981 * [exit]simplify: Simplified to (/ (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2))) (sqrt (* n (* 2 PI)))) 1537029903.981 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 1) (/ (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2))) (sqrt (* n (* 2 PI)))))) 1537029903.981 * * * * [misc]progress: [ 230 / 243 ] simplifiying candidate # 1537029903.981 * [enter]simplify: Simplifying (/ 1 (sqrt (* (* 2 n) PI))) 1537029903.982 * * [misc]simplify: iters left: 6 (8 enodes) 1537029903.985 * * [misc]simplify: iters left: 5 (14 enodes) 1537029903.990 * * [misc]simplify: iters left: 4 (20 enodes) 1537029903.997 * * [misc]simplify: iters left: 3 (21 enodes) 1537029904.004 * [exit]simplify: Simplified to (/ 1 (sqrt (* (* PI n) 2))) 1537029904.004 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (/ 1 (sqrt (* (* PI n) 2))))) 1537029904.004 * * * * [misc]progress: [ 231 / 243 ] simplifiying candidate # 1537029904.004 * [enter]simplify: Simplifying (sqrt (* (* 2 n) PI)) 1537029904.005 * * [misc]simplify: iters left: 5 (6 enodes) 1537029904.008 * * [misc]simplify: iters left: 4 (10 enodes) 1537029904.010 * * [misc]simplify: iters left: 3 (16 enodes) 1537029904.012 * * [misc]simplify: iters left: 2 (18 enodes) 1537029904.015 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1537029904.015 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (* 2 n) PI)))) 1537029904.015 * * * * [misc]progress: [ 232 / 243 ] simplifiying candidate # 1537029904.016 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537029904.016 * * [misc]simplify: iters left: 4 (5 enodes) 1537029904.017 * * [misc]simplify: iters left: 3 (9 enodes) 1537029904.019 * * [misc]simplify: iters left: 2 (15 enodes) 1537029904.022 * * [misc]simplify: iters left: 1 (17 enodes) 1537029904.025 * [exit]simplify: Simplified to (* (* PI n) 2) 1537029904.025 * [misc]simplify: Simplified (2 2 1 2 1) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt (* (* 2 n) PI))))) 1537029904.025 * * * * [misc]progress: [ 233 / 243 ] simplifiying candidate # 1537029904.025 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537029904.025 * * [misc]simplify: iters left: 4 (5 enodes) 1537029904.027 * * [misc]simplify: iters left: 3 (9 enodes) 1537029904.029 * * [misc]simplify: iters left: 2 (15 enodes) 1537029904.031 * * [misc]simplify: iters left: 1 (17 enodes) 1537029904.034 * [exit]simplify: Simplified to (* (* PI n) 2) 1537029904.034 * [misc]simplify: Simplified (2 2 1 2 1) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt (* (* 2 n) PI))))) 1537029904.034 * * * * [misc]progress: [ 234 / 243 ] simplifiying candidate # 1537029904.034 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537029904.034 * * [misc]simplify: iters left: 4 (5 enodes) 1537029904.036 * * [misc]simplify: iters left: 3 (9 enodes) 1537029904.037 * * [misc]simplify: iters left: 2 (15 enodes) 1537029904.040 * * [misc]simplify: iters left: 1 (17 enodes) 1537029904.043 * [exit]simplify: Simplified to (* (* PI n) 2) 1537029904.043 * [misc]simplify: Simplified (2 2 1 2 1) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt (* (* 2 n) PI))))) 1537029904.043 * * * * [misc]progress: [ 235 / 243 ] simplifiying candidate # 1537029904.043 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537029904.043 * * [misc]simplify: iters left: 4 (5 enodes) 1537029904.046 * * [misc]simplify: iters left: 3 (9 enodes) 1537029904.050 * * [misc]simplify: iters left: 2 (15 enodes) 1537029904.055 * * [misc]simplify: iters left: 1 (17 enodes) 1537029904.062 * [exit]simplify: Simplified to (* (* PI n) 2) 1537029904.062 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (* PI n) 2))))) 1537029904.062 * * * * [misc]progress: [ 236 / 243 ] simplifiying candidate # 1537029904.062 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537029904.063 * * [misc]simplify: iters left: 4 (5 enodes) 1537029904.065 * * [misc]simplify: iters left: 3 (9 enodes) 1537029904.069 * * [misc]simplify: iters left: 2 (15 enodes) 1537029904.074 * * [misc]simplify: iters left: 1 (17 enodes) 1537029904.079 * [exit]simplify: Simplified to (* (* PI n) 2) 1537029904.079 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (* PI n) 2))))) 1537029904.079 * * * * [misc]progress: [ 237 / 243 ] simplifiying candidate # 1537029904.079 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537029904.079 * * [misc]simplify: iters left: 4 (5 enodes) 1537029904.082 * * [misc]simplify: iters left: 3 (9 enodes) 1537029904.085 * * [misc]simplify: iters left: 2 (15 enodes) 1537029904.091 * * [misc]simplify: iters left: 1 (17 enodes) 1537029904.096 * [exit]simplify: Simplified to (* (* PI n) 2) 1537029904.096 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (* PI n) 2))))) 1537029904.096 * * * * [misc]progress: [ 238 / 243 ] simplifiying candidate # 1537029904.097 * [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))))))))))))))) 1537029904.097 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1537029904.097 * * * * [misc]progress: [ 239 / 243 ] simplifiying candidate # 1537029904.097 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (* (pow n 3) (* (pow PI 3) (pow k 2))))))) (- (+ (* +nan.0 (/ 1 (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (* n PI))))) (- (* +nan.0 (/ 1 (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (* (pow n 2) (* (pow PI 2) k))))))))))) 1537029904.097 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1537029904.097 * * * * [misc]progress: [ 240 / 243 ] simplifiying candidate # 1537029904.098 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) n))) (- (+ (* +nan.0 (/ 1 (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) PI))) (- (* +nan.0 (/ 1 (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) (* PI k))))))))) 1537029904.098 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1537029904.098 * * * * [misc]progress: [ 241 / 243 ] simplifiying candidate # 1537029904.098 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (pow (log n) 2) (pow k 2)))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (sqrt 2) (* n (* PI (pow k 2)))))) (- (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI (* (log n) (pow k 2)))))))))))))))))) 1537029904.098 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1537029904.098 * * * * [misc]progress: [ 242 / 243 ] simplifiying candidate # 1537029904.098 * [enter]simplify: Simplifying (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (* n PI))) k)) 1537029904.098 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1537029904.098 * * * * [misc]progress: [ 243 / 243 ] simplifiying candidate # 1537029904.099 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) PI)) (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) PI) k)) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) (pow PI 2)) n))))))) 1537029904.099 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1537029904.099 * * * [misc]progress: adding candidates to table 1537029910.910 * * [misc]progress: iteration 4 / 4 1537029910.910 * * * [misc]progress: picking best candidate 1537029911.011 * * * * [misc]pick: Picked # 1537029911.011 * * * [misc]progress: localizing error 1537029911.073 * * * [misc]progress: generating rewritten candidates 1537029911.073 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2) 1537029911.074 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2) 1537029911.118 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) 1537029911.156 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 1) 1537029911.174 * * * [misc]progress: generating series expansions 1537029911.174 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2) 1537029911.174 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2) 1537029911.174 * [misc]backup-simplify: Simplify (/ (/ (sqrt k) 1) (sqrt (* 2 n))) into (* (/ 1 (sqrt 2)) (sqrt (/ k n))) 1537029911.174 * [misc]approximate: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt (/ k n))) in (k n) around 0 1537029911.174 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt (/ k n))) in n 1537029911.174 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt 2)) in n 1537029911.174 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537029911.174 * [misc]taylor: Taking taylor expansion of 2 in n 1537029911.175 * [misc]backup-simplify: Simplify 2 into 2 1537029911.175 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029911.175 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029911.175 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1537029911.175 * [misc]taylor: Taking taylor expansion of (sqrt (/ k n)) in n 1537029911.175 * [misc]taylor: Taking taylor expansion of (/ k n) in n 1537029911.175 * [misc]taylor: Taking taylor expansion of k in n 1537029911.175 * [misc]backup-simplify: Simplify k into k 1537029911.175 * [misc]taylor: Taking taylor expansion of n in n 1537029911.175 * [misc]backup-simplify: Simplify 0 into 0 1537029911.175 * [misc]backup-simplify: Simplify 1 into 1 1537029911.175 * [misc]backup-simplify: Simplify (/ k 1) into k 1537029911.175 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537029911.176 * [misc]backup-simplify: Simplify (/ k (* 2 (sqrt 0))) into (* +nan.0 k) 1537029911.176 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt (/ k n))) in k 1537029911.176 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt 2)) in k 1537029911.176 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537029911.176 * [misc]taylor: Taking taylor expansion of 2 in k 1537029911.176 * [misc]backup-simplify: Simplify 2 into 2 1537029911.176 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029911.176 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029911.176 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1537029911.176 * [misc]taylor: Taking taylor expansion of (sqrt (/ k n)) in k 1537029911.176 * [misc]taylor: Taking taylor expansion of (/ k n) in k 1537029911.176 * [misc]taylor: Taking taylor expansion of k in k 1537029911.176 * [misc]backup-simplify: Simplify 0 into 0 1537029911.176 * [misc]backup-simplify: Simplify 1 into 1 1537029911.176 * [misc]taylor: Taking taylor expansion of n in k 1537029911.176 * [misc]backup-simplify: Simplify n into n 1537029911.176 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1537029911.176 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537029911.177 * [misc]backup-simplify: Simplify (/ (/ 1 n) (* 2 (sqrt 0))) into (/ +nan.0 n) 1537029911.177 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt (/ k n))) in k 1537029911.177 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt 2)) in k 1537029911.177 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537029911.177 * [misc]taylor: Taking taylor expansion of 2 in k 1537029911.177 * [misc]backup-simplify: Simplify 2 into 2 1537029911.177 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029911.177 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029911.177 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1537029911.177 * [misc]taylor: Taking taylor expansion of (sqrt (/ k n)) in k 1537029911.177 * [misc]taylor: Taking taylor expansion of (/ k n) in k 1537029911.177 * [misc]taylor: Taking taylor expansion of k in k 1537029911.177 * [misc]backup-simplify: Simplify 0 into 0 1537029911.177 * [misc]backup-simplify: Simplify 1 into 1 1537029911.177 * [misc]taylor: Taking taylor expansion of n in k 1537029911.177 * [misc]backup-simplify: Simplify n into n 1537029911.177 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1537029911.177 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537029911.178 * [misc]backup-simplify: Simplify (/ (/ 1 n) (* 2 (sqrt 0))) into (/ +nan.0 n) 1537029911.178 * [misc]backup-simplify: Simplify (* (/ 1 (sqrt 2)) 0) into 0 1537029911.178 * [misc]taylor: Taking taylor expansion of 0 in n 1537029911.178 * [misc]backup-simplify: Simplify 0 into 0 1537029911.178 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1537029911.178 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (/ +nan.0 n)) (* 0 0)) into (- (* +nan.0 (/ 1 (* (sqrt 2) n)))) 1537029911.178 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (sqrt 2) n)))) in n 1537029911.178 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (sqrt 2) n))) in n 1537029911.178 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537029911.178 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537029911.178 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) n)) in n 1537029911.178 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) n) in n 1537029911.178 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537029911.179 * [misc]taylor: Taking taylor expansion of 2 in n 1537029911.179 * [misc]backup-simplify: Simplify 2 into 2 1537029911.179 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029911.179 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029911.179 * [misc]taylor: Taking taylor expansion of n in n 1537029911.179 * [misc]backup-simplify: Simplify 0 into 0 1537029911.179 * [misc]backup-simplify: Simplify 1 into 1 1537029911.179 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1537029911.179 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2) 1537029911.180 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1537029911.180 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (sqrt 2))) into (/ +nan.0 (sqrt 2)) 1537029911.180 * [misc]backup-simplify: Simplify (- (/ +nan.0 (sqrt 2))) into (- (* +nan.0 (/ 1 (sqrt 2)))) 1537029911.181 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (sqrt 2)))) into (- (* +nan.0 (/ 1 (sqrt 2)))) 1537029911.181 * [misc]backup-simplify: Simplify 0 into 0 1537029911.181 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0 1537029911.181 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ +nan.0 n) 2) (+)) (* 2 0)) into (/ +nan.0 (pow n 2)) 1537029911.182 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1537029911.182 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1537029911.183 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (/ +nan.0 (pow n 2))) (+ (* 0 (/ +nan.0 n)) (* 0 0))) into (- (* +nan.0 (/ 1 (* (sqrt 2) (pow n 2))))) 1537029911.183 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (sqrt 2) (pow n 2))))) in n 1537029911.183 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (sqrt 2) (pow n 2)))) in n 1537029911.183 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537029911.183 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537029911.183 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (pow n 2))) in n 1537029911.183 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow n 2)) in n 1537029911.183 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537029911.183 * [misc]taylor: Taking taylor expansion of 2 in n 1537029911.183 * [misc]backup-simplify: Simplify 2 into 2 1537029911.183 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029911.183 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029911.183 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1537029911.183 * [misc]taylor: Taking taylor expansion of n in n 1537029911.183 * [misc]backup-simplify: Simplify 0 into 0 1537029911.183 * [misc]backup-simplify: Simplify 1 into 1 1537029911.183 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537029911.184 * [misc]backup-simplify: Simplify (* (sqrt 2) 1) into (sqrt 2) 1537029911.184 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1537029911.184 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1537029911.184 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 1)) into 0 1537029911.184 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1537029911.184 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (sqrt 2)))) into 0 1537029911.185 * [misc]backup-simplify: Simplify (- 0) into 0 1537029911.185 * [misc]backup-simplify: Simplify 0 into 0 1537029911.185 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1537029911.186 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0 1537029911.186 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1537029911.186 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (sqrt 2)))) into 0 1537029911.186 * [misc]backup-simplify: Simplify (- 0) into 0 1537029911.186 * [misc]backup-simplify: Simplify 0 into 0 1537029911.186 * [misc]backup-simplify: Simplify 0 into 0 1537029911.186 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1537029911.187 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (/ +nan.0 n) (/ +nan.0 (pow n 2)))))) (* 2 0)) into (/ +nan.0 (pow n 3)) 1537029911.187 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537029911.187 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1537029911.188 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (/ +nan.0 (pow n 3))) (+ (* 0 (/ +nan.0 (pow n 2))) (+ (* 0 (/ +nan.0 n)) (* 0 0)))) into (- (* +nan.0 (/ 1 (* (sqrt 2) (pow n 3))))) 1537029911.188 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (sqrt 2) (pow n 3))))) in n 1537029911.188 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (sqrt 2) (pow n 3)))) in n 1537029911.188 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537029911.188 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537029911.188 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (pow n 3))) in n 1537029911.188 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow n 3)) in n 1537029911.188 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537029911.188 * [misc]taylor: Taking taylor expansion of 2 in n 1537029911.188 * [misc]backup-simplify: Simplify 2 into 2 1537029911.188 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029911.188 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029911.188 * [misc]taylor: Taking taylor expansion of (pow n 3) in n 1537029911.188 * [misc]taylor: Taking taylor expansion of n in n 1537029911.188 * [misc]backup-simplify: Simplify 0 into 0 1537029911.189 * [misc]backup-simplify: Simplify 1 into 1 1537029911.189 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537029911.189 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537029911.189 * [misc]backup-simplify: Simplify (* (sqrt 2) 1) into (sqrt 2) 1537029911.189 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1537029911.190 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1537029911.190 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1537029911.190 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1537029911.191 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1537029911.192 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1537029911.193 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 1))) into 0 1537029911.193 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 1)) into 0 1537029911.193 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1537029911.194 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1537029911.194 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (/ 1 (sqrt 2))))) into 0 1537029911.194 * [misc]backup-simplify: Simplify (- 0) into 0 1537029911.194 * [misc]backup-simplify: Simplify 0 into 0 1537029911.194 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1537029911.196 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1537029911.196 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 1))) into 0 1537029911.196 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1537029911.197 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (/ 1 (sqrt 2))))) into 0 1537029911.197 * [misc]backup-simplify: Simplify (- 0) into 0 1537029911.197 * [misc]backup-simplify: Simplify 0 into 0 1537029911.198 * [misc]backup-simplify: Simplify (* (- (* +nan.0 (/ 1 (sqrt 2)))) (* (/ 1 n) k)) into (* +nan.0 (/ k (* (sqrt 2) n))) 1537029911.198 * [misc]backup-simplify: Simplify (/ (/ (sqrt (/ 1 k)) 1) (sqrt (* 2 (/ 1 n)))) into (* (/ 1 (sqrt 2)) (sqrt (/ n k))) 1537029911.198 * [misc]approximate: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt (/ n k))) in (k n) around 0 1537029911.198 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt (/ n k))) in n 1537029911.198 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt 2)) in n 1537029911.198 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537029911.198 * [misc]taylor: Taking taylor expansion of 2 in n 1537029911.198 * [misc]backup-simplify: Simplify 2 into 2 1537029911.198 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029911.199 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029911.199 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1537029911.199 * [misc]taylor: Taking taylor expansion of (sqrt (/ n k)) in n 1537029911.199 * [misc]taylor: Taking taylor expansion of (/ n k) in n 1537029911.199 * [misc]taylor: Taking taylor expansion of n in n 1537029911.199 * [misc]backup-simplify: Simplify 0 into 0 1537029911.199 * [misc]backup-simplify: Simplify 1 into 1 1537029911.199 * [misc]taylor: Taking taylor expansion of k in n 1537029911.199 * [misc]backup-simplify: Simplify k into k 1537029911.199 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1537029911.199 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537029911.200 * [misc]backup-simplify: Simplify (/ (/ 1 k) (* 2 (sqrt 0))) into (/ +nan.0 k) 1537029911.200 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt (/ n k))) in k 1537029911.200 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt 2)) in k 1537029911.200 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537029911.200 * [misc]taylor: Taking taylor expansion of 2 in k 1537029911.200 * [misc]backup-simplify: Simplify 2 into 2 1537029911.200 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029911.200 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029911.200 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1537029911.200 * [misc]taylor: Taking taylor expansion of (sqrt (/ n k)) in k 1537029911.200 * [misc]taylor: Taking taylor expansion of (/ n k) in k 1537029911.200 * [misc]taylor: Taking taylor expansion of n in k 1537029911.201 * [misc]backup-simplify: Simplify n into n 1537029911.201 * [misc]taylor: Taking taylor expansion of k in k 1537029911.201 * [misc]backup-simplify: Simplify 0 into 0 1537029911.201 * [misc]backup-simplify: Simplify 1 into 1 1537029911.201 * [misc]backup-simplify: Simplify (/ n 1) into n 1537029911.201 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537029911.201 * [misc]backup-simplify: Simplify (/ n (* 2 (sqrt 0))) into (* +nan.0 n) 1537029911.201 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt (/ n k))) in k 1537029911.201 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt 2)) in k 1537029911.201 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537029911.201 * [misc]taylor: Taking taylor expansion of 2 in k 1537029911.201 * [misc]backup-simplify: Simplify 2 into 2 1537029911.201 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029911.202 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029911.202 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1537029911.202 * [misc]taylor: Taking taylor expansion of (sqrt (/ n k)) in k 1537029911.202 * [misc]taylor: Taking taylor expansion of (/ n k) in k 1537029911.202 * [misc]taylor: Taking taylor expansion of n in k 1537029911.202 * [misc]backup-simplify: Simplify n into n 1537029911.202 * [misc]taylor: Taking taylor expansion of k in k 1537029911.202 * [misc]backup-simplify: Simplify 0 into 0 1537029911.202 * [misc]backup-simplify: Simplify 1 into 1 1537029911.202 * [misc]backup-simplify: Simplify (/ n 1) into n 1537029911.202 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537029911.202 * [misc]backup-simplify: Simplify (/ n (* 2 (sqrt 0))) into (* +nan.0 n) 1537029911.203 * [misc]backup-simplify: Simplify (* (/ 1 (sqrt 2)) 0) into 0 1537029911.203 * [misc]taylor: Taking taylor expansion of 0 in n 1537029911.203 * [misc]backup-simplify: Simplify 0 into 0 1537029911.203 * [misc]backup-simplify: Simplify 0 into 0 1537029911.203 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1537029911.204 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (* +nan.0 n)) (* 0 0)) into (- (* +nan.0 (/ n (sqrt 2)))) 1537029911.204 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ n (sqrt 2)))) in n 1537029911.204 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ n (sqrt 2))) in n 1537029911.204 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537029911.204 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537029911.204 * [misc]taylor: Taking taylor expansion of (/ n (sqrt 2)) in n 1537029911.204 * [misc]taylor: Taking taylor expansion of n in n 1537029911.204 * [misc]backup-simplify: Simplify 0 into 0 1537029911.204 * [misc]backup-simplify: Simplify 1 into 1 1537029911.204 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537029911.204 * [misc]taylor: Taking taylor expansion of 2 in n 1537029911.204 * [misc]backup-simplify: Simplify 2 into 2 1537029911.204 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029911.204 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029911.205 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1537029911.205 * [misc]backup-simplify: Simplify 0 into 0 1537029911.205 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0 1537029911.206 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 n) 2) (+)) (* 2 0)) into (* +nan.0 (pow n 2)) 1537029911.207 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1537029911.208 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1537029911.208 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (* +nan.0 (pow n 2))) (+ (* 0 (* +nan.0 n)) (* 0 0))) into (- (* +nan.0 (/ (pow n 2) (sqrt 2)))) 1537029911.208 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (pow n 2) (sqrt 2)))) in n 1537029911.208 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (pow n 2) (sqrt 2))) in n 1537029911.208 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537029911.208 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537029911.208 * [misc]taylor: Taking taylor expansion of (/ (pow n 2) (sqrt 2)) in n 1537029911.208 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1537029911.208 * [misc]taylor: Taking taylor expansion of n in n 1537029911.208 * [misc]backup-simplify: Simplify 0 into 0 1537029911.208 * [misc]backup-simplify: Simplify 1 into 1 1537029911.209 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537029911.209 * [misc]taylor: Taking taylor expansion of 2 in n 1537029911.209 * [misc]backup-simplify: Simplify 2 into 2 1537029911.209 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029911.209 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029911.209 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537029911.209 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1537029911.210 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (sqrt 2))) into (/ +nan.0 (sqrt 2)) 1537029911.211 * [misc]backup-simplify: Simplify (- (/ +nan.0 (sqrt 2))) into (- (* +nan.0 (/ 1 (sqrt 2)))) 1537029911.211 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (sqrt 2)))) into (- (* +nan.0 (/ 1 (sqrt 2)))) 1537029911.212 * [misc]backup-simplify: Simplify 0 into 0 1537029911.212 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029911.213 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 n) (* +nan.0 (pow n 2)))))) (* 2 0)) into (* +nan.0 (pow n 3)) 1537029911.213 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537029911.213 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1537029911.214 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (* +nan.0 (pow n 3))) (+ (* 0 (* +nan.0 (pow n 2))) (+ (* 0 (* +nan.0 n)) (* 0 0)))) into (- (* +nan.0 (/ (pow n 3) (sqrt 2)))) 1537029911.214 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (pow n 3) (sqrt 2)))) in n 1537029911.214 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (pow n 3) (sqrt 2))) in n 1537029911.214 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537029911.214 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537029911.214 * [misc]taylor: Taking taylor expansion of (/ (pow n 3) (sqrt 2)) in n 1537029911.214 * [misc]taylor: Taking taylor expansion of (pow n 3) in n 1537029911.214 * [misc]taylor: Taking taylor expansion of n in n 1537029911.214 * [misc]backup-simplify: Simplify 0 into 0 1537029911.215 * [misc]backup-simplify: Simplify 1 into 1 1537029911.215 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537029911.215 * [misc]taylor: Taking taylor expansion of 2 in n 1537029911.215 * [misc]backup-simplify: Simplify 2 into 2 1537029911.215 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029911.215 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029911.215 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537029911.215 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537029911.216 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1537029911.216 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1537029911.216 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (sqrt 2)))) into 0 1537029911.216 * [misc]backup-simplify: Simplify (- 0) into 0 1537029911.217 * [misc]backup-simplify: Simplify 0 into 0 1537029911.217 * [misc]backup-simplify: Simplify 0 into 0 1537029911.217 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029911.218 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (pow n 2)) 2) (+ (* 2 (* (* +nan.0 n) (* +nan.0 (pow n 3)))))) (* 2 0)) into (* +nan.0 (pow n 4)) 1537029911.219 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537029911.220 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1537029911.221 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (* +nan.0 (pow n 4))) (+ (* 0 (* +nan.0 (pow n 3))) (+ (* 0 (* +nan.0 (pow n 2))) (+ (* 0 (* +nan.0 n)) (* 0 0))))) into (- (* +nan.0 (/ (pow n 4) (sqrt 2)))) 1537029911.221 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (pow n 4) (sqrt 2)))) in n 1537029911.221 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (pow n 4) (sqrt 2))) in n 1537029911.221 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537029911.221 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537029911.221 * [misc]taylor: Taking taylor expansion of (/ (pow n 4) (sqrt 2)) in n 1537029911.221 * [misc]taylor: Taking taylor expansion of (pow n 4) in n 1537029911.221 * [misc]taylor: Taking taylor expansion of n in n 1537029911.221 * [misc]backup-simplify: Simplify 0 into 0 1537029911.221 * [misc]backup-simplify: Simplify 1 into 1 1537029911.221 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537029911.221 * [misc]taylor: Taking taylor expansion of 2 in n 1537029911.221 * [misc]backup-simplify: Simplify 2 into 2 1537029911.221 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029911.222 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029911.222 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537029911.222 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537029911.222 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1537029911.223 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (sqrt 2))) into (/ +nan.0 (sqrt 2)) 1537029911.223 * [misc]backup-simplify: Simplify (- (/ +nan.0 (sqrt 2))) into (- (* +nan.0 (/ 1 (sqrt 2)))) 1537029911.224 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (sqrt 2)))) into (- (* +nan.0 (/ 1 (sqrt 2)))) 1537029911.225 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1537029911.226 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1537029911.226 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (/ 1 (sqrt 2))))) into 0 1537029911.226 * [misc]backup-simplify: Simplify (- 0) into 0 1537029911.226 * [misc]backup-simplify: Simplify 0 into 0 1537029911.226 * [misc]backup-simplify: Simplify 0 into 0 1537029911.227 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029911.228 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 n) (* +nan.0 (pow n 4)))) (* 2 (* (* +nan.0 (pow n 2)) (* +nan.0 (pow n 3)))))) (* 2 0)) into (* +nan.0 (pow n 5)) 1537029911.228 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537029911.229 * [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 1537029911.230 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (* +nan.0 (pow n 5))) (+ (* 0 (* +nan.0 (pow n 4))) (+ (* 0 (* +nan.0 (pow n 3))) (+ (* 0 (* +nan.0 (pow n 2))) (+ (* 0 (* +nan.0 n)) (* 0 0)))))) into (- (* +nan.0 (/ (pow n 5) (sqrt 2)))) 1537029911.230 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (pow n 5) (sqrt 2)))) in n 1537029911.230 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (pow n 5) (sqrt 2))) in n 1537029911.230 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537029911.230 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537029911.230 * [misc]taylor: Taking taylor expansion of (/ (pow n 5) (sqrt 2)) in n 1537029911.230 * [misc]taylor: Taking taylor expansion of (pow n 5) in n 1537029911.230 * [misc]taylor: Taking taylor expansion of n in n 1537029911.230 * [misc]backup-simplify: Simplify 0 into 0 1537029911.230 * [misc]backup-simplify: Simplify 1 into 1 1537029911.230 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537029911.230 * [misc]taylor: Taking taylor expansion of 2 in n 1537029911.230 * [misc]backup-simplify: Simplify 2 into 2 1537029911.230 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029911.231 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029911.231 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537029911.231 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537029911.231 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537029911.232 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1537029911.232 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1537029911.232 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1537029911.233 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (sqrt 2)))) into 0 1537029911.233 * [misc]backup-simplify: Simplify (- 0) into 0 1537029911.233 * [misc]backup-simplify: Simplify 0 into 0 1537029911.233 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537029911.234 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1537029911.234 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqrt 2)))))) into 0 1537029911.234 * [misc]backup-simplify: Simplify (- 0) into 0 1537029911.234 * [misc]backup-simplify: Simplify 0 into 0 1537029911.234 * [misc]backup-simplify: Simplify 0 into 0 1537029911.236 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029911.237 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (pow n 3)) 2) (+ (* 2 (* (* +nan.0 n) (* +nan.0 (pow n 5)))) (* 2 (* (* +nan.0 (pow n 2)) (* +nan.0 (pow n 4)))))) (* 2 0)) into (* +nan.0 (pow n 6)) 1537029911.239 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537029911.239 * [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 1537029911.241 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (* +nan.0 (pow n 6))) (+ (* 0 (* +nan.0 (pow n 5))) (+ (* 0 (* +nan.0 (pow n 4))) (+ (* 0 (* +nan.0 (pow n 3))) (+ (* 0 (* +nan.0 (pow n 2))) (+ (* 0 (* +nan.0 n)) (* 0 0))))))) into (- (* +nan.0 (/ (pow n 6) (sqrt 2)))) 1537029911.241 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (pow n 6) (sqrt 2)))) in n 1537029911.241 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (pow n 6) (sqrt 2))) in n 1537029911.241 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537029911.241 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537029911.241 * [misc]taylor: Taking taylor expansion of (/ (pow n 6) (sqrt 2)) in n 1537029911.241 * [misc]taylor: Taking taylor expansion of (pow n 6) in n 1537029911.241 * [misc]taylor: Taking taylor expansion of n in n 1537029911.241 * [misc]backup-simplify: Simplify 0 into 0 1537029911.241 * [misc]backup-simplify: Simplify 1 into 1 1537029911.241 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537029911.241 * [misc]taylor: Taking taylor expansion of 2 in n 1537029911.241 * [misc]backup-simplify: Simplify 2 into 2 1537029911.241 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029911.242 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029911.242 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537029911.242 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537029911.242 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537029911.242 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1537029911.243 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (sqrt 2))) into (/ +nan.0 (sqrt 2)) 1537029911.244 * [misc]backup-simplify: Simplify (- (/ +nan.0 (sqrt 2))) into (- (* +nan.0 (/ 1 (sqrt 2)))) 1537029911.244 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (sqrt 2)))) into (- (* +nan.0 (/ 1 (sqrt 2)))) 1537029911.248 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (sqrt 2)))) (* (pow (/ 1 n) 3) (pow (/ 1 k) 2))) (+ (* (- (* +nan.0 (/ 1 (sqrt 2)))) (* (pow (/ 1 n) 2) (/ 1 k))) (* (- (* +nan.0 (/ 1 (sqrt 2)))) (* (/ 1 n) 1)))) into (- (+ (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 2) k)))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) n))) (- (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 3) (pow k 2)))))))))) 1537029911.248 * [misc]backup-simplify: Simplify (/ (/ (sqrt (/ 1 (- k))) 1) (sqrt (* 2 (/ 1 (- n))))) into (/ (sqrt (/ -1 k)) (sqrt (/ -2 n))) 1537029911.248 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (sqrt (/ -2 n))) in (k n) around 0 1537029911.248 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (sqrt (/ -2 n))) in n 1537029911.248 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1537029911.248 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1537029911.248 * [misc]taylor: Taking taylor expansion of -1 in n 1537029911.248 * [misc]backup-simplify: Simplify -1 into -1 1537029911.248 * [misc]taylor: Taking taylor expansion of k in n 1537029911.248 * [misc]backup-simplify: Simplify k into k 1537029911.249 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1537029911.249 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1537029911.249 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1537029911.249 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1537029911.249 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in n 1537029911.249 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1537029911.249 * [misc]taylor: Taking taylor expansion of -2 in n 1537029911.249 * [misc]backup-simplify: Simplify -2 into -2 1537029911.249 * [misc]taylor: Taking taylor expansion of n in n 1537029911.249 * [misc]backup-simplify: Simplify 0 into 0 1537029911.249 * [misc]backup-simplify: Simplify 1 into 1 1537029911.249 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1537029911.250 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537029911.250 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt 0))) into +nan.0 1537029911.250 * [misc]backup-simplify: Simplify (/ (sqrt (/ -1 k)) +nan.0) into (* +nan.0 (sqrt (/ -1 k))) 1537029911.250 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (sqrt (/ -2 n))) in k 1537029911.250 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1537029911.250 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1537029911.250 * [misc]taylor: Taking taylor expansion of -1 in k 1537029911.250 * [misc]backup-simplify: Simplify -1 into -1 1537029911.250 * [misc]taylor: Taking taylor expansion of k in k 1537029911.250 * [misc]backup-simplify: Simplify 0 into 0 1537029911.250 * [misc]backup-simplify: Simplify 1 into 1 1537029911.251 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1537029911.251 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537029911.251 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1537029911.251 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in k 1537029911.251 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1537029911.251 * [misc]taylor: Taking taylor expansion of -2 in k 1537029911.251 * [misc]backup-simplify: Simplify -2 into -2 1537029911.251 * [misc]taylor: Taking taylor expansion of n in k 1537029911.251 * [misc]backup-simplify: Simplify n into n 1537029911.251 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1537029911.252 * [misc]backup-simplify: Simplify (sqrt (/ -2 n)) into (sqrt (/ -2 n)) 1537029911.252 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ -2 n) (/ 0 n)))) into 0 1537029911.252 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -2 n)))) into 0 1537029911.252 * [misc]backup-simplify: Simplify (/ +nan.0 (sqrt (/ -2 n))) into (/ +nan.0 (sqrt (/ -2 n))) 1537029911.252 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (sqrt (/ -2 n))) in k 1537029911.252 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1537029911.252 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1537029911.252 * [misc]taylor: Taking taylor expansion of -1 in k 1537029911.252 * [misc]backup-simplify: Simplify -1 into -1 1537029911.252 * [misc]taylor: Taking taylor expansion of k in k 1537029911.252 * [misc]backup-simplify: Simplify 0 into 0 1537029911.252 * [misc]backup-simplify: Simplify 1 into 1 1537029911.252 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1537029911.253 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537029911.253 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1537029911.253 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in k 1537029911.253 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1537029911.253 * [misc]taylor: Taking taylor expansion of -2 in k 1537029911.253 * [misc]backup-simplify: Simplify -2 into -2 1537029911.253 * [misc]taylor: Taking taylor expansion of n in k 1537029911.253 * [misc]backup-simplify: Simplify n into n 1537029911.253 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1537029911.253 * [misc]backup-simplify: Simplify (sqrt (/ -2 n)) into (sqrt (/ -2 n)) 1537029911.254 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ -2 n) (/ 0 n)))) into 0 1537029911.254 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -2 n)))) into 0 1537029911.254 * [misc]backup-simplify: Simplify (/ +nan.0 (sqrt (/ -2 n))) into (/ +nan.0 (sqrt (/ -2 n))) 1537029911.254 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (sqrt (/ -2 n))) in n 1537029911.254 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537029911.254 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537029911.254 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in n 1537029911.254 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1537029911.254 * [misc]taylor: Taking taylor expansion of -2 in n 1537029911.254 * [misc]backup-simplify: Simplify -2 into -2 1537029911.254 * [misc]taylor: Taking taylor expansion of n in n 1537029911.254 * [misc]backup-simplify: Simplify 0 into 0 1537029911.254 * [misc]backup-simplify: Simplify 1 into 1 1537029911.254 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1537029911.255 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537029911.255 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt 0))) into +nan.0 1537029911.255 * [misc]backup-simplify: Simplify (/ +nan.0 +nan.0) into +nan.0 1537029911.255 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537029911.256 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1537029911.257 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1537029911.257 * [misc]backup-simplify: Simplify (- (/ +nan.0 (sqrt (/ -2 n))) (+ (* (/ +nan.0 (sqrt (/ -2 n))) (/ 0 (sqrt (/ -2 n)))))) into (- (* +nan.0 (/ 1 (sqrt (/ -2 n))))) 1537029911.257 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (sqrt (/ -2 n))))) in n 1537029911.257 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (sqrt (/ -2 n)))) in n 1537029911.257 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537029911.257 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537029911.257 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (/ -2 n))) in n 1537029911.257 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in n 1537029911.257 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1537029911.257 * [misc]taylor: Taking taylor expansion of -2 in n 1537029911.257 * [misc]backup-simplify: Simplify -2 into -2 1537029911.257 * [misc]taylor: Taking taylor expansion of n in n 1537029911.257 * [misc]backup-simplify: Simplify 0 into 0 1537029911.257 * [misc]backup-simplify: Simplify 1 into 1 1537029911.257 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1537029911.257 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537029911.258 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt 0))) into +nan.0 1537029911.258 * [misc]backup-simplify: Simplify (/ 1 +nan.0) into +nan.0 1537029911.258 * [misc]backup-simplify: Simplify (* +nan.0 +nan.0) into +nan.0 1537029911.258 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) 1537029911.259 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) 1537029911.259 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1537029911.260 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1537029911.261 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 1537029911.262 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) 1537029911.262 * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (* (/ 1 (- n)) 1)) (+ (* (- +nan.0) (* 1 (/ 1 (- k)))) +nan.0)) into (- (+ (* +nan.0 (/ 1 k)) (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))))) 1537029911.262 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) 1537029911.263 * [misc]backup-simplify: Simplify (/ 1 (/ (/ (sqrt k) 1) (sqrt (* 2 n)))) into (* (sqrt 2) (sqrt (/ n k))) 1537029911.263 * [misc]approximate: Taking taylor expansion of (* (sqrt 2) (sqrt (/ n k))) in (k n) around 0 1537029911.263 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (/ n k))) in n 1537029911.263 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537029911.263 * [misc]taylor: Taking taylor expansion of 2 in n 1537029911.263 * [misc]backup-simplify: Simplify 2 into 2 1537029911.263 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029911.263 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029911.263 * [misc]taylor: Taking taylor expansion of (sqrt (/ n k)) in n 1537029911.263 * [misc]taylor: Taking taylor expansion of (/ n k) in n 1537029911.263 * [misc]taylor: Taking taylor expansion of n in n 1537029911.263 * [misc]backup-simplify: Simplify 0 into 0 1537029911.263 * [misc]backup-simplify: Simplify 1 into 1 1537029911.263 * [misc]taylor: Taking taylor expansion of k in n 1537029911.263 * [misc]backup-simplify: Simplify k into k 1537029911.264 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1537029911.264 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537029911.264 * [misc]backup-simplify: Simplify (/ (/ 1 k) (* 2 (sqrt 0))) into (/ +nan.0 k) 1537029911.264 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (/ n k))) in k 1537029911.264 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537029911.264 * [misc]taylor: Taking taylor expansion of 2 in k 1537029911.264 * [misc]backup-simplify: Simplify 2 into 2 1537029911.264 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029911.264 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029911.264 * [misc]taylor: Taking taylor expansion of (sqrt (/ n k)) in k 1537029911.265 * [misc]taylor: Taking taylor expansion of (/ n k) in k 1537029911.265 * [misc]taylor: Taking taylor expansion of n in k 1537029911.265 * [misc]backup-simplify: Simplify n into n 1537029911.265 * [misc]taylor: Taking taylor expansion of k in k 1537029911.265 * [misc]backup-simplify: Simplify 0 into 0 1537029911.265 * [misc]backup-simplify: Simplify 1 into 1 1537029911.265 * [misc]backup-simplify: Simplify (/ n 1) into n 1537029911.265 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537029911.265 * [misc]backup-simplify: Simplify (/ n (* 2 (sqrt 0))) into (* +nan.0 n) 1537029911.265 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (/ n k))) in k 1537029911.265 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537029911.265 * [misc]taylor: Taking taylor expansion of 2 in k 1537029911.265 * [misc]backup-simplify: Simplify 2 into 2 1537029911.265 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029911.266 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029911.266 * [misc]taylor: Taking taylor expansion of (sqrt (/ n k)) in k 1537029911.266 * [misc]taylor: Taking taylor expansion of (/ n k) in k 1537029911.266 * [misc]taylor: Taking taylor expansion of n in k 1537029911.266 * [misc]backup-simplify: Simplify n into n 1537029911.266 * [misc]taylor: Taking taylor expansion of k in k 1537029911.266 * [misc]backup-simplify: Simplify 0 into 0 1537029911.266 * [misc]backup-simplify: Simplify 1 into 1 1537029911.266 * [misc]backup-simplify: Simplify (/ n 1) into n 1537029911.266 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537029911.266 * [misc]backup-simplify: Simplify (/ n (* 2 (sqrt 0))) into (* +nan.0 n) 1537029911.266 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1537029911.267 * [misc]taylor: Taking taylor expansion of 0 in n 1537029911.267 * [misc]backup-simplify: Simplify 0 into 0 1537029911.267 * [misc]backup-simplify: Simplify 0 into 0 1537029911.267 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 n)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) n))) 1537029911.267 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) n))) in n 1537029911.267 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) n)) in n 1537029911.267 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537029911.267 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537029911.267 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) n) in n 1537029911.267 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537029911.267 * [misc]taylor: Taking taylor expansion of 2 in n 1537029911.267 * [misc]backup-simplify: Simplify 2 into 2 1537029911.267 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029911.268 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029911.268 * [misc]taylor: Taking taylor expansion of n in n 1537029911.268 * [misc]backup-simplify: Simplify 0 into 0 1537029911.268 * [misc]backup-simplify: Simplify 1 into 1 1537029911.268 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1537029911.268 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1537029911.268 * [misc]backup-simplify: Simplify (- 0) into 0 1537029911.268 * [misc]backup-simplify: Simplify 0 into 0 1537029911.268 * [misc]backup-simplify: Simplify 0 into 0 1537029911.269 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0 1537029911.269 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 n) 2) (+)) (* 2 0)) into (* +nan.0 (pow n 2)) 1537029911.271 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1537029911.271 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (pow n 2))) (+ (* 0 (* +nan.0 n)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow n 2)))) 1537029911.271 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (pow n 2)))) in n 1537029911.271 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (pow n 2))) in n 1537029911.271 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537029911.271 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537029911.271 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow n 2)) in n 1537029911.271 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537029911.271 * [misc]taylor: Taking taylor expansion of 2 in n 1537029911.271 * [misc]backup-simplify: Simplify 2 into 2 1537029911.272 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029911.272 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029911.272 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1537029911.272 * [misc]taylor: Taking taylor expansion of n in n 1537029911.272 * [misc]backup-simplify: Simplify 0 into 0 1537029911.272 * [misc]backup-simplify: Simplify 1 into 1 1537029911.273 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2) 1537029911.273 * [misc]backup-simplify: Simplify (+ (* +nan.0 (sqrt 2)) (* 0 0)) into (- (* +nan.0 (sqrt 2))) 1537029911.274 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 2)))) into (- (* +nan.0 (sqrt 2))) 1537029911.274 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 2))) into (- (* +nan.0 (sqrt 2))) 1537029911.274 * [misc]backup-simplify: Simplify 0 into 0 1537029911.275 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029911.275 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 n) (* +nan.0 (pow n 2)))))) (* 2 0)) into (* +nan.0 (pow n 3)) 1537029911.276 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537029911.276 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (pow n 3))) (+ (* 0 (* +nan.0 (pow n 2))) (+ (* 0 (* +nan.0 n)) (* 0 0)))) into (- (* +nan.0 (* (sqrt 2) (pow n 3)))) 1537029911.276 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (pow n 3)))) in n 1537029911.276 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (pow n 3))) in n 1537029911.276 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537029911.276 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537029911.276 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow n 3)) in n 1537029911.276 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537029911.276 * [misc]taylor: Taking taylor expansion of 2 in n 1537029911.277 * [misc]backup-simplify: Simplify 2 into 2 1537029911.277 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029911.277 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029911.277 * [misc]taylor: Taking taylor expansion of (pow n 3) in n 1537029911.277 * [misc]taylor: Taking taylor expansion of n in n 1537029911.277 * [misc]backup-simplify: Simplify 0 into 0 1537029911.277 * [misc]backup-simplify: Simplify 1 into 1 1537029911.278 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1537029911.279 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0 1537029911.279 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 (sqrt 2)) (* 0 0))) into 0 1537029911.279 * [misc]backup-simplify: Simplify (- 0) into 0 1537029911.279 * [misc]backup-simplify: Simplify 0 into 0 1537029911.279 * [misc]backup-simplify: Simplify 0 into 0 1537029911.280 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029911.281 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (pow n 2)) 2) (+ (* 2 (* (* +nan.0 n) (* +nan.0 (pow n 3)))))) (* 2 0)) into (* +nan.0 (pow n 4)) 1537029911.282 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537029911.283 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (pow n 4))) (+ (* 0 (* +nan.0 (pow n 3))) (+ (* 0 (* +nan.0 (pow n 2))) (+ (* 0 (* +nan.0 n)) (* 0 0))))) into (- (* +nan.0 (* (sqrt 2) (pow n 4)))) 1537029911.283 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (pow n 4)))) in n 1537029911.283 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (pow n 4))) in n 1537029911.283 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537029911.283 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537029911.283 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow n 4)) in n 1537029911.283 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537029911.283 * [misc]taylor: Taking taylor expansion of 2 in n 1537029911.283 * [misc]backup-simplify: Simplify 2 into 2 1537029911.283 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029911.283 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029911.283 * [misc]taylor: Taking taylor expansion of (pow n 4) in n 1537029911.284 * [misc]taylor: Taking taylor expansion of n in n 1537029911.284 * [misc]backup-simplify: Simplify 0 into 0 1537029911.284 * [misc]backup-simplify: Simplify 1 into 1 1537029911.284 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537029911.284 * [misc]backup-simplify: Simplify (* (sqrt 2) 1) into (sqrt 2) 1537029911.284 * [misc]backup-simplify: Simplify (* +nan.0 (sqrt 2)) into (* +nan.0 (sqrt 2)) 1537029911.285 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 2))) into (- (* +nan.0 (sqrt 2))) 1537029911.285 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 2))) into (- (* +nan.0 (sqrt 2))) 1537029911.286 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537029911.286 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1537029911.286 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 (sqrt 2)) (* 0 0)))) into 0 1537029911.287 * [misc]backup-simplify: Simplify (- 0) into 0 1537029911.287 * [misc]backup-simplify: Simplify 0 into 0 1537029911.287 * [misc]backup-simplify: Simplify 0 into 0 1537029911.287 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029911.288 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 n) (* +nan.0 (pow n 4)))) (* 2 (* (* +nan.0 (pow n 2)) (* +nan.0 (pow n 3)))))) (* 2 0)) into (* +nan.0 (pow n 5)) 1537029911.288 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537029911.289 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (pow n 5))) (+ (* 0 (* +nan.0 (pow n 4))) (+ (* 0 (* +nan.0 (pow n 3))) (+ (* 0 (* +nan.0 (pow n 2))) (+ (* 0 (* +nan.0 n)) (* 0 0)))))) into (- (* +nan.0 (* (sqrt 2) (pow n 5)))) 1537029911.289 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (pow n 5)))) in n 1537029911.289 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (pow n 5))) in n 1537029911.289 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537029911.289 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537029911.289 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow n 5)) in n 1537029911.289 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537029911.289 * [misc]taylor: Taking taylor expansion of 2 in n 1537029911.289 * [misc]backup-simplify: Simplify 2 into 2 1537029911.290 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029911.290 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029911.290 * [misc]taylor: Taking taylor expansion of (pow n 5) in n 1537029911.290 * [misc]taylor: Taking taylor expansion of n in n 1537029911.290 * [misc]backup-simplify: Simplify 0 into 0 1537029911.290 * [misc]backup-simplify: Simplify 1 into 1 1537029911.290 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1537029911.290 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 1)) into 0 1537029911.291 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2))) into 0 1537029911.291 * [misc]backup-simplify: Simplify (- 0) into 0 1537029911.291 * [misc]backup-simplify: Simplify 0 into 0 1537029911.293 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537029911.293 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1537029911.293 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sqrt 2)) (* 0 0))))) into 0 1537029911.294 * [misc]backup-simplify: Simplify (- 0) into 0 1537029911.294 * [misc]backup-simplify: Simplify 0 into 0 1537029911.294 * [misc]backup-simplify: Simplify 0 into 0 1537029911.295 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029911.296 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (pow n 3)) 2) (+ (* 2 (* (* +nan.0 n) (* +nan.0 (pow n 5)))) (* 2 (* (* +nan.0 (pow n 2)) (* +nan.0 (pow n 4)))))) (* 2 0)) into (* +nan.0 (pow n 6)) 1537029911.297 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537029911.298 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (pow n 6))) (+ (* 0 (* +nan.0 (pow n 5))) (+ (* 0 (* +nan.0 (pow n 4))) (+ (* 0 (* +nan.0 (pow n 3))) (+ (* 0 (* +nan.0 (pow n 2))) (+ (* 0 (* +nan.0 n)) (* 0 0))))))) into (- (* +nan.0 (* (sqrt 2) (pow n 6)))) 1537029911.298 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (pow n 6)))) in n 1537029911.298 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (pow n 6))) in n 1537029911.298 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537029911.298 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537029911.298 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow n 6)) in n 1537029911.298 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537029911.298 * [misc]taylor: Taking taylor expansion of 2 in n 1537029911.298 * [misc]backup-simplify: Simplify 2 into 2 1537029911.299 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029911.299 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029911.299 * [misc]taylor: Taking taylor expansion of (pow n 6) in n 1537029911.299 * [misc]taylor: Taking taylor expansion of n in n 1537029911.299 * [misc]backup-simplify: Simplify 0 into 0 1537029911.299 * [misc]backup-simplify: Simplify 1 into 1 1537029911.299 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537029911.299 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537029911.300 * [misc]backup-simplify: Simplify (* (sqrt 2) 1) into (sqrt 2) 1537029911.300 * [misc]backup-simplify: Simplify (* +nan.0 (sqrt 2)) into (* +nan.0 (sqrt 2)) 1537029911.300 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 2))) into (- (* +nan.0 (sqrt 2))) 1537029911.301 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 2))) into (- (* +nan.0 (sqrt 2))) 1537029911.303 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (sqrt 2))) (* (pow n 3) (pow k 2))) (+ (* (- (* +nan.0 (sqrt 2))) (* (pow n 2) k)) (* (- (* +nan.0 (sqrt 2))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* (pow n 2) k))) (- (+ (* +nan.0 (* (sqrt 2) n)) (- (* +nan.0 (* (sqrt 2) (* (pow n 3) (pow k 2))))))))) 1537029911.303 * [misc]backup-simplify: Simplify (/ 1 (/ (/ (sqrt (/ 1 k)) 1) (sqrt (* 2 (/ 1 n))))) into (* (sqrt 2) (sqrt (/ k n))) 1537029911.303 * [misc]approximate: Taking taylor expansion of (* (sqrt 2) (sqrt (/ k n))) in (k n) around 0 1537029911.303 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (/ k n))) in n 1537029911.303 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537029911.303 * [misc]taylor: Taking taylor expansion of 2 in n 1537029911.303 * [misc]backup-simplify: Simplify 2 into 2 1537029911.303 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029911.304 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029911.304 * [misc]taylor: Taking taylor expansion of (sqrt (/ k n)) in n 1537029911.304 * [misc]taylor: Taking taylor expansion of (/ k n) in n 1537029911.304 * [misc]taylor: Taking taylor expansion of k in n 1537029911.304 * [misc]backup-simplify: Simplify k into k 1537029911.304 * [misc]taylor: Taking taylor expansion of n in n 1537029911.304 * [misc]backup-simplify: Simplify 0 into 0 1537029911.304 * [misc]backup-simplify: Simplify 1 into 1 1537029911.304 * [misc]backup-simplify: Simplify (/ k 1) into k 1537029911.304 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537029911.304 * [misc]backup-simplify: Simplify (/ k (* 2 (sqrt 0))) into (* +nan.0 k) 1537029911.304 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (/ k n))) in k 1537029911.304 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537029911.304 * [misc]taylor: Taking taylor expansion of 2 in k 1537029911.304 * [misc]backup-simplify: Simplify 2 into 2 1537029911.305 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029911.305 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029911.305 * [misc]taylor: Taking taylor expansion of (sqrt (/ k n)) in k 1537029911.305 * [misc]taylor: Taking taylor expansion of (/ k n) in k 1537029911.305 * [misc]taylor: Taking taylor expansion of k in k 1537029911.305 * [misc]backup-simplify: Simplify 0 into 0 1537029911.305 * [misc]backup-simplify: Simplify 1 into 1 1537029911.305 * [misc]taylor: Taking taylor expansion of n in k 1537029911.305 * [misc]backup-simplify: Simplify n into n 1537029911.305 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1537029911.305 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537029911.305 * [misc]backup-simplify: Simplify (/ (/ 1 n) (* 2 (sqrt 0))) into (/ +nan.0 n) 1537029911.305 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (/ k n))) in k 1537029911.305 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537029911.305 * [misc]taylor: Taking taylor expansion of 2 in k 1537029911.306 * [misc]backup-simplify: Simplify 2 into 2 1537029911.306 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029911.306 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029911.306 * [misc]taylor: Taking taylor expansion of (sqrt (/ k n)) in k 1537029911.306 * [misc]taylor: Taking taylor expansion of (/ k n) in k 1537029911.306 * [misc]taylor: Taking taylor expansion of k in k 1537029911.306 * [misc]backup-simplify: Simplify 0 into 0 1537029911.306 * [misc]backup-simplify: Simplify 1 into 1 1537029911.306 * [misc]taylor: Taking taylor expansion of n in k 1537029911.306 * [misc]backup-simplify: Simplify n into n 1537029911.306 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1537029911.306 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537029911.307 * [misc]backup-simplify: Simplify (/ (/ 1 n) (* 2 (sqrt 0))) into (/ +nan.0 n) 1537029911.307 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1537029911.307 * [misc]taylor: Taking taylor expansion of 0 in n 1537029911.307 * [misc]backup-simplify: Simplify 0 into 0 1537029911.310 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (/ +nan.0 n)) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2) n))) 1537029911.310 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2) n))) in n 1537029911.310 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (sqrt 2) n)) in n 1537029911.310 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537029911.310 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537029911.310 * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) n) in n 1537029911.310 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537029911.311 * [misc]taylor: Taking taylor expansion of 2 in n 1537029911.311 * [misc]backup-simplify: Simplify 2 into 2 1537029911.311 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029911.311 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029911.311 * [misc]taylor: Taking taylor expansion of n in n 1537029911.311 * [misc]backup-simplify: Simplify 0 into 0 1537029911.311 * [misc]backup-simplify: Simplify 1 into 1 1537029911.311 * [misc]backup-simplify: Simplify (/ (sqrt 2) 1) into (sqrt 2) 1537029911.312 * [misc]backup-simplify: Simplify (* +nan.0 (sqrt 2)) into (* +nan.0 (sqrt 2)) 1537029911.312 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 2))) into (- (* +nan.0 (sqrt 2))) 1537029911.313 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 2))) into (- (* +nan.0 (sqrt 2))) 1537029911.313 * [misc]backup-simplify: Simplify 0 into 0 1537029911.313 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0 1537029911.314 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ +nan.0 n) 2) (+)) (* 2 0)) into (/ +nan.0 (pow n 2)) 1537029911.315 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1537029911.315 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (/ +nan.0 (pow n 2))) (+ (* 0 (/ +nan.0 n)) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2) (pow n 2)))) 1537029911.315 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2) (pow n 2)))) in n 1537029911.315 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (sqrt 2) (pow n 2))) in n 1537029911.315 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537029911.315 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537029911.316 * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) (pow n 2)) in n 1537029911.316 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537029911.316 * [misc]taylor: Taking taylor expansion of 2 in n 1537029911.316 * [misc]backup-simplify: Simplify 2 into 2 1537029911.316 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029911.316 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029911.316 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1537029911.316 * [misc]taylor: Taking taylor expansion of n in n 1537029911.316 * [misc]backup-simplify: Simplify 0 into 0 1537029911.316 * [misc]backup-simplify: Simplify 1 into 1 1537029911.316 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537029911.317 * [misc]backup-simplify: Simplify (/ (sqrt 2) 1) into (sqrt 2) 1537029911.317 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1537029911.317 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)))) into 0 1537029911.317 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2))) into 0 1537029911.318 * [misc]backup-simplify: Simplify (- 0) into 0 1537029911.318 * [misc]backup-simplify: Simplify 0 into 0 1537029911.318 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)))) into 0 1537029911.318 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2))) into 0 1537029911.318 * [misc]backup-simplify: Simplify (- 0) into 0 1537029911.318 * [misc]backup-simplify: Simplify 0 into 0 1537029911.318 * [misc]backup-simplify: Simplify 0 into 0 1537029911.319 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1537029911.319 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (/ +nan.0 n) (/ +nan.0 (pow n 2)))))) (* 2 0)) into (/ +nan.0 (pow n 3)) 1537029911.319 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537029911.320 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (/ +nan.0 (pow n 3))) (+ (* 0 (/ +nan.0 (pow n 2))) (+ (* 0 (/ +nan.0 n)) (* 0 0)))) into (- (* +nan.0 (/ (sqrt 2) (pow n 3)))) 1537029911.320 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2) (pow n 3)))) in n 1537029911.320 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (sqrt 2) (pow n 3))) in n 1537029911.320 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537029911.320 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537029911.320 * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) (pow n 3)) in n 1537029911.320 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537029911.320 * [misc]taylor: Taking taylor expansion of 2 in n 1537029911.320 * [misc]backup-simplify: Simplify 2 into 2 1537029911.320 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537029911.321 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537029911.321 * [misc]taylor: Taking taylor expansion of (pow n 3) in n 1537029911.321 * [misc]taylor: Taking taylor expansion of n in n 1537029911.321 * [misc]backup-simplify: Simplify 0 into 0 1537029911.321 * [misc]backup-simplify: Simplify 1 into 1 1537029911.321 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537029911.321 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537029911.321 * [misc]backup-simplify: Simplify (/ (sqrt 2) 1) into (sqrt 2) 1537029911.323 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1537029911.323 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1537029911.323 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1537029911.324 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1537029911.324 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1537029911.324 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)))) into 0 1537029911.324 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029911.325 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 1537029911.325 * [misc]backup-simplify: Simplify (- 0) into 0 1537029911.325 * [misc]backup-simplify: Simplify 0 into 0 1537029911.326 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1537029911.327 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1537029911.327 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029911.327 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 1537029911.327 * [misc]backup-simplify: Simplify (- 0) into 0 1537029911.327 * [misc]backup-simplify: Simplify 0 into 0 1537029911.328 * [misc]backup-simplify: Simplify (* (- (* +nan.0 (sqrt 2))) (* (/ 1 (/ 1 n)) (/ 1 k))) into (* +nan.0 (/ (* (sqrt 2) n) k)) 1537029911.328 * [misc]backup-simplify: Simplify (/ 1 (/ (/ (sqrt (/ 1 (- k))) 1) (sqrt (* 2 (/ 1 (- n)))))) into (/ (sqrt (/ -2 n)) (sqrt (/ -1 k))) 1537029911.328 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -2 n)) (sqrt (/ -1 k))) in (k n) around 0 1537029911.328 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -2 n)) (sqrt (/ -1 k))) in n 1537029911.328 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in n 1537029911.328 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1537029911.328 * [misc]taylor: Taking taylor expansion of -2 in n 1537029911.329 * [misc]backup-simplify: Simplify -2 into -2 1537029911.329 * [misc]taylor: Taking taylor expansion of n in n 1537029911.329 * [misc]backup-simplify: Simplify 0 into 0 1537029911.329 * [misc]backup-simplify: Simplify 1 into 1 1537029911.329 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1537029911.329 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537029911.329 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt 0))) into +nan.0 1537029911.329 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1537029911.329 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1537029911.329 * [misc]taylor: Taking taylor expansion of -1 in n 1537029911.329 * [misc]backup-simplify: Simplify -1 into -1 1537029911.330 * [misc]taylor: Taking taylor expansion of k in n 1537029911.330 * [misc]backup-simplify: Simplify k into k 1537029911.330 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1537029911.330 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1537029911.330 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1537029911.330 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1537029911.330 * [misc]backup-simplify: Simplify (/ +nan.0 (sqrt (/ -1 k))) into (/ +nan.0 (sqrt (/ -1 k))) 1537029911.330 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -2 n)) (sqrt (/ -1 k))) in k 1537029911.330 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in k 1537029911.330 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1537029911.330 * [misc]taylor: Taking taylor expansion of -2 in k 1537029911.330 * [misc]backup-simplify: Simplify -2 into -2 1537029911.330 * [misc]taylor: Taking taylor expansion of n in k 1537029911.330 * [misc]backup-simplify: Simplify n into n 1537029911.330 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1537029911.330 * [misc]backup-simplify: Simplify (sqrt (/ -2 n)) into (sqrt (/ -2 n)) 1537029911.331 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ -2 n) (/ 0 n)))) into 0 1537029911.331 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -2 n)))) into 0 1537029911.331 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1537029911.331 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1537029911.331 * [misc]taylor: Taking taylor expansion of -1 in k 1537029911.331 * [misc]backup-simplify: Simplify -1 into -1 1537029911.331 * [misc]taylor: Taking taylor expansion of k in k 1537029911.331 * [misc]backup-simplify: Simplify 0 into 0 1537029911.331 * [misc]backup-simplify: Simplify 1 into 1 1537029911.331 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1537029911.331 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537029911.332 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1537029911.332 * [misc]backup-simplify: Simplify (/ (sqrt (/ -2 n)) +nan.0) into (* +nan.0 (sqrt (/ -2 n))) 1537029911.332 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -2 n)) (sqrt (/ -1 k))) in k 1537029911.332 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in k 1537029911.332 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1537029911.332 * [misc]taylor: Taking taylor expansion of -2 in k 1537029911.332 * [misc]backup-simplify: Simplify -2 into -2 1537029911.332 * [misc]taylor: Taking taylor expansion of n in k 1537029911.332 * [misc]backup-simplify: Simplify n into n 1537029911.332 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1537029911.332 * [misc]backup-simplify: Simplify (sqrt (/ -2 n)) into (sqrt (/ -2 n)) 1537029911.332 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ -2 n) (/ 0 n)))) into 0 1537029911.332 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -2 n)))) into 0 1537029911.332 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1537029911.332 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1537029911.332 * [misc]taylor: Taking taylor expansion of -1 in k 1537029911.332 * [misc]backup-simplify: Simplify -1 into -1 1537029911.332 * [misc]taylor: Taking taylor expansion of k in k 1537029911.332 * [misc]backup-simplify: Simplify 0 into 0 1537029911.332 * [misc]backup-simplify: Simplify 1 into 1 1537029911.333 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1537029911.333 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537029911.333 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1537029911.333 * [misc]backup-simplify: Simplify (/ (sqrt (/ -2 n)) +nan.0) into (* +nan.0 (sqrt (/ -2 n))) 1537029911.333 * [misc]taylor: Taking taylor expansion of (* +nan.0 (sqrt (/ -2 n))) in n 1537029911.333 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537029911.333 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537029911.333 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in n 1537029911.333 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1537029911.333 * [misc]taylor: Taking taylor expansion of -2 in n 1537029911.333 * [misc]backup-simplify: Simplify -2 into -2 1537029911.333 * [misc]taylor: Taking taylor expansion of n in n 1537029911.334 * [misc]backup-simplify: Simplify 0 into 0 1537029911.334 * [misc]backup-simplify: Simplify 1 into 1 1537029911.334 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1537029911.334 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537029911.334 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt 0))) into +nan.0 1537029911.335 * [misc]backup-simplify: Simplify (+ (* +nan.0 +nan.0) (* 0 0)) into (- +nan.0) 1537029911.335 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) 1537029911.335 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1537029911.336 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1537029911.337 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (sqrt (/ -2 n))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (sqrt (/ -2 n)))) 1537029911.337 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (sqrt (/ -2 n)))) in n 1537029911.337 * [misc]taylor: Taking taylor expansion of (* +nan.0 (sqrt (/ -2 n))) in n 1537029911.337 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537029911.337 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537029911.337 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in n 1537029911.337 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1537029911.337 * [misc]taylor: Taking taylor expansion of -2 in n 1537029911.337 * [misc]backup-simplify: Simplify -2 into -2 1537029911.337 * [misc]taylor: Taking taylor expansion of n in n 1537029911.337 * [misc]backup-simplify: Simplify 0 into 0 1537029911.337 * [misc]backup-simplify: Simplify 1 into 1 1537029911.337 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1537029911.337 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537029911.338 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt 0))) into +nan.0 1537029911.338 * [misc]backup-simplify: Simplify (+ (* +nan.0 +nan.0) (* 0 0)) into (- +nan.0) 1537029911.339 * [misc]backup-simplify: Simplify (- (- +nan.0)) into (- +nan.0) 1537029911.339 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) 1537029911.339 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1537029911.340 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1537029911.341 * [misc]backup-simplify: Simplify (+ (* +nan.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 1537029911.341 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) 1537029911.342 * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (* (/ 1 (- n)) 1)) (+ (* (- +nan.0) (* 1 (/ 1 (- k)))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 k)) (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))))) 1537029911.342 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1 1) 1537029911.342 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1537029911.342 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1537029911.342 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537029911.342 * [misc]taylor: Taking taylor expansion of 2 in n 1537029911.342 * [misc]backup-simplify: Simplify 2 into 2 1537029911.342 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537029911.342 * [misc]taylor: Taking taylor expansion of n in n 1537029911.342 * [misc]backup-simplify: Simplify 0 into 0 1537029911.342 * [misc]backup-simplify: Simplify 1 into 1 1537029911.342 * [misc]taylor: Taking taylor expansion of PI in n 1537029911.343 * [misc]backup-simplify: Simplify PI into PI 1537029911.343 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537029911.343 * [misc]taylor: Taking taylor expansion of 2 in n 1537029911.343 * [misc]backup-simplify: Simplify 2 into 2 1537029911.343 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537029911.343 * [misc]taylor: Taking taylor expansion of n in n 1537029911.343 * [misc]backup-simplify: Simplify 0 into 0 1537029911.343 * [misc]backup-simplify: Simplify 1 into 1 1537029911.343 * [misc]taylor: Taking taylor expansion of PI in n 1537029911.343 * [misc]backup-simplify: Simplify PI into PI 1537029911.343 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537029911.343 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537029911.343 * [misc]backup-simplify: Simplify 0 into 0 1537029911.344 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537029911.345 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537029911.345 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537029911.346 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1537029911.347 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1537029911.347 * [misc]backup-simplify: Simplify 0 into 0 1537029911.349 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1537029911.350 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1537029911.350 * [misc]backup-simplify: Simplify 0 into 0 1537029911.353 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537029911.355 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1537029911.355 * [misc]backup-simplify: Simplify 0 into 0 1537029911.358 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537029911.361 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1537029911.361 * [misc]backup-simplify: Simplify 0 into 0 1537029911.364 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537029911.368 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1537029911.368 * [misc]backup-simplify: Simplify 0 into 0 1537029911.372 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1537029911.376 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1537029911.376 * [misc]backup-simplify: Simplify 0 into 0 1537029911.376 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1537029911.376 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1537029911.376 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1537029911.376 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537029911.376 * [misc]taylor: Taking taylor expansion of 2 in n 1537029911.376 * [misc]backup-simplify: Simplify 2 into 2 1537029911.376 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537029911.376 * [misc]taylor: Taking taylor expansion of PI in n 1537029911.377 * [misc]backup-simplify: Simplify PI into PI 1537029911.377 * [misc]taylor: Taking taylor expansion of n in n 1537029911.377 * [misc]backup-simplify: Simplify 0 into 0 1537029911.377 * [misc]backup-simplify: Simplify 1 into 1 1537029911.377 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537029911.377 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537029911.377 * [misc]taylor: Taking taylor expansion of 2 in n 1537029911.377 * [misc]backup-simplify: Simplify 2 into 2 1537029911.377 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537029911.377 * [misc]taylor: Taking taylor expansion of PI in n 1537029911.377 * [misc]backup-simplify: Simplify PI into PI 1537029911.377 * [misc]taylor: Taking taylor expansion of n in n 1537029911.377 * [misc]backup-simplify: Simplify 0 into 0 1537029911.377 * [misc]backup-simplify: Simplify 1 into 1 1537029911.378 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537029911.378 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537029911.378 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537029911.379 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537029911.380 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537029911.380 * [misc]backup-simplify: Simplify 0 into 0 1537029911.381 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029911.382 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1537029911.383 * [misc]backup-simplify: Simplify 0 into 0 1537029911.384 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029911.386 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537029911.386 * [misc]backup-simplify: Simplify 0 into 0 1537029911.388 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029911.390 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537029911.390 * [misc]backup-simplify: Simplify 0 into 0 1537029911.392 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029911.395 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537029911.395 * [misc]backup-simplify: Simplify 0 into 0 1537029911.397 * [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 1537029911.400 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537029911.401 * [misc]backup-simplify: Simplify 0 into 0 1537029911.401 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1537029911.401 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1537029911.401 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1537029911.401 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537029911.401 * [misc]taylor: Taking taylor expansion of -2 in n 1537029911.401 * [misc]backup-simplify: Simplify -2 into -2 1537029911.401 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537029911.401 * [misc]taylor: Taking taylor expansion of PI in n 1537029911.401 * [misc]backup-simplify: Simplify PI into PI 1537029911.401 * [misc]taylor: Taking taylor expansion of n in n 1537029911.401 * [misc]backup-simplify: Simplify 0 into 0 1537029911.401 * [misc]backup-simplify: Simplify 1 into 1 1537029911.402 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537029911.402 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537029911.402 * [misc]taylor: Taking taylor expansion of -2 in n 1537029911.402 * [misc]backup-simplify: Simplify -2 into -2 1537029911.402 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537029911.402 * [misc]taylor: Taking taylor expansion of PI in n 1537029911.402 * [misc]backup-simplify: Simplify PI into PI 1537029911.402 * [misc]taylor: Taking taylor expansion of n in n 1537029911.402 * [misc]backup-simplify: Simplify 0 into 0 1537029911.402 * [misc]backup-simplify: Simplify 1 into 1 1537029911.403 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537029911.403 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537029911.403 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537029911.405 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537029911.405 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537029911.405 * [misc]backup-simplify: Simplify 0 into 0 1537029911.407 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029911.408 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1537029911.408 * [misc]backup-simplify: Simplify 0 into 0 1537029911.409 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029911.411 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537029911.411 * [misc]backup-simplify: Simplify 0 into 0 1537029911.413 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029911.415 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537029911.415 * [misc]backup-simplify: Simplify 0 into 0 1537029911.418 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537029911.421 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537029911.421 * [misc]backup-simplify: Simplify 0 into 0 1537029911.423 * [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 1537029911.426 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537029911.426 * [misc]backup-simplify: Simplify 0 into 0 1537029911.427 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1537029911.427 * * * [misc]progress: simplifying candidates 1537029911.427 * * * * [misc]progress: [ 1 / 107 ] simplifiying candidate # 1537029911.427 * * * * [misc]progress: [ 2 / 107 ] simplifiying candidate # 1537029911.427 * * * * [misc]progress: [ 3 / 107 ] simplifiying candidate # 1537029911.427 * * * * [misc]progress: [ 4 / 107 ] simplifiying candidate # 1537029911.427 * * * * [misc]progress: [ 5 / 107 ] simplifiying candidate # 1537029911.427 * * * * [misc]progress: [ 6 / 107 ] simplifiying candidate # 1537029911.427 * * * * [misc]progress: [ 7 / 107 ] simplifiying candidate # 1537029911.427 * * * * [misc]progress: [ 8 / 107 ] simplifiying candidate # 1537029911.427 * * * * [misc]progress: [ 9 / 107 ] simplifiying candidate # 1537029911.428 * * * * [misc]progress: [ 10 / 107 ] simplifiying candidate # 1537029911.428 * * * * [misc]progress: [ 11 / 107 ] simplifiying candidate # 1537029911.428 * * * * [misc]progress: [ 12 / 107 ] simplifiying candidate # 1537029911.428 * * * * [misc]progress: [ 13 / 107 ] simplifiying candidate # 1537029911.428 * * * * [misc]progress: [ 14 / 107 ] simplifiying candidate # 1537029911.428 * [enter]simplify: Simplifying (- (log (/ (sqrt k) 1)) (log (sqrt (* 2 n)))) 1537029911.429 * * [misc]simplify: iters left: 6 (11 enodes) 1537029911.435 * * [misc]simplify: iters left: 5 (19 enodes) 1537029911.441 * * [misc]simplify: iters left: 4 (24 enodes) 1537029911.447 * * [misc]simplify: iters left: 3 (29 enodes) 1537029911.461 * * [misc]simplify: iters left: 2 (39 enodes) 1537029911.470 * * [misc]simplify: iters left: 1 (45 enodes) 1537029911.485 * [exit]simplify: Simplified to (- (log (sqrt k)) (log (sqrt (* 2 n)))) 1537029911.485 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (/ 1 (exp (- (log (sqrt k)) (log (sqrt (* 2 n)))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537029911.485 * * * * [misc]progress: [ 15 / 107 ] simplifiying candidate # 1537029911.486 * * * * [misc]progress: [ 16 / 107 ] simplifiying candidate # 1537029911.486 * * * * [misc]progress: [ 17 / 107 ] simplifiying candidate # 1537029911.486 * [enter]simplify: Simplifying (/ (* (* (/ (sqrt k) 1) (/ (sqrt k) 1)) (/ (sqrt k) 1)) (* (* (sqrt (* 2 n)) (sqrt (* 2 n))) (sqrt (* 2 n)))) 1537029911.487 * * [misc]simplify: iters left: 6 (13 enodes) 1537029911.494 * * [misc]simplify: iters left: 5 (31 enodes) 1537029911.518 * * [misc]simplify: iters left: 4 (103 enodes) 1537029911.601 * * [misc]simplify: iters left: 3 (268 enodes) 1537029911.873 * [exit]simplify: Simplified to (* k (/ (/ (sqrt k) (* n 2)) (sqrt (* n 2)))) 1537029911.873 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (/ 1 (cbrt (* k (/ (/ (sqrt k) (* n 2)) (sqrt (* n 2)))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537029911.873 * * * * [misc]progress: [ 18 / 107 ] simplifiying candidate # 1537029911.873 * * * * [misc]progress: [ 19 / 107 ] simplifiying candidate # 1537029911.873 * * * * [misc]progress: [ 20 / 107 ] simplifiying candidate # 1537029911.873 * * * * [misc]progress: [ 21 / 107 ] simplifiying candidate # 1537029911.873 * * * * [misc]progress: [ 22 / 107 ] simplifiying candidate # 1537029911.874 * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt k) 1)) (cbrt (/ (sqrt k) 1))) (* (cbrt (sqrt (* 2 n))) (cbrt (sqrt (* 2 n))))) 1537029911.875 * * [misc]simplify: iters left: 6 (13 enodes) 1537029911.881 * * [misc]simplify: iters left: 5 (22 enodes) 1537029911.889 * * [misc]simplify: iters left: 4 (33 enodes) 1537029911.898 * * [misc]simplify: iters left: 3 (36 enodes) 1537029911.913 * * [misc]simplify: iters left: 2 (39 enodes) 1537029911.928 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (sqrt (* n 2)))) (/ (cbrt (sqrt k)) (cbrt (sqrt (* n 2))))) 1537029911.928 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (/ 1 (* (* (/ (cbrt (sqrt k)) (cbrt (sqrt (* n 2)))) (/ (cbrt (sqrt k)) (cbrt (sqrt (* n 2))))) (/ (cbrt (/ (sqrt k) 1)) (cbrt (sqrt (* 2 n)))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537029911.928 * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt k) 1)) (cbrt (sqrt (* 2 n)))) 1537029911.929 * * [misc]simplify: iters left: 6 (11 enodes) 1537029911.933 * * [misc]simplify: iters left: 5 (14 enodes) 1537029911.939 * * [misc]simplify: iters left: 4 (16 enodes) 1537029911.943 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (sqrt (* 2 n)))) 1537029911.944 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (/ 1 (* (* (/ (cbrt (sqrt k)) (cbrt (sqrt (* n 2)))) (/ (cbrt (sqrt k)) (cbrt (sqrt (* n 2))))) (/ (cbrt (sqrt k)) (cbrt (sqrt (* 2 n)))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537029911.944 * * * * [misc]progress: [ 23 / 107 ] simplifiying candidate # 1537029911.944 * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt k) 1)) (cbrt (/ (sqrt k) 1))) (sqrt 2)) 1537029911.945 * * [misc]simplify: iters left: 6 (9 enodes) 1537029911.950 * * [misc]simplify: iters left: 5 (13 enodes) 1537029911.956 * * [misc]simplify: iters left: 4 (17 enodes) 1537029911.961 * * [misc]simplify: iters left: 3 (18 enodes) 1537029911.968 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (/ (cbrt (sqrt k)) (sqrt 2))) 1537029911.968 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (/ 1 (* (* (cbrt (sqrt k)) (/ (cbrt (sqrt k)) (sqrt 2))) (/ (cbrt (/ (sqrt k) 1)) (sqrt n)))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537029911.968 * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt k) 1)) (sqrt n)) 1537029911.969 * * [misc]simplify: iters left: 6 (8 enodes) 1537029911.972 * * [misc]simplify: iters left: 5 (10 enodes) 1537029911.976 * * [misc]simplify: iters left: 4 (12 enodes) 1537029911.979 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt n)) 1537029911.979 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (/ 1 (* (* (cbrt (sqrt k)) (/ (cbrt (sqrt k)) (sqrt 2))) (/ (cbrt (sqrt k)) (sqrt n)))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537029911.979 * * * * [misc]progress: [ 24 / 107 ] simplifiying candidate # 1537029911.980 * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt k) 1)) (cbrt (/ (sqrt k) 1))) (sqrt (sqrt (* 2 n)))) 1537029911.981 * * [misc]simplify: iters left: 6 (12 enodes) 1537029911.985 * * [misc]simplify: iters left: 5 (17 enodes) 1537029911.991 * * [misc]simplify: iters left: 4 (21 enodes) 1537029911.996 * * [misc]simplify: iters left: 3 (22 enodes) 1537029912.003 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (* n 2)))) 1537029912.003 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (* n 2)))) (/ (cbrt (/ (sqrt k) 1)) (sqrt (sqrt (* 2 n)))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537029912.003 * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt k) 1)) (sqrt (sqrt (* 2 n)))) 1537029912.004 * * [misc]simplify: iters left: 6 (11 enodes) 1537029912.008 * * [misc]simplify: iters left: 5 (14 enodes) 1537029912.013 * * [misc]simplify: iters left: 4 (16 enodes) 1537029912.017 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (sqrt (* 2 n)))) 1537029912.017 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (* n 2)))) (/ (cbrt (sqrt k)) (sqrt (sqrt (* 2 n)))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537029912.017 * * * * [misc]progress: [ 25 / 107 ] simplifiying candidate # 1537029912.017 * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt k) 1)) (cbrt (/ (sqrt k) 1))) 1) 1537029912.018 * * [misc]simplify: iters left: 6 (7 enodes) 1537029912.020 * * [misc]simplify: iters left: 5 (11 enodes) 1537029912.023 * * [misc]simplify: iters left: 4 (18 enodes) 1537029912.027 * * [misc]simplify: iters left: 3 (32 enodes) 1537029912.036 * * [misc]simplify: iters left: 2 (58 enodes) 1537029912.044 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1537029912.044 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (/ (sqrt k) 1)) (sqrt (* 2 n))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537029912.044 * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt k) 1)) (sqrt (* 2 n))) 1537029912.045 * * [misc]simplify: iters left: 6 (10 enodes) 1537029912.047 * * [misc]simplify: iters left: 5 (13 enodes) 1537029912.049 * * [misc]simplify: iters left: 4 (15 enodes) 1537029912.051 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (* 2 n))) 1537029912.051 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (* 2 n))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537029912.051 * * * * [misc]progress: [ 26 / 107 ] simplifiying candidate # 1537029912.052 * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt k) 1)) (* (cbrt (sqrt (* 2 n))) (cbrt (sqrt (* 2 n))))) 1537029912.052 * * [misc]simplify: iters left: 6 (12 enodes) 1537029912.055 * * [misc]simplify: iters left: 5 (17 enodes) 1537029912.058 * * [misc]simplify: iters left: 4 (19 enodes) 1537029912.061 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (cbrt (sqrt (* 2 n)))) (cbrt (sqrt (* 2 n)))) 1537029912.061 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (/ 1 (* (/ (/ (sqrt (sqrt k)) (cbrt (sqrt (* 2 n)))) (cbrt (sqrt (* 2 n)))) (/ (sqrt (/ (sqrt k) 1)) (cbrt (sqrt (* 2 n)))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537029912.061 * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt k) 1)) (cbrt (sqrt (* 2 n)))) 1537029912.062 * * [misc]simplify: iters left: 6 (11 enodes) 1537029912.064 * * [misc]simplify: iters left: 5 (14 enodes) 1537029912.066 * * [misc]simplify: iters left: 4 (16 enodes) 1537029912.068 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (sqrt (* 2 n)))) 1537029912.069 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (/ 1 (* (/ (/ (sqrt (sqrt k)) (cbrt (sqrt (* 2 n)))) (cbrt (sqrt (* 2 n)))) (/ (sqrt (sqrt k)) (cbrt (sqrt (* 2 n)))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537029912.069 * * * * [misc]progress: [ 27 / 107 ] simplifiying candidate # 1537029912.069 * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt k) 1)) (sqrt 2)) 1537029912.069 * * [misc]simplify: iters left: 6 (8 enodes) 1537029912.071 * * [misc]simplify: iters left: 5 (10 enodes) 1537029912.076 * * [misc]simplify: iters left: 4 (12 enodes) 1537029912.080 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt 2)) 1537029912.080 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (/ 1 (* (/ (sqrt (sqrt k)) (sqrt 2)) (/ (sqrt (/ (sqrt k) 1)) (sqrt n)))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537029912.080 * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt k) 1)) (sqrt n)) 1537029912.081 * * [misc]simplify: iters left: 6 (8 enodes) 1537029912.084 * * [misc]simplify: iters left: 5 (10 enodes) 1537029912.088 * * [misc]simplify: iters left: 4 (12 enodes) 1537029912.091 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt n)) 1537029912.091 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (/ 1 (* (/ (sqrt (sqrt k)) (sqrt 2)) (/ (sqrt (sqrt k)) (sqrt n)))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537029912.091 * * * * [misc]progress: [ 28 / 107 ] simplifiying candidate # 1537029912.092 * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt k) 1)) (sqrt (sqrt (* 2 n)))) 1537029912.093 * * [misc]simplify: iters left: 6 (11 enodes) 1537029912.097 * * [misc]simplify: iters left: 5 (14 enodes) 1537029912.101 * * [misc]simplify: iters left: 4 (16 enodes) 1537029912.103 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (sqrt (* 2 n)))) 1537029912.103 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (sqrt (* 2 n)))) (/ (sqrt (/ (sqrt k) 1)) (sqrt (sqrt (* 2 n)))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537029912.103 * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt k) 1)) (sqrt (sqrt (* 2 n)))) 1537029912.104 * * [misc]simplify: iters left: 6 (11 enodes) 1537029912.106 * * [misc]simplify: iters left: 5 (14 enodes) 1537029912.108 * * [misc]simplify: iters left: 4 (16 enodes) 1537029912.111 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (sqrt (* 2 n)))) 1537029912.111 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (sqrt (* 2 n)))) (/ (sqrt (sqrt k)) (sqrt (sqrt (* 2 n)))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537029912.111 * * * * [misc]progress: [ 29 / 107 ] simplifiying candidate # 1537029912.111 * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt k) 1)) 1) 1537029912.111 * * [misc]simplify: iters left: 6 (6 enodes) 1537029912.112 * * [misc]simplify: iters left: 5 (8 enodes) 1537029912.114 * * [misc]simplify: iters left: 4 (11 enodes) 1537029912.115 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1537029912.115 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (/ (sqrt k) 1)) (sqrt (* 2 n))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537029912.116 * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt k) 1)) (sqrt (* 2 n))) 1537029912.116 * * [misc]simplify: iters left: 6 (10 enodes) 1537029912.118 * * [misc]simplify: iters left: 5 (13 enodes) 1537029912.120 * * [misc]simplify: iters left: 4 (15 enodes) 1537029912.125 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* 2 n))) 1537029912.125 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (sqrt (* 2 n))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537029912.125 * * * * [misc]progress: [ 30 / 107 ] simplifiying candidate # 1537029912.125 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt (* 2 n))) (cbrt (sqrt (* 2 n))))) 1537029912.125 * * [misc]simplify: iters left: 6 (8 enodes) 1537029912.127 * * [misc]simplify: iters left: 5 (13 enodes) 1537029912.130 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (* n 2))) (cbrt (sqrt (* n 2))))) 1537029912.130 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (/ 1 (* (/ 1 (* (cbrt (sqrt (* n 2))) (cbrt (sqrt (* n 2))))) (/ (/ (sqrt k) 1) (cbrt (sqrt (* 2 n)))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537029912.130 * [enter]simplify: Simplifying (/ (/ (sqrt k) 1) (cbrt (sqrt (* 2 n)))) 1537029912.130 * * [misc]simplify: iters left: 6 (10 enodes) 1537029912.133 * * [misc]simplify: iters left: 5 (15 enodes) 1537029912.139 * * [misc]simplify: iters left: 4 (20 enodes) 1537029912.144 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (sqrt (* 2 n)))) 1537029912.144 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (/ 1 (* (/ 1 (* (cbrt (sqrt (* 2 n))) (cbrt (sqrt (* 2 n))))) (/ (sqrt k) (cbrt (sqrt (* 2 n)))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537029912.144 * * * * [misc]progress: [ 31 / 107 ] simplifiying candidate # 1537029912.144 * [enter]simplify: Simplifying (/ 1 (sqrt 2)) 1537029912.145 * * [misc]simplify: iters left: 3 (4 enodes) 1537029912.147 * * [misc]simplify: iters left: 2 (6 enodes) 1537029912.149 * [exit]simplify: Simplified to (/ 1 (sqrt 2)) 1537029912.149 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (/ 1 (* (/ 1 (sqrt 2)) (/ (/ (sqrt k) 1) (sqrt n)))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537029912.149 * [enter]simplify: Simplifying (/ (/ (sqrt k) 1) (sqrt n)) 1537029912.150 * * [misc]simplify: iters left: 5 (7 enodes) 1537029912.153 * * [misc]simplify: iters left: 4 (11 enodes) 1537029912.157 * * [misc]simplify: iters left: 3 (16 enodes) 1537029912.161 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt n)) 1537029912.161 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (/ 1 (* (/ 1 (sqrt 2)) (/ (sqrt k) (sqrt n)))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537029912.161 * * * * [misc]progress: [ 32 / 107 ] simplifiying candidate # 1537029912.161 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (* 2 n)))) 1537029912.162 * * [misc]simplify: iters left: 6 (7 enodes) 1537029912.164 * * [misc]simplify: iters left: 5 (10 enodes) 1537029912.168 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (* n 2)))) 1537029912.168 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (/ 1 (* (/ 1 (sqrt (sqrt (* n 2)))) (/ (/ (sqrt k) 1) (sqrt (sqrt (* 2 n)))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537029912.168 * [enter]simplify: Simplifying (/ (/ (sqrt k) 1) (sqrt (sqrt (* 2 n)))) 1537029912.169 * * [misc]simplify: iters left: 6 (10 enodes) 1537029912.173 * * [misc]simplify: iters left: 5 (15 enodes) 1537029912.178 * * [misc]simplify: iters left: 4 (20 enodes) 1537029912.183 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (sqrt (* 2 n)))) 1537029912.183 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (/ 1 (* (/ 1 (sqrt (sqrt (* 2 n)))) (/ (sqrt k) (sqrt (sqrt (* 2 n)))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537029912.183 * * * * [misc]progress: [ 33 / 107 ] simplifiying candidate # 1537029912.184 * [enter]simplify: Simplifying (/ 1 1) 1537029912.184 * * [misc]simplify: iters left: 2 (2 enodes) 1537029912.185 * * [misc]simplify: iters left: 1 (4 enodes) 1537029912.185 * [exit]simplify: Simplified to 1 1537029912.185 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (/ 1 (* 1 (/ (/ (sqrt k) 1) (sqrt (* 2 n))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537029912.186 * [enter]simplify: Simplifying (/ (/ (sqrt k) 1) (sqrt (* 2 n))) 1537029912.186 * * [misc]simplify: iters left: 5 (9 enodes) 1537029912.189 * * [misc]simplify: iters left: 4 (14 enodes) 1537029912.194 * * [misc]simplify: iters left: 3 (19 enodes) 1537029912.199 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (* 2 n))) 1537029912.199 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (/ 1 (* 1 (/ (sqrt k) (sqrt (* 2 n))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537029912.199 * * * * [misc]progress: [ 34 / 107 ] simplifiying candidate # 1537029912.199 * [enter]simplify: Simplifying (/ (sqrt k) (* (cbrt (sqrt (* 2 n))) (cbrt (sqrt (* 2 n))))) 1537029912.200 * * [misc]simplify: iters left: 6 (9 enodes) 1537029912.203 * * [misc]simplify: iters left: 5 (12 enodes) 1537029912.208 * [exit]simplify: Simplified to (/ (/ (sqrt k) (cbrt (sqrt (* 2 n)))) (cbrt (sqrt (* 2 n)))) 1537029912.208 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (/ 1 (* (/ (/ (sqrt k) (cbrt (sqrt (* 2 n)))) (cbrt (sqrt (* 2 n)))) (/ (/ 1 1) (cbrt (sqrt (* 2 n)))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537029912.208 * [enter]simplify: Simplifying (/ (/ 1 1) (cbrt (sqrt (* 2 n)))) 1537029912.209 * * [misc]simplify: iters left: 6 (8 enodes) 1537029912.211 * * [misc]simplify: iters left: 5 (11 enodes) 1537029912.214 * [exit]simplify: Simplified to (/ 1 (cbrt (sqrt (* 2 n)))) 1537029912.214 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (/ 1 (* (/ (sqrt k) (* (cbrt (sqrt (* 2 n))) (cbrt (sqrt (* 2 n))))) (/ 1 (cbrt (sqrt (* 2 n)))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537029912.215 * * * * [misc]progress: [ 35 / 107 ] simplifiying candidate # 1537029912.215 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt 2)) 1537029912.215 * * [misc]simplify: iters left: 3 (5 enodes) 1537029912.218 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt 2)) 1537029912.218 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (/ 1 (* (/ (sqrt k) (sqrt 2)) (/ (/ 1 1) (sqrt n)))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537029912.218 * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt n)) 1537029912.218 * * [misc]simplify: iters left: 4 (5 enodes) 1537029912.220 * * [misc]simplify: iters left: 3 (7 enodes) 1537029912.222 * [exit]simplify: Simplified to (/ 1 (sqrt n)) 1537029912.222 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (/ 1 (* (/ (sqrt k) (sqrt 2)) (/ 1 (sqrt n)))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537029912.222 * * * * [misc]progress: [ 36 / 107 ] simplifiying candidate # 1537029912.222 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (sqrt (* 2 n)))) 1537029912.222 * * [misc]simplify: iters left: 6 (8 enodes) 1537029912.225 * * [misc]simplify: iters left: 5 (9 enodes) 1537029912.228 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (sqrt (* 2 n)))) 1537029912.228 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (/ 1 (* (/ (sqrt k) (sqrt (sqrt (* 2 n)))) (/ (/ 1 1) (sqrt (sqrt (* 2 n)))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537029912.229 * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (sqrt (* 2 n)))) 1537029912.229 * * [misc]simplify: iters left: 6 (8 enodes) 1537029912.232 * * [misc]simplify: iters left: 5 (11 enodes) 1537029912.236 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (* 2 n)))) 1537029912.236 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (/ 1 (* (/ (sqrt k) (sqrt (sqrt (* 2 n)))) (/ 1 (sqrt (sqrt (* 2 n)))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537029912.236 * * * * [misc]progress: [ 37 / 107 ] simplifiying candidate # 1537029912.236 * [enter]simplify: Simplifying (/ (sqrt k) 1) 1537029912.237 * * [misc]simplify: iters left: 3 (4 enodes) 1537029912.238 * * [misc]simplify: iters left: 2 (6 enodes) 1537029912.241 * * [misc]simplify: iters left: 1 (8 enodes) 1537029912.243 * [exit]simplify: Simplified to (sqrt k) 1537029912.243 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (/ 1 (* (sqrt k) (/ (/ 1 1) (sqrt (* 2 n))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537029912.243 * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (* 2 n))) 1537029912.244 * * [misc]simplify: iters left: 5 (7 enodes) 1537029912.250 * * [misc]simplify: iters left: 4 (10 enodes) 1537029912.253 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1537029912.253 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (/ 1 (* (sqrt k) (/ 1 (sqrt (* 2 n))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537029912.253 * * * * [misc]progress: [ 38 / 107 ] simplifiying candidate # 1537029912.253 * * * * [misc]progress: [ 39 / 107 ] simplifiying candidate # 1537029912.253 * * * * [misc]progress: [ 40 / 107 ] simplifiying candidate # 1537029912.254 * * * * [misc]progress: [ 41 / 107 ] simplifiying candidate # 1537029912.254 * [enter]simplify: Simplifying (cbrt (sqrt (* 2 n))) 1537029912.254 * * [misc]simplify: iters left: 4 (5 enodes) 1537029912.256 * * [misc]simplify: iters left: 3 (6 enodes) 1537029912.258 * [exit]simplify: Simplified to (cbrt (sqrt (* 2 n))) 1537029912.259 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (/ 1 (/ (/ (/ (sqrt k) 1) (* (cbrt (sqrt (* 2 n))) (cbrt (sqrt (* 2 n))))) (cbrt (sqrt (* 2 n))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537029912.259 * * * * [misc]progress: [ 42 / 107 ] simplifiying candidate # 1537029912.259 * [enter]simplify: Simplifying (sqrt n) 1537029912.259 * * [misc]simplify: iters left: 1 (2 enodes) 1537029912.260 * [exit]simplify: Simplified to (sqrt n) 1537029912.260 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (/ 1 (/ (/ (/ (sqrt k) 1) (sqrt 2)) (sqrt n))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537029912.260 * * * * [misc]progress: [ 43 / 107 ] simplifiying candidate # 1537029912.261 * [enter]simplify: Simplifying (sqrt (sqrt (* 2 n))) 1537029912.261 * * [misc]simplify: iters left: 4 (5 enodes) 1537029912.263 * * [misc]simplify: iters left: 3 (6 enodes) 1537029912.264 * [exit]simplify: Simplified to (sqrt (sqrt (* 2 n))) 1537029912.264 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (/ 1 (/ (/ (/ (sqrt k) 1) (sqrt (sqrt (* 2 n)))) (sqrt (sqrt (* 2 n))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537029912.264 * * * * [misc]progress: [ 44 / 107 ] simplifiying candidate # 1537029912.264 * [enter]simplify: Simplifying (sqrt (* 2 n)) 1537029912.264 * * [misc]simplify: iters left: 3 (4 enodes) 1537029912.265 * * [misc]simplify: iters left: 2 (5 enodes) 1537029912.266 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1537029912.266 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (/ 1 (/ (/ (/ (sqrt k) 1) 1) (sqrt (* 2 n)))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537029912.266 * * * * [misc]progress: [ 45 / 107 ] simplifiying candidate # 1537029912.266 * [enter]simplify: Simplifying (* (cbrt (/ (sqrt k) 1)) (cbrt (/ (sqrt k) 1))) 1537029912.267 * * [misc]simplify: iters left: 6 (6 enodes) 1537029912.268 * * [misc]simplify: iters left: 5 (8 enodes) 1537029912.270 * * [misc]simplify: iters left: 4 (10 enodes) 1537029912.271 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1537029912.271 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (sqrt (* 2 n)) (cbrt (/ (sqrt k) 1))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537029912.271 * * * * [misc]progress: [ 46 / 107 ] simplifiying candidate # 1537029912.271 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) 1)) 1537029912.271 * * [misc]simplify: iters left: 4 (5 enodes) 1537029912.272 * * [misc]simplify: iters left: 3 (7 enodes) 1537029912.274 * * [misc]simplify: iters left: 2 (9 enodes) 1537029912.275 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1537029912.275 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (/ (sqrt (* 2 n)) (sqrt (/ (sqrt k) 1))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537029912.275 * * * * [misc]progress: [ 47 / 107 ] simplifiying candidate # 1537029912.275 * * * * [misc]progress: [ 48 / 107 ] simplifiying candidate # 1537029912.275 * [enter]simplify: Simplifying (sqrt k) 1537029912.275 * * [misc]simplify: iters left: 1 (2 enodes) 1537029912.276 * [exit]simplify: Simplified to (sqrt k) 1537029912.276 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (/ 1 (/ (sqrt k) (/ (sqrt (* 2 n)) (/ 1 1)))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537029912.276 * * * * [misc]progress: [ 49 / 107 ] simplifiying candidate # 1537029912.276 * [enter]simplify: Simplifying (sqrt k) 1537029912.276 * * [misc]simplify: iters left: 1 (2 enodes) 1537029912.276 * [exit]simplify: Simplified to (sqrt k) 1537029912.276 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (/ 1 (/ (sqrt k) (* (sqrt (* 2 n)) 1))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537029912.276 * * * * [misc]progress: [ 50 / 107 ] simplifiying candidate # 1537029912.276 * * * * [misc]progress: [ 51 / 107 ] simplifiying candidate # 1537029912.276 * * * * [misc]progress: [ 52 / 107 ] simplifiying candidate # 1537029912.277 * * * * [misc]progress: [ 53 / 107 ] simplifiying candidate # 1537029912.277 * [enter]simplify: Simplifying (- 1) 1537029912.277 * * [misc]simplify: iters left: 2 (2 enodes) 1537029912.278 * * [misc]simplify: iters left: 1 (5 enodes) 1537029912.278 * [exit]simplify: Simplified to -1 1537029912.278 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (/ (/ (sqrt k) 1) (sqrt (* 2 n))) -1) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537029912.278 * * * * [misc]progress: [ 54 / 107 ] simplifiying candidate # 1537029912.278 * * * * [misc]progress: [ 55 / 107 ] simplifiying candidate # 1537029912.279 * * * * [misc]progress: [ 56 / 107 ] simplifiying candidate # 1537029912.279 * * * * [misc]progress: [ 57 / 107 ] simplifiying candidate # 1537029912.279 * * * * [misc]progress: [ 58 / 107 ] simplifiying candidate # 1537029912.279 * * * * [misc]progress: [ 59 / 107 ] simplifiying candidate # 1537029912.279 * * * * [misc]progress: [ 60 / 107 ] simplifiying candidate # 1537029912.279 * * * * [misc]progress: [ 61 / 107 ] simplifiying candidate # 1537029912.279 * * * * [misc]progress: [ 62 / 107 ] simplifiying candidate # 1537029912.279 * * * * [misc]progress: [ 63 / 107 ] simplifiying candidate # 1537029912.279 * * * * [misc]progress: [ 64 / 107 ] simplifiying candidate # 1537029912.279 * * * * [misc]progress: [ 65 / 107 ] simplifiying candidate # 1537029912.279 * * * * [misc]progress: [ 66 / 107 ] simplifiying candidate # 1537029912.279 * [enter]simplify: Simplifying (cbrt (/ (/ (sqrt k) 1) (sqrt (* 2 n)))) 1537029912.280 * * [misc]simplify: iters left: 6 (10 enodes) 1537029912.282 * * [misc]simplify: iters left: 5 (15 enodes) 1537029912.285 * * [misc]simplify: iters left: 4 (20 enodes) 1537029912.287 * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (sqrt (* 2 n)))) 1537029912.288 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ 1 (* (cbrt (/ (/ (sqrt k) 1) (sqrt (* 2 n)))) (cbrt (/ (/ (sqrt k) 1) (sqrt (* 2 n)))))) (cbrt (/ (sqrt k) (sqrt (* 2 n))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537029912.288 * * * * [misc]progress: [ 67 / 107 ] simplifiying candidate # 1537029912.288 * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt k) 1) (sqrt (* 2 n)))) 1537029912.288 * * [misc]simplify: iters left: 6 (10 enodes) 1537029912.290 * * [misc]simplify: iters left: 5 (15 enodes) 1537029912.293 * * [misc]simplify: iters left: 4 (20 enodes) 1537029912.296 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (sqrt (* 2 n)))) 1537029912.296 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ 1 (sqrt (/ (/ (sqrt k) 1) (sqrt (* 2 n))))) (sqrt (/ (sqrt k) (sqrt (* 2 n))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537029912.296 * * * * [misc]progress: [ 68 / 107 ] simplifiying candidate # 1537029912.296 * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt k) 1)) (cbrt (sqrt (* 2 n)))) 1537029912.297 * * [misc]simplify: iters left: 6 (11 enodes) 1537029912.299 * * [misc]simplify: iters left: 5 (14 enodes) 1537029912.301 * * [misc]simplify: iters left: 4 (16 enodes) 1537029912.304 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (sqrt (* 2 n)))) 1537029912.304 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ 1 (/ (* (cbrt (/ (sqrt k) 1)) (cbrt (/ (sqrt k) 1))) (* (cbrt (sqrt (* 2 n))) (cbrt (sqrt (* 2 n)))))) (/ (cbrt (sqrt k)) (cbrt (sqrt (* 2 n))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537029912.304 * * * * [misc]progress: [ 69 / 107 ] simplifiying candidate # 1537029912.304 * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt k) 1)) (sqrt n)) 1537029912.304 * * [misc]simplify: iters left: 6 (8 enodes) 1537029912.306 * * [misc]simplify: iters left: 5 (10 enodes) 1537029912.308 * * [misc]simplify: iters left: 4 (12 enodes) 1537029912.309 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt n)) 1537029912.309 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ 1 (/ (* (cbrt (/ (sqrt k) 1)) (cbrt (/ (sqrt k) 1))) (sqrt 2))) (/ (cbrt (sqrt k)) (sqrt n))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537029912.309 * * * * [misc]progress: [ 70 / 107 ] simplifiying candidate # 1537029912.309 * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt k) 1)) (sqrt (sqrt (* 2 n)))) 1537029912.310 * * [misc]simplify: iters left: 6 (11 enodes) 1537029912.312 * * [misc]simplify: iters left: 5 (14 enodes) 1537029912.314 * * [misc]simplify: iters left: 4 (16 enodes) 1537029912.317 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (sqrt (* 2 n)))) 1537029912.317 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ 1 (/ (* (cbrt (/ (sqrt k) 1)) (cbrt (/ (sqrt k) 1))) (sqrt (sqrt (* 2 n))))) (/ (cbrt (sqrt k)) (sqrt (sqrt (* 2 n))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537029912.317 * * * * [misc]progress: [ 71 / 107 ] simplifiying candidate # 1537029912.317 * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt k) 1)) (sqrt (* 2 n))) 1537029912.317 * * [misc]simplify: iters left: 6 (10 enodes) 1537029912.319 * * [misc]simplify: iters left: 5 (13 enodes) 1537029912.322 * * [misc]simplify: iters left: 4 (15 enodes) 1537029912.324 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (* 2 n))) 1537029912.324 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ 1 (/ (* (cbrt (/ (sqrt k) 1)) (cbrt (/ (sqrt k) 1))) 1)) (/ (cbrt (sqrt k)) (sqrt (* 2 n)))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537029912.324 * * * * [misc]progress: [ 72 / 107 ] simplifiying candidate # 1537029912.324 * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt k) 1)) (cbrt (sqrt (* 2 n)))) 1537029912.324 * * [misc]simplify: iters left: 6 (11 enodes) 1537029912.326 * * [misc]simplify: iters left: 5 (14 enodes) 1537029912.329 * * [misc]simplify: iters left: 4 (16 enodes) 1537029912.333 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (sqrt (* 2 n)))) 1537029912.333 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ 1 (/ (sqrt (/ (sqrt k) 1)) (* (cbrt (sqrt (* 2 n))) (cbrt (sqrt (* 2 n)))))) (/ (sqrt (sqrt k)) (cbrt (sqrt (* 2 n))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537029912.333 * * * * [misc]progress: [ 73 / 107 ] simplifiying candidate # 1537029912.334 * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt k) 1)) (sqrt n)) 1537029912.334 * * [misc]simplify: iters left: 6 (8 enodes) 1537029912.335 * * [misc]simplify: iters left: 5 (10 enodes) 1537029912.338 * * [misc]simplify: iters left: 4 (12 enodes) 1537029912.339 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt n)) 1537029912.339 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ 1 (/ (sqrt (/ (sqrt k) 1)) (sqrt 2))) (/ (sqrt (sqrt k)) (sqrt n))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537029912.339 * * * * [misc]progress: [ 74 / 107 ] simplifiying candidate # 1537029912.339 * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt k) 1)) (sqrt (sqrt (* 2 n)))) 1537029912.340 * * [misc]simplify: iters left: 6 (11 enodes) 1537029912.342 * * [misc]simplify: iters left: 5 (14 enodes) 1537029912.345 * * [misc]simplify: iters left: 4 (16 enodes) 1537029912.347 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (sqrt (* 2 n)))) 1537029912.347 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ 1 (/ (sqrt (/ (sqrt k) 1)) (sqrt (sqrt (* 2 n))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (* 2 n))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537029912.347 * * * * [misc]progress: [ 75 / 107 ] simplifiying candidate # 1537029912.347 * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt k) 1)) (sqrt (* 2 n))) 1537029912.348 * * [misc]simplify: iters left: 6 (10 enodes) 1537029912.350 * * [misc]simplify: iters left: 5 (13 enodes) 1537029912.352 * * [misc]simplify: iters left: 4 (15 enodes) 1537029912.355 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* 2 n))) 1537029912.355 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ 1 (/ (sqrt (/ (sqrt k) 1)) 1)) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537029912.355 * * * * [misc]progress: [ 76 / 107 ] simplifiying candidate # 1537029912.355 * [enter]simplify: Simplifying (/ (/ (sqrt k) 1) (cbrt (sqrt (* 2 n)))) 1537029912.356 * * [misc]simplify: iters left: 6 (10 enodes) 1537029912.360 * * [misc]simplify: iters left: 5 (15 enodes) 1537029912.366 * * [misc]simplify: iters left: 4 (20 enodes) 1537029912.371 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (sqrt (* 2 n)))) 1537029912.372 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (* (cbrt (sqrt (* 2 n))) (cbrt (sqrt (* 2 n)))))) (/ (sqrt k) (cbrt (sqrt (* 2 n))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537029912.372 * * * * [misc]progress: [ 77 / 107 ] simplifiying candidate # 1537029912.372 * [enter]simplify: Simplifying (/ (/ (sqrt k) 1) (sqrt n)) 1537029912.373 * * [misc]simplify: iters left: 5 (7 enodes) 1537029912.376 * * [misc]simplify: iters left: 4 (11 enodes) 1537029912.381 * * [misc]simplify: iters left: 3 (16 enodes) 1537029912.385 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt n)) 1537029912.385 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (sqrt 2))) (/ (sqrt k) (sqrt n))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537029912.385 * * * * [misc]progress: [ 78 / 107 ] simplifiying candidate # 1537029912.385 * [enter]simplify: Simplifying (/ (/ (sqrt k) 1) (sqrt (sqrt (* 2 n)))) 1537029912.386 * * [misc]simplify: iters left: 6 (10 enodes) 1537029912.390 * * [misc]simplify: iters left: 5 (15 enodes) 1537029912.397 * * [misc]simplify: iters left: 4 (20 enodes) 1537029912.402 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (sqrt (* 2 n)))) 1537029912.403 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (sqrt (sqrt (* 2 n))))) (/ (sqrt k) (sqrt (sqrt (* 2 n))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537029912.403 * * * * [misc]progress: [ 79 / 107 ] simplifiying candidate # 1537029912.403 * [enter]simplify: Simplifying (/ (/ (sqrt k) 1) (sqrt (* 2 n))) 1537029912.404 * * [misc]simplify: iters left: 5 (9 enodes) 1537029912.407 * * [misc]simplify: iters left: 4 (14 enodes) 1537029912.413 * * [misc]simplify: iters left: 3 (19 enodes) 1537029912.418 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (* 2 n))) 1537029912.418 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ 1 (/ 1 1)) (/ (sqrt k) (sqrt (* 2 n)))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537029912.418 * * * * [misc]progress: [ 80 / 107 ] simplifiying candidate # 1537029912.418 * [enter]simplify: Simplifying (/ (/ 1 1) (cbrt (sqrt (* 2 n)))) 1537029912.419 * * [misc]simplify: iters left: 6 (8 enodes) 1537029912.422 * * [misc]simplify: iters left: 5 (11 enodes) 1537029912.425 * [exit]simplify: Simplified to (/ 1 (cbrt (sqrt (* 2 n)))) 1537029912.425 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ 1 (/ (sqrt k) (* (cbrt (sqrt (* 2 n))) (cbrt (sqrt (* 2 n)))))) (/ 1 (cbrt (sqrt (* 2 n))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537029912.425 * * * * [misc]progress: [ 81 / 107 ] simplifiying candidate # 1537029912.426 * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt n)) 1537029912.426 * * [misc]simplify: iters left: 4 (5 enodes) 1537029912.428 * * [misc]simplify: iters left: 3 (7 enodes) 1537029912.430 * [exit]simplify: Simplified to (/ 1 (sqrt n)) 1537029912.430 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ 1 (/ (sqrt k) (sqrt 2))) (/ 1 (sqrt n))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537029912.430 * * * * [misc]progress: [ 82 / 107 ] simplifiying candidate # 1537029912.430 * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (sqrt (* 2 n)))) 1537029912.431 * * [misc]simplify: iters left: 6 (8 enodes) 1537029912.434 * * [misc]simplify: iters left: 5 (11 enodes) 1537029912.437 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (* 2 n)))) 1537029912.437 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ 1 (/ (sqrt k) (sqrt (sqrt (* 2 n))))) (/ 1 (sqrt (sqrt (* 2 n))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537029912.437 * * * * [misc]progress: [ 83 / 107 ] simplifiying candidate # 1537029912.437 * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (* 2 n))) 1537029912.438 * * [misc]simplify: iters left: 5 (7 enodes) 1537029912.440 * * [misc]simplify: iters left: 4 (10 enodes) 1537029912.443 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1537029912.443 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ 1 (/ (sqrt k) 1)) (/ 1 (sqrt (* 2 n)))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537029912.443 * * * * [misc]progress: [ 84 / 107 ] simplifiying candidate # 1537029912.444 * [enter]simplify: Simplifying (/ (/ (sqrt k) 1) (sqrt (* 2 n))) 1537029912.445 * * [misc]simplify: iters left: 5 (9 enodes) 1537029912.449 * * [misc]simplify: iters left: 4 (14 enodes) 1537029912.457 * * [misc]simplify: iters left: 3 (19 enodes) 1537029912.462 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (* 2 n))) 1537029912.462 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ 1 1) (/ (sqrt k) (sqrt (* 2 n)))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537029912.462 * * * * [misc]progress: [ 85 / 107 ] simplifiying candidate # 1537029912.462 * [enter]simplify: Simplifying (/ 1 (sqrt (* 2 n))) 1537029912.463 * * [misc]simplify: iters left: 5 (6 enodes) 1537029912.465 * * [misc]simplify: iters left: 4 (9 enodes) 1537029912.467 * [exit]simplify: Simplified to (/ 1 (sqrt (* n 2))) 1537029912.468 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ 1 (/ (sqrt k) 1)) (/ 1 (sqrt (* n 2)))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537029912.468 * * * * [misc]progress: [ 86 / 107 ] simplifiying candidate # 1537029912.468 * [enter]simplify: Simplifying (sqrt (* 2 n)) 1537029912.468 * * [misc]simplify: iters left: 3 (4 enodes) 1537029912.470 * * [misc]simplify: iters left: 2 (5 enodes) 1537029912.471 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1537029912.471 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ 1 (/ (sqrt k) 1)) (sqrt (* 2 n))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537029912.471 * * * * [misc]progress: [ 87 / 107 ] simplifiying candidate # 1537029912.471 * * * * [misc]progress: [ 88 / 107 ] simplifiying candidate # 1537029912.471 * * * * [misc]progress: [ 89 / 107 ] simplifiying candidate # 1537029912.471 * * * * [misc]progress: [ 90 / 107 ] simplifiying candidate # 1537029912.471 * * * * [misc]progress: [ 91 / 107 ] simplifiying candidate # 1537029912.472 * * * * [misc]progress: [ 92 / 107 ] simplifiying candidate # 1537029912.472 * * * * [misc]progress: [ 93 / 107 ] simplifiying candidate # 1537029912.472 * * * * [misc]progress: [ 94 / 107 ] simplifiying candidate # 1537029912.472 * * * * [misc]progress: [ 95 / 107 ] simplifiying candidate # 1537029912.472 * * * * [misc]progress: [ 96 / 107 ] simplifiying candidate # 1537029912.472 * * * * [misc]progress: [ 97 / 107 ] simplifiying candidate # 1537029912.472 * * * * [misc]progress: [ 98 / 107 ] simplifiying candidate # 1537029912.472 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)) 1537029912.473 * * [misc]simplify: iters left: 6 (10 enodes) 1537029912.477 * * [misc]simplify: iters left: 5 (14 enodes) 1537029912.482 * * [misc]simplify: iters left: 4 (20 enodes) 1537029912.488 * * [misc]simplify: iters left: 3 (22 enodes) 1537029912.495 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (/ k 2)) (sqrt PI)) 1537029912.495 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (sqrt k) 1) (sqrt (* 2 n)))) (/ (pow (* (* 2 n) PI) (/ k 2)) (sqrt PI)))) 1537029912.495 * * * * [misc]progress: [ 99 / 107 ] simplifiying candidate # 1537029912.496 * [enter]simplify: Simplifying (* +nan.0 (/ k (* (sqrt 2) n))) 1537029912.496 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ 1 +nan.0) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537029912.496 * * * * [misc]progress: [ 100 / 107 ] simplifiying candidate # 1537029912.496 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 2) k)))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) n))) (- (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 3) (pow k 2)))))))))) 1537029912.496 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ 1 +nan.0) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537029912.496 * * * * [misc]progress: [ 101 / 107 ] simplifiying candidate # 1537029912.496 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 k)) (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))))) 1537029912.496 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ 1 +nan.0) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537029912.496 * * * * [misc]progress: [ 102 / 107 ] simplifiying candidate # 1537029912.497 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* (pow n 2) k))) (- (+ (* +nan.0 (* (sqrt 2) n)) (- (* +nan.0 (* (sqrt 2) (* (pow n 3) (pow k 2))))))))) 1537029912.497 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ +nan.0 (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537029912.497 * * * * [misc]progress: [ 103 / 107 ] simplifiying candidate # 1537029912.497 * [enter]simplify: Simplifying (* +nan.0 (/ (* (sqrt 2) n) k)) 1537029912.497 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ +nan.0 (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537029912.497 * * * * [misc]progress: [ 104 / 107 ] simplifiying candidate # 1537029912.497 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 k)) (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))))) 1537029912.497 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ +nan.0 (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537029912.497 * * * * [misc]progress: [ 105 / 107 ] simplifiying candidate # 1537029912.497 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537029912.498 * * [misc]simplify: iters left: 4 (5 enodes) 1537029912.501 * * [misc]simplify: iters left: 3 (9 enodes) 1537029912.504 * * [misc]simplify: iters left: 2 (15 enodes) 1537029912.509 * * [misc]simplify: iters left: 1 (17 enodes) 1537029912.515 * [exit]simplify: Simplified to (* (* PI n) 2) 1537029912.515 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (/ (/ 1 (/ (/ (sqrt k) 1) (sqrt (* 2 n)))) (/ (pow (* (* PI n) 2) (/ k 2)) (sqrt PI)))) 1537029912.515 * * * * [misc]progress: [ 106 / 107 ] simplifiying candidate # 1537029912.515 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537029912.515 * * [misc]simplify: iters left: 4 (5 enodes) 1537029912.518 * * [misc]simplify: iters left: 3 (9 enodes) 1537029912.520 * * [misc]simplify: iters left: 2 (15 enodes) 1537029912.523 * * [misc]simplify: iters left: 1 (17 enodes) 1537029912.526 * [exit]simplify: Simplified to (* (* PI n) 2) 1537029912.526 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (/ (/ 1 (/ (/ (sqrt k) 1) (sqrt (* 2 n)))) (/ (pow (* (* PI n) 2) (/ k 2)) (sqrt PI)))) 1537029912.526 * * * * [misc]progress: [ 107 / 107 ] simplifiying candidate # 1537029912.526 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537029912.526 * * [misc]simplify: iters left: 4 (5 enodes) 1537029912.528 * * [misc]simplify: iters left: 3 (9 enodes) 1537029912.530 * * [misc]simplify: iters left: 2 (15 enodes) 1537029912.532 * * [misc]simplify: iters left: 1 (17 enodes) 1537029912.535 * [exit]simplify: Simplified to (* (* PI n) 2) 1537029912.535 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (/ (/ 1 (/ (/ (sqrt k) 1) (sqrt (* 2 n)))) (/ (pow (* (* PI n) 2) (/ k 2)) (sqrt PI)))) 1537029912.535 * * * [misc]progress: adding candidates to table 1537029915.313 * [misc]progress: [Phase 3 of 3] Extracting. 1537029915.313 * * [misc]regime: Finding splitpoints for: (# # # # # # #) 1537029915.318 * * * [misc]regime-changes: Trying 2 branch expressions: (n k) 1537029915.318 * * * * [misc]regimes: Trying to branch on n from (# # # # # # #) 1537029915.434 * * * * [misc]regimes: Trying to branch on k from (# # # # # # #) 1537029915.555 * * * [misc]regime: Found split indices: #