1540341216.939 * [misc]progress: [Phase 1 of 3] Setting up. 1540341216.939 * * * [misc]progress: [1/2] Preparing points 1540341216.939 * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 1540341216.940 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision 1540341216.943 * * * * [misc]points: Setting MPFR precision to 64 1540341216.943 * * * * [misc]points: Setting MPFR precision to 320 1540341216.944 * * * * [misc]points: Setting MPFR precision to 576 1540341216.945 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision 1540341216.952 * * * * [misc]points: Setting MPFR precision to 320 1540341216.953 * * * * [misc]points: Setting MPFR precision to 576 1540341216.954 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision 1540341216.959 * * * * [misc]points: Setting MPFR precision to 320 1540341216.961 * * * * [misc]points: Setting MPFR precision to 576 1540341216.963 * * * * [misc]points: Setting MPFR precision to 832 1540341216.965 * * * * [misc]points: Setting MPFR precision to 1088 1540341216.967 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision 1540341216.983 * * * * [misc]points: Setting MPFR precision to 832 1540341216.990 * * * * [misc]points: Setting MPFR precision to 1088 1540341216.998 * * * * [misc]points: Setting MPFR precision to 1344 1540341217.006 * * * * [misc]points: Computing exacts for 256 points 1540341217.020 * * * * [misc]points: Setting MPFR precision to 1088 1540341217.040 * * * * [misc]points: Setting MPFR precision to 1344 1540341217.058 * * * * [misc]points: Filtering points with unrepresentable outputs 1540341217.058 * * * * [misc]points: Sampling 216 additional inputs, on iter 1 have 40 / 256 1540341217.060 * * * * [misc]points: Computing exacts on every 13 of 216 points to ramp up precision 1540341217.079 * * * * [misc]points: Setting MPFR precision to 1088 1540341217.081 * * * * [misc]points: Setting MPFR precision to 1344 1540341217.082 * * * * [misc]points: Computing exacts on every 6 of 216 points to ramp up precision 1540341217.100 * * * * [misc]points: Setting MPFR precision to 1088 1540341217.103 * * * * [misc]points: Setting MPFR precision to 1344 1540341217.106 * * * * [misc]points: Computing exacts on every 3 of 216 points to ramp up precision 1540341217.136 * * * * [misc]points: Setting MPFR precision to 1088 1540341217.140 * * * * [misc]points: Setting MPFR precision to 1344 1540341217.144 * * * * [misc]points: Computing exacts for 216 points 1540341217.153 * * * * [misc]points: Setting MPFR precision to 1088 1540341217.161 * * * * [misc]points: Setting MPFR precision to 1344 1540341217.170 * * * * [misc]points: Filtering points with unrepresentable outputs 1540341217.171 * * * * [misc]points: Sampling 178 additional inputs, on iter 2 have 78 / 256 1540341217.172 * * * * [misc]points: Computing exacts on every 11 of 178 points to ramp up precision 1540341217.203 * * * * [misc]points: Setting MPFR precision to 1088 1540341217.204 * * * * [misc]points: Setting MPFR precision to 1344 1540341217.205 * * * * [misc]points: Computing exacts on every 5 of 178 points to ramp up precision 1540341217.226 * * * * [misc]points: Setting MPFR precision to 1088 1540341217.229 * * * * [misc]points: Setting MPFR precision to 1344 1540341217.232 * * * * [misc]points: Computing exacts on every 2 of 178 points to ramp up precision 1540341217.250 * * * * [misc]points: Setting MPFR precision to 1088 1540341217.255 * * * * [misc]points: Setting MPFR precision to 1344 1540341217.260 * * * * [misc]points: Computing exacts for 178 points 1540341217.283 * * * * [misc]points: Setting MPFR precision to 1088 1540341217.291 * * * * [misc]points: Setting MPFR precision to 1344 1540341217.299 * * * * [misc]points: Filtering points with unrepresentable outputs 1540341217.299 * * * * [misc]points: Sampling 139 additional inputs, on iter 3 have 117 / 256 1540341217.300 * * * * [misc]points: Computing exacts on every 8 of 139 points to ramp up precision 1540341217.309 * * * * [misc]points: Setting MPFR precision to 1088 1540341217.309 * * * * [misc]points: Setting MPFR precision to 1344 1540341217.310 * * * * [misc]points: Computing exacts on every 4 of 139 points to ramp up precision 1540341217.329 * * * * [misc]points: Setting MPFR precision to 1088 1540341217.332 * * * * [misc]points: Setting MPFR precision to 1344 1540341217.334 * * * * [misc]points: Computing exacts on every 2 of 139 points to ramp up precision 1540341217.354 * * * * [misc]points: Setting MPFR precision to 1088 1540341217.359 * * * * [misc]points: Setting MPFR precision to 1344 1540341217.363 * * * * [misc]points: Computing exacts for 139 points 1540341217.382 * * * * [misc]points: Setting MPFR precision to 1088 1540341217.394 * * * * [misc]points: Setting MPFR precision to 1344 1540341217.407 * * * * [misc]points: Filtering points with unrepresentable outputs 1540341217.407 * * * * [misc]points: Sampling 112 additional inputs, on iter 4 have 144 / 256 1540341217.408 * * * * [misc]points: Computing exacts on every 7 of 112 points to ramp up precision 1540341217.438 * * * * [misc]points: Setting MPFR precision to 1088 1540341217.440 * * * * [misc]points: Setting MPFR precision to 1344 1540341217.441 * * * * [misc]points: Computing exacts on every 3 of 112 points to ramp up precision 1540341217.459 * * * * [misc]points: Setting MPFR precision to 1088 1540341217.462 * * * * [misc]points: Setting MPFR precision to 1344 1540341217.465 * * * * [misc]points: Computing exacts for 112 points 1540341217.477 * * * * [misc]points: Setting MPFR precision to 1088 1540341217.482 * * * * [misc]points: Setting MPFR precision to 1344 1540341217.493 * * * * [misc]points: Filtering points with unrepresentable outputs 1540341217.493 * * * * [misc]points: Sampling 96 additional inputs, on iter 5 have 160 / 256 1540341217.493 * * * * [misc]points: Computing exacts on every 6 of 96 points to ramp up precision 1540341217.503 * * * * [misc]points: Setting MPFR precision to 1088 1540341217.503 * * * * [misc]points: Setting MPFR precision to 1344 1540341217.504 * * * * [misc]points: Computing exacts on every 3 of 96 points to ramp up precision 1540341217.513 * * * * [misc]points: Setting MPFR precision to 1088 1540341217.514 * * * * [misc]points: Setting MPFR precision to 1344 1540341217.515 * * * * [misc]points: Computing exacts for 96 points 1540341217.528 * * * * [misc]points: Setting MPFR precision to 1088 1540341217.532 * * * * [misc]points: Setting MPFR precision to 1344 1540341217.536 * * * * [misc]points: Filtering points with unrepresentable outputs 1540341217.536 * * * * [misc]points: Sampling 74 additional inputs, on iter 6 have 182 / 256 1540341217.536 * * * * [misc]points: Computing exacts on every 4 of 74 points to ramp up precision 1540341217.545 * * * * [misc]points: Setting MPFR precision to 1088 1540341217.546 * * * * [misc]points: Setting MPFR precision to 1344 1540341217.547 * * * * [misc]points: Computing exacts on every 2 of 74 points to ramp up precision 1540341217.557 * * * * [misc]points: Setting MPFR precision to 1088 1540341217.559 * * * * [misc]points: Setting MPFR precision to 1344 1540341217.561 * * * * [misc]points: Computing exacts for 74 points 1540341217.589 * * * * [misc]points: Setting MPFR precision to 1088 1540341217.595 * * * * [misc]points: Setting MPFR precision to 1344 1540341217.602 * * * * [misc]points: Filtering points with unrepresentable outputs 1540341217.602 * * * * [misc]points: Sampling 61 additional inputs, on iter 7 have 195 / 256 1540341217.603 * * * * [misc]points: Computing exacts on every 3 of 61 points to ramp up precision 1540341217.621 * * * * [misc]points: Setting MPFR precision to 1088 1540341217.623 * * * * [misc]points: Setting MPFR precision to 1344 1540341217.625 * * * * [misc]points: Computing exacts for 61 points 1540341217.644 * * * * [misc]points: Setting MPFR precision to 1088 1540341217.649 * * * * [misc]points: Setting MPFR precision to 1344 1540341217.664 * * * * [misc]points: Filtering points with unrepresentable outputs 1540341217.664 * * * * [misc]points: Sampling 51 additional inputs, on iter 8 have 205 / 256 1540341217.664 * * * * [misc]points: Computing exacts on every 3 of 51 points to ramp up precision 1540341217.684 * * * * [misc]points: Setting MPFR precision to 1088 1540341217.685 * * * * [misc]points: Setting MPFR precision to 1344 1540341217.685 * * * * [misc]points: Computing exacts for 51 points 1540341217.704 * * * * [misc]points: Setting MPFR precision to 1088 1540341217.707 * * * * [misc]points: Setting MPFR precision to 1344 1540341217.711 * * * * [misc]points: Filtering points with unrepresentable outputs 1540341217.711 * * * * [misc]points: Sampling 46 additional inputs, on iter 9 have 210 / 256 1540341217.712 * * * * [misc]points: Computing exacts on every 2 of 46 points to ramp up precision 1540341217.738 * * * * [misc]points: Setting MPFR precision to 1088 1540341217.739 * * * * [misc]points: Setting MPFR precision to 1344 1540341217.741 * * * * [misc]points: Computing exacts for 46 points 1540341217.759 * * * * [misc]points: Setting MPFR precision to 1088 1540341217.763 * * * * [misc]points: Setting MPFR precision to 1344 1540341217.768 * * * * [misc]points: Filtering points with unrepresentable outputs 1540341217.768 * * * * [misc]points: Sampling 37 additional inputs, on iter 10 have 219 / 256 1540341217.769 * * * * [misc]points: Computing exacts on every 2 of 37 points to ramp up precision 1540341217.788 * * * * [misc]points: Setting MPFR precision to 1088 1540341217.789 * * * * [misc]points: Setting MPFR precision to 1344 1540341217.790 * * * * [misc]points: Computing exacts for 37 points 1540341217.814 * * * * [misc]points: Setting MPFR precision to 1088 1540341217.817 * * * * [misc]points: Setting MPFR precision to 1344 1540341217.819 * * * * [misc]points: Filtering points with unrepresentable outputs 1540341217.820 * * * * [misc]points: Sampling 33 additional inputs, on iter 11 have 223 / 256 1540341217.820 * * * * [misc]points: Computing exacts on every 2 of 33 points to ramp up precision 1540341217.839 * * * * [misc]points: Setting MPFR precision to 1088 1540341217.841 * * * * [misc]points: Setting MPFR precision to 1344 1540341217.842 * * * * [misc]points: Computing exacts for 33 points 1540341217.861 * * * * [misc]points: Setting MPFR precision to 1088 1540341217.864 * * * * [misc]points: Setting MPFR precision to 1344 1540341217.867 * * * * [misc]points: Filtering points with unrepresentable outputs 1540341217.867 * * * * [misc]points: Sampling 26 additional inputs, on iter 12 have 230 / 256 1540341217.867 * * * * [misc]points: Computing exacts for 26 points 1540341217.888 * * * * [misc]points: Setting MPFR precision to 1088 1540341217.889 * * * * [misc]points: Setting MPFR precision to 1344 1540341217.890 * * * * [misc]points: Filtering points with unrepresentable outputs 1540341217.890 * * * * [misc]points: Sampling 23 additional inputs, on iter 13 have 233 / 256 1540341217.890 * * * * [misc]points: Computing exacts for 23 points 1540341217.899 * * * * [misc]points: Setting MPFR precision to 1088 1540341217.900 * * * * [misc]points: Setting MPFR precision to 1344 1540341217.902 * * * * [misc]points: Filtering points with unrepresentable outputs 1540341217.902 * * * * [misc]points: Sampling 17 additional inputs, on iter 14 have 239 / 256 1540341217.902 * * * * [misc]points: Computing exacts for 17 points 1540341217.911 * * * * [misc]points: Setting MPFR precision to 1088 1540341217.912 * * * * [misc]points: Setting MPFR precision to 1344 1540341217.912 * * * * [misc]points: Filtering points with unrepresentable outputs 1540341217.912 * * * * [misc]points: Sampling 12 additional inputs, on iter 15 have 244 / 256 1540341217.912 * * * * [misc]points: Computing exacts for 12 points 1540341217.926 * * * * [misc]points: Setting MPFR precision to 1088 1540341217.927 * * * * [misc]points: Setting MPFR precision to 1344 1540341217.928 * * * * [misc]points: Filtering points with unrepresentable outputs 1540341217.928 * * * * [misc]points: Sampling 10 additional inputs, on iter 16 have 246 / 256 1540341217.928 * * * * [misc]points: Computing exacts for 10 points 1540341217.947 * * * * [misc]points: Setting MPFR precision to 1088 1540341217.948 * * * * [misc]points: Setting MPFR precision to 1344 1540341217.948 * * * * [misc]points: Filtering points with unrepresentable outputs 1540341217.948 * * * * [misc]points: Sampling 6 additional inputs, on iter 17 have 250 / 256 1540341217.948 * * * * [misc]points: Computing exacts for 6 points 1540341217.960 * * * * [misc]points: Setting MPFR precision to 1088 1540341217.960 * * * * [misc]points: Setting MPFR precision to 1344 1540341217.961 * * * * [misc]points: Filtering points with unrepresentable outputs 1540341217.961 * * * * [misc]points: Sampling 4 additional inputs, on iter 18 have 254 / 256 1540341217.961 * * * * [misc]points: Computing exacts for 4 points 1540341217.970 * * * * [misc]points: Setting MPFR precision to 1088 1540341217.970 * * * * [misc]points: Setting MPFR precision to 1344 1540341217.971 * * * * [misc]points: Filtering points with unrepresentable outputs 1540341217.971 * * * * [misc]points: Sampling 4 additional inputs, on iter 19 have 255 / 256 1540341217.971 * * * * [misc]points: Computing exacts for 4 points 1540341217.980 * * * * [misc]points: Setting MPFR precision to 1088 1540341217.980 * * * * [misc]points: Setting MPFR precision to 1344 1540341217.980 * * * * [misc]points: Filtering points with unrepresentable outputs 1540341217.980 * * * * [misc]points: Sampling 4 additional inputs, on iter 20 have 255 / 256 1540341217.980 * * * * [misc]points: Computing exacts for 4 points 1540341217.991 * * * * [misc]points: Setting MPFR precision to 1088 1540341217.991 * * * * [misc]points: Setting MPFR precision to 1344 1540341217.992 * * * * [misc]points: Filtering points with unrepresentable outputs 1540341217.992 * * * * [misc]points: Sampling 4 additional inputs, on iter 21 have 255 / 256 1540341217.992 * * * * [misc]points: Computing exacts for 4 points 1540341218.007 * * * * [misc]points: Setting MPFR precision to 1088 1540341218.007 * * * * [misc]points: Setting MPFR precision to 1344 1540341218.008 * * * * [misc]points: Filtering points with unrepresentable outputs 1540341218.008 * * * * [misc]points: Sampling 4 additional inputs, on iter 22 have 255 / 256 1540341218.008 * * * * [misc]points: Computing exacts for 4 points 1540341218.026 * * * * [misc]points: Setting MPFR precision to 1088 1540341218.027 * * * * [misc]points: Setting MPFR precision to 1344 1540341218.027 * * * * [misc]points: Filtering points with unrepresentable outputs 1540341218.027 * * * * [misc]points: Sampling 4 additional inputs, on iter 23 have 255 / 256 1540341218.027 * * * * [misc]points: Computing exacts for 4 points 1540341218.049 * * * * [misc]points: Setting MPFR precision to 1088 1540341218.050 * * * * [misc]points: Setting MPFR precision to 1344 1540341218.050 * * * * [misc]points: Filtering points with unrepresentable outputs 1540341218.050 * * * * [exit]points: Sampled 256 points with exact outputs 1540341218.050 * * * [misc]progress: [2/2] Setting up program. 1540341218.056 * [misc]progress: [Phase 2 of 3] Improving. 1540341218.057 * [enter]simplify: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1540341218.057 * * [misc]simplify: iters left: 6 (13 enodes) 1540341218.062 * * [misc]simplify: iters left: 5 (28 enodes) 1540341218.068 * * [misc]simplify: iters left: 4 (44 enodes) 1540341218.075 * * [misc]simplify: iters left: 3 (54 enodes) 1540341218.080 * * [misc]simplify: iters left: 2 (57 enodes) 1540341218.085 * * [misc]simplify: iters left: 1 (65 enodes) 1540341218.093 * [exit]simplify: Simplified to (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1540341218.099 * * [misc]progress: iteration 1 / 4 1540341218.099 * * * [misc]progress: picking best candidate 1540341218.110 * * * * [misc]pick: Picked # 1540341218.110 * * * [misc]progress: localizing error 1540341218.174 * * * [misc]progress: generating rewritten candidates 1540341218.174 * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1) 1540341218.179 * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1 1) 1540341218.181 * * * * [misc]progress: [ 3 / 3 ] rewriting at (2) 1540341218.189 * * * [misc]progress: generating series expansions 1540341218.189 * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1) 1540341218.189 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1540341218.189 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1540341218.189 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1540341218.189 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1540341218.189 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1540341218.189 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540341218.189 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540341218.189 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540341218.189 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540341218.189 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540341218.189 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540341218.189 * [misc]taylor: Taking taylor expansion of k in k 1540341218.189 * [misc]backup-simplify: Simplify 0 into 0 1540341218.189 * [misc]backup-simplify: Simplify 1 into 1 1540341218.189 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1540341218.189 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1540341218.189 * [misc]taylor: Taking taylor expansion of 2 in k 1540341218.189 * [misc]backup-simplify: Simplify 2 into 2 1540341218.189 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1540341218.189 * [misc]taylor: Taking taylor expansion of n in k 1540341218.189 * [misc]backup-simplify: Simplify n into n 1540341218.189 * [misc]taylor: Taking taylor expansion of PI in k 1540341218.189 * [misc]backup-simplify: Simplify PI into PI 1540341218.189 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1540341218.190 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1540341218.190 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1540341218.190 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540341218.190 * [misc]backup-simplify: Simplify (- 0) into 0 1540341218.190 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540341218.190 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1540341218.190 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1540341218.190 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1540341218.190 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1540341218.190 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1540341218.190 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540341218.190 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540341218.190 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540341218.190 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540341218.190 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540341218.190 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540341218.190 * [misc]taylor: Taking taylor expansion of k in n 1540341218.190 * [misc]backup-simplify: Simplify k into k 1540341218.190 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1540341218.191 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540341218.191 * [misc]taylor: Taking taylor expansion of 2 in n 1540341218.191 * [misc]backup-simplify: Simplify 2 into 2 1540341218.191 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540341218.191 * [misc]taylor: Taking taylor expansion of n in n 1540341218.191 * [misc]backup-simplify: Simplify 0 into 0 1540341218.191 * [misc]backup-simplify: Simplify 1 into 1 1540341218.191 * [misc]taylor: Taking taylor expansion of PI in n 1540341218.191 * [misc]backup-simplify: Simplify PI into PI 1540341218.191 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540341218.191 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540341218.191 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540341218.192 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1540341218.192 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540341218.192 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540341218.192 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540341218.192 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540341218.193 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540341218.193 * [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)))) 1540341218.194 * [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))))) 1540341218.194 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1540341218.194 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1540341218.194 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1540341218.194 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540341218.194 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540341218.194 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540341218.194 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540341218.194 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540341218.194 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540341218.194 * [misc]taylor: Taking taylor expansion of k in n 1540341218.194 * [misc]backup-simplify: Simplify k into k 1540341218.194 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1540341218.194 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540341218.194 * [misc]taylor: Taking taylor expansion of 2 in n 1540341218.194 * [misc]backup-simplify: Simplify 2 into 2 1540341218.194 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540341218.194 * [misc]taylor: Taking taylor expansion of n in n 1540341218.194 * [misc]backup-simplify: Simplify 0 into 0 1540341218.194 * [misc]backup-simplify: Simplify 1 into 1 1540341218.194 * [misc]taylor: Taking taylor expansion of PI in n 1540341218.194 * [misc]backup-simplify: Simplify PI into PI 1540341218.194 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540341218.194 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540341218.195 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540341218.195 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1540341218.195 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540341218.195 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540341218.195 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540341218.195 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540341218.196 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540341218.196 * [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)))) 1540341218.197 * [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))))) 1540341218.197 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1540341218.197 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1540341218.197 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540341218.197 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540341218.197 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540341218.197 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540341218.197 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540341218.197 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540341218.197 * [misc]taylor: Taking taylor expansion of k in k 1540341218.197 * [misc]backup-simplify: Simplify 0 into 0 1540341218.197 * [misc]backup-simplify: Simplify 1 into 1 1540341218.197 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1540341218.197 * [misc]taylor: Taking taylor expansion of (log n) in k 1540341218.197 * [misc]taylor: Taking taylor expansion of n in k 1540341218.197 * [misc]backup-simplify: Simplify n into n 1540341218.197 * [misc]backup-simplify: Simplify (log n) into (log n) 1540341218.197 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1540341218.197 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1540341218.197 * [misc]taylor: Taking taylor expansion of 2 in k 1540341218.197 * [misc]backup-simplify: Simplify 2 into 2 1540341218.197 * [misc]taylor: Taking taylor expansion of PI in k 1540341218.197 * [misc]backup-simplify: Simplify PI into PI 1540341218.197 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540341218.198 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540341218.198 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540341218.198 * [misc]backup-simplify: Simplify (- 0) into 0 1540341218.198 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540341218.198 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540341218.199 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1540341218.199 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1540341218.199 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1540341218.200 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1540341218.201 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1540341218.202 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1540341218.203 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1540341218.203 * [misc]backup-simplify: Simplify (- 0) into 0 1540341218.203 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540341218.203 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540341218.204 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1540341218.205 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1540341218.206 * [misc]taylor: Taking taylor expansion of 0 in k 1540341218.206 * [misc]backup-simplify: Simplify 0 into 0 1540341218.206 * [misc]backup-simplify: Simplify 0 into 0 1540341218.206 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1540341218.207 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1540341218.210 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1540341218.210 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540341218.210 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1540341218.210 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540341218.210 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540341218.211 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1540341218.213 * [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))))))) 1540341218.214 * [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))))))) 1540341218.216 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1540341218.217 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1540341218.222 * [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 1540341218.222 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1540341218.223 * [misc]backup-simplify: Simplify (- 0) into 0 1540341218.223 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540341218.223 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540341218.224 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1540341218.226 * [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 1540341218.226 * [misc]taylor: Taking taylor expansion of 0 in k 1540341218.226 * [misc]backup-simplify: Simplify 0 into 0 1540341218.227 * [misc]backup-simplify: Simplify 0 into 0 1540341218.227 * [misc]backup-simplify: Simplify 0 into 0 1540341218.228 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1540341218.229 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1540341218.234 * [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 1540341218.235 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540341218.235 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1540341218.235 * [misc]backup-simplify: Simplify (- 0) into 0 1540341218.235 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540341218.236 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1540341218.239 * [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))))) 1540341218.241 * [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))))) 1540341218.246 * [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))))) 1540341218.247 * [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)))) 1540341218.247 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1540341218.247 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1540341218.247 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1540341218.247 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1540341218.247 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540341218.247 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540341218.247 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540341218.247 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540341218.247 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540341218.247 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540341218.247 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540341218.247 * [misc]taylor: Taking taylor expansion of k in k 1540341218.247 * [misc]backup-simplify: Simplify 0 into 0 1540341218.247 * [misc]backup-simplify: Simplify 1 into 1 1540341218.248 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540341218.248 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1540341218.248 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1540341218.248 * [misc]taylor: Taking taylor expansion of 2 in k 1540341218.248 * [misc]backup-simplify: Simplify 2 into 2 1540341218.248 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1540341218.248 * [misc]taylor: Taking taylor expansion of PI in k 1540341218.248 * [misc]backup-simplify: Simplify PI into PI 1540341218.248 * [misc]taylor: Taking taylor expansion of n in k 1540341218.248 * [misc]backup-simplify: Simplify n into n 1540341218.248 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1540341218.248 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1540341218.248 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1540341218.248 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540341218.248 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540341218.249 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540341218.249 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1540341218.249 * [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)))) 1540341218.249 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540341218.249 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1540341218.249 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1540341218.249 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540341218.249 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540341218.249 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540341218.249 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540341218.249 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540341218.249 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540341218.249 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540341218.249 * [misc]taylor: Taking taylor expansion of k in n 1540341218.249 * [misc]backup-simplify: Simplify k into k 1540341218.249 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540341218.249 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1540341218.249 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540341218.250 * [misc]taylor: Taking taylor expansion of 2 in n 1540341218.250 * [misc]backup-simplify: Simplify 2 into 2 1540341218.250 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540341218.250 * [misc]taylor: Taking taylor expansion of PI in n 1540341218.250 * [misc]backup-simplify: Simplify PI into PI 1540341218.250 * [misc]taylor: Taking taylor expansion of n in n 1540341218.250 * [misc]backup-simplify: Simplify 0 into 0 1540341218.250 * [misc]backup-simplify: Simplify 1 into 1 1540341218.250 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540341218.250 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540341218.251 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540341218.251 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540341218.251 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540341218.251 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540341218.252 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540341218.253 * [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))) 1540341218.253 * [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)))) 1540341218.253 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540341218.253 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1540341218.253 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1540341218.253 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540341218.254 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540341218.254 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540341218.254 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540341218.254 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540341218.254 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540341218.254 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540341218.254 * [misc]taylor: Taking taylor expansion of k in n 1540341218.254 * [misc]backup-simplify: Simplify k into k 1540341218.254 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540341218.254 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1540341218.254 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540341218.254 * [misc]taylor: Taking taylor expansion of 2 in n 1540341218.254 * [misc]backup-simplify: Simplify 2 into 2 1540341218.254 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540341218.254 * [misc]taylor: Taking taylor expansion of PI in n 1540341218.254 * [misc]backup-simplify: Simplify PI into PI 1540341218.254 * [misc]taylor: Taking taylor expansion of n in n 1540341218.254 * [misc]backup-simplify: Simplify 0 into 0 1540341218.254 * [misc]backup-simplify: Simplify 1 into 1 1540341218.254 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540341218.255 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540341218.255 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540341218.255 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540341218.255 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540341218.255 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540341218.256 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540341218.257 * [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))) 1540341218.257 * [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)))) 1540341218.258 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1540341218.258 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1540341218.258 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540341218.258 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540341218.258 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540341218.258 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540341218.258 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540341218.258 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540341218.258 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540341218.258 * [misc]taylor: Taking taylor expansion of k in k 1540341218.258 * [misc]backup-simplify: Simplify 0 into 0 1540341218.258 * [misc]backup-simplify: Simplify 1 into 1 1540341218.258 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540341218.258 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1540341218.258 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1540341218.258 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1540341218.258 * [misc]taylor: Taking taylor expansion of 2 in k 1540341218.258 * [misc]backup-simplify: Simplify 2 into 2 1540341218.258 * [misc]taylor: Taking taylor expansion of PI in k 1540341218.258 * [misc]backup-simplify: Simplify PI into PI 1540341218.259 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540341218.259 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540341218.259 * [misc]taylor: Taking taylor expansion of (log n) in k 1540341218.259 * [misc]taylor: Taking taylor expansion of n in k 1540341218.259 * [misc]backup-simplify: Simplify n into n 1540341218.259 * [misc]backup-simplify: Simplify (log n) into (log n) 1540341218.259 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540341218.260 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540341218.260 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540341218.260 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1540341218.260 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1540341218.261 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1540341218.262 * [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)))) 1540341218.262 * [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)))) 1540341218.263 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540341218.264 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1540341218.267 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1540341218.267 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540341218.267 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540341218.267 * [misc]backup-simplify: Simplify (- 0) into 0 1540341218.268 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540341218.268 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540341218.269 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1540341218.270 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540341218.271 * [misc]taylor: Taking taylor expansion of 0 in k 1540341218.271 * [misc]backup-simplify: Simplify 0 into 0 1540341218.271 * [misc]backup-simplify: Simplify 0 into 0 1540341218.271 * [misc]backup-simplify: Simplify 0 into 0 1540341218.272 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341218.273 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1540341218.278 * [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 1540341218.278 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540341218.278 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1540341218.278 * [misc]backup-simplify: Simplify (- 0) into 0 1540341218.278 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540341218.279 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540341218.279 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1540341218.281 * [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 1540341218.281 * [misc]taylor: Taking taylor expansion of 0 in k 1540341218.281 * [misc]backup-simplify: Simplify 0 into 0 1540341218.281 * [misc]backup-simplify: Simplify 0 into 0 1540341218.281 * [misc]backup-simplify: Simplify 0 into 0 1540341218.281 * [misc]backup-simplify: Simplify 0 into 0 1540341218.282 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341218.283 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1540341218.288 * [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 1540341218.288 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540341218.291 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1540341218.291 * [misc]backup-simplify: Simplify (- 0) into 0 1540341218.291 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540341218.291 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540341218.292 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1540341218.294 * [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 1540341218.294 * [misc]taylor: Taking taylor expansion of 0 in k 1540341218.294 * [misc]backup-simplify: Simplify 0 into 0 1540341218.294 * [misc]backup-simplify: Simplify 0 into 0 1540341218.295 * [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))))) 1540341218.295 * [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)) 1540341218.295 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1540341218.295 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540341218.295 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1540341218.295 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1540341218.295 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540341218.295 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540341218.295 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540341218.295 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540341218.295 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540341218.295 * [misc]taylor: Taking taylor expansion of k in k 1540341218.295 * [misc]backup-simplify: Simplify 0 into 0 1540341218.295 * [misc]backup-simplify: Simplify 1 into 1 1540341218.295 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540341218.295 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540341218.295 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540341218.295 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1540341218.295 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1540341218.295 * [misc]taylor: Taking taylor expansion of -2 in k 1540341218.295 * [misc]backup-simplify: Simplify -2 into -2 1540341218.295 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1540341218.295 * [misc]taylor: Taking taylor expansion of PI in k 1540341218.295 * [misc]backup-simplify: Simplify PI into PI 1540341218.296 * [misc]taylor: Taking taylor expansion of n in k 1540341218.296 * [misc]backup-simplify: Simplify n into n 1540341218.296 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1540341218.296 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1540341218.296 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1540341218.296 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540341218.296 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540341218.296 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1540341218.296 * [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))) 1540341218.296 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540341218.296 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1540341218.296 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1540341218.296 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540341218.296 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540341218.296 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540341218.296 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540341218.296 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540341218.296 * [misc]taylor: Taking taylor expansion of k in n 1540341218.296 * [misc]backup-simplify: Simplify k into k 1540341218.296 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540341218.296 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540341218.296 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540341218.296 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1540341218.296 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540341218.296 * [misc]taylor: Taking taylor expansion of -2 in n 1540341218.296 * [misc]backup-simplify: Simplify -2 into -2 1540341218.296 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540341218.296 * [misc]taylor: Taking taylor expansion of PI in n 1540341218.296 * [misc]backup-simplify: Simplify PI into PI 1540341218.296 * [misc]taylor: Taking taylor expansion of n in n 1540341218.296 * [misc]backup-simplify: Simplify 0 into 0 1540341218.296 * [misc]backup-simplify: Simplify 1 into 1 1540341218.297 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540341218.297 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540341218.297 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1540341218.297 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540341218.297 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540341218.298 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540341218.298 * [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))) 1540341218.298 * [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)))) 1540341218.299 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540341218.299 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1540341218.299 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1540341218.299 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540341218.299 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540341218.299 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540341218.299 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540341218.299 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540341218.299 * [misc]taylor: Taking taylor expansion of k in n 1540341218.299 * [misc]backup-simplify: Simplify k into k 1540341218.299 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540341218.299 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540341218.299 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540341218.299 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1540341218.299 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540341218.299 * [misc]taylor: Taking taylor expansion of -2 in n 1540341218.299 * [misc]backup-simplify: Simplify -2 into -2 1540341218.299 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540341218.299 * [misc]taylor: Taking taylor expansion of PI in n 1540341218.299 * [misc]backup-simplify: Simplify PI into PI 1540341218.299 * [misc]taylor: Taking taylor expansion of n in n 1540341218.299 * [misc]backup-simplify: Simplify 0 into 0 1540341218.299 * [misc]backup-simplify: Simplify 1 into 1 1540341218.299 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540341218.299 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540341218.300 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1540341218.300 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540341218.300 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540341218.300 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540341218.300 * [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))) 1540341218.301 * [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)))) 1540341218.301 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1540341218.301 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1540341218.301 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540341218.301 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540341218.301 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540341218.301 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540341218.301 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540341218.301 * [misc]taylor: Taking taylor expansion of k in k 1540341218.301 * [misc]backup-simplify: Simplify 0 into 0 1540341218.301 * [misc]backup-simplify: Simplify 1 into 1 1540341218.301 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540341218.301 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540341218.301 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540341218.301 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1540341218.301 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1540341218.301 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1540341218.301 * [misc]taylor: Taking taylor expansion of -2 in k 1540341218.301 * [misc]backup-simplify: Simplify -2 into -2 1540341218.301 * [misc]taylor: Taking taylor expansion of PI in k 1540341218.301 * [misc]backup-simplify: Simplify PI into PI 1540341218.302 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540341218.302 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1540341218.302 * [misc]taylor: Taking taylor expansion of (log n) in k 1540341218.302 * [misc]taylor: Taking taylor expansion of n in k 1540341218.302 * [misc]backup-simplify: Simplify n into n 1540341218.302 * [misc]backup-simplify: Simplify (log n) into (log n) 1540341218.302 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540341218.302 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540341218.302 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1540341218.303 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1540341218.303 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1540341218.303 * [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)))) 1540341218.304 * [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)))) 1540341218.305 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540341218.306 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1540341218.308 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1540341218.309 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540341218.309 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540341218.309 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540341218.310 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540341218.310 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1540341218.312 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540341218.312 * [misc]taylor: Taking taylor expansion of 0 in k 1540341218.312 * [misc]backup-simplify: Simplify 0 into 0 1540341218.312 * [misc]backup-simplify: Simplify 0 into 0 1540341218.312 * [misc]backup-simplify: Simplify 0 into 0 1540341218.314 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341218.315 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1540341218.320 * [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 1540341218.320 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540341218.320 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1540341218.321 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540341218.321 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540341218.322 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1540341218.324 * [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 1540341218.324 * [misc]taylor: Taking taylor expansion of 0 in k 1540341218.324 * [misc]backup-simplify: Simplify 0 into 0 1540341218.324 * [misc]backup-simplify: Simplify 0 into 0 1540341218.325 * [misc]backup-simplify: Simplify 0 into 0 1540341218.325 * [misc]backup-simplify: Simplify 0 into 0 1540341218.326 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341218.328 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1540341218.336 * [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 1540341218.337 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540341218.337 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1540341218.337 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540341218.338 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540341218.339 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1540341218.343 * [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 1540341218.343 * [misc]taylor: Taking taylor expansion of 0 in k 1540341218.343 * [misc]backup-simplify: Simplify 0 into 0 1540341218.343 * [misc]backup-simplify: Simplify 0 into 0 1540341218.344 * [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))))) 1540341218.344 * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1 1) 1540341218.344 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1540341218.344 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1540341218.344 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540341218.344 * [misc]taylor: Taking taylor expansion of 2 in n 1540341218.344 * [misc]backup-simplify: Simplify 2 into 2 1540341218.344 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540341218.344 * [misc]taylor: Taking taylor expansion of n in n 1540341218.344 * [misc]backup-simplify: Simplify 0 into 0 1540341218.344 * [misc]backup-simplify: Simplify 1 into 1 1540341218.344 * [misc]taylor: Taking taylor expansion of PI in n 1540341218.344 * [misc]backup-simplify: Simplify PI into PI 1540341218.344 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540341218.344 * [misc]taylor: Taking taylor expansion of 2 in n 1540341218.344 * [misc]backup-simplify: Simplify 2 into 2 1540341218.344 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540341218.344 * [misc]taylor: Taking taylor expansion of n in n 1540341218.344 * [misc]backup-simplify: Simplify 0 into 0 1540341218.344 * [misc]backup-simplify: Simplify 1 into 1 1540341218.344 * [misc]taylor: Taking taylor expansion of PI in n 1540341218.344 * [misc]backup-simplify: Simplify PI into PI 1540341218.345 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540341218.345 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540341218.345 * [misc]backup-simplify: Simplify 0 into 0 1540341218.346 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540341218.346 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1540341218.347 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540341218.348 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1540341218.349 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1540341218.349 * [misc]backup-simplify: Simplify 0 into 0 1540341218.350 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1540341218.352 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1540341218.352 * [misc]backup-simplify: Simplify 0 into 0 1540341218.354 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1540341218.356 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1540341218.356 * [misc]backup-simplify: Simplify 0 into 0 1540341218.359 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1540341218.362 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1540341218.362 * [misc]backup-simplify: Simplify 0 into 0 1540341218.365 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1540341218.369 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1540341218.369 * [misc]backup-simplify: Simplify 0 into 0 1540341218.373 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1540341218.377 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1540341218.377 * [misc]backup-simplify: Simplify 0 into 0 1540341218.378 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1540341218.378 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1540341218.378 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1540341218.378 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540341218.378 * [misc]taylor: Taking taylor expansion of 2 in n 1540341218.378 * [misc]backup-simplify: Simplify 2 into 2 1540341218.378 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540341218.378 * [misc]taylor: Taking taylor expansion of PI in n 1540341218.378 * [misc]backup-simplify: Simplify PI into PI 1540341218.378 * [misc]taylor: Taking taylor expansion of n in n 1540341218.378 * [misc]backup-simplify: Simplify 0 into 0 1540341218.378 * [misc]backup-simplify: Simplify 1 into 1 1540341218.379 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540341218.379 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540341218.379 * [misc]taylor: Taking taylor expansion of 2 in n 1540341218.379 * [misc]backup-simplify: Simplify 2 into 2 1540341218.379 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540341218.379 * [misc]taylor: Taking taylor expansion of PI in n 1540341218.379 * [misc]backup-simplify: Simplify PI into PI 1540341218.379 * [misc]taylor: Taking taylor expansion of n in n 1540341218.379 * [misc]backup-simplify: Simplify 0 into 0 1540341218.379 * [misc]backup-simplify: Simplify 1 into 1 1540341218.379 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540341218.379 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540341218.380 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540341218.381 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540341218.381 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1540341218.381 * [misc]backup-simplify: Simplify 0 into 0 1540341218.383 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341218.384 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1540341218.384 * [misc]backup-simplify: Simplify 0 into 0 1540341218.386 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341218.387 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1540341218.387 * [misc]backup-simplify: Simplify 0 into 0 1540341218.389 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341218.391 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1540341218.391 * [misc]backup-simplify: Simplify 0 into 0 1540341218.393 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341218.394 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1540341218.394 * [misc]backup-simplify: Simplify 0 into 0 1540341218.396 * [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 1540341218.398 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1540341218.398 * [misc]backup-simplify: Simplify 0 into 0 1540341218.398 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1540341218.398 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1540341218.398 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1540341218.398 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540341218.398 * [misc]taylor: Taking taylor expansion of -2 in n 1540341218.398 * [misc]backup-simplify: Simplify -2 into -2 1540341218.398 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540341218.398 * [misc]taylor: Taking taylor expansion of PI in n 1540341218.398 * [misc]backup-simplify: Simplify PI into PI 1540341218.398 * [misc]taylor: Taking taylor expansion of n in n 1540341218.398 * [misc]backup-simplify: Simplify 0 into 0 1540341218.398 * [misc]backup-simplify: Simplify 1 into 1 1540341218.399 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540341218.399 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540341218.399 * [misc]taylor: Taking taylor expansion of -2 in n 1540341218.399 * [misc]backup-simplify: Simplify -2 into -2 1540341218.399 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540341218.399 * [misc]taylor: Taking taylor expansion of PI in n 1540341218.399 * [misc]backup-simplify: Simplify PI into PI 1540341218.399 * [misc]taylor: Taking taylor expansion of n in n 1540341218.399 * [misc]backup-simplify: Simplify 0 into 0 1540341218.399 * [misc]backup-simplify: Simplify 1 into 1 1540341218.399 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540341218.399 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540341218.399 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540341218.400 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540341218.400 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1540341218.400 * [misc]backup-simplify: Simplify 0 into 0 1540341218.401 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341218.402 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1540341218.402 * [misc]backup-simplify: Simplify 0 into 0 1540341218.403 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341218.404 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1540341218.404 * [misc]backup-simplify: Simplify 0 into 0 1540341218.405 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341218.406 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1540341218.406 * [misc]backup-simplify: Simplify 0 into 0 1540341218.408 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341218.409 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1540341218.409 * [misc]backup-simplify: Simplify 0 into 0 1540341218.411 * [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 1540341218.413 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1540341218.413 * [misc]backup-simplify: Simplify 0 into 0 1540341218.413 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1540341218.413 * * * * [misc]progress: [ 3 / 3 ] generating series at (2) 1540341218.413 * [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)))) 1540341218.413 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0 1540341218.413 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1540341218.413 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1540341218.413 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540341218.413 * [misc]taylor: Taking taylor expansion of k in k 1540341218.413 * [misc]backup-simplify: Simplify 0 into 0 1540341218.413 * [misc]backup-simplify: Simplify 1 into 1 1540341218.414 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540341218.414 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540341218.414 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540341218.414 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1540341218.414 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1540341218.414 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1540341218.414 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540341218.414 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540341218.414 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540341218.414 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540341218.414 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540341218.414 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540341218.414 * [misc]taylor: Taking taylor expansion of k in k 1540341218.414 * [misc]backup-simplify: Simplify 0 into 0 1540341218.414 * [misc]backup-simplify: Simplify 1 into 1 1540341218.414 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1540341218.414 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1540341218.414 * [misc]taylor: Taking taylor expansion of 2 in k 1540341218.414 * [misc]backup-simplify: Simplify 2 into 2 1540341218.414 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1540341218.414 * [misc]taylor: Taking taylor expansion of n in k 1540341218.414 * [misc]backup-simplify: Simplify n into n 1540341218.414 * [misc]taylor: Taking taylor expansion of PI in k 1540341218.414 * [misc]backup-simplify: Simplify PI into PI 1540341218.414 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1540341218.415 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1540341218.415 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1540341218.415 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540341218.415 * [misc]backup-simplify: Simplify (- 0) into 0 1540341218.415 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540341218.415 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1540341218.415 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1540341218.415 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1540341218.415 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1540341218.415 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540341218.415 * [misc]taylor: Taking taylor expansion of k in n 1540341218.415 * [misc]backup-simplify: Simplify k into k 1540341218.415 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540341218.415 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1540341218.415 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540341218.415 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1540341218.415 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1540341218.415 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1540341218.415 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1540341218.415 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540341218.415 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540341218.415 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540341218.415 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540341218.415 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540341218.415 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540341218.416 * [misc]taylor: Taking taylor expansion of k in n 1540341218.416 * [misc]backup-simplify: Simplify k into k 1540341218.416 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1540341218.416 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540341218.416 * [misc]taylor: Taking taylor expansion of 2 in n 1540341218.416 * [misc]backup-simplify: Simplify 2 into 2 1540341218.416 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540341218.416 * [misc]taylor: Taking taylor expansion of n in n 1540341218.416 * [misc]backup-simplify: Simplify 0 into 0 1540341218.416 * [misc]backup-simplify: Simplify 1 into 1 1540341218.416 * [misc]taylor: Taking taylor expansion of PI in n 1540341218.416 * [misc]backup-simplify: Simplify PI into PI 1540341218.416 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540341218.416 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540341218.416 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540341218.417 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1540341218.417 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540341218.417 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540341218.417 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540341218.417 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540341218.418 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540341218.418 * [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)))) 1540341218.418 * [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))))) 1540341218.418 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1540341218.418 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1540341218.418 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540341218.418 * [misc]taylor: Taking taylor expansion of k in n 1540341218.418 * [misc]backup-simplify: Simplify k into k 1540341218.418 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540341218.419 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1540341218.419 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540341218.419 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1540341218.419 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1540341218.419 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1540341218.419 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1540341218.419 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540341218.419 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540341218.419 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540341218.419 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540341218.419 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540341218.419 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540341218.419 * [misc]taylor: Taking taylor expansion of k in n 1540341218.419 * [misc]backup-simplify: Simplify k into k 1540341218.419 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1540341218.419 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540341218.419 * [misc]taylor: Taking taylor expansion of 2 in n 1540341218.419 * [misc]backup-simplify: Simplify 2 into 2 1540341218.419 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540341218.419 * [misc]taylor: Taking taylor expansion of n in n 1540341218.419 * [misc]backup-simplify: Simplify 0 into 0 1540341218.419 * [misc]backup-simplify: Simplify 1 into 1 1540341218.419 * [misc]taylor: Taking taylor expansion of PI in n 1540341218.419 * [misc]backup-simplify: Simplify PI into PI 1540341218.419 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540341218.419 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540341218.420 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540341218.420 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1540341218.420 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540341218.420 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540341218.420 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540341218.420 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540341218.421 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540341218.421 * [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)))) 1540341218.422 * [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))))) 1540341218.422 * [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))) 1540341218.422 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k 1540341218.422 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1540341218.422 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1540341218.422 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540341218.422 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540341218.422 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540341218.422 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540341218.422 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540341218.422 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540341218.422 * [misc]taylor: Taking taylor expansion of k in k 1540341218.422 * [misc]backup-simplify: Simplify 0 into 0 1540341218.423 * [misc]backup-simplify: Simplify 1 into 1 1540341218.423 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1540341218.423 * [misc]taylor: Taking taylor expansion of (log n) in k 1540341218.423 * [misc]taylor: Taking taylor expansion of n in k 1540341218.423 * [misc]backup-simplify: Simplify n into n 1540341218.423 * [misc]backup-simplify: Simplify (log n) into (log n) 1540341218.423 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1540341218.423 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1540341218.423 * [misc]taylor: Taking taylor expansion of 2 in k 1540341218.423 * [misc]backup-simplify: Simplify 2 into 2 1540341218.423 * [misc]taylor: Taking taylor expansion of PI in k 1540341218.423 * [misc]backup-simplify: Simplify PI into PI 1540341218.423 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540341218.423 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540341218.423 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540341218.423 * [misc]backup-simplify: Simplify (- 0) into 0 1540341218.423 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540341218.424 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540341218.424 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1540341218.425 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1540341218.425 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1540341218.425 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540341218.425 * [misc]taylor: Taking taylor expansion of k in k 1540341218.426 * [misc]backup-simplify: Simplify 0 into 0 1540341218.426 * [misc]backup-simplify: Simplify 1 into 1 1540341218.426 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540341218.426 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540341218.426 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540341218.426 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 1540341218.426 * [misc]backup-simplify: Simplify 0 into 0 1540341218.427 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1540341218.428 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1540341218.429 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1540341218.430 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1540341218.430 * [misc]backup-simplify: Simplify (- 0) into 0 1540341218.430 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540341218.430 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540341218.431 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1540341218.432 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1540341218.432 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0 1540341218.432 * [misc]taylor: Taking taylor expansion of 0 in k 1540341218.432 * [misc]backup-simplify: Simplify 0 into 0 1540341218.433 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1540341218.433 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1540341218.435 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1540341218.435 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540341218.435 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1540341218.435 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540341218.435 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540341218.436 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1540341218.436 * [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))))))) 1540341218.438 * [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))))))) 1540341218.438 * [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))))))) 1540341218.439 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1540341218.440 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1540341218.443 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 1540341218.444 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1540341218.444 * [misc]backup-simplify: Simplify (- 0) into 0 1540341218.444 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540341218.444 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540341218.445 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1540341218.446 * [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 1540341218.446 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540341218.447 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1540341218.447 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0 1540341218.447 * [misc]taylor: Taking taylor expansion of 0 in k 1540341218.447 * [misc]backup-simplify: Simplify 0 into 0 1540341218.447 * [misc]backup-simplify: Simplify 0 into 0 1540341218.447 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540341218.448 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540341218.449 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1540341218.450 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1540341218.453 * [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 1540341218.453 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540341218.453 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1540341218.453 * [misc]backup-simplify: Simplify (- 0) into 0 1540341218.453 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540341218.454 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1540341218.455 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 1540341218.458 * [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)))))))) 1540341218.460 * [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)))))))) 1540341218.461 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1540341218.462 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1540341218.467 * [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 1540341218.468 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1540341218.468 * [misc]backup-simplify: Simplify (- 0) into 0 1540341218.468 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540341218.469 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540341218.470 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1540341218.473 * [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 1540341218.474 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540341218.474 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1540341218.475 * [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 1540341218.475 * [misc]taylor: Taking taylor expansion of 0 in k 1540341218.475 * [misc]backup-simplify: Simplify 0 into 0 1540341218.475 * [misc]backup-simplify: Simplify 0 into 0 1540341218.475 * [misc]backup-simplify: Simplify 0 into 0 1540341218.476 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341218.477 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540341218.480 * [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 1540341218.481 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1540341218.489 * [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 1540341218.490 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540341218.490 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1540341218.490 * [misc]backup-simplify: Simplify (- 0) into 0 1540341218.490 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540341218.491 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1540341218.495 * [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))))))) 1540341218.504 * [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)))))))))))))) 1540341218.510 * [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)))))))))))))) 1540341218.518 * [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)))))))))))))))))))))) 1540341218.519 * [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))))) 1540341218.519 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0 1540341218.519 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1540341218.519 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1540341218.519 * [misc]taylor: Taking taylor expansion of k in k 1540341218.519 * [misc]backup-simplify: Simplify 0 into 0 1540341218.519 * [misc]backup-simplify: Simplify 1 into 1 1540341218.519 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540341218.519 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540341218.519 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1540341218.519 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1540341218.519 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1540341218.519 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540341218.519 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540341218.519 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540341218.519 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540341218.520 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540341218.520 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540341218.520 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540341218.520 * [misc]taylor: Taking taylor expansion of k in k 1540341218.520 * [misc]backup-simplify: Simplify 0 into 0 1540341218.520 * [misc]backup-simplify: Simplify 1 into 1 1540341218.520 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540341218.520 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1540341218.520 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1540341218.520 * [misc]taylor: Taking taylor expansion of 2 in k 1540341218.520 * [misc]backup-simplify: Simplify 2 into 2 1540341218.520 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1540341218.520 * [misc]taylor: Taking taylor expansion of PI in k 1540341218.520 * [misc]backup-simplify: Simplify PI into PI 1540341218.520 * [misc]taylor: Taking taylor expansion of n in k 1540341218.520 * [misc]backup-simplify: Simplify n into n 1540341218.520 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1540341218.520 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1540341218.520 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1540341218.520 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540341218.520 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540341218.520 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540341218.520 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1540341218.520 * [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)))) 1540341218.520 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540341218.521 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1540341218.521 * [misc]taylor: Taking taylor expansion of k in n 1540341218.521 * [misc]backup-simplify: Simplify k into k 1540341218.521 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1540341218.521 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1540341218.521 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540341218.521 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1540341218.521 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1540341218.521 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540341218.521 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540341218.521 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540341218.521 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540341218.521 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540341218.521 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540341218.521 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540341218.521 * [misc]taylor: Taking taylor expansion of k in n 1540341218.521 * [misc]backup-simplify: Simplify k into k 1540341218.521 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540341218.521 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1540341218.521 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540341218.521 * [misc]taylor: Taking taylor expansion of 2 in n 1540341218.521 * [misc]backup-simplify: Simplify 2 into 2 1540341218.521 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540341218.521 * [misc]taylor: Taking taylor expansion of PI in n 1540341218.521 * [misc]backup-simplify: Simplify PI into PI 1540341218.521 * [misc]taylor: Taking taylor expansion of n in n 1540341218.521 * [misc]backup-simplify: Simplify 0 into 0 1540341218.521 * [misc]backup-simplify: Simplify 1 into 1 1540341218.521 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540341218.521 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540341218.522 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540341218.522 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540341218.522 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540341218.522 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540341218.522 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540341218.523 * [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))) 1540341218.523 * [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)))) 1540341218.523 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540341218.523 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1540341218.523 * [misc]taylor: Taking taylor expansion of k in n 1540341218.523 * [misc]backup-simplify: Simplify k into k 1540341218.523 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1540341218.523 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1540341218.523 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540341218.523 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1540341218.523 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1540341218.523 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540341218.523 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540341218.523 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540341218.523 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540341218.523 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540341218.523 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540341218.523 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540341218.523 * [misc]taylor: Taking taylor expansion of k in n 1540341218.523 * [misc]backup-simplify: Simplify k into k 1540341218.524 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540341218.524 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1540341218.524 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540341218.524 * [misc]taylor: Taking taylor expansion of 2 in n 1540341218.524 * [misc]backup-simplify: Simplify 2 into 2 1540341218.524 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540341218.524 * [misc]taylor: Taking taylor expansion of PI in n 1540341218.524 * [misc]backup-simplify: Simplify PI into PI 1540341218.524 * [misc]taylor: Taking taylor expansion of n in n 1540341218.524 * [misc]backup-simplify: Simplify 0 into 0 1540341218.524 * [misc]backup-simplify: Simplify 1 into 1 1540341218.524 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540341218.524 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540341218.524 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540341218.524 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540341218.524 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540341218.524 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540341218.525 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540341218.525 * [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))) 1540341218.526 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 1540341218.526 * [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)) 1540341218.526 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k 1540341218.526 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1540341218.526 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1540341218.526 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540341218.526 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540341218.526 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540341218.526 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540341218.526 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540341218.526 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540341218.526 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540341218.526 * [misc]taylor: Taking taylor expansion of k in k 1540341218.526 * [misc]backup-simplify: Simplify 0 into 0 1540341218.526 * [misc]backup-simplify: Simplify 1 into 1 1540341218.526 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540341218.526 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1540341218.526 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1540341218.527 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1540341218.527 * [misc]taylor: Taking taylor expansion of 2 in k 1540341218.527 * [misc]backup-simplify: Simplify 2 into 2 1540341218.527 * [misc]taylor: Taking taylor expansion of PI in k 1540341218.527 * [misc]backup-simplify: Simplify PI into PI 1540341218.527 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540341218.527 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540341218.527 * [misc]taylor: Taking taylor expansion of (log n) in k 1540341218.527 * [misc]taylor: Taking taylor expansion of n in k 1540341218.527 * [misc]backup-simplify: Simplify n into n 1540341218.527 * [misc]backup-simplify: Simplify (log n) into (log n) 1540341218.527 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540341218.527 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540341218.527 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540341218.527 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1540341218.528 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1540341218.528 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1540341218.529 * [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)))) 1540341218.529 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1540341218.529 * [misc]taylor: Taking taylor expansion of k in k 1540341218.529 * [misc]backup-simplify: Simplify 0 into 0 1540341218.529 * [misc]backup-simplify: Simplify 1 into 1 1540341218.529 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540341218.529 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540341218.529 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0 1540341218.529 * [misc]backup-simplify: Simplify 0 into 0 1540341218.530 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540341218.530 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1540341218.532 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1540341218.532 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540341218.532 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540341218.532 * [misc]backup-simplify: Simplify (- 0) into 0 1540341218.533 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540341218.533 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540341218.533 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1540341218.534 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540341218.535 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1540341218.535 * [misc]taylor: Taking taylor expansion of 0 in k 1540341218.535 * [misc]backup-simplify: Simplify 0 into 0 1540341218.535 * [misc]backup-simplify: Simplify 0 into 0 1540341218.535 * [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)))))) 1540341218.536 * [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)))))) 1540341218.537 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341218.537 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1540341218.540 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 1540341218.540 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540341218.541 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1540341218.541 * [misc]backup-simplify: Simplify (- 0) into 0 1540341218.541 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540341218.542 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540341218.544 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1540341218.545 * [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 1540341218.546 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1540341218.546 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1540341218.546 * [misc]taylor: Taking taylor expansion of 0 in k 1540341218.546 * [misc]backup-simplify: Simplify 0 into 0 1540341218.546 * [misc]backup-simplify: Simplify 0 into 0 1540341218.546 * [misc]backup-simplify: Simplify 0 into 0 1540341218.547 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540341218.548 * [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)))))) 1540341218.549 * [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)))))) 1540341218.550 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341218.552 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1540341218.560 * [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 1540341218.561 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540341218.561 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1540341218.561 * [misc]backup-simplify: Simplify (- 0) into 0 1540341218.562 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540341218.562 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540341218.563 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1540341218.567 * [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 1540341218.567 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1540341218.568 * [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 1540341218.568 * [misc]taylor: Taking taylor expansion of 0 in k 1540341218.568 * [misc]backup-simplify: Simplify 0 into 0 1540341218.568 * [misc]backup-simplify: Simplify 0 into 0 1540341218.568 * [misc]backup-simplify: Simplify 0 into 0 1540341218.568 * [misc]backup-simplify: Simplify 0 into 0 1540341218.570 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540341218.571 * [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)))))) 1540341218.571 * [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)))))) 1540341218.574 * [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)))))))) 1540341218.574 * [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))) 1540341218.574 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1540341218.574 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1540341218.574 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540341218.574 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1540341218.574 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1540341218.575 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540341218.575 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540341218.575 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540341218.575 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540341218.575 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540341218.575 * [misc]taylor: Taking taylor expansion of k in k 1540341218.575 * [misc]backup-simplify: Simplify 0 into 0 1540341218.575 * [misc]backup-simplify: Simplify 1 into 1 1540341218.575 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540341218.575 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540341218.575 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540341218.575 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1540341218.575 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1540341218.575 * [misc]taylor: Taking taylor expansion of -2 in k 1540341218.575 * [misc]backup-simplify: Simplify -2 into -2 1540341218.575 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1540341218.575 * [misc]taylor: Taking taylor expansion of PI in k 1540341218.575 * [misc]backup-simplify: Simplify PI into PI 1540341218.575 * [misc]taylor: Taking taylor expansion of n in k 1540341218.575 * [misc]backup-simplify: Simplify n into n 1540341218.575 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1540341218.575 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1540341218.575 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1540341218.576 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540341218.576 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540341218.576 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1540341218.576 * [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))) 1540341218.576 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540341218.576 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540341218.576 * [misc]taylor: Taking taylor expansion of -1 in k 1540341218.576 * [misc]backup-simplify: Simplify -1 into -1 1540341218.576 * [misc]taylor: Taking taylor expansion of k in k 1540341218.576 * [misc]backup-simplify: Simplify 0 into 0 1540341218.576 * [misc]backup-simplify: Simplify 1 into 1 1540341218.577 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540341218.577 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540341218.577 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540341218.578 * [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)))) 1540341218.578 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1540341218.578 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540341218.578 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1540341218.578 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1540341218.578 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540341218.578 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540341218.578 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540341218.578 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540341218.578 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540341218.578 * [misc]taylor: Taking taylor expansion of k in n 1540341218.578 * [misc]backup-simplify: Simplify k into k 1540341218.578 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540341218.578 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540341218.578 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540341218.578 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1540341218.578 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540341218.578 * [misc]taylor: Taking taylor expansion of -2 in n 1540341218.578 * [misc]backup-simplify: Simplify -2 into -2 1540341218.578 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540341218.578 * [misc]taylor: Taking taylor expansion of PI in n 1540341218.578 * [misc]backup-simplify: Simplify PI into PI 1540341218.578 * [misc]taylor: Taking taylor expansion of n in n 1540341218.578 * [misc]backup-simplify: Simplify 0 into 0 1540341218.578 * [misc]backup-simplify: Simplify 1 into 1 1540341218.578 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540341218.579 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540341218.579 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1540341218.579 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540341218.579 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540341218.580 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540341218.581 * [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))) 1540341218.581 * [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)))) 1540341218.581 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1540341218.581 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1540341218.581 * [misc]taylor: Taking taylor expansion of -1 in n 1540341218.581 * [misc]backup-simplify: Simplify -1 into -1 1540341218.581 * [misc]taylor: Taking taylor expansion of k in n 1540341218.581 * [misc]backup-simplify: Simplify k into k 1540341218.581 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1540341218.582 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1540341218.582 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1540341218.582 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1540341218.582 * [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))) 1540341218.583 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1540341218.583 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540341218.583 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1540341218.583 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1540341218.583 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540341218.583 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540341218.583 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540341218.583 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540341218.583 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540341218.583 * [misc]taylor: Taking taylor expansion of k in n 1540341218.583 * [misc]backup-simplify: Simplify k into k 1540341218.583 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540341218.583 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540341218.583 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540341218.583 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1540341218.583 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540341218.583 * [misc]taylor: Taking taylor expansion of -2 in n 1540341218.583 * [misc]backup-simplify: Simplify -2 into -2 1540341218.583 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540341218.583 * [misc]taylor: Taking taylor expansion of PI in n 1540341218.583 * [misc]backup-simplify: Simplify PI into PI 1540341218.583 * [misc]taylor: Taking taylor expansion of n in n 1540341218.583 * [misc]backup-simplify: Simplify 0 into 0 1540341218.583 * [misc]backup-simplify: Simplify 1 into 1 1540341218.584 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540341218.584 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540341218.584 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1540341218.584 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540341218.584 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540341218.585 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540341218.586 * [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))) 1540341218.586 * [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)))) 1540341218.586 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1540341218.586 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1540341218.586 * [misc]taylor: Taking taylor expansion of -1 in n 1540341218.586 * [misc]backup-simplify: Simplify -1 into -1 1540341218.586 * [misc]taylor: Taking taylor expansion of k in n 1540341218.587 * [misc]backup-simplify: Simplify k into k 1540341218.587 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1540341218.587 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1540341218.587 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1540341218.587 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1540341218.588 * [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))) 1540341218.588 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k 1540341218.588 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1540341218.588 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1540341218.588 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540341218.588 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540341218.588 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540341218.588 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540341218.588 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540341218.588 * [misc]taylor: Taking taylor expansion of k in k 1540341218.588 * [misc]backup-simplify: Simplify 0 into 0 1540341218.588 * [misc]backup-simplify: Simplify 1 into 1 1540341218.588 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540341218.588 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540341218.588 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540341218.588 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1540341218.588 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1540341218.588 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1540341218.588 * [misc]taylor: Taking taylor expansion of -2 in k 1540341218.588 * [misc]backup-simplify: Simplify -2 into -2 1540341218.588 * [misc]taylor: Taking taylor expansion of PI in k 1540341218.588 * [misc]backup-simplify: Simplify PI into PI 1540341218.589 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540341218.589 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1540341218.589 * [misc]taylor: Taking taylor expansion of (log n) in k 1540341218.589 * [misc]taylor: Taking taylor expansion of n in k 1540341218.589 * [misc]backup-simplify: Simplify n into n 1540341218.589 * [misc]backup-simplify: Simplify (log n) into (log n) 1540341218.589 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540341218.590 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540341218.590 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1540341218.590 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1540341218.591 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1540341218.591 * [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)))) 1540341218.591 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540341218.591 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540341218.591 * [misc]taylor: Taking taylor expansion of -1 in k 1540341218.591 * [misc]backup-simplify: Simplify -1 into -1 1540341218.591 * [misc]taylor: Taking taylor expansion of k in k 1540341218.591 * [misc]backup-simplify: Simplify 0 into 0 1540341218.591 * [misc]backup-simplify: Simplify 1 into 1 1540341218.592 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540341218.592 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540341218.592 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540341218.593 * [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))))) 1540341218.594 * [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))))) 1540341218.595 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540341218.595 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1540341218.598 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1540341218.598 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540341218.598 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540341218.598 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540341218.599 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540341218.600 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1540341218.601 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540341218.602 * [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 1540341218.602 * [misc]taylor: Taking taylor expansion of 0 in k 1540341218.602 * [misc]backup-simplify: Simplify 0 into 0 1540341218.602 * [misc]backup-simplify: Simplify 0 into 0 1540341218.603 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1540341218.604 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540341218.605 * [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)))))) 1540341218.606 * [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)))))) 1540341218.607 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341218.608 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1540341218.613 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 1540341218.613 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540341218.614 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1540341218.614 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540341218.615 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540341218.615 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1540341218.618 * [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 1540341218.618 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540341218.619 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1540341218.620 * [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 1540341218.620 * [misc]taylor: Taking taylor expansion of 0 in k 1540341218.620 * [misc]backup-simplify: Simplify 0 into 0 1540341218.620 * [misc]backup-simplify: Simplify 0 into 0 1540341218.620 * [misc]backup-simplify: Simplify 0 into 0 1540341218.620 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341218.621 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540341218.623 * [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)))))) 1540341218.624 * [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)))))) 1540341218.626 * [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))))))))))) 1540341218.627 * * * [misc]progress: simplifying candidates 1540341218.627 * * * * [misc]progress: [ 1 / 83 ] simplifiying candidate # 1540341218.627 * * * * [misc]progress: [ 2 / 83 ] simplifiying candidate # 1540341218.627 * * * * [misc]progress: [ 3 / 83 ] simplifiying candidate # 1540341218.627 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1540341218.627 * * [misc]simplify: iters left: 6 (11 enodes) 1540341218.631 * * [misc]simplify: iters left: 5 (21 enodes) 1540341218.638 * * [misc]simplify: iters left: 4 (47 enodes) 1540341218.655 * * [misc]simplify: iters left: 3 (113 enodes) 1540341218.715 * * [misc]simplify: iters left: 2 (328 enodes) 1540341219.042 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1540341219.042 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))) (sqrt k))) 1540341219.043 * * * * [misc]progress: [ 4 / 83 ] simplifiying candidate # 1540341219.043 * * * * [misc]progress: [ 5 / 83 ] simplifiying candidate # 1540341219.043 * [enter]simplify: Simplifying (* PI (* n 2)) 1540341219.043 * * [misc]simplify: iters left: 4 (5 enodes) 1540341219.045 * * [misc]simplify: iters left: 3 (9 enodes) 1540341219.047 * * [misc]simplify: iters left: 2 (15 enodes) 1540341219.051 * * [misc]simplify: iters left: 1 (17 enodes) 1540341219.055 * [exit]simplify: Simplified to (* (* 2 n) PI) 1540341219.055 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k))) 1540341219.055 * * * * [misc]progress: [ 6 / 83 ] simplifiying candidate # 1540341219.055 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1540341219.056 * * [misc]simplify: iters left: 5 (8 enodes) 1540341219.058 * * [misc]simplify: iters left: 4 (12 enodes) 1540341219.061 * * [misc]simplify: iters left: 3 (18 enodes) 1540341219.066 * * [misc]simplify: iters left: 2 (20 enodes) 1540341219.071 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1540341219.071 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2))) (sqrt k))) 1540341219.071 * * * * [misc]progress: [ 7 / 83 ] simplifiying candidate # 1540341219.072 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1540341219.072 * * [misc]simplify: iters left: 5 (6 enodes) 1540341219.073 * * [misc]simplify: iters left: 4 (8 enodes) 1540341219.076 * * [misc]simplify: iters left: 3 (11 enodes) 1540341219.079 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1540341219.079 * [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))) 1540341219.079 * * * * [misc]progress: [ 8 / 83 ] simplifiying candidate # 1540341219.079 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1540341219.079 * * [misc]simplify: iters left: 5 (6 enodes) 1540341219.081 * * [misc]simplify: iters left: 4 (8 enodes) 1540341219.083 * * [misc]simplify: iters left: 3 (11 enodes) 1540341219.086 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1540341219.086 * [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))) 1540341219.086 * * * * [misc]progress: [ 9 / 83 ] simplifiying candidate # 1540341219.086 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1540341219.086 * * [misc]simplify: iters left: 4 (5 enodes) 1540341219.088 * * [misc]simplify: iters left: 3 (7 enodes) 1540341219.090 * * [misc]simplify: iters left: 2 (10 enodes) 1540341219.093 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1540341219.093 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k))) 1540341219.093 * * * * [misc]progress: [ 10 / 83 ] simplifiying candidate # 1540341219.093 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1540341219.093 * * [misc]simplify: iters left: 5 (9 enodes) 1540341219.096 * * [misc]simplify: iters left: 4 (15 enodes) 1540341219.100 * * [misc]simplify: iters left: 3 (21 enodes) 1540341219.106 * * [misc]simplify: iters left: 2 (22 enodes) 1540341219.111 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1540341219.111 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1540341219.111 * * * * [misc]progress: [ 11 / 83 ] simplifiying candidate # 1540341219.111 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1540341219.111 * * [misc]simplify: iters left: 5 (9 enodes) 1540341219.114 * * [misc]simplify: iters left: 4 (15 enodes) 1540341219.118 * * [misc]simplify: iters left: 3 (21 enodes) 1540341219.124 * * [misc]simplify: iters left: 2 (22 enodes) 1540341219.130 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1540341219.130 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1540341219.130 * * * * [misc]progress: [ 12 / 83 ] simplifiying candidate # 1540341219.130 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1540341219.130 * * [misc]simplify: iters left: 5 (7 enodes) 1540341219.132 * * [misc]simplify: iters left: 4 (9 enodes) 1540341219.135 * * [misc]simplify: iters left: 3 (12 enodes) 1540341219.138 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1540341219.138 * [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))) 1540341219.138 * * * * [misc]progress: [ 13 / 83 ] simplifiying candidate # 1540341219.138 * * * * [misc]progress: [ 14 / 83 ] simplifiying candidate # 1540341219.138 * * * * [misc]progress: [ 15 / 83 ] simplifiying candidate # 1540341219.139 * * * * [misc]progress: [ 16 / 83 ] simplifiying candidate # 1540341219.139 * * * * [misc]progress: [ 17 / 83 ] simplifiying candidate # 1540341219.139 * * * * [misc]progress: [ 18 / 83 ] simplifiying candidate # 1540341219.139 * * * * [misc]progress: [ 19 / 83 ] simplifiying candidate # 1540341219.139 * * * * [misc]progress: [ 20 / 83 ] simplifiying candidate # 1540341219.139 * * * * [misc]progress: [ 21 / 83 ] simplifiying candidate # 1540341219.139 * * * * [misc]progress: [ 22 / 83 ] simplifiying candidate # 1540341219.139 * * * * [misc]progress: [ 23 / 83 ] simplifiying candidate # 1540341219.139 * * * * [misc]progress: [ 24 / 83 ] simplifiying candidate # 1540341219.139 * * * * [misc]progress: [ 25 / 83 ] simplifiying candidate # 1540341219.139 * * * * [misc]progress: [ 26 / 83 ] simplifiying candidate # 1540341219.139 * * * * [misc]progress: [ 27 / 83 ] simplifiying candidate # 1540341219.139 * * * * [misc]progress: [ 28 / 83 ] simplifiying candidate # 1540341219.139 * * * * [misc]progress: [ 29 / 83 ] simplifiying candidate # 1540341219.139 * * * * [misc]progress: [ 30 / 83 ] simplifiying candidate # 1540341219.139 * * * * [misc]progress: [ 31 / 83 ] simplifiying candidate # 1540341219.140 * * * * [misc]progress: [ 32 / 83 ] simplifiying candidate # 1540341219.140 * * * * [misc]progress: [ 33 / 83 ] simplifiying candidate # 1540341219.140 * * * * [misc]progress: [ 34 / 83 ] simplifiying candidate # 1540341219.140 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1540341219.140 * * [misc]simplify: iters left: 6 (14 enodes) 1540341219.144 * * [misc]simplify: iters left: 5 (27 enodes) 1540341219.153 * * [misc]simplify: iters left: 4 (55 enodes) 1540341219.178 * * [misc]simplify: iters left: 3 (144 enodes) 1540341219.249 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))) 1540341219.249 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))))) 1540341219.249 * * * * [misc]progress: [ 35 / 83 ] simplifiying candidate # 1540341219.249 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1540341219.249 * * [misc]simplify: iters left: 6 (14 enodes) 1540341219.254 * * [misc]simplify: iters left: 5 (27 enodes) 1540341219.265 * * [misc]simplify: iters left: 4 (55 enodes) 1540341219.279 * * [misc]simplify: iters left: 3 (144 enodes) 1540341219.349 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))) 1540341219.349 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))))) 1540341219.349 * * * * [misc]progress: [ 36 / 83 ] simplifiying candidate # 1540341219.350 * [enter]simplify: Simplifying (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k))) 1540341219.350 * * [misc]simplify: iters left: 6 (14 enodes) 1540341219.354 * * [misc]simplify: iters left: 5 (24 enodes) 1540341219.364 * * [misc]simplify: iters left: 4 (43 enodes) 1540341219.375 * * [misc]simplify: iters left: 3 (73 enodes) 1540341219.408 * * [misc]simplify: iters left: 2 (220 enodes) 1540341219.570 * [exit]simplify: Simplified to (fma (log (* (* PI 2) n)) (- 1/2 (/ k 2)) (- (log (sqrt k)))) 1540341219.570 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log (* (* PI 2) n)) (- 1/2 (/ k 2)) (- (log (sqrt k)))))) 1540341219.570 * * * * [misc]progress: [ 37 / 83 ] simplifiying candidate # 1540341219.570 * * * * [misc]progress: [ 38 / 83 ] simplifiying candidate # 1540341219.570 * * * * [misc]progress: [ 39 / 83 ] simplifiying candidate # 1540341219.570 * [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))) 1540341219.570 * * [misc]simplify: iters left: 6 (16 enodes) 1540341219.576 * * [misc]simplify: iters left: 5 (31 enodes) 1540341219.586 * * [misc]simplify: iters left: 4 (67 enodes) 1540341219.607 * * [misc]simplify: iters left: 3 (124 enodes) 1540341219.656 * * [misc]simplify: iters left: 2 (195 enodes) 1540341219.721 * * [misc]simplify: iters left: 1 (309 enodes) 1540341219.852 * [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)))) 1540341219.852 * [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)))))) 1540341219.852 * * * * [misc]progress: [ 40 / 83 ] simplifiying candidate # 1540341219.853 * * * * [misc]progress: [ 41 / 83 ] simplifiying candidate # 1540341219.853 * * * * [misc]progress: [ 42 / 83 ] simplifiying candidate # 1540341219.853 * * * * [misc]progress: [ 43 / 83 ] simplifiying candidate # 1540341219.853 * * * * [misc]progress: [ 44 / 83 ] simplifiying candidate # 1540341219.853 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540341219.853 * * [misc]simplify: iters left: 6 (12 enodes) 1540341219.857 * * [misc]simplify: iters left: 5 (19 enodes) 1540341219.862 * * [misc]simplify: iters left: 4 (25 enodes) 1540341219.869 * * [misc]simplify: iters left: 3 (26 enodes) 1540341219.876 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540341219.876 * [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))))) 1540341219.876 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1540341219.876 * * [misc]simplify: iters left: 6 (12 enodes) 1540341219.880 * * [misc]simplify: iters left: 5 (18 enodes) 1540341219.885 * * [misc]simplify: iters left: 4 (24 enodes) 1540341219.891 * * [misc]simplify: iters left: 3 (25 enodes) 1540341219.897 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1540341219.897 * [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))))) 1540341219.897 * * * * [misc]progress: [ 45 / 83 ] simplifiying candidate # 1540341219.898 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1540341219.898 * * [misc]simplify: iters left: 6 (11 enodes) 1540341219.901 * * [misc]simplify: iters left: 5 (16 enodes) 1540341219.907 * * [misc]simplify: iters left: 4 (22 enodes) 1540341219.910 * * [misc]simplify: iters left: 3 (24 enodes) 1540341219.913 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1540341219.913 * [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))))) 1540341219.913 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1540341219.913 * * [misc]simplify: iters left: 6 (12 enodes) 1540341219.915 * * [misc]simplify: iters left: 5 (18 enodes) 1540341219.917 * * [misc]simplify: iters left: 4 (24 enodes) 1540341219.920 * * [misc]simplify: iters left: 3 (25 enodes) 1540341219.923 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1540341219.923 * [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))))) 1540341219.923 * * * * [misc]progress: [ 46 / 83 ] simplifiying candidate # 1540341219.924 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1540341219.924 * * [misc]simplify: iters left: 6 (9 enodes) 1540341219.925 * * [misc]simplify: iters left: 5 (16 enodes) 1540341219.927 * * [misc]simplify: iters left: 4 (24 enodes) 1540341219.930 * * [misc]simplify: iters left: 3 (26 enodes) 1540341219.933 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1540341219.933 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1540341219.933 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1540341219.933 * * [misc]simplify: iters left: 6 (11 enodes) 1540341219.935 * * [misc]simplify: iters left: 5 (17 enodes) 1540341219.939 * * [misc]simplify: iters left: 4 (23 enodes) 1540341219.945 * * [misc]simplify: iters left: 3 (24 enodes) 1540341219.951 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1540341219.951 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1540341219.951 * * * * [misc]progress: [ 47 / 83 ] simplifiying candidate # 1540341219.951 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540341219.951 * * [misc]simplify: iters left: 6 (12 enodes) 1540341219.955 * * [misc]simplify: iters left: 5 (19 enodes) 1540341219.960 * * [misc]simplify: iters left: 4 (25 enodes) 1540341219.967 * * [misc]simplify: iters left: 3 (26 enodes) 1540341219.974 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540341219.974 * [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))))) 1540341219.974 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1540341219.974 * * [misc]simplify: iters left: 6 (12 enodes) 1540341219.978 * * [misc]simplify: iters left: 5 (18 enodes) 1540341219.983 * * [misc]simplify: iters left: 4 (24 enodes) 1540341219.989 * * [misc]simplify: iters left: 3 (25 enodes) 1540341219.995 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1540341219.995 * [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))))) 1540341219.995 * * * * [misc]progress: [ 48 / 83 ] simplifiying candidate # 1540341219.996 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1540341219.996 * * [misc]simplify: iters left: 6 (11 enodes) 1540341219.999 * * [misc]simplify: iters left: 5 (16 enodes) 1540341220.004 * * [misc]simplify: iters left: 4 (22 enodes) 1540341220.009 * * [misc]simplify: iters left: 3 (24 enodes) 1540341220.015 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1540341220.015 * [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))))) 1540341220.015 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1540341220.016 * * [misc]simplify: iters left: 6 (12 enodes) 1540341220.017 * * [misc]simplify: iters left: 5 (18 enodes) 1540341220.021 * * [misc]simplify: iters left: 4 (24 enodes) 1540341220.024 * * [misc]simplify: iters left: 3 (25 enodes) 1540341220.027 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1540341220.027 * [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))))) 1540341220.027 * * * * [misc]progress: [ 49 / 83 ] simplifiying candidate # 1540341220.027 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1540341220.027 * * [misc]simplify: iters left: 6 (9 enodes) 1540341220.028 * * [misc]simplify: iters left: 5 (16 enodes) 1540341220.031 * * [misc]simplify: iters left: 4 (24 enodes) 1540341220.033 * * [misc]simplify: iters left: 3 (26 enodes) 1540341220.036 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1540341220.036 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1540341220.036 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1540341220.036 * * [misc]simplify: iters left: 6 (11 enodes) 1540341220.038 * * [misc]simplify: iters left: 5 (17 enodes) 1540341220.040 * * [misc]simplify: iters left: 4 (23 enodes) 1540341220.043 * * [misc]simplify: iters left: 3 (24 enodes) 1540341220.049 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1540341220.049 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1540341220.049 * * * * [misc]progress: [ 50 / 83 ] simplifiying candidate # 1540341220.049 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540341220.049 * * [misc]simplify: iters left: 6 (11 enodes) 1540341220.053 * * [misc]simplify: iters left: 5 (15 enodes) 1540341220.057 * * [misc]simplify: iters left: 4 (18 enodes) 1540341220.062 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540341220.062 * [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))))) 1540341220.062 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1540341220.062 * * [misc]simplify: iters left: 6 (11 enodes) 1540341220.066 * * [misc]simplify: iters left: 5 (14 enodes) 1540341220.068 * * [misc]simplify: iters left: 4 (17 enodes) 1540341220.071 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1540341220.071 * [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))))) 1540341220.071 * * * * [misc]progress: [ 51 / 83 ] simplifiying candidate # 1540341220.071 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1540341220.071 * * [misc]simplify: iters left: 6 (10 enodes) 1540341220.073 * * [misc]simplify: iters left: 5 (12 enodes) 1540341220.075 * * [misc]simplify: iters left: 4 (15 enodes) 1540341220.077 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1540341220.077 * [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))))) 1540341220.077 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1540341220.077 * * [misc]simplify: iters left: 6 (11 enodes) 1540341220.078 * * [misc]simplify: iters left: 5 (14 enodes) 1540341220.080 * * [misc]simplify: iters left: 4 (17 enodes) 1540341220.082 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1540341220.082 * [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))))) 1540341220.082 * * * * [misc]progress: [ 52 / 83 ] simplifiying candidate # 1540341220.083 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) 1) 1540341220.083 * * [misc]simplify: iters left: 6 (9 enodes) 1540341220.084 * * [misc]simplify: iters left: 5 (13 enodes) 1540341220.086 * * [misc]simplify: iters left: 4 (18 enodes) 1540341220.088 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1540341220.088 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1540341220.088 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1540341220.088 * * [misc]simplify: iters left: 6 (10 enodes) 1540341220.090 * * [misc]simplify: iters left: 5 (13 enodes) 1540341220.091 * * [misc]simplify: iters left: 4 (16 enodes) 1540341220.093 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1540341220.093 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1540341220.094 * * * * [misc]progress: [ 53 / 83 ] simplifiying candidate # 1540341220.094 * [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)))) 1540341220.094 * * [misc]simplify: iters left: 6 (16 enodes) 1540341220.097 * * [misc]simplify: iters left: 5 (28 enodes) 1540341220.106 * * [misc]simplify: iters left: 4 (46 enodes) 1540341220.120 * * [misc]simplify: iters left: 3 (50 enodes) 1540341220.128 * * [misc]simplify: iters left: 2 (53 enodes) 1540341220.134 * [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)))) 1540341220.134 * [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))))) 1540341220.134 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1540341220.134 * * [misc]simplify: iters left: 6 (14 enodes) 1540341220.136 * * [misc]simplify: iters left: 5 (20 enodes) 1540341220.139 * * [misc]simplify: iters left: 4 (29 enodes) 1540341220.143 * * [misc]simplify: iters left: 3 (30 enodes) 1540341220.146 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1540341220.146 * [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))))) 1540341220.146 * * * * [misc]progress: [ 54 / 83 ] simplifiying candidate # 1540341220.146 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1540341220.147 * * [misc]simplify: iters left: 6 (15 enodes) 1540341220.149 * * [misc]simplify: iters left: 5 (23 enodes) 1540341220.152 * * [misc]simplify: iters left: 4 (34 enodes) 1540341220.160 * * [misc]simplify: iters left: 3 (37 enodes) 1540341220.165 * [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)))))) 1540341220.165 * [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))))) 1540341220.166 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1540341220.166 * * [misc]simplify: iters left: 6 (14 enodes) 1540341220.168 * * [misc]simplify: iters left: 5 (20 enodes) 1540341220.170 * * [misc]simplify: iters left: 4 (29 enodes) 1540341220.174 * * [misc]simplify: iters left: 3 (30 enodes) 1540341220.178 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1540341220.178 * [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))))) 1540341220.178 * * * * [misc]progress: [ 55 / 83 ] simplifiying candidate # 1540341220.178 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1) 1540341220.178 * * [misc]simplify: iters left: 6 (14 enodes) 1540341220.181 * * [misc]simplify: iters left: 5 (24 enodes) 1540341220.188 * * [misc]simplify: iters left: 4 (39 enodes) 1540341220.197 * * [misc]simplify: iters left: 3 (54 enodes) 1540341220.212 * * [misc]simplify: iters left: 2 (80 enodes) 1540341220.231 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1540341220.231 * [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)))) 1540341220.231 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1540341220.231 * * [misc]simplify: iters left: 6 (13 enodes) 1540341220.234 * * [misc]simplify: iters left: 5 (19 enodes) 1540341220.237 * * [misc]simplify: iters left: 4 (28 enodes) 1540341220.241 * * [misc]simplify: iters left: 3 (30 enodes) 1540341220.245 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1540341220.245 * [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)))) 1540341220.245 * * * * [misc]progress: [ 56 / 83 ] simplifiying candidate # 1540341220.245 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540341220.245 * * [misc]simplify: iters left: 6 (15 enodes) 1540341220.247 * * [misc]simplify: iters left: 5 (23 enodes) 1540341220.250 * * [misc]simplify: iters left: 4 (32 enodes) 1540341220.254 * * [misc]simplify: iters left: 3 (34 enodes) 1540341220.259 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540341220.259 * [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))))) 1540341220.259 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1540341220.259 * * [misc]simplify: iters left: 6 (14 enodes) 1540341220.261 * * [misc]simplify: iters left: 5 (20 enodes) 1540341220.264 * * [misc]simplify: iters left: 4 (29 enodes) 1540341220.271 * * [misc]simplify: iters left: 3 (30 enodes) 1540341220.278 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1540341220.278 * [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))))) 1540341220.278 * * * * [misc]progress: [ 57 / 83 ] simplifiying candidate # 1540341220.279 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1540341220.279 * * [misc]simplify: iters left: 6 (14 enodes) 1540341220.283 * * [misc]simplify: iters left: 5 (20 enodes) 1540341220.289 * * [misc]simplify: iters left: 4 (29 enodes) 1540341220.297 * * [misc]simplify: iters left: 3 (30 enodes) 1540341220.304 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1540341220.304 * [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))))) 1540341220.304 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1540341220.304 * * [misc]simplify: iters left: 6 (14 enodes) 1540341220.307 * * [misc]simplify: iters left: 5 (20 enodes) 1540341220.310 * * [misc]simplify: iters left: 4 (29 enodes) 1540341220.314 * * [misc]simplify: iters left: 3 (30 enodes) 1540341220.318 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1540341220.318 * [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))))) 1540341220.318 * * * * [misc]progress: [ 58 / 83 ] simplifiying candidate # 1540341220.318 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1) 1540341220.318 * * [misc]simplify: iters left: 6 (13 enodes) 1540341220.320 * * [misc]simplify: iters left: 5 (21 enodes) 1540341220.323 * * [misc]simplify: iters left: 4 (32 enodes) 1540341220.327 * * [misc]simplify: iters left: 3 (33 enodes) 1540341220.331 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) 1540341220.331 * [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)))) 1540341220.331 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1540341220.331 * * [misc]simplify: iters left: 6 (13 enodes) 1540341220.333 * * [misc]simplify: iters left: 5 (19 enodes) 1540341220.336 * * [misc]simplify: iters left: 4 (28 enodes) 1540341220.340 * * [misc]simplify: iters left: 3 (30 enodes) 1540341220.344 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1540341220.344 * [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)))) 1540341220.345 * * * * [misc]progress: [ 59 / 83 ] simplifiying candidate # 1540341220.345 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540341220.345 * * [misc]simplify: iters left: 6 (6 enodes) 1540341220.347 * * [misc]simplify: iters left: 5 (10 enodes) 1540341220.349 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1540341220.349 * [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))))) 1540341220.350 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1540341220.350 * * [misc]simplify: iters left: 6 (13 enodes) 1540341220.354 * * [misc]simplify: iters left: 5 (19 enodes) 1540341220.359 * * [misc]simplify: iters left: 4 (28 enodes) 1540341220.366 * * [misc]simplify: iters left: 3 (30 enodes) 1540341220.373 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1540341220.373 * [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))))) 1540341220.373 * * * * [misc]progress: [ 60 / 83 ] simplifiying candidate # 1540341220.374 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1540341220.374 * * [misc]simplify: iters left: 4 (5 enodes) 1540341220.375 * * [misc]simplify: iters left: 3 (7 enodes) 1540341220.377 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1540341220.377 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1540341220.377 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1540341220.377 * * [misc]simplify: iters left: 6 (13 enodes) 1540341220.381 * * [misc]simplify: iters left: 5 (19 enodes) 1540341220.386 * * [misc]simplify: iters left: 4 (28 enodes) 1540341220.393 * * [misc]simplify: iters left: 3 (30 enodes) 1540341220.401 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1540341220.401 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1540341220.401 * * * * [misc]progress: [ 61 / 83 ] simplifiying candidate # 1540341220.401 * [enter]simplify: Simplifying (/ 1 1) 1540341220.401 * * [misc]simplify: iters left: 2 (2 enodes) 1540341220.402 * * [misc]simplify: iters left: 1 (4 enodes) 1540341220.402 * [exit]simplify: Simplified to 1 1540341220.402 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) 1540341220.403 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1540341220.403 * * [misc]simplify: iters left: 6 (12 enodes) 1540341220.406 * * [misc]simplify: iters left: 5 (18 enodes) 1540341220.411 * * [misc]simplify: iters left: 4 (27 enodes) 1540341220.418 * * [misc]simplify: iters left: 3 (29 enodes) 1540341220.427 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)) 1540341220.427 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1540341220.427 * * * * [misc]progress: [ 62 / 83 ] simplifiying candidate # 1540341220.427 * * * * [misc]progress: [ 63 / 83 ] simplifiying candidate # 1540341220.427 * * * * [misc]progress: [ 64 / 83 ] simplifiying candidate # 1540341220.427 * * * * [misc]progress: [ 65 / 83 ] simplifiying candidate # 1540341220.428 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1540341220.428 * * [misc]simplify: iters left: 2 (3 enodes) 1540341220.428 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1540341220.428 * [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)))) 1540341220.429 * * * * [misc]progress: [ 66 / 83 ] simplifiying candidate # 1540341220.429 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1540341220.429 * * [misc]simplify: iters left: 2 (3 enodes) 1540341220.430 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1540341220.430 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1540341220.430 * * * * [misc]progress: [ 67 / 83 ] simplifiying candidate # 1540341220.430 * [enter]simplify: Simplifying (sqrt k) 1540341220.430 * * [misc]simplify: iters left: 1 (2 enodes) 1540341220.431 * [exit]simplify: Simplified to (sqrt k) 1540341220.431 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt k))) 1540341220.431 * * * * [misc]progress: [ 68 / 83 ] simplifiying candidate # 1540341220.431 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1540341220.431 * * [misc]simplify: iters left: 5 (7 enodes) 1540341220.433 * * [misc]simplify: iters left: 4 (12 enodes) 1540341220.437 * * [misc]simplify: iters left: 3 (18 enodes) 1540341220.441 * * [misc]simplify: iters left: 2 (20 enodes) 1540341220.447 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1540341220.447 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1540341220.447 * * * * [misc]progress: [ 69 / 83 ] simplifiying candidate # 1540341220.447 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1540341220.447 * * [misc]simplify: iters left: 5 (7 enodes) 1540341220.449 * * [misc]simplify: iters left: 4 (12 enodes) 1540341220.453 * * [misc]simplify: iters left: 3 (18 enodes) 1540341220.458 * * [misc]simplify: iters left: 2 (20 enodes) 1540341220.463 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1540341220.463 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1540341220.463 * * * * [misc]progress: [ 70 / 83 ] simplifiying candidate # 1540341220.463 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1540341220.463 * * [misc]simplify: iters left: 5 (7 enodes) 1540341220.465 * * [misc]simplify: iters left: 4 (9 enodes) 1540341220.468 * * [misc]simplify: iters left: 3 (12 enodes) 1540341220.471 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1540341220.471 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540341220.471 * * * * [misc]progress: [ 71 / 83 ] simplifiying candidate # 1540341220.471 * [enter]simplify: Simplifying (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1540341220.472 * * [misc]simplify: iters left: 6 (12 enodes) 1540341220.475 * * [misc]simplify: iters left: 5 (18 enodes) 1540341220.481 * * [misc]simplify: iters left: 4 (27 enodes) 1540341220.488 * * [misc]simplify: iters left: 3 (29 enodes) 1540341220.493 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1540341220.494 * [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))))))) 1540341220.494 * * * * [misc]progress: [ 72 / 83 ] simplifiying candidate # 1540341220.494 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1540341220.494 * * [misc]simplify: iters left: 6 (11 enodes) 1540341220.495 * * [misc]simplify: iters left: 5 (17 enodes) 1540341220.498 * * [misc]simplify: iters left: 4 (26 enodes) 1540341220.501 * * [misc]simplify: iters left: 3 (27 enodes) 1540341220.505 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1540341220.505 * [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))))))) 1540341220.505 * * * * [misc]progress: [ 73 / 83 ] simplifiying candidate # 1540341220.505 * * * * [misc]progress: [ 74 / 83 ] simplifiying candidate # 1540341220.505 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1540341220.505 * * [misc]simplify: iters left: 5 (7 enodes) 1540341220.506 * * [misc]simplify: iters left: 4 (12 enodes) 1540341220.508 * * [misc]simplify: iters left: 3 (18 enodes) 1540341220.510 * * [misc]simplify: iters left: 2 (20 enodes) 1540341220.513 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1540341220.513 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) 1540341220.513 * * * * [misc]progress: [ 75 / 83 ] simplifiying candidate # 1540341220.513 * [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))))) 1540341220.513 * * [misc]simplify: iters left: 6 (37 enodes) 1540341220.526 * * [misc]simplify: iters left: 5 (108 enodes) 1540341220.555 * * [misc]simplify: iters left: 4 (368 enodes) 1540341220.820 * [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)))))) 1540341220.820 * [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))) 1540341220.821 * * * * [misc]progress: [ 76 / 83 ] simplifiying candidate # 1540341220.821 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1540341220.821 * * [misc]simplify: iters left: 6 (15 enodes) 1540341220.827 * * [misc]simplify: iters left: 5 (33 enodes) 1540341220.832 * * [misc]simplify: iters left: 4 (64 enodes) 1540341220.845 * * [misc]simplify: iters left: 3 (179 enodes) 1540341220.984 * [exit]simplify: Simplified to (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) 1540341220.984 * [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))) 1540341220.984 * * * * [misc]progress: [ 77 / 83 ] simplifiying candidate # 1540341220.984 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1540341220.984 * * [misc]simplify: iters left: 6 (15 enodes) 1540341220.990 * * [misc]simplify: iters left: 5 (30 enodes) 1540341221.001 * * [misc]simplify: iters left: 4 (65 enodes) 1540341221.028 * * [misc]simplify: iters left: 3 (208 enodes) 1540341221.189 * [exit]simplify: Simplified to (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))) 1540341221.189 * [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))) 1540341221.189 * * * * [misc]progress: [ 78 / 83 ] simplifiying candidate # 1540341221.189 * [enter]simplify: Simplifying (* 2 (* n PI)) 1540341221.189 * * [misc]simplify: iters left: 4 (5 enodes) 1540341221.191 * * [misc]simplify: iters left: 3 (9 enodes) 1540341221.193 * * [misc]simplify: iters left: 2 (15 enodes) 1540341221.197 * * [misc]simplify: iters left: 1 (17 enodes) 1540341221.201 * [exit]simplify: Simplified to (* (* PI n) 2) 1540341221.201 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1540341221.201 * * * * [misc]progress: [ 79 / 83 ] simplifiying candidate # 1540341221.202 * [enter]simplify: Simplifying (* 2 (* n PI)) 1540341221.202 * * [misc]simplify: iters left: 4 (5 enodes) 1540341221.204 * * [misc]simplify: iters left: 3 (9 enodes) 1540341221.206 * * [misc]simplify: iters left: 2 (15 enodes) 1540341221.210 * * [misc]simplify: iters left: 1 (17 enodes) 1540341221.214 * [exit]simplify: Simplified to (* (* PI n) 2) 1540341221.214 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1540341221.214 * * * * [misc]progress: [ 80 / 83 ] simplifiying candidate # 1540341221.214 * [enter]simplify: Simplifying (* 2 (* n PI)) 1540341221.214 * * [misc]simplify: iters left: 4 (5 enodes) 1540341221.216 * * [misc]simplify: iters left: 3 (9 enodes) 1540341221.219 * * [misc]simplify: iters left: 2 (15 enodes) 1540341221.223 * * [misc]simplify: iters left: 1 (17 enodes) 1540341221.230 * [exit]simplify: Simplified to (* (* PI n) 2) 1540341221.230 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1540341221.230 * * * * [misc]progress: [ 81 / 83 ] simplifiying candidate # 1540341221.231 * [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)))))))))))))))))))))) 1540341221.231 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1540341221.231 * * * * [misc]progress: [ 82 / 83 ] simplifiying candidate # 1540341221.231 * [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)))))))) 1540341221.231 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1540341221.231 * * * * [misc]progress: [ 83 / 83 ] simplifiying candidate # 1540341221.232 * [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))))))))))) 1540341221.232 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1540341221.232 * * * [misc]progress: adding candidates to table 1540341222.167 * * [misc]progress: iteration 2 / 4 1540341222.167 * * * [misc]progress: picking best candidate 1540341222.254 * * * * [misc]pick: Picked # 1540341222.254 * * * [misc]progress: localizing error 1540341222.282 * * * [misc]progress: generating rewritten candidates 1540341222.282 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2 1) 1540341222.284 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1) 1540341222.287 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) 1540341222.302 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) 1540341222.304 * * * [misc]progress: generating series expansions 1540341222.304 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2 1) 1540341222.304 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1540341222.304 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1540341222.304 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540341222.304 * [misc]taylor: Taking taylor expansion of 2 in n 1540341222.304 * [misc]backup-simplify: Simplify 2 into 2 1540341222.304 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540341222.304 * [misc]taylor: Taking taylor expansion of n in n 1540341222.304 * [misc]backup-simplify: Simplify 0 into 0 1540341222.304 * [misc]backup-simplify: Simplify 1 into 1 1540341222.304 * [misc]taylor: Taking taylor expansion of PI in n 1540341222.304 * [misc]backup-simplify: Simplify PI into PI 1540341222.304 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540341222.304 * [misc]taylor: Taking taylor expansion of 2 in n 1540341222.304 * [misc]backup-simplify: Simplify 2 into 2 1540341222.304 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540341222.304 * [misc]taylor: Taking taylor expansion of n in n 1540341222.304 * [misc]backup-simplify: Simplify 0 into 0 1540341222.304 * [misc]backup-simplify: Simplify 1 into 1 1540341222.304 * [misc]taylor: Taking taylor expansion of PI in n 1540341222.304 * [misc]backup-simplify: Simplify PI into PI 1540341222.305 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540341222.305 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540341222.305 * [misc]backup-simplify: Simplify 0 into 0 1540341222.306 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540341222.307 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1540341222.307 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540341222.308 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1540341222.309 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1540341222.309 * [misc]backup-simplify: Simplify 0 into 0 1540341222.311 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1540341222.313 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1540341222.313 * [misc]backup-simplify: Simplify 0 into 0 1540341222.315 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1540341222.317 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1540341222.317 * [misc]backup-simplify: Simplify 0 into 0 1540341222.320 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1540341222.322 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1540341222.322 * [misc]backup-simplify: Simplify 0 into 0 1540341222.326 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1540341222.328 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1540341222.328 * [misc]backup-simplify: Simplify 0 into 0 1540341222.331 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1540341222.333 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1540341222.333 * [misc]backup-simplify: Simplify 0 into 0 1540341222.334 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1540341222.334 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1540341222.334 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1540341222.334 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540341222.334 * [misc]taylor: Taking taylor expansion of 2 in n 1540341222.334 * [misc]backup-simplify: Simplify 2 into 2 1540341222.334 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540341222.334 * [misc]taylor: Taking taylor expansion of PI in n 1540341222.334 * [misc]backup-simplify: Simplify PI into PI 1540341222.334 * [misc]taylor: Taking taylor expansion of n in n 1540341222.334 * [misc]backup-simplify: Simplify 0 into 0 1540341222.334 * [misc]backup-simplify: Simplify 1 into 1 1540341222.334 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540341222.334 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540341222.334 * [misc]taylor: Taking taylor expansion of 2 in n 1540341222.334 * [misc]backup-simplify: Simplify 2 into 2 1540341222.334 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540341222.334 * [misc]taylor: Taking taylor expansion of PI in n 1540341222.334 * [misc]backup-simplify: Simplify PI into PI 1540341222.334 * [misc]taylor: Taking taylor expansion of n in n 1540341222.334 * [misc]backup-simplify: Simplify 0 into 0 1540341222.334 * [misc]backup-simplify: Simplify 1 into 1 1540341222.334 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540341222.335 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540341222.335 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540341222.335 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540341222.336 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1540341222.336 * [misc]backup-simplify: Simplify 0 into 0 1540341222.337 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341222.337 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1540341222.337 * [misc]backup-simplify: Simplify 0 into 0 1540341222.338 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341222.339 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1540341222.339 * [misc]backup-simplify: Simplify 0 into 0 1540341222.340 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341222.342 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1540341222.342 * [misc]backup-simplify: Simplify 0 into 0 1540341222.343 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341222.345 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1540341222.345 * [misc]backup-simplify: Simplify 0 into 0 1540341222.346 * [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 1540341222.348 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1540341222.348 * [misc]backup-simplify: Simplify 0 into 0 1540341222.348 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1540341222.348 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1540341222.348 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1540341222.348 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540341222.348 * [misc]taylor: Taking taylor expansion of -2 in n 1540341222.348 * [misc]backup-simplify: Simplify -2 into -2 1540341222.348 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540341222.348 * [misc]taylor: Taking taylor expansion of PI in n 1540341222.348 * [misc]backup-simplify: Simplify PI into PI 1540341222.349 * [misc]taylor: Taking taylor expansion of n in n 1540341222.349 * [misc]backup-simplify: Simplify 0 into 0 1540341222.349 * [misc]backup-simplify: Simplify 1 into 1 1540341222.349 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540341222.349 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540341222.349 * [misc]taylor: Taking taylor expansion of -2 in n 1540341222.349 * [misc]backup-simplify: Simplify -2 into -2 1540341222.349 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540341222.349 * [misc]taylor: Taking taylor expansion of PI in n 1540341222.349 * [misc]backup-simplify: Simplify PI into PI 1540341222.349 * [misc]taylor: Taking taylor expansion of n in n 1540341222.349 * [misc]backup-simplify: Simplify 0 into 0 1540341222.349 * [misc]backup-simplify: Simplify 1 into 1 1540341222.349 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540341222.349 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540341222.349 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540341222.350 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540341222.351 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1540341222.351 * [misc]backup-simplify: Simplify 0 into 0 1540341222.351 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341222.352 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1540341222.352 * [misc]backup-simplify: Simplify 0 into 0 1540341222.353 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341222.354 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1540341222.354 * [misc]backup-simplify: Simplify 0 into 0 1540341222.355 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341222.357 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1540341222.357 * [misc]backup-simplify: Simplify 0 into 0 1540341222.360 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341222.363 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1540341222.363 * [misc]backup-simplify: Simplify 0 into 0 1540341222.364 * [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 1540341222.366 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1540341222.366 * [misc]backup-simplify: Simplify 0 into 0 1540341222.367 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1540341222.367 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1) 1540341222.367 * [misc]backup-simplify: Simplify (* (* 2 n) PI) into (* 2 (* n PI)) 1540341222.367 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1540341222.367 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540341222.367 * [misc]taylor: Taking taylor expansion of 2 in n 1540341222.367 * [misc]backup-simplify: Simplify 2 into 2 1540341222.367 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540341222.367 * [misc]taylor: Taking taylor expansion of n in n 1540341222.367 * [misc]backup-simplify: Simplify 0 into 0 1540341222.367 * [misc]backup-simplify: Simplify 1 into 1 1540341222.367 * [misc]taylor: Taking taylor expansion of PI in n 1540341222.367 * [misc]backup-simplify: Simplify PI into PI 1540341222.367 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540341222.367 * [misc]taylor: Taking taylor expansion of 2 in n 1540341222.367 * [misc]backup-simplify: Simplify 2 into 2 1540341222.367 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540341222.367 * [misc]taylor: Taking taylor expansion of n in n 1540341222.367 * [misc]backup-simplify: Simplify 0 into 0 1540341222.367 * [misc]backup-simplify: Simplify 1 into 1 1540341222.367 * [misc]taylor: Taking taylor expansion of PI in n 1540341222.367 * [misc]backup-simplify: Simplify PI into PI 1540341222.367 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540341222.367 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540341222.367 * [misc]backup-simplify: Simplify 0 into 0 1540341222.368 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540341222.368 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1540341222.368 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540341222.369 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1540341222.370 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1540341222.370 * [misc]backup-simplify: Simplify 0 into 0 1540341222.371 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1540341222.372 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1540341222.372 * [misc]backup-simplify: Simplify 0 into 0 1540341222.373 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1540341222.374 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1540341222.374 * [misc]backup-simplify: Simplify 0 into 0 1540341222.376 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1540341222.377 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1540341222.378 * [misc]backup-simplify: Simplify 0 into 0 1540341222.380 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1540341222.382 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1540341222.382 * [misc]backup-simplify: Simplify 0 into 0 1540341222.384 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1540341222.387 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1540341222.387 * [misc]backup-simplify: Simplify 0 into 0 1540341222.387 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1540341222.387 * [misc]backup-simplify: Simplify (* (* 2 (/ 1 n)) PI) into (* 2 (/ PI n)) 1540341222.387 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1540341222.387 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540341222.387 * [misc]taylor: Taking taylor expansion of 2 in n 1540341222.387 * [misc]backup-simplify: Simplify 2 into 2 1540341222.387 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540341222.387 * [misc]taylor: Taking taylor expansion of PI in n 1540341222.387 * [misc]backup-simplify: Simplify PI into PI 1540341222.387 * [misc]taylor: Taking taylor expansion of n in n 1540341222.387 * [misc]backup-simplify: Simplify 0 into 0 1540341222.387 * [misc]backup-simplify: Simplify 1 into 1 1540341222.388 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540341222.388 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540341222.388 * [misc]taylor: Taking taylor expansion of 2 in n 1540341222.388 * [misc]backup-simplify: Simplify 2 into 2 1540341222.388 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540341222.388 * [misc]taylor: Taking taylor expansion of PI in n 1540341222.388 * [misc]backup-simplify: Simplify PI into PI 1540341222.388 * [misc]taylor: Taking taylor expansion of n in n 1540341222.388 * [misc]backup-simplify: Simplify 0 into 0 1540341222.388 * [misc]backup-simplify: Simplify 1 into 1 1540341222.388 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540341222.388 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540341222.388 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540341222.389 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540341222.389 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1540341222.389 * [misc]backup-simplify: Simplify 0 into 0 1540341222.390 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341222.391 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1540341222.391 * [misc]backup-simplify: Simplify 0 into 0 1540341222.392 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341222.394 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1540341222.394 * [misc]backup-simplify: Simplify 0 into 0 1540341222.396 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341222.398 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1540341222.398 * [misc]backup-simplify: Simplify 0 into 0 1540341222.400 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341222.403 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1540341222.403 * [misc]backup-simplify: Simplify 0 into 0 1540341222.408 * [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 1540341222.412 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1540341222.412 * [misc]backup-simplify: Simplify 0 into 0 1540341222.412 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1540341222.412 * [misc]backup-simplify: Simplify (* (* 2 (/ 1 (- n))) PI) into (* -2 (/ PI n)) 1540341222.412 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1540341222.412 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540341222.412 * [misc]taylor: Taking taylor expansion of -2 in n 1540341222.412 * [misc]backup-simplify: Simplify -2 into -2 1540341222.412 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540341222.413 * [misc]taylor: Taking taylor expansion of PI in n 1540341222.413 * [misc]backup-simplify: Simplify PI into PI 1540341222.413 * [misc]taylor: Taking taylor expansion of n in n 1540341222.413 * [misc]backup-simplify: Simplify 0 into 0 1540341222.413 * [misc]backup-simplify: Simplify 1 into 1 1540341222.413 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540341222.413 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540341222.413 * [misc]taylor: Taking taylor expansion of -2 in n 1540341222.413 * [misc]backup-simplify: Simplify -2 into -2 1540341222.413 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540341222.413 * [misc]taylor: Taking taylor expansion of PI in n 1540341222.413 * [misc]backup-simplify: Simplify PI into PI 1540341222.413 * [misc]taylor: Taking taylor expansion of n in n 1540341222.413 * [misc]backup-simplify: Simplify 0 into 0 1540341222.413 * [misc]backup-simplify: Simplify 1 into 1 1540341222.413 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540341222.414 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540341222.414 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540341222.415 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540341222.416 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1540341222.416 * [misc]backup-simplify: Simplify 0 into 0 1540341222.417 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341222.418 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1540341222.418 * [misc]backup-simplify: Simplify 0 into 0 1540341222.420 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341222.421 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1540341222.421 * [misc]backup-simplify: Simplify 0 into 0 1540341222.423 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341222.425 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1540341222.425 * [misc]backup-simplify: Simplify 0 into 0 1540341222.426 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341222.427 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1540341222.427 * [misc]backup-simplify: Simplify 0 into 0 1540341222.429 * [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 1540341222.431 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1540341222.431 * [misc]backup-simplify: Simplify 0 into 0 1540341222.431 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1540341222.431 * * * * [misc]progress: [ 3 / 4 ] generating series at (2) 1540341222.431 * [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))) 1540341222.431 * [misc]approximate: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) (sqrt (/ (* n PI) k))) in (n k) around 0 1540341222.432 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) (sqrt (/ (* n PI) k))) in k 1540341222.432 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) in k 1540341222.432 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1540341222.432 * [misc]taylor: Taking taylor expansion of 2 in k 1540341222.432 * [misc]backup-simplify: Simplify 2 into 2 1540341222.432 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540341222.432 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540341222.432 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- (* 1/2 k))) in k 1540341222.432 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 (* n PI))))) in k 1540341222.432 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 (* n PI)))) in k 1540341222.432 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in k 1540341222.432 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540341222.432 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540341222.432 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540341222.432 * [misc]taylor: Taking taylor expansion of k in k 1540341222.432 * [misc]backup-simplify: Simplify 0 into 0 1540341222.432 * [misc]backup-simplify: Simplify 1 into 1 1540341222.432 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1540341222.432 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1540341222.432 * [misc]taylor: Taking taylor expansion of 2 in k 1540341222.432 * [misc]backup-simplify: Simplify 2 into 2 1540341222.432 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1540341222.432 * [misc]taylor: Taking taylor expansion of n in k 1540341222.432 * [misc]backup-simplify: Simplify n into n 1540341222.432 * [misc]taylor: Taking taylor expansion of PI in k 1540341222.432 * [misc]backup-simplify: Simplify PI into PI 1540341222.432 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1540341222.432 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1540341222.432 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1540341222.432 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540341222.432 * [misc]backup-simplify: Simplify (- 0) into 0 1540341222.433 * [misc]backup-simplify: Simplify (* 0 (log (* 2 (* n PI)))) into 0 1540341222.433 * [misc]backup-simplify: Simplify (- 0) into 0 1540341222.433 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1540341222.433 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1540341222.434 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1540341222.434 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1540341222.434 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540341222.434 * [misc]backup-simplify: Simplify (+ (* 0 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 1540341222.434 * [misc]backup-simplify: Simplify (exp 0) into 1 1540341222.434 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* n PI) k)) in k 1540341222.434 * [misc]taylor: Taking taylor expansion of (/ (* n PI) k) in k 1540341222.434 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1540341222.434 * [misc]taylor: Taking taylor expansion of n in k 1540341222.434 * [misc]backup-simplify: Simplify n into n 1540341222.434 * [misc]taylor: Taking taylor expansion of PI in k 1540341222.434 * [misc]backup-simplify: Simplify PI into PI 1540341222.434 * [misc]taylor: Taking taylor expansion of k in k 1540341222.434 * [misc]backup-simplify: Simplify 0 into 0 1540341222.434 * [misc]backup-simplify: Simplify 1 into 1 1540341222.434 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1540341222.434 * [misc]backup-simplify: Simplify (/ (* n PI) 1) into (* n PI) 1540341222.434 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540341222.435 * [misc]backup-simplify: Simplify (/ (* n PI) (* 2 (sqrt 0))) into (* +nan.0 (* n PI)) 1540341222.435 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) (sqrt (/ (* n PI) k))) in n 1540341222.435 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) in n 1540341222.435 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540341222.435 * [misc]taylor: Taking taylor expansion of 2 in n 1540341222.435 * [misc]backup-simplify: Simplify 2 into 2 1540341222.435 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540341222.435 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540341222.435 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- (* 1/2 k))) in n 1540341222.435 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 (* n PI))))) in n 1540341222.435 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 (* n PI)))) in n 1540341222.435 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in n 1540341222.435 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540341222.435 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540341222.435 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540341222.435 * [misc]taylor: Taking taylor expansion of k in n 1540341222.435 * [misc]backup-simplify: Simplify k into k 1540341222.435 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1540341222.435 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540341222.435 * [misc]taylor: Taking taylor expansion of 2 in n 1540341222.435 * [misc]backup-simplify: Simplify 2 into 2 1540341222.435 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540341222.435 * [misc]taylor: Taking taylor expansion of n in n 1540341222.435 * [misc]backup-simplify: Simplify 0 into 0 1540341222.435 * [misc]backup-simplify: Simplify 1 into 1 1540341222.435 * [misc]taylor: Taking taylor expansion of PI in n 1540341222.435 * [misc]backup-simplify: Simplify PI into PI 1540341222.435 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540341222.436 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540341222.436 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540341222.436 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1540341222.437 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540341222.437 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540341222.437 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540341222.437 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540341222.437 * [misc]backup-simplify: Simplify (* (- (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* -1/2 (* (+ (log n) (log (* 2 PI))) k)) 1540341222.438 * [misc]backup-simplify: Simplify (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) into (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) 1540341222.438 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* n PI) k)) in n 1540341222.438 * [misc]taylor: Taking taylor expansion of (/ (* n PI) k) in n 1540341222.438 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540341222.438 * [misc]taylor: Taking taylor expansion of n in n 1540341222.438 * [misc]backup-simplify: Simplify 0 into 0 1540341222.438 * [misc]backup-simplify: Simplify 1 into 1 1540341222.438 * [misc]taylor: Taking taylor expansion of PI in n 1540341222.438 * [misc]backup-simplify: Simplify PI into PI 1540341222.438 * [misc]taylor: Taking taylor expansion of k in n 1540341222.438 * [misc]backup-simplify: Simplify k into k 1540341222.438 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540341222.439 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540341222.439 * [misc]backup-simplify: Simplify (/ PI k) into (/ PI k) 1540341222.439 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540341222.439 * [misc]backup-simplify: Simplify (/ (/ PI k) (* 2 (sqrt 0))) into (* +nan.0 (/ PI k)) 1540341222.439 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) (sqrt (/ (* n PI) k))) in n 1540341222.439 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) in n 1540341222.439 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540341222.439 * [misc]taylor: Taking taylor expansion of 2 in n 1540341222.439 * [misc]backup-simplify: Simplify 2 into 2 1540341222.439 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540341222.439 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540341222.439 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- (* 1/2 k))) in n 1540341222.439 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 (* n PI))))) in n 1540341222.439 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 (* n PI)))) in n 1540341222.439 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in n 1540341222.439 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540341222.439 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540341222.439 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540341222.439 * [misc]taylor: Taking taylor expansion of k in n 1540341222.439 * [misc]backup-simplify: Simplify k into k 1540341222.439 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1540341222.439 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540341222.439 * [misc]taylor: Taking taylor expansion of 2 in n 1540341222.439 * [misc]backup-simplify: Simplify 2 into 2 1540341222.439 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540341222.439 * [misc]taylor: Taking taylor expansion of n in n 1540341222.440 * [misc]backup-simplify: Simplify 0 into 0 1540341222.440 * [misc]backup-simplify: Simplify 1 into 1 1540341222.440 * [misc]taylor: Taking taylor expansion of PI in n 1540341222.440 * [misc]backup-simplify: Simplify PI into PI 1540341222.440 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540341222.440 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540341222.440 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540341222.441 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1540341222.441 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540341222.441 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540341222.441 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540341222.441 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540341222.442 * [misc]backup-simplify: Simplify (* (- (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* -1/2 (* (+ (log n) (log (* 2 PI))) k)) 1540341222.442 * [misc]backup-simplify: Simplify (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) into (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) 1540341222.442 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* n PI) k)) in n 1540341222.442 * [misc]taylor: Taking taylor expansion of (/ (* n PI) k) in n 1540341222.442 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540341222.442 * [misc]taylor: Taking taylor expansion of n in n 1540341222.442 * [misc]backup-simplify: Simplify 0 into 0 1540341222.442 * [misc]backup-simplify: Simplify 1 into 1 1540341222.442 * [misc]taylor: Taking taylor expansion of PI in n 1540341222.442 * [misc]backup-simplify: Simplify PI into PI 1540341222.442 * [misc]taylor: Taking taylor expansion of k in n 1540341222.442 * [misc]backup-simplify: Simplify k into k 1540341222.442 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540341222.443 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540341222.443 * [misc]backup-simplify: Simplify (/ PI k) into (/ PI k) 1540341222.443 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540341222.443 * [misc]backup-simplify: Simplify (/ (/ PI k) (* 2 (sqrt 0))) into (* +nan.0 (/ PI k)) 1540341222.444 * [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)))) 1540341222.444 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))) 0) into 0 1540341222.444 * [misc]taylor: Taking taylor expansion of 0 in k 1540341222.444 * [misc]backup-simplify: Simplify 0 into 0 1540341222.444 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540341222.445 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1540341222.446 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1540341222.447 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1540341222.447 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1540341222.447 * [misc]backup-simplify: Simplify (- 0) into 0 1540341222.448 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540341222.448 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1540341222.449 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1540341222.450 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) into 0 1540341222.450 * [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))) 1540341222.450 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (* PI (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) k))) in k 1540341222.450 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (* PI (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) k)) in k 1540341222.450 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1540341222.450 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540341222.450 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt 2) (* PI (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) k) in k 1540341222.451 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* PI (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) in k 1540341222.451 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1540341222.451 * [misc]taylor: Taking taylor expansion of 2 in k 1540341222.451 * [misc]backup-simplify: Simplify 2 into 2 1540341222.451 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540341222.451 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540341222.451 * [misc]taylor: Taking taylor expansion of (* PI (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))) in k 1540341222.451 * [misc]taylor: Taking taylor expansion of PI in k 1540341222.451 * [misc]backup-simplify: Simplify PI into PI 1540341222.451 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) in k 1540341222.451 * [misc]taylor: Taking taylor expansion of (* -1/2 (* (+ (log n) (log (* 2 PI))) k)) in k 1540341222.451 * [misc]taylor: Taking taylor expansion of -1/2 in k 1540341222.451 * [misc]backup-simplify: Simplify -1/2 into -1/2 1540341222.451 * [misc]taylor: Taking taylor expansion of (* (+ (log n) (log (* 2 PI))) k) in k 1540341222.451 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1540341222.451 * [misc]taylor: Taking taylor expansion of (log n) in k 1540341222.451 * [misc]taylor: Taking taylor expansion of n in k 1540341222.451 * [misc]backup-simplify: Simplify n into n 1540341222.451 * [misc]backup-simplify: Simplify (log n) into (log n) 1540341222.451 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1540341222.451 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1540341222.451 * [misc]taylor: Taking taylor expansion of 2 in k 1540341222.451 * [misc]backup-simplify: Simplify 2 into 2 1540341222.451 * [misc]taylor: Taking taylor expansion of PI in k 1540341222.451 * [misc]backup-simplify: Simplify PI into PI 1540341222.451 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540341222.452 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540341222.452 * [misc]taylor: Taking taylor expansion of k in k 1540341222.452 * [misc]backup-simplify: Simplify 0 into 0 1540341222.452 * [misc]backup-simplify: Simplify 1 into 1 1540341222.452 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540341222.453 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) 0) into 0 1540341222.453 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1540341222.454 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1540341222.455 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1540341222.457 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1540341222.458 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540341222.458 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 1) (* 0 0)) into (+ (log n) (log (* 2 PI))) 1540341222.459 * [misc]backup-simplify: Simplify (+ (* -1/2 (+ (log n) (log (* 2 PI)))) (* 0 0)) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1540341222.459 * [misc]backup-simplify: Simplify (exp 0) into 1 1540341222.459 * [misc]taylor: Taking taylor expansion of k in k 1540341222.459 * [misc]backup-simplify: Simplify 0 into 0 1540341222.459 * [misc]backup-simplify: Simplify 1 into 1 1540341222.459 * [misc]backup-simplify: Simplify (* PI 1) into PI 1540341222.460 * [misc]backup-simplify: Simplify (* (sqrt 2) PI) into (* (sqrt 2) PI) 1540341222.460 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) PI) 1) into (* (sqrt 2) PI) 1540341222.461 * [misc]backup-simplify: Simplify (* +nan.0 (* (sqrt 2) PI)) into (* +nan.0 (* (sqrt 2) PI)) 1540341222.462 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1540341222.463 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1540341222.463 * [misc]backup-simplify: Simplify 0 into 0 1540341222.464 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1540341222.464 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ PI k) (/ 0 k)))) into 0 1540341222.465 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (/ PI k)) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow PI 2) (pow k 2))) 1540341222.465 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540341222.466 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1540341222.468 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1540341222.473 * [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 1540341222.473 * [misc]backup-simplify: Simplify (- 0) into 0 1540341222.474 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1540341222.474 * [misc]backup-simplify: Simplify (- 0) into 0 1540341222.474 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540341222.475 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1540341222.477 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1540341222.479 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1540341222.480 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))))) into 0 1540341222.481 * [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)))) 1540341222.481 * [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 1540341222.481 * [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 1540341222.481 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1540341222.481 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540341222.482 * [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 1540341222.482 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) in k 1540341222.482 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1540341222.482 * [misc]taylor: Taking taylor expansion of 2 in k 1540341222.482 * [misc]backup-simplify: Simplify 2 into 2 1540341222.482 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540341222.482 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540341222.482 * [misc]taylor: Taking taylor expansion of (* (pow PI 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))) in k 1540341222.482 * [misc]taylor: Taking taylor expansion of (pow PI 2) in k 1540341222.482 * [misc]taylor: Taking taylor expansion of PI in k 1540341222.482 * [misc]backup-simplify: Simplify PI into PI 1540341222.482 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) in k 1540341222.482 * [misc]taylor: Taking taylor expansion of (* -1/2 (* (+ (log n) (log (* 2 PI))) k)) in k 1540341222.482 * [misc]taylor: Taking taylor expansion of -1/2 in k 1540341222.482 * [misc]backup-simplify: Simplify -1/2 into -1/2 1540341222.482 * [misc]taylor: Taking taylor expansion of (* (+ (log n) (log (* 2 PI))) k) in k 1540341222.482 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1540341222.482 * [misc]taylor: Taking taylor expansion of (log n) in k 1540341222.482 * [misc]taylor: Taking taylor expansion of n in k 1540341222.482 * [misc]backup-simplify: Simplify n into n 1540341222.483 * [misc]backup-simplify: Simplify (log n) into (log n) 1540341222.483 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1540341222.483 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1540341222.483 * [misc]taylor: Taking taylor expansion of 2 in k 1540341222.483 * [misc]backup-simplify: Simplify 2 into 2 1540341222.483 * [misc]taylor: Taking taylor expansion of PI in k 1540341222.483 * [misc]backup-simplify: Simplify PI into PI 1540341222.483 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540341222.484 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540341222.484 * [misc]taylor: Taking taylor expansion of k in k 1540341222.484 * [misc]backup-simplify: Simplify 0 into 0 1540341222.484 * [misc]backup-simplify: Simplify 1 into 1 1540341222.484 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540341222.485 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) 0) into 0 1540341222.485 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1540341222.486 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1540341222.486 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1540341222.489 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1540341222.489 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540341222.490 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 1) (* 0 0)) into (+ (log n) (log (* 2 PI))) 1540341222.491 * [misc]backup-simplify: Simplify (+ (* -1/2 (+ (log n) (log (* 2 PI)))) (* 0 0)) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1540341222.491 * [misc]backup-simplify: Simplify (exp 0) into 1 1540341222.491 * [misc]taylor: Taking taylor expansion of (pow k 2) in k 1540341222.491 * [misc]taylor: Taking taylor expansion of k in k 1540341222.491 * [misc]backup-simplify: Simplify 0 into 0 1540341222.491 * [misc]backup-simplify: Simplify 1 into 1 1540341222.491 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1540341222.492 * [misc]backup-simplify: Simplify (* (pow PI 2) 1) into (pow PI 2) 1540341222.492 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2)) 1540341222.493 * [misc]backup-simplify: Simplify (* 1 1) into 1 1540341222.494 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) (pow PI 2)) 1) into (* (sqrt 2) (pow PI 2)) 1540341222.495 * [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))))) 1540341222.495 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 1540341222.497 * [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))))) 1540341222.499 * [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)))))) 1540341222.499 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1540341222.504 * [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)))))) 1540341222.507 * [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))))))) 1540341222.510 * [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))))))) 1540341222.513 * [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))))))) 1540341222.514 * [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))))) 1540341222.515 * [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))))) 1540341222.517 * [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))))))) 1540341222.520 * [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))))))) 1540341222.523 * [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)))))))) 1540341222.526 * [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)))))))) 1540341222.529 * [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)))))))) 1540341222.536 * [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)))))))))))))) 1540341222.536 * [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))) 1540341222.537 * [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 1540341222.537 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) (sqrt (/ (* PI k) n))) in k 1540341222.537 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) in k 1540341222.537 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1540341222.537 * [misc]taylor: Taking taylor expansion of 2 in k 1540341222.537 * [misc]backup-simplify: Simplify 2 into 2 1540341222.537 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540341222.537 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540341222.537 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) in k 1540341222.537 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1540341222.537 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1540341222.537 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in k 1540341222.537 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540341222.537 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540341222.537 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540341222.537 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540341222.537 * [misc]taylor: Taking taylor expansion of k in k 1540341222.537 * [misc]backup-simplify: Simplify 0 into 0 1540341222.538 * [misc]backup-simplify: Simplify 1 into 1 1540341222.538 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540341222.538 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1540341222.538 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1540341222.538 * [misc]taylor: Taking taylor expansion of 2 in k 1540341222.538 * [misc]backup-simplify: Simplify 2 into 2 1540341222.538 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1540341222.538 * [misc]taylor: Taking taylor expansion of PI in k 1540341222.538 * [misc]backup-simplify: Simplify PI into PI 1540341222.538 * [misc]taylor: Taking taylor expansion of n in k 1540341222.538 * [misc]backup-simplify: Simplify n into n 1540341222.538 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1540341222.538 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1540341222.538 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1540341222.538 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540341222.538 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540341222.539 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1540341222.539 * [misc]backup-simplify: Simplify (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) 1540341222.539 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* PI k) n)) in k 1540341222.539 * [misc]taylor: Taking taylor expansion of (/ (* PI k) n) in k 1540341222.539 * [misc]taylor: Taking taylor expansion of (* PI k) in k 1540341222.539 * [misc]taylor: Taking taylor expansion of PI in k 1540341222.539 * [misc]backup-simplify: Simplify PI into PI 1540341222.539 * [misc]taylor: Taking taylor expansion of k in k 1540341222.539 * [misc]backup-simplify: Simplify 0 into 0 1540341222.539 * [misc]backup-simplify: Simplify 1 into 1 1540341222.539 * [misc]taylor: Taking taylor expansion of n in k 1540341222.539 * [misc]backup-simplify: Simplify n into n 1540341222.539 * [misc]backup-simplify: Simplify (* PI 0) into 0 1540341222.540 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1540341222.540 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1540341222.540 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540341222.541 * [misc]backup-simplify: Simplify (/ (/ PI n) (* 2 (sqrt 0))) into (* +nan.0 (/ PI n)) 1540341222.541 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) (sqrt (/ (* PI k) n))) in n 1540341222.541 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) in n 1540341222.541 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540341222.541 * [misc]taylor: Taking taylor expansion of 2 in n 1540341222.541 * [misc]backup-simplify: Simplify 2 into 2 1540341222.541 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540341222.541 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540341222.541 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) in n 1540341222.541 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1540341222.541 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1540341222.541 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in n 1540341222.541 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540341222.541 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540341222.541 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540341222.541 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540341222.541 * [misc]taylor: Taking taylor expansion of k in n 1540341222.541 * [misc]backup-simplify: Simplify k into k 1540341222.542 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540341222.542 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1540341222.542 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540341222.542 * [misc]taylor: Taking taylor expansion of 2 in n 1540341222.542 * [misc]backup-simplify: Simplify 2 into 2 1540341222.542 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540341222.542 * [misc]taylor: Taking taylor expansion of PI in n 1540341222.542 * [misc]backup-simplify: Simplify PI into PI 1540341222.542 * [misc]taylor: Taking taylor expansion of n in n 1540341222.542 * [misc]backup-simplify: Simplify 0 into 0 1540341222.542 * [misc]backup-simplify: Simplify 1 into 1 1540341222.542 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540341222.542 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540341222.543 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540341222.543 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540341222.543 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540341222.544 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540341222.544 * [misc]backup-simplify: Simplify (* (- (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1540341222.545 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1540341222.545 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* PI k) n)) in n 1540341222.545 * [misc]taylor: Taking taylor expansion of (/ (* PI k) n) in n 1540341222.545 * [misc]taylor: Taking taylor expansion of (* PI k) in n 1540341222.545 * [misc]taylor: Taking taylor expansion of PI in n 1540341222.545 * [misc]backup-simplify: Simplify PI into PI 1540341222.545 * [misc]taylor: Taking taylor expansion of k in n 1540341222.545 * [misc]backup-simplify: Simplify k into k 1540341222.545 * [misc]taylor: Taking taylor expansion of n in n 1540341222.545 * [misc]backup-simplify: Simplify 0 into 0 1540341222.545 * [misc]backup-simplify: Simplify 1 into 1 1540341222.545 * [misc]backup-simplify: Simplify (* PI k) into (* PI k) 1540341222.545 * [misc]backup-simplify: Simplify (/ (* PI k) 1) into (* PI k) 1540341222.545 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540341222.546 * [misc]backup-simplify: Simplify (/ (* PI k) (* 2 (sqrt 0))) into (* +nan.0 (* PI k)) 1540341222.546 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) (sqrt (/ (* PI k) n))) in n 1540341222.546 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) in n 1540341222.546 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540341222.546 * [misc]taylor: Taking taylor expansion of 2 in n 1540341222.546 * [misc]backup-simplify: Simplify 2 into 2 1540341222.546 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540341222.546 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540341222.546 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) in n 1540341222.546 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1540341222.546 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1540341222.546 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in n 1540341222.546 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540341222.546 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540341222.547 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540341222.547 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540341222.547 * [misc]taylor: Taking taylor expansion of k in n 1540341222.547 * [misc]backup-simplify: Simplify k into k 1540341222.547 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540341222.547 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1540341222.547 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540341222.547 * [misc]taylor: Taking taylor expansion of 2 in n 1540341222.547 * [misc]backup-simplify: Simplify 2 into 2 1540341222.547 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540341222.547 * [misc]taylor: Taking taylor expansion of PI in n 1540341222.547 * [misc]backup-simplify: Simplify PI into PI 1540341222.547 * [misc]taylor: Taking taylor expansion of n in n 1540341222.547 * [misc]backup-simplify: Simplify 0 into 0 1540341222.547 * [misc]backup-simplify: Simplify 1 into 1 1540341222.547 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540341222.547 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540341222.548 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540341222.548 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540341222.548 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540341222.549 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540341222.549 * [misc]backup-simplify: Simplify (* (- (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1540341222.550 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1540341222.550 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* PI k) n)) in n 1540341222.550 * [misc]taylor: Taking taylor expansion of (/ (* PI k) n) in n 1540341222.550 * [misc]taylor: Taking taylor expansion of (* PI k) in n 1540341222.550 * [misc]taylor: Taking taylor expansion of PI in n 1540341222.550 * [misc]backup-simplify: Simplify PI into PI 1540341222.550 * [misc]taylor: Taking taylor expansion of k in n 1540341222.550 * [misc]backup-simplify: Simplify k into k 1540341222.550 * [misc]taylor: Taking taylor expansion of n in n 1540341222.550 * [misc]backup-simplify: Simplify 0 into 0 1540341222.550 * [misc]backup-simplify: Simplify 1 into 1 1540341222.550 * [misc]backup-simplify: Simplify (* PI k) into (* PI k) 1540341222.550 * [misc]backup-simplify: Simplify (/ (* PI k) 1) into (* PI k) 1540341222.551 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540341222.551 * [misc]backup-simplify: Simplify (/ (* PI k) (* 2 (sqrt 0))) into (* +nan.0 (* PI k)) 1540341222.552 * [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)) 1540341222.553 * [misc]backup-simplify: Simplify (* (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) 0) into 0 1540341222.554 * [misc]taylor: Taking taylor expansion of 0 in k 1540341222.554 * [misc]backup-simplify: Simplify 0 into 0 1540341222.554 * [misc]backup-simplify: Simplify 0 into 0 1540341222.554 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540341222.555 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540341222.555 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1540341222.558 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1540341222.558 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540341222.559 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540341222.559 * [misc]backup-simplify: Simplify (- 0) into 0 1540341222.559 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540341222.560 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1540341222.562 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1540341222.562 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))))) into 0 1540341222.563 * [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))))) 1540341222.563 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* PI k))))) in k 1540341222.563 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* PI k)))) in k 1540341222.564 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1540341222.564 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540341222.564 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* PI k))) in k 1540341222.564 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1540341222.564 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1540341222.564 * [misc]taylor: Taking taylor expansion of -1/2 in k 1540341222.564 * [misc]backup-simplify: Simplify -1/2 into -1/2 1540341222.564 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1540341222.564 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1540341222.564 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1540341222.564 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1540341222.564 * [misc]taylor: Taking taylor expansion of 2 in k 1540341222.564 * [misc]backup-simplify: Simplify 2 into 2 1540341222.564 * [misc]taylor: Taking taylor expansion of PI in k 1540341222.564 * [misc]backup-simplify: Simplify PI into PI 1540341222.564 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540341222.565 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540341222.565 * [misc]taylor: Taking taylor expansion of (log n) in k 1540341222.565 * [misc]taylor: Taking taylor expansion of n in k 1540341222.565 * [misc]backup-simplify: Simplify n into n 1540341222.565 * [misc]backup-simplify: Simplify (log n) into (log n) 1540341222.565 * [misc]taylor: Taking taylor expansion of k in k 1540341222.565 * [misc]backup-simplify: Simplify 0 into 0 1540341222.565 * [misc]backup-simplify: Simplify 1 into 1 1540341222.565 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1540341222.565 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1540341222.566 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1540341222.566 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1540341222.567 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1540341222.567 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* PI k)) in k 1540341222.567 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1540341222.567 * [misc]taylor: Taking taylor expansion of 2 in k 1540341222.567 * [misc]backup-simplify: Simplify 2 into 2 1540341222.567 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540341222.568 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540341222.568 * [misc]taylor: Taking taylor expansion of (* PI k) in k 1540341222.568 * [misc]taylor: Taking taylor expansion of PI in k 1540341222.568 * [misc]backup-simplify: Simplify PI into PI 1540341222.568 * [misc]taylor: Taking taylor expansion of k in k 1540341222.568 * [misc]backup-simplify: Simplify 0 into 0 1540341222.568 * [misc]backup-simplify: Simplify 1 into 1 1540341222.568 * [misc]backup-simplify: Simplify (* PI 0) into 0 1540341222.568 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1540341222.569 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) into 0 1540341222.569 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540341222.569 * [misc]backup-simplify: Simplify (- 0) into 0 1540341222.569 * [misc]backup-simplify: Simplify 0 into 0 1540341222.569 * [misc]backup-simplify: Simplify 0 into 0 1540341222.569 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 k)) into 0 1540341222.570 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)))) into 0 1540341222.570 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (* PI k)) 2) (+)) (* 2 0)) into (* +nan.0 (* (pow PI 2) (pow k 2))) 1540341222.570 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540341222.572 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341222.573 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1540341222.578 * [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 1540341222.578 * [misc]backup-simplify: Simplify (- 0) into 0 1540341222.578 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540341222.579 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1540341222.579 * [misc]backup-simplify: Simplify (- 0) into 0 1540341222.579 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540341222.580 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1540341222.582 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1540341222.584 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1540341222.585 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into 0 1540341222.587 * [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)))))) 1540341222.587 * [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 1540341222.587 * [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 1540341222.587 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1540341222.587 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540341222.587 * [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 1540341222.587 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1540341222.587 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1540341222.587 * [misc]taylor: Taking taylor expansion of -1/2 in k 1540341222.587 * [misc]backup-simplify: Simplify -1/2 into -1/2 1540341222.587 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1540341222.587 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1540341222.587 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1540341222.587 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1540341222.587 * [misc]taylor: Taking taylor expansion of 2 in k 1540341222.587 * [misc]backup-simplify: Simplify 2 into 2 1540341222.587 * [misc]taylor: Taking taylor expansion of PI in k 1540341222.587 * [misc]backup-simplify: Simplify PI into PI 1540341222.587 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540341222.588 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540341222.588 * [misc]taylor: Taking taylor expansion of (log n) in k 1540341222.588 * [misc]taylor: Taking taylor expansion of n in k 1540341222.588 * [misc]backup-simplify: Simplify n into n 1540341222.588 * [misc]backup-simplify: Simplify (log n) into (log n) 1540341222.588 * [misc]taylor: Taking taylor expansion of k in k 1540341222.588 * [misc]backup-simplify: Simplify 0 into 0 1540341222.588 * [misc]backup-simplify: Simplify 1 into 1 1540341222.588 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1540341222.588 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1540341222.589 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1540341222.589 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1540341222.589 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1540341222.589 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 2) (pow k 2))) in k 1540341222.589 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1540341222.589 * [misc]taylor: Taking taylor expansion of 2 in k 1540341222.589 * [misc]backup-simplify: Simplify 2 into 2 1540341222.590 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540341222.590 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540341222.590 * [misc]taylor: Taking taylor expansion of (* (pow PI 2) (pow k 2)) in k 1540341222.590 * [misc]taylor: Taking taylor expansion of (pow PI 2) in k 1540341222.590 * [misc]taylor: Taking taylor expansion of PI in k 1540341222.590 * [misc]backup-simplify: Simplify PI into PI 1540341222.590 * [misc]taylor: Taking taylor expansion of (pow k 2) in k 1540341222.590 * [misc]taylor: Taking taylor expansion of k in k 1540341222.590 * [misc]backup-simplify: Simplify 0 into 0 1540341222.590 * [misc]backup-simplify: Simplify 1 into 1 1540341222.590 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1540341222.591 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) PI) (* 0 0)) into (* (sqrt 2) PI) 1540341222.591 * [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)) 1540341222.592 * [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)))) 1540341222.593 * [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)))) 1540341222.594 * [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)))) 1540341222.594 * [misc]backup-simplify: Simplify 0 into 0 1540341222.594 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 k))) into 0 1540341222.594 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341222.595 * [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))) 1540341222.595 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540341222.596 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341222.597 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1540341222.602 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 1540341222.602 * [misc]backup-simplify: Simplify (- 0) into 0 1540341222.602 * [misc]backup-simplify: Simplify (- 0) into 0 1540341222.602 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540341222.602 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1540341222.602 * [misc]backup-simplify: Simplify (- 0) into 0 1540341222.603 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540341222.603 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1540341222.606 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1540341222.606 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1540341222.607 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1540341222.608 * [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)))))) 1540341222.608 * [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 1540341222.608 * [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 1540341222.608 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1540341222.608 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540341222.608 * [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 1540341222.608 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1540341222.608 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1540341222.608 * [misc]taylor: Taking taylor expansion of -1/2 in k 1540341222.608 * [misc]backup-simplify: Simplify -1/2 into -1/2 1540341222.608 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1540341222.608 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1540341222.608 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1540341222.608 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1540341222.608 * [misc]taylor: Taking taylor expansion of 2 in k 1540341222.608 * [misc]backup-simplify: Simplify 2 into 2 1540341222.608 * [misc]taylor: Taking taylor expansion of PI in k 1540341222.608 * [misc]backup-simplify: Simplify PI into PI 1540341222.608 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540341222.609 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540341222.609 * [misc]taylor: Taking taylor expansion of (log n) in k 1540341222.609 * [misc]taylor: Taking taylor expansion of n in k 1540341222.609 * [misc]backup-simplify: Simplify n into n 1540341222.609 * [misc]backup-simplify: Simplify (log n) into (log n) 1540341222.609 * [misc]taylor: Taking taylor expansion of k in k 1540341222.609 * [misc]backup-simplify: Simplify 0 into 0 1540341222.609 * [misc]backup-simplify: Simplify 1 into 1 1540341222.609 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1540341222.609 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1540341222.609 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1540341222.610 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1540341222.610 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1540341222.610 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 3) (pow k 3))) in k 1540341222.610 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1540341222.610 * [misc]taylor: Taking taylor expansion of 2 in k 1540341222.610 * [misc]backup-simplify: Simplify 2 into 2 1540341222.610 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540341222.610 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540341222.610 * [misc]taylor: Taking taylor expansion of (* (pow PI 3) (pow k 3)) in k 1540341222.610 * [misc]taylor: Taking taylor expansion of (pow PI 3) in k 1540341222.610 * [misc]taylor: Taking taylor expansion of PI in k 1540341222.611 * [misc]backup-simplify: Simplify PI into PI 1540341222.611 * [misc]taylor: Taking taylor expansion of (pow k 3) in k 1540341222.611 * [misc]taylor: Taking taylor expansion of k in k 1540341222.611 * [misc]backup-simplify: Simplify 0 into 0 1540341222.611 * [misc]backup-simplify: Simplify 1 into 1 1540341222.611 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 1540341222.612 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1540341222.613 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 PI) (* 0 0))) into 0 1540341222.614 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (+ (* 0 (* (sqrt 2) PI)) (* 0 0))) into 0 1540341222.614 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI))) (* 0 0))) into 0 1540341222.615 * [misc]backup-simplify: Simplify (- 0) into 0 1540341222.615 * [misc]backup-simplify: Simplify 0 into 0 1540341222.615 * [misc]backup-simplify: Simplify 0 into 0 1540341222.615 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1540341222.616 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341222.617 * [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))) 1540341222.617 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540341222.619 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341222.621 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1540341222.635 * [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 1540341222.635 * [misc]backup-simplify: Simplify (- 0) into 0 1540341222.635 * [misc]backup-simplify: Simplify (- 0) into 0 1540341222.636 * [misc]backup-simplify: Simplify (- 0) into 0 1540341222.636 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540341222.636 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k)))))) into 0 1540341222.637 * [misc]backup-simplify: Simplify (- 0) into 0 1540341222.638 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540341222.639 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))))) into 0 1540341222.645 * [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 1540341222.646 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1540341222.647 * [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 1540341222.650 * [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)))))) 1540341222.650 * [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 1540341222.650 * [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 1540341222.650 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1540341222.650 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540341222.650 * [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 1540341222.650 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1540341222.650 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1540341222.650 * [misc]taylor: Taking taylor expansion of -1/2 in k 1540341222.650 * [misc]backup-simplify: Simplify -1/2 into -1/2 1540341222.650 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1540341222.650 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1540341222.650 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1540341222.650 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1540341222.650 * [misc]taylor: Taking taylor expansion of 2 in k 1540341222.650 * [misc]backup-simplify: Simplify 2 into 2 1540341222.650 * [misc]taylor: Taking taylor expansion of PI in k 1540341222.650 * [misc]backup-simplify: Simplify PI into PI 1540341222.651 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540341222.651 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540341222.651 * [misc]taylor: Taking taylor expansion of (log n) in k 1540341222.651 * [misc]taylor: Taking taylor expansion of n in k 1540341222.651 * [misc]backup-simplify: Simplify n into n 1540341222.651 * [misc]backup-simplify: Simplify (log n) into (log n) 1540341222.651 * [misc]taylor: Taking taylor expansion of k in k 1540341222.651 * [misc]backup-simplify: Simplify 0 into 0 1540341222.651 * [misc]backup-simplify: Simplify 1 into 1 1540341222.651 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1540341222.652 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1540341222.653 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1540341222.653 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1540341222.654 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1540341222.654 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 4) (pow k 4))) in k 1540341222.654 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1540341222.654 * [misc]taylor: Taking taylor expansion of 2 in k 1540341222.654 * [misc]backup-simplify: Simplify 2 into 2 1540341222.654 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540341222.654 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540341222.654 * [misc]taylor: Taking taylor expansion of (* (pow PI 4) (pow k 4)) in k 1540341222.654 * [misc]taylor: Taking taylor expansion of (pow PI 4) in k 1540341222.654 * [misc]taylor: Taking taylor expansion of PI in k 1540341222.654 * [misc]backup-simplify: Simplify PI into PI 1540341222.654 * [misc]taylor: Taking taylor expansion of (pow k 4) in k 1540341222.654 * [misc]taylor: Taking taylor expansion of k in k 1540341222.654 * [misc]backup-simplify: Simplify 0 into 0 1540341222.654 * [misc]backup-simplify: Simplify 1 into 1 1540341222.655 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1540341222.655 * [misc]backup-simplify: Simplify (* 1 1) into 1 1540341222.656 * [misc]backup-simplify: Simplify (* (pow PI 2) 1) into (pow PI 2) 1540341222.656 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2)) 1540341222.658 * [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))) 1540341222.659 * [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)))) 1540341222.660 * [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))))) 1540341222.661 * [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))))) 1540341222.662 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1540341222.662 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1540341222.664 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1540341222.666 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (+ (* 0 0) (+ (* 0 (* (sqrt 2) PI)) (* 0 0)))) into 0 1540341222.668 * [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 1540341222.668 * [misc]backup-simplify: Simplify (- 0) into 0 1540341222.668 * [misc]backup-simplify: Simplify 0 into 0 1540341222.668 * [misc]backup-simplify: Simplify 0 into 0 1540341222.669 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 k))))) into 0 1540341222.669 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341222.670 * [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))) 1540341222.670 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540341222.671 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341222.673 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1540341222.685 * [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 1540341222.686 * [misc]backup-simplify: Simplify (- 0) into 0 1540341222.686 * [misc]backup-simplify: Simplify (- 0) into 0 1540341222.686 * [misc]backup-simplify: Simplify (- 0) into 0 1540341222.686 * [misc]backup-simplify: Simplify (- 0) into 0 1540341222.686 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540341222.687 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))))) into 0 1540341222.687 * [misc]backup-simplify: Simplify (- 0) into 0 1540341222.687 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540341222.688 * [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 1540341222.693 * [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 1540341222.694 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1540341222.695 * [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 1540341222.696 * [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)))))) 1540341222.696 * [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 1540341222.696 * [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 1540341222.696 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1540341222.696 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540341222.696 * [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 1540341222.697 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1540341222.697 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1540341222.697 * [misc]taylor: Taking taylor expansion of -1/2 in k 1540341222.697 * [misc]backup-simplify: Simplify -1/2 into -1/2 1540341222.697 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1540341222.697 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1540341222.697 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1540341222.697 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1540341222.697 * [misc]taylor: Taking taylor expansion of 2 in k 1540341222.697 * [misc]backup-simplify: Simplify 2 into 2 1540341222.697 * [misc]taylor: Taking taylor expansion of PI in k 1540341222.697 * [misc]backup-simplify: Simplify PI into PI 1540341222.697 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540341222.697 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540341222.697 * [misc]taylor: Taking taylor expansion of (log n) in k 1540341222.697 * [misc]taylor: Taking taylor expansion of n in k 1540341222.697 * [misc]backup-simplify: Simplify n into n 1540341222.697 * [misc]backup-simplify: Simplify (log n) into (log n) 1540341222.697 * [misc]taylor: Taking taylor expansion of k in k 1540341222.697 * [misc]backup-simplify: Simplify 0 into 0 1540341222.697 * [misc]backup-simplify: Simplify 1 into 1 1540341222.697 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1540341222.698 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1540341222.698 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1540341222.698 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1540341222.699 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1540341222.699 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 5) (pow k 5))) in k 1540341222.699 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1540341222.699 * [misc]taylor: Taking taylor expansion of 2 in k 1540341222.699 * [misc]backup-simplify: Simplify 2 into 2 1540341222.699 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540341222.699 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540341222.699 * [misc]taylor: Taking taylor expansion of (* (pow PI 5) (pow k 5)) in k 1540341222.699 * [misc]taylor: Taking taylor expansion of (pow PI 5) in k 1540341222.699 * [misc]taylor: Taking taylor expansion of PI in k 1540341222.699 * [misc]backup-simplify: Simplify PI into PI 1540341222.699 * [misc]taylor: Taking taylor expansion of (pow k 5) in k 1540341222.699 * [misc]taylor: Taking taylor expansion of k in k 1540341222.699 * [misc]backup-simplify: Simplify 0 into 0 1540341222.699 * [misc]backup-simplify: Simplify 1 into 1 1540341222.699 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1540341222.700 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 1540341222.701 * [misc]backup-simplify: Simplify (+ (* (pow PI 2) 0) (* 0 1)) into 0 1540341222.701 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 2))) into 0 1540341222.702 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (* 0 (* (sqrt 2) (pow PI 2)))) into 0 1540341222.703 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))))) into 0 1540341222.703 * [misc]backup-simplify: Simplify (- 0) into 0 1540341222.703 * [misc]backup-simplify: Simplify 0 into 0 1540341222.704 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1540341222.705 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1540341222.706 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1540341222.708 * [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 1540341222.709 * [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 1540341222.709 * [misc]backup-simplify: Simplify (- 0) into 0 1540341222.709 * [misc]backup-simplify: Simplify 0 into 0 1540341222.709 * [misc]backup-simplify: Simplify 0 into 0 1540341222.710 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))))) into 0 1540341222.710 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341222.712 * [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))) 1540341222.712 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540341222.713 * [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 1540341222.715 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1540341222.734 * [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 1540341222.734 * [misc]backup-simplify: Simplify (- 0) into 0 1540341222.734 * [misc]backup-simplify: Simplify (- 0) into 0 1540341222.734 * [misc]backup-simplify: Simplify (- 0) into 0 1540341222.734 * [misc]backup-simplify: Simplify (- 0) into 0 1540341222.734 * [misc]backup-simplify: Simplify (- 0) into 0 1540341222.734 * [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 1540341222.735 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k)))))))) into 0 1540341222.735 * [misc]backup-simplify: Simplify (- 0) into 0 1540341222.735 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540341222.736 * [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 1540341222.745 * [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 1540341222.746 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1540341222.747 * [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 1540341222.748 * [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)))))) 1540341222.748 * [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 1540341222.749 * [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 1540341222.749 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1540341222.749 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540341222.749 * [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 1540341222.749 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1540341222.749 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1540341222.749 * [misc]taylor: Taking taylor expansion of -1/2 in k 1540341222.749 * [misc]backup-simplify: Simplify -1/2 into -1/2 1540341222.749 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1540341222.749 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1540341222.749 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1540341222.749 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1540341222.749 * [misc]taylor: Taking taylor expansion of 2 in k 1540341222.749 * [misc]backup-simplify: Simplify 2 into 2 1540341222.749 * [misc]taylor: Taking taylor expansion of PI in k 1540341222.749 * [misc]backup-simplify: Simplify PI into PI 1540341222.749 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540341222.749 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540341222.749 * [misc]taylor: Taking taylor expansion of (log n) in k 1540341222.749 * [misc]taylor: Taking taylor expansion of n in k 1540341222.749 * [misc]backup-simplify: Simplify n into n 1540341222.749 * [misc]backup-simplify: Simplify (log n) into (log n) 1540341222.749 * [misc]taylor: Taking taylor expansion of k in k 1540341222.749 * [misc]backup-simplify: Simplify 0 into 0 1540341222.749 * [misc]backup-simplify: Simplify 1 into 1 1540341222.749 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1540341222.750 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1540341222.750 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1540341222.750 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1540341222.751 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1540341222.751 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 6) (pow k 6))) in k 1540341222.751 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1540341222.751 * [misc]taylor: Taking taylor expansion of 2 in k 1540341222.751 * [misc]backup-simplify: Simplify 2 into 2 1540341222.751 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540341222.751 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540341222.751 * [misc]taylor: Taking taylor expansion of (* (pow PI 6) (pow k 6)) in k 1540341222.751 * [misc]taylor: Taking taylor expansion of (pow PI 6) in k 1540341222.751 * [misc]taylor: Taking taylor expansion of PI in k 1540341222.751 * [misc]backup-simplify: Simplify PI into PI 1540341222.751 * [misc]taylor: Taking taylor expansion of (pow k 6) in k 1540341222.751 * [misc]taylor: Taking taylor expansion of k in k 1540341222.751 * [misc]backup-simplify: Simplify 0 into 0 1540341222.751 * [misc]backup-simplify: Simplify 1 into 1 1540341222.752 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1540341222.752 * [misc]backup-simplify: Simplify (* PI (pow PI 2)) into (pow PI 3) 1540341222.752 * [misc]backup-simplify: Simplify (* 1 1) into 1 1540341222.752 * [misc]backup-simplify: Simplify (* 1 1) into 1 1540341222.752 * [misc]backup-simplify: Simplify (* (pow PI 3) 1) into (pow PI 3) 1540341222.753 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 3)) into (* (sqrt 2) (pow PI 3)) 1540341222.754 * [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))) 1540341222.754 * [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)))) 1540341222.755 * [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))))) 1540341222.756 * [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))))) 1540341222.761 * [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))))))) 1540341222.761 * [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))) 1540341222.761 * [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 1540341222.761 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) (sqrt (/ -1 k))) in k 1540341222.761 * [misc]taylor: Taking taylor expansion of (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) in k 1540341222.761 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in k 1540341222.761 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1540341222.761 * [misc]taylor: Taking taylor expansion of -2 in k 1540341222.761 * [misc]backup-simplify: Simplify -2 into -2 1540341222.762 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1540341222.762 * [misc]taylor: Taking taylor expansion of PI in k 1540341222.762 * [misc]backup-simplify: Simplify PI into PI 1540341222.762 * [misc]taylor: Taking taylor expansion of n in k 1540341222.762 * [misc]backup-simplify: Simplify n into n 1540341222.762 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1540341222.762 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1540341222.762 * [misc]backup-simplify: Simplify (sqrt (* -2 (/ PI n))) into (sqrt (* -2 (/ PI n))) 1540341222.762 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 1540341222.762 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (/ PI n))) into 0 1540341222.762 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* -2 (/ PI n))))) into 0 1540341222.763 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) in k 1540341222.763 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) in k 1540341222.763 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n)))) in k 1540341222.763 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540341222.763 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540341222.763 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540341222.763 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540341222.763 * [misc]taylor: Taking taylor expansion of k in k 1540341222.763 * [misc]backup-simplify: Simplify 0 into 0 1540341222.763 * [misc]backup-simplify: Simplify 1 into 1 1540341222.763 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540341222.763 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1540341222.763 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1540341222.763 * [misc]taylor: Taking taylor expansion of -2 in k 1540341222.763 * [misc]backup-simplify: Simplify -2 into -2 1540341222.763 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1540341222.763 * [misc]taylor: Taking taylor expansion of PI in k 1540341222.763 * [misc]backup-simplify: Simplify PI into PI 1540341222.763 * [misc]taylor: Taking taylor expansion of n in k 1540341222.763 * [misc]backup-simplify: Simplify n into n 1540341222.763 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1540341222.763 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1540341222.763 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1540341222.764 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540341222.764 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1540341222.764 * [misc]backup-simplify: Simplify (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))) 1540341222.764 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540341222.764 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540341222.764 * [misc]taylor: Taking taylor expansion of -1 in k 1540341222.764 * [misc]backup-simplify: Simplify -1 into -1 1540341222.764 * [misc]taylor: Taking taylor expansion of k in k 1540341222.764 * [misc]backup-simplify: Simplify 0 into 0 1540341222.764 * [misc]backup-simplify: Simplify 1 into 1 1540341222.764 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540341222.764 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540341222.765 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540341222.765 * [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)))) 1540341222.766 * [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))))) 1540341222.766 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) (sqrt (/ -1 k))) in n 1540341222.766 * [misc]taylor: Taking taylor expansion of (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) in n 1540341222.766 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1540341222.766 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540341222.766 * [misc]taylor: Taking taylor expansion of -2 in n 1540341222.766 * [misc]backup-simplify: Simplify -2 into -2 1540341222.766 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540341222.766 * [misc]taylor: Taking taylor expansion of PI in n 1540341222.766 * [misc]backup-simplify: Simplify PI into PI 1540341222.766 * [misc]taylor: Taking taylor expansion of n in n 1540341222.766 * [misc]backup-simplify: Simplify 0 into 0 1540341222.766 * [misc]backup-simplify: Simplify 1 into 1 1540341222.766 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540341222.767 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540341222.767 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540341222.767 * [misc]backup-simplify: Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1540341222.768 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) in n 1540341222.768 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) in n 1540341222.768 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n)))) in n 1540341222.768 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540341222.768 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540341222.768 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540341222.768 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540341222.768 * [misc]taylor: Taking taylor expansion of k in n 1540341222.768 * [misc]backup-simplify: Simplify k into k 1540341222.768 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540341222.768 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1540341222.768 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540341222.768 * [misc]taylor: Taking taylor expansion of -2 in n 1540341222.768 * [misc]backup-simplify: Simplify -2 into -2 1540341222.768 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540341222.768 * [misc]taylor: Taking taylor expansion of PI in n 1540341222.768 * [misc]backup-simplify: Simplify PI into PI 1540341222.768 * [misc]taylor: Taking taylor expansion of n in n 1540341222.768 * [misc]backup-simplify: Simplify 0 into 0 1540341222.768 * [misc]backup-simplify: Simplify 1 into 1 1540341222.768 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540341222.769 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540341222.769 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1540341222.769 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540341222.770 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540341222.770 * [misc]backup-simplify: Simplify (* (/ 1/2 k) (- (log (* -2 PI)) (log n))) into (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) 1540341222.771 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1540341222.771 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1540341222.771 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1540341222.771 * [misc]taylor: Taking taylor expansion of -1 in n 1540341222.771 * [misc]backup-simplify: Simplify -1 into -1 1540341222.771 * [misc]taylor: Taking taylor expansion of k in n 1540341222.771 * [misc]backup-simplify: Simplify k into k 1540341222.771 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1540341222.771 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1540341222.771 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1540341222.772 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1540341222.772 * [misc]backup-simplify: Simplify (* 0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) into 0 1540341222.773 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540341222.774 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1540341222.777 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1540341222.777 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540341222.777 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540341222.778 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540341222.778 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1540341222.780 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1540341222.781 * [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)))))) 1540341222.782 * [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)))) 1540341222.782 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) (sqrt (/ -1 k))) in n 1540341222.782 * [misc]taylor: Taking taylor expansion of (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) in n 1540341222.782 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1540341222.782 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540341222.782 * [misc]taylor: Taking taylor expansion of -2 in n 1540341222.782 * [misc]backup-simplify: Simplify -2 into -2 1540341222.782 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540341222.782 * [misc]taylor: Taking taylor expansion of PI in n 1540341222.782 * [misc]backup-simplify: Simplify PI into PI 1540341222.782 * [misc]taylor: Taking taylor expansion of n in n 1540341222.782 * [misc]backup-simplify: Simplify 0 into 0 1540341222.782 * [misc]backup-simplify: Simplify 1 into 1 1540341222.782 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540341222.783 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540341222.783 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540341222.783 * [misc]backup-simplify: Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1540341222.783 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) in n 1540341222.783 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) in n 1540341222.784 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n)))) in n 1540341222.784 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540341222.784 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540341222.784 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540341222.784 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540341222.784 * [misc]taylor: Taking taylor expansion of k in n 1540341222.784 * [misc]backup-simplify: Simplify k into k 1540341222.784 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540341222.784 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1540341222.784 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540341222.784 * [misc]taylor: Taking taylor expansion of -2 in n 1540341222.784 * [misc]backup-simplify: Simplify -2 into -2 1540341222.784 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540341222.784 * [misc]taylor: Taking taylor expansion of PI in n 1540341222.784 * [misc]backup-simplify: Simplify PI into PI 1540341222.784 * [misc]taylor: Taking taylor expansion of n in n 1540341222.784 * [misc]backup-simplify: Simplify 0 into 0 1540341222.784 * [misc]backup-simplify: Simplify 1 into 1 1540341222.784 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540341222.785 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540341222.785 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1540341222.785 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540341222.786 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540341222.786 * [misc]backup-simplify: Simplify (* (/ 1/2 k) (- (log (* -2 PI)) (log n))) into (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) 1540341222.787 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1540341222.787 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1540341222.787 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1540341222.787 * [misc]taylor: Taking taylor expansion of -1 in n 1540341222.787 * [misc]backup-simplify: Simplify -1 into -1 1540341222.787 * [misc]taylor: Taking taylor expansion of k in n 1540341222.787 * [misc]backup-simplify: Simplify k into k 1540341222.787 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1540341222.787 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1540341222.787 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1540341222.787 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1540341222.788 * [misc]backup-simplify: Simplify (* 0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) into 0 1540341222.789 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540341222.790 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1540341222.792 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1540341222.793 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540341222.793 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540341222.794 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540341222.794 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1540341222.796 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1540341222.797 * [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)))))) 1540341222.798 * [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)))) 1540341222.798 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k)))) in k 1540341222.798 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1540341222.798 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540341222.798 * [misc]taylor: Taking taylor expansion of (/ (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k))) in k 1540341222.798 * [misc]taylor: Taking taylor expansion of (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) in k 1540341222.798 * [misc]taylor: Taking taylor expansion of PI in k 1540341222.798 * [misc]backup-simplify: Simplify PI into PI 1540341222.798 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k 1540341222.798 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k 1540341222.798 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540341222.798 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540341222.798 * [misc]taylor: Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k 1540341222.798 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1540341222.798 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1540341222.798 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1540341222.798 * [misc]taylor: Taking taylor expansion of -2 in k 1540341222.798 * [misc]backup-simplify: Simplify -2 into -2 1540341222.798 * [misc]taylor: Taking taylor expansion of PI in k 1540341222.798 * [misc]backup-simplify: Simplify PI into PI 1540341222.798 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540341222.799 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1540341222.799 * [misc]taylor: Taking taylor expansion of (log n) in k 1540341222.799 * [misc]taylor: Taking taylor expansion of n in k 1540341222.799 * [misc]backup-simplify: Simplify n into n 1540341222.799 * [misc]backup-simplify: Simplify (log n) into (log n) 1540341222.799 * [misc]taylor: Taking taylor expansion of k in k 1540341222.799 * [misc]backup-simplify: Simplify 0 into 0 1540341222.799 * [misc]backup-simplify: Simplify 1 into 1 1540341222.800 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1540341222.800 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1540341222.801 * [misc]backup-simplify: Simplify (/ (- (log (* -2 PI)) (log n)) 1) into (- (log (* -2 PI)) (log n)) 1540341222.801 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1540341222.802 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1540341222.802 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540341222.802 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540341222.802 * [misc]taylor: Taking taylor expansion of -1 in k 1540341222.802 * [misc]backup-simplify: Simplify -1 into -1 1540341222.802 * [misc]taylor: Taking taylor expansion of k in k 1540341222.802 * [misc]backup-simplify: Simplify 0 into 0 1540341222.802 * [misc]backup-simplify: Simplify 1 into 1 1540341222.802 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540341222.802 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540341222.804 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540341222.805 * [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)))) 1540341222.805 * [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))))) 1540341222.806 * [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))))) 1540341222.807 * [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))))) 1540341222.809 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341222.810 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1540341222.815 * [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 1540341222.815 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540341222.815 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1540341222.816 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540341222.817 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1540341222.819 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1540341222.820 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540341222.821 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1540341222.822 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1540341222.824 * [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)))))) 1540341222.826 * [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))))) 1540341222.826 * [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 1540341222.826 * [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 1540341222.826 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1540341222.826 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540341222.826 * [misc]taylor: Taking taylor expansion of (/ (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k))) in k 1540341222.826 * [misc]taylor: Taking taylor expansion of (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) in k 1540341222.826 * [misc]taylor: Taking taylor expansion of (pow PI 2) in k 1540341222.827 * [misc]taylor: Taking taylor expansion of PI in k 1540341222.827 * [misc]backup-simplify: Simplify PI into PI 1540341222.827 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k 1540341222.827 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k 1540341222.827 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540341222.827 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540341222.827 * [misc]taylor: Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k 1540341222.827 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1540341222.827 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1540341222.827 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1540341222.827 * [misc]taylor: Taking taylor expansion of -2 in k 1540341222.827 * [misc]backup-simplify: Simplify -2 into -2 1540341222.827 * [misc]taylor: Taking taylor expansion of PI in k 1540341222.827 * [misc]backup-simplify: Simplify PI into PI 1540341222.827 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540341222.828 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1540341222.828 * [misc]taylor: Taking taylor expansion of (log n) in k 1540341222.828 * [misc]taylor: Taking taylor expansion of n in k 1540341222.828 * [misc]backup-simplify: Simplify n into n 1540341222.828 * [misc]backup-simplify: Simplify (log n) into (log n) 1540341222.828 * [misc]taylor: Taking taylor expansion of k in k 1540341222.828 * [misc]backup-simplify: Simplify 0 into 0 1540341222.828 * [misc]backup-simplify: Simplify 1 into 1 1540341222.828 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1540341222.828 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1540341222.829 * [misc]backup-simplify: Simplify (/ (- (log (* -2 PI)) (log n)) 1) into (- (log (* -2 PI)) (log n)) 1540341222.830 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1540341222.830 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1540341222.830 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540341222.830 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540341222.830 * [misc]taylor: Taking taylor expansion of -1 in k 1540341222.830 * [misc]backup-simplify: Simplify -1 into -1 1540341222.830 * [misc]taylor: Taking taylor expansion of k in k 1540341222.830 * [misc]backup-simplify: Simplify 0 into 0 1540341222.830 * [misc]backup-simplify: Simplify 1 into 1 1540341222.830 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540341222.831 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540341222.831 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540341222.831 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1540341222.832 * [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)))) 1540341222.833 * [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))))) 1540341222.834 * [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))))) 1540341222.835 * [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)))))) 1540341222.836 * [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)))))) 1540341222.837 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into 0 1540341222.837 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1540341222.839 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540341222.840 * [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)))))) 1540341222.841 * [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)))))) 1540341222.842 * [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)))))) 1540341222.844 * [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))))))) 1540341222.845 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1) 1540341222.845 * [misc]backup-simplify: Simplify (sqrt (* (* 2 n) PI)) into (* (sqrt 2) (sqrt (* n PI))) 1540341222.845 * [misc]approximate: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in (n) around 0 1540341222.845 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1540341222.845 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540341222.845 * [misc]taylor: Taking taylor expansion of 2 in n 1540341222.845 * [misc]backup-simplify: Simplify 2 into 2 1540341222.845 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540341222.845 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540341222.845 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1540341222.845 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540341222.845 * [misc]taylor: Taking taylor expansion of n in n 1540341222.845 * [misc]backup-simplify: Simplify 0 into 0 1540341222.845 * [misc]backup-simplify: Simplify 1 into 1 1540341222.846 * [misc]taylor: Taking taylor expansion of PI in n 1540341222.846 * [misc]backup-simplify: Simplify PI into PI 1540341222.846 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540341222.847 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540341222.847 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540341222.847 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540341222.847 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1540341222.847 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540341222.847 * [misc]taylor: Taking taylor expansion of 2 in n 1540341222.847 * [misc]backup-simplify: Simplify 2 into 2 1540341222.847 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540341222.848 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540341222.848 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1540341222.848 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540341222.848 * [misc]taylor: Taking taylor expansion of n in n 1540341222.848 * [misc]backup-simplify: Simplify 0 into 0 1540341222.848 * [misc]backup-simplify: Simplify 1 into 1 1540341222.848 * [misc]taylor: Taking taylor expansion of PI in n 1540341222.848 * [misc]backup-simplify: Simplify PI into PI 1540341222.848 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540341222.848 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540341222.848 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540341222.849 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540341222.849 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1540341222.849 * [misc]backup-simplify: Simplify 0 into 0 1540341222.850 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1540341222.850 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1540341222.851 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1540341222.852 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1540341222.853 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1540341222.854 * [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)))) 1540341222.855 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1540341222.856 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1540341222.858 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 PI) (* +nan.0 (pow PI 2)))))) (* 2 0)) into (* +nan.0 (pow PI 3)) 1540341222.858 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1540341222.860 * [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)))) 1540341222.861 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) 1540341222.863 * [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))))))))) 1540341222.864 * [misc]backup-simplify: Simplify (sqrt (* (* 2 (/ 1 n)) PI)) into (* (sqrt 2) (sqrt (/ PI n))) 1540341222.864 * [misc]approximate: Taking taylor expansion of (* (sqrt 2) (sqrt (/ PI n))) in (n) around 0 1540341222.864 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (/ PI n))) in n 1540341222.864 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540341222.864 * [misc]taylor: Taking taylor expansion of 2 in n 1540341222.864 * [misc]backup-simplify: Simplify 2 into 2 1540341222.864 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540341222.864 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540341222.864 * [misc]taylor: Taking taylor expansion of (sqrt (/ PI n)) in n 1540341222.864 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540341222.864 * [misc]taylor: Taking taylor expansion of PI in n 1540341222.864 * [misc]backup-simplify: Simplify PI into PI 1540341222.864 * [misc]taylor: Taking taylor expansion of n in n 1540341222.864 * [misc]backup-simplify: Simplify 0 into 0 1540341222.864 * [misc]backup-simplify: Simplify 1 into 1 1540341222.864 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540341222.864 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540341222.865 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540341222.865 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (/ PI n))) in n 1540341222.865 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540341222.865 * [misc]taylor: Taking taylor expansion of 2 in n 1540341222.865 * [misc]backup-simplify: Simplify 2 into 2 1540341222.865 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540341222.865 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540341222.865 * [misc]taylor: Taking taylor expansion of (sqrt (/ PI n)) in n 1540341222.865 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540341222.865 * [misc]taylor: Taking taylor expansion of PI in n 1540341222.865 * [misc]backup-simplify: Simplify PI into PI 1540341222.865 * [misc]taylor: Taking taylor expansion of n in n 1540341222.865 * [misc]backup-simplify: Simplify 0 into 0 1540341222.865 * [misc]backup-simplify: Simplify 1 into 1 1540341222.865 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540341222.865 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540341222.866 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540341222.866 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1540341222.866 * [misc]backup-simplify: Simplify 0 into 0 1540341222.867 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1540341222.867 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1540341222.868 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540341222.869 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1540341222.870 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1540341222.871 * [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)))) 1540341222.872 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1540341222.873 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341222.875 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 PI) (* +nan.0 (pow PI 2)))))) (* 2 0)) into (* +nan.0 (pow PI 3)) 1540341222.875 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1540341222.878 * [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)))) 1540341222.879 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) 1540341222.883 * [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))))))) 1540341222.884 * [misc]backup-simplify: Simplify (sqrt (* (* 2 (/ 1 (- n))) PI)) into (sqrt (* -2 (/ PI n))) 1540341222.884 * [misc]approximate: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in (n) around 0 1540341222.884 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1540341222.884 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540341222.884 * [misc]taylor: Taking taylor expansion of -2 in n 1540341222.884 * [misc]backup-simplify: Simplify -2 into -2 1540341222.884 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540341222.884 * [misc]taylor: Taking taylor expansion of PI in n 1540341222.884 * [misc]backup-simplify: Simplify PI into PI 1540341222.884 * [misc]taylor: Taking taylor expansion of n in n 1540341222.884 * [misc]backup-simplify: Simplify 0 into 0 1540341222.884 * [misc]backup-simplify: Simplify 1 into 1 1540341222.884 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540341222.884 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540341222.885 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540341222.885 * [misc]backup-simplify: Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1540341222.885 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1540341222.885 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540341222.885 * [misc]taylor: Taking taylor expansion of -2 in n 1540341222.885 * [misc]backup-simplify: Simplify -2 into -2 1540341222.885 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540341222.885 * [misc]taylor: Taking taylor expansion of PI in n 1540341222.885 * [misc]backup-simplify: Simplify PI into PI 1540341222.886 * [misc]taylor: Taking taylor expansion of n in n 1540341222.886 * [misc]backup-simplify: Simplify 0 into 0 1540341222.886 * [misc]backup-simplify: Simplify 1 into 1 1540341222.886 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540341222.886 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540341222.886 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540341222.887 * [misc]backup-simplify: Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1540341222.887 * [misc]backup-simplify: Simplify 0 into 0 1540341222.887 * [misc]backup-simplify: Simplify (* +nan.0 PI) into (* +nan.0 PI) 1540341222.888 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540341222.889 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1540341222.890 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1540341222.891 * [misc]backup-simplify: Simplify (* +nan.0 (pow PI 2)) into (* +nan.0 (pow PI 2)) 1540341222.892 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341222.894 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1540341222.896 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 PI) (* +nan.0 (pow PI 2)))))) (* 2 0)) into (* +nan.0 (pow PI 3)) 1540341222.897 * [misc]backup-simplify: Simplify (* +nan.0 (pow PI 3)) into (* +nan.0 (pow PI 3)) 1540341222.898 * [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))))))) 1540341222.899 * * * [misc]progress: simplifying candidates 1540341222.899 * * * * [misc]progress: [ 1 / 158 ] simplifiying candidate # 1540341222.899 * * * * [misc]progress: [ 2 / 158 ] simplifiying candidate # 1540341222.899 * * * * [misc]progress: [ 3 / 158 ] simplifiying candidate # 1540341222.899 * * * * [misc]progress: [ 4 / 158 ] simplifiying candidate # 1540341222.899 * * * * [misc]progress: [ 5 / 158 ] simplifiying candidate # 1540341222.899 * * * * [misc]progress: [ 6 / 158 ] simplifiying candidate # 1540341222.899 * * * * [misc]progress: [ 7 / 158 ] simplifiying candidate # 1540341222.899 * * * * [misc]progress: [ 8 / 158 ] simplifiying candidate # 1540341222.899 * * * * [misc]progress: [ 9 / 158 ] simplifiying candidate # 1540341222.899 * * * * [misc]progress: [ 10 / 158 ] simplifiying candidate # 1540341222.899 * * * * [misc]progress: [ 11 / 158 ] simplifiying candidate # 1540341222.899 * * * * [misc]progress: [ 12 / 158 ] simplifiying candidate # 1540341222.899 * * * * [misc]progress: [ 13 / 158 ] simplifiying candidate # 1540341222.899 * * * * [misc]progress: [ 14 / 158 ] simplifiying candidate # 1540341222.899 * * * * [misc]progress: [ 15 / 158 ] simplifiying candidate # 1540341222.900 * * * * [misc]progress: [ 16 / 158 ] simplifiying candidate # 1540341222.900 * * * * [misc]progress: [ 17 / 158 ] simplifiying candidate # 1540341222.900 * * * * [misc]progress: [ 18 / 158 ] simplifiying candidate # 1540341222.900 * * * * [misc]progress: [ 19 / 158 ] simplifiying candidate # 1540341222.900 * * * * [misc]progress: [ 20 / 158 ] simplifiying candidate # 1540341222.900 * * * * [misc]progress: [ 21 / 158 ] simplifiying candidate # 1540341222.900 * * * * [misc]progress: [ 22 / 158 ] simplifiying candidate # 1540341222.900 * * * * [misc]progress: [ 23 / 158 ] simplifiying candidate # 1540341222.900 * * * * [misc]progress: [ 24 / 158 ] simplifiying candidate # 1540341222.900 * * * * [misc]progress: [ 25 / 158 ] simplifiying candidate # 1540341222.900 * * * * [misc]progress: [ 26 / 158 ] simplifiying candidate # 1540341222.900 * [enter]simplify: Simplifying (- (log (sqrt (* (* 2 n) PI))) (- (log (sqrt k)) (* (log (* PI (* n 2))) (- (/ k 2))))) 1540341222.901 * * [misc]simplify: iters left: 6 (18 enodes) 1540341222.907 * * [misc]simplify: iters left: 5 (37 enodes) 1540341222.919 * * [misc]simplify: iters left: 4 (74 enodes) 1540341222.945 * * [misc]simplify: iters left: 3 (207 enodes) 1540341222.997 * * [misc]simplify: iters left: 2 (498 enodes) 1540341223.296 * [exit]simplify: Simplified to (- (log (sqrt (* (* 2 n) PI))) (fma (log (* (* 2 n) PI)) (/ k 2) (log (sqrt k)))) 1540341223.296 * [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)))))) 1540341223.296 * * * * [misc]progress: [ 27 / 158 ] simplifiying candidate # 1540341223.296 * [enter]simplify: Simplifying (- (log (sqrt (* (* 2 n) PI))) (- (log (sqrt k)) (* (log (* PI (* n 2))) (- (/ k 2))))) 1540341223.296 * * [misc]simplify: iters left: 6 (18 enodes) 1540341223.299 * * [misc]simplify: iters left: 5 (37 enodes) 1540341223.305 * * [misc]simplify: iters left: 4 (74 enodes) 1540341223.323 * * [misc]simplify: iters left: 3 (207 enodes) 1540341223.405 * * [misc]simplify: iters left: 2 (498 enodes) 1540341224.050 * [exit]simplify: Simplified to (- (log (sqrt (* (* 2 n) PI))) (fma (log (* (* 2 n) PI)) (/ k 2) (log (sqrt k)))) 1540341224.050 * [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)))))) 1540341224.050 * * * * [misc]progress: [ 28 / 158 ] simplifiying candidate # 1540341224.050 * [enter]simplify: Simplifying (- (log (sqrt (* (* 2 n) PI))) (- (log (sqrt k)) (log (pow (* PI (* n 2)) (- (/ k 2)))))) 1540341224.050 * * [misc]simplify: iters left: 6 (18 enodes) 1540341224.053 * * [misc]simplify: iters left: 5 (33 enodes) 1540341224.058 * * [misc]simplify: iters left: 4 (64 enodes) 1540341224.069 * * [misc]simplify: iters left: 3 (168 enodes) 1540341224.146 * [exit]simplify: Simplified to (- (log (sqrt (* 2 (* PI n)))) (fma (/ k 2) (log (* 2 (* PI n))) (log (sqrt k)))) 1540341224.147 * [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)))))) 1540341224.147 * * * * [misc]progress: [ 29 / 158 ] simplifiying candidate # 1540341224.147 * [enter]simplify: Simplifying (- (log (sqrt (* (* 2 n) PI))) (log (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1540341224.147 * * [misc]simplify: iters left: 6 (17 enodes) 1540341224.153 * * [misc]simplify: iters left: 5 (29 enodes) 1540341224.160 * * [misc]simplify: iters left: 4 (40 enodes) 1540341224.172 * * [misc]simplify: iters left: 3 (70 enodes) 1540341224.195 * * [misc]simplify: iters left: 2 (201 enodes) 1540341224.321 * [exit]simplify: Simplified to (- (log (sqrt (* (* 2 n) PI))) (fma (/ k 2) (log (* (* 2 n) PI)) (log (sqrt k)))) 1540341224.321 * [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)))))) 1540341224.322 * * * * [misc]progress: [ 30 / 158 ] simplifiying candidate # 1540341224.322 * * * * [misc]progress: [ 31 / 158 ] simplifiying candidate # 1540341224.322 * * * * [misc]progress: [ 32 / 158 ] simplifiying candidate # 1540341224.322 * [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)))))) 1540341224.322 * * [misc]simplify: iters left: 6 (21 enodes) 1540341224.326 * * [misc]simplify: iters left: 5 (41 enodes) 1540341224.335 * * [misc]simplify: iters left: 4 (135 enodes) 1540341224.400 * [exit]simplify: Simplified to (* (* (/ (* 2 (* PI n)) (* (sqrt k) k)) (sqrt (* 2 (* PI n)))) (pow (pow (* 2 (* PI n)) (/ (- k) 2)) 3)) 1540341224.400 * [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)))) 1540341224.400 * * * * [misc]progress: [ 33 / 158 ] simplifiying candidate # 1540341224.401 * [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)))))) 1540341224.403 * * [misc]simplify: iters left: 6 (19 enodes) 1540341224.410 * * [misc]simplify: iters left: 5 (40 enodes) 1540341224.426 * * [misc]simplify: iters left: 4 (128 enodes) 1540341224.486 * [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)))) 1540341224.486 * [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)))))) 1540341224.486 * * * * [misc]progress: [ 34 / 158 ] simplifiying candidate # 1540341224.486 * * * * [misc]progress: [ 35 / 158 ] simplifiying candidate # 1540341224.486 * * * * [misc]progress: [ 36 / 158 ] simplifiying candidate # 1540341224.486 * * * * [misc]progress: [ 37 / 158 ] simplifiying candidate # 1540341224.486 * * * * [misc]progress: [ 38 / 158 ] simplifiying candidate # 1540341224.486 * [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))))))) 1540341224.487 * * [misc]simplify: iters left: 6 (19 enodes) 1540341224.493 * * [misc]simplify: iters left: 5 (32 enodes) 1540341224.502 * * [misc]simplify: iters left: 4 (45 enodes) 1540341224.516 * * [misc]simplify: iters left: 3 (49 enodes) 1540341224.527 * * [misc]simplify: iters left: 2 (52 enodes) 1540341224.541 * [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))))))) 1540341224.541 * [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)))))))) 1540341224.541 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1540341224.541 * * [misc]simplify: iters left: 6 (17 enodes) 1540341224.546 * * [misc]simplify: iters left: 5 (24 enodes) 1540341224.552 * * [misc]simplify: iters left: 4 (28 enodes) 1540341224.560 * * [misc]simplify: iters left: 3 (29 enodes) 1540341224.567 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* PI 2) n))) (cbrt (/ (sqrt k) (pow (* (* PI 2) n) (- (/ k 2)))))) 1540341224.567 * [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)))))))) 1540341224.567 * * * * [misc]progress: [ 39 / 158 ] simplifiying candidate # 1540341224.567 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1540341224.567 * * [misc]simplify: iters left: 6 (18 enodes) 1540341224.573 * * [misc]simplify: iters left: 5 (27 enodes) 1540341224.580 * * [misc]simplify: iters left: 4 (33 enodes) 1540341224.589 * * [misc]simplify: iters left: 3 (35 enodes) 1540341224.598 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (* n (* PI 2)))) (cbrt (sqrt (* n (* PI 2))))) (sqrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- k) 2))))) 1540341224.598 * [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)))))))) 1540341224.598 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1540341224.598 * * [misc]simplify: iters left: 6 (17 enodes) 1540341224.603 * * [misc]simplify: iters left: 5 (24 enodes) 1540341224.610 * * [misc]simplify: iters left: 4 (28 enodes) 1540341224.617 * * [misc]simplify: iters left: 3 (29 enodes) 1540341224.624 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* PI 2) n))) (sqrt (/ (sqrt k) (pow (* (* PI 2) n) (- (/ k 2)))))) 1540341224.624 * [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)))))))) 1540341224.624 * * * * [misc]progress: [ 40 / 158 ] simplifiying candidate # 1540341224.624 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- (/ k 2))))) 1540341224.625 * * [misc]simplify: iters left: 6 (17 enodes) 1540341224.630 * * [misc]simplify: iters left: 5 (29 enodes) 1540341224.639 * * [misc]simplify: iters left: 4 (50 enodes) 1540341224.656 * * [misc]simplify: iters left: 3 (92 enodes) 1540341224.675 * * [misc]simplify: iters left: 2 (141 enodes) 1540341224.700 * * [misc]simplify: iters left: 1 (170 enodes) 1540341224.734 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- k) 2)))) 1540341224.734 * [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))))))) 1540341224.734 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540341224.734 * * [misc]simplify: iters left: 6 (16 enodes) 1540341224.736 * * [misc]simplify: iters left: 5 (23 enodes) 1540341224.739 * * [misc]simplify: iters left: 4 (32 enodes) 1540341224.743 * * [misc]simplify: iters left: 3 (35 enodes) 1540341224.747 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* n (* PI 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- (/ k 2))))) 1540341224.748 * [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))))))) 1540341224.748 * * * * [misc]progress: [ 41 / 158 ] simplifiying candidate # 1540341224.748 * [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))))))) 1540341224.748 * * [misc]simplify: iters left: 6 (21 enodes) 1540341224.752 * * [misc]simplify: iters left: 5 (38 enodes) 1540341224.757 * * [misc]simplify: iters left: 4 (73 enodes) 1540341224.769 * * [misc]simplify: iters left: 3 (144 enodes) 1540341224.801 * * [misc]simplify: iters left: 2 (276 enodes) 1540341224.915 * * [misc]simplify: iters left: 1 (386 enodes) 1540341225.134 * [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))))) 1540341225.135 * [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)))))))) 1540341225.135 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1540341225.135 * * [misc]simplify: iters left: 6 (18 enodes) 1540341225.141 * * [misc]simplify: iters left: 5 (27 enodes) 1540341225.148 * * [misc]simplify: iters left: 4 (34 enodes) 1540341225.152 * * [misc]simplify: iters left: 3 (37 enodes) 1540341225.156 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* n (* PI 2)) (/ (- k) 2))) (cbrt (sqrt (* n (* PI 2))))) (cbrt (sqrt k))) 1540341225.156 * [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))))) 1540341225.156 * * * * [misc]progress: [ 42 / 158 ] simplifiying candidate # 1540341225.156 * [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)))))) 1540341225.157 * * [misc]simplify: iters left: 6 (20 enodes) 1540341225.160 * * [misc]simplify: iters left: 5 (33 enodes) 1540341225.164 * * [misc]simplify: iters left: 4 (52 enodes) 1540341225.173 * * [misc]simplify: iters left: 3 (95 enodes) 1540341225.196 * * [misc]simplify: iters left: 2 (152 enodes) 1540341225.249 * * [misc]simplify: iters left: 1 (185 enodes) 1540341225.320 * [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))))) 1540341225.320 * [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)))))))) 1540341225.321 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1540341225.321 * * [misc]simplify: iters left: 6 (18 enodes) 1540341225.327 * * [misc]simplify: iters left: 5 (27 enodes) 1540341225.334 * * [misc]simplify: iters left: 4 (34 enodes) 1540341225.343 * * [misc]simplify: iters left: 3 (37 enodes) 1540341225.348 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* n (* PI 2)) (/ (- k) 2))) (cbrt (sqrt (* n (* PI 2))))) (cbrt (sqrt k))) 1540341225.348 * [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))))) 1540341225.348 * * * * [misc]progress: [ 43 / 158 ] simplifiying candidate # 1540341225.348 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1540341225.348 * * [misc]simplify: iters left: 6 (15 enodes) 1540341225.350 * * [misc]simplify: iters left: 5 (27 enodes) 1540341225.355 * * [misc]simplify: iters left: 4 (51 enodes) 1540341225.362 * * [misc]simplify: iters left: 3 (78 enodes) 1540341225.377 * * [misc]simplify: iters left: 2 (149 enodes) 1540341225.431 * * [misc]simplify: iters left: 1 (239 enodes) 1540341225.499 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (* (* PI 2) n))) (cbrt (sqrt k))) (/ (cbrt (sqrt (* (* PI 2) n))) (cbrt (sqrt k)))) 1540341225.499 * [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))))))) 1540341225.499 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341225.500 * * [misc]simplify: iters left: 6 (17 enodes) 1540341225.505 * * [misc]simplify: iters left: 5 (26 enodes) 1540341225.512 * * [misc]simplify: iters left: 4 (33 enodes) 1540341225.518 * * [misc]simplify: iters left: 3 (36 enodes) 1540341225.522 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* PI 2) n))) (/ (cbrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))) 1540341225.522 * [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)))))) 1540341225.522 * * * * [misc]progress: [ 44 / 158 ] simplifiying candidate # 1540341225.522 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1540341225.522 * * [misc]simplify: iters left: 6 (16 enodes) 1540341225.525 * * [misc]simplify: iters left: 5 (26 enodes) 1540341225.528 * * [misc]simplify: iters left: 4 (39 enodes) 1540341225.533 * * [misc]simplify: iters left: 3 (52 enodes) 1540341225.540 * * [misc]simplify: iters left: 2 (64 enodes) 1540341225.552 * * [misc]simplify: iters left: 1 (70 enodes) 1540341225.569 * [exit]simplify: Simplified to (* (* (/ (pow PI (- (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (* (* 2 n) PI)))) (cbrt (sqrt (* (* 2 n) PI)))) 1540341225.569 * [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))))))) 1540341225.569 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540341225.569 * * [misc]simplify: iters left: 6 (16 enodes) 1540341225.574 * * [misc]simplify: iters left: 5 (23 enodes) 1540341225.578 * * [misc]simplify: iters left: 4 (32 enodes) 1540341225.582 * * [misc]simplify: iters left: 3 (35 enodes) 1540341225.586 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* n (* PI 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- (/ k 2))))) 1540341225.587 * [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))))))) 1540341225.587 * * * * [misc]progress: [ 45 / 158 ] simplifiying candidate # 1540341225.587 * [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))))))) 1540341225.587 * * [misc]simplify: iters left: 6 (20 enodes) 1540341225.590 * * [misc]simplify: iters left: 5 (33 enodes) 1540341225.594 * * [misc]simplify: iters left: 4 (48 enodes) 1540341225.601 * * [misc]simplify: iters left: 3 (76 enodes) 1540341225.616 * * [misc]simplify: iters left: 2 (115 enodes) 1540341225.635 * * [misc]simplify: iters left: 1 (148 enodes) 1540341225.662 * [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))) 1540341225.662 * [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)))))))) 1540341225.663 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1540341225.663 * * [misc]simplify: iters left: 6 (18 enodes) 1540341225.668 * * [misc]simplify: iters left: 5 (27 enodes) 1540341225.673 * * [misc]simplify: iters left: 4 (34 enodes) 1540341225.677 * * [misc]simplify: iters left: 3 (37 enodes) 1540341225.681 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* n (* PI 2)) (/ (- k) 2))) (cbrt (sqrt (* n (* PI 2))))) (sqrt (sqrt k))) 1540341225.682 * [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))))) 1540341225.682 * * * * [misc]progress: [ 46 / 158 ] simplifiying candidate # 1540341225.682 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1540341225.682 * * [misc]simplify: iters left: 6 (19 enodes) 1540341225.685 * * [misc]simplify: iters left: 5 (30 enodes) 1540341225.689 * * [misc]simplify: iters left: 4 (41 enodes) 1540341225.694 * * [misc]simplify: iters left: 3 (54 enodes) 1540341225.701 * * [misc]simplify: iters left: 2 (66 enodes) 1540341225.714 * * [misc]simplify: iters left: 1 (72 enodes) 1540341225.731 * [exit]simplify: Simplified to (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) 1540341225.732 * [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)))))))) 1540341225.732 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1540341225.732 * * [misc]simplify: iters left: 6 (18 enodes) 1540341225.737 * * [misc]simplify: iters left: 5 (27 enodes) 1540341225.744 * * [misc]simplify: iters left: 4 (34 enodes) 1540341225.753 * * [misc]simplify: iters left: 3 (37 enodes) 1540341225.763 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* n (* PI 2)) (/ (- k) 2))) (cbrt (sqrt (* n (* PI 2))))) (sqrt (sqrt k))) 1540341225.763 * [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))))) 1540341225.764 * * * * [misc]progress: [ 47 / 158 ] simplifiying candidate # 1540341225.764 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (sqrt (sqrt k)) 1)) 1540341225.764 * * [misc]simplify: iters left: 6 (14 enodes) 1540341225.768 * * [misc]simplify: iters left: 5 (24 enodes) 1540341225.776 * * [misc]simplify: iters left: 4 (38 enodes) 1540341225.786 * * [misc]simplify: iters left: 3 (50 enodes) 1540341225.796 * * [misc]simplify: iters left: 2 (51 enodes) 1540341225.804 * * [misc]simplify: iters left: 1 (57 enodes) 1540341225.816 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (* (* PI 2) n))) (cbrt (sqrt (* (* PI 2) n)))) (sqrt (sqrt k))) 1540341225.816 * [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))))))) 1540341225.816 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341225.816 * * [misc]simplify: iters left: 6 (17 enodes) 1540341225.819 * * [misc]simplify: iters left: 5 (26 enodes) 1540341225.822 * * [misc]simplify: iters left: 4 (33 enodes) 1540341225.826 * * [misc]simplify: iters left: 3 (36 enodes) 1540341225.830 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* PI 2) n))) (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))) 1540341225.831 * [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)))))) 1540341225.831 * * * * [misc]progress: [ 48 / 158 ] simplifiying candidate # 1540341225.831 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ 1 (pow PI (- (/ k 2))))) 1540341225.831 * * [misc]simplify: iters left: 6 (15 enodes) 1540341225.833 * * [misc]simplify: iters left: 5 (27 enodes) 1540341225.838 * * [misc]simplify: iters left: 4 (40 enodes) 1540341225.849 * * [misc]simplify: iters left: 3 (56 enodes) 1540341225.862 * * [misc]simplify: iters left: 2 (79 enodes) 1540341225.876 * * [misc]simplify: iters left: 1 (158 enodes) 1540341225.914 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (* (cbrt (sqrt (* (* PI 2) n))) (cbrt (sqrt (* (* PI 2) n))))) 1540341225.914 * [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))))))) 1540341225.914 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1540341225.914 * * [misc]simplify: iters left: 6 (15 enodes) 1540341225.917 * * [misc]simplify: iters left: 5 (22 enodes) 1540341225.923 * * [misc]simplify: iters left: 4 (31 enodes) 1540341225.932 * * [misc]simplify: iters left: 3 (34 enodes) 1540341225.940 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* PI 2) n))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1540341225.940 * [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)))))) 1540341225.940 * * * * [misc]progress: [ 49 / 158 ] simplifiying candidate # 1540341225.941 * [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))))))) 1540341225.941 * * [misc]simplify: iters left: 6 (19 enodes) 1540341225.947 * * [misc]simplify: iters left: 5 (34 enodes) 1540341225.958 * * [misc]simplify: iters left: 4 (49 enodes) 1540341225.972 * * [misc]simplify: iters left: 3 (78 enodes) 1540341226.000 * * [misc]simplify: iters left: 2 (186 enodes) 1540341226.139 * [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)))))) 1540341226.139 * [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)))))))) 1540341226.140 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1540341226.140 * * [misc]simplify: iters left: 6 (17 enodes) 1540341226.145 * * [misc]simplify: iters left: 5 (26 enodes) 1540341226.153 * * [misc]simplify: iters left: 4 (33 enodes) 1540341226.161 * * [misc]simplify: iters left: 3 (36 enodes) 1540341226.170 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- (/ k 2)))) (/ (cbrt (sqrt (* (* PI 2) n))) (sqrt k))) 1540341226.170 * [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))))) 1540341226.170 * * * * [misc]progress: [ 50 / 158 ] simplifiying candidate # 1540341226.171 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ 1 (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1540341226.171 * * [misc]simplify: iters left: 6 (18 enodes) 1540341226.179 * * [misc]simplify: iters left: 5 (31 enodes) 1540341226.187 * * [misc]simplify: iters left: 4 (42 enodes) 1540341226.199 * * [misc]simplify: iters left: 3 (58 enodes) 1540341226.215 * * [misc]simplify: iters left: 2 (81 enodes) 1540341226.227 * * [misc]simplify: iters left: 1 (143 enodes) 1540341226.255 * [exit]simplify: Simplified to (* (* (cbrt (sqrt (* (* PI 2) n))) (sqrt (pow (* (* PI 2) n) (/ (- k) 2)))) (cbrt (sqrt (* (* PI 2) n)))) 1540341226.255 * [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)))))))) 1540341226.255 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1540341226.255 * * [misc]simplify: iters left: 6 (17 enodes) 1540341226.258 * * [misc]simplify: iters left: 5 (26 enodes) 1540341226.262 * * [misc]simplify: iters left: 4 (33 enodes) 1540341226.267 * * [misc]simplify: iters left: 3 (36 enodes) 1540341226.271 * [exit]simplify: Simplified to (* (sqrt (pow (* (* PI 2) n) (- (/ k 2)))) (/ (cbrt (sqrt (* (* PI 2) n))) (sqrt k))) 1540341226.271 * [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))))) 1540341226.271 * * * * [misc]progress: [ 51 / 158 ] simplifiying candidate # 1540341226.272 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ 1 1)) 1540341226.272 * * [misc]simplify: iters left: 6 (11 enodes) 1540341226.273 * * [misc]simplify: iters left: 5 (19 enodes) 1540341226.276 * * [misc]simplify: iters left: 4 (25 enodes) 1540341226.283 * * [misc]simplify: iters left: 3 (34 enodes) 1540341226.291 * * [misc]simplify: iters left: 2 (46 enodes) 1540341226.302 * * [misc]simplify: iters left: 1 (74 enodes) 1540341226.321 * [exit]simplify: Simplified to (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) 1540341226.321 * [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))))))) 1540341226.322 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341226.322 * * [misc]simplify: iters left: 6 (16 enodes) 1540341226.327 * * [misc]simplify: iters left: 5 (25 enodes) 1540341226.333 * * [misc]simplify: iters left: 4 (32 enodes) 1540341226.341 * * [misc]simplify: iters left: 3 (35 enodes) 1540341226.349 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* n (* PI 2)))) (/ (sqrt k) (pow (* n (* PI 2)) (- (/ k 2))))) 1540341226.349 * [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))))))) 1540341226.349 * * * * [misc]progress: [ 52 / 158 ] simplifiying candidate # 1540341226.350 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) 1) 1540341226.350 * * [misc]simplify: iters left: 6 (10 enodes) 1540341226.353 * * [misc]simplify: iters left: 5 (18 enodes) 1540341226.359 * * [misc]simplify: iters left: 4 (30 enodes) 1540341226.366 * * [misc]simplify: iters left: 3 (33 enodes) 1540341226.372 * * [misc]simplify: iters left: 2 (38 enodes) 1540341226.376 * [exit]simplify: Simplified to (* (cbrt (sqrt (* (* PI n) 2))) (cbrt (sqrt (* (* PI n) 2)))) 1540341226.377 * [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))))))) 1540341226.377 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341226.377 * * [misc]simplify: iters left: 6 (16 enodes) 1540341226.379 * * [misc]simplify: iters left: 5 (25 enodes) 1540341226.383 * * [misc]simplify: iters left: 4 (32 enodes) 1540341226.388 * * [misc]simplify: iters left: 3 (35 enodes) 1540341226.392 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* n (* PI 2)))) (/ (sqrt k) (pow (* n (* PI 2)) (- (/ k 2))))) 1540341226.392 * [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))))))) 1540341226.392 * * * * [misc]progress: [ 53 / 158 ] simplifiying candidate # 1540341226.392 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (sqrt k)) 1540341226.392 * * [misc]simplify: iters left: 6 (11 enodes) 1540341226.394 * * [misc]simplify: iters left: 5 (17 enodes) 1540341226.396 * * [misc]simplify: iters left: 4 (25 enodes) 1540341226.399 * * [misc]simplify: iters left: 3 (27 enodes) 1540341226.403 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* PI n) 2))) (/ (sqrt k) (cbrt (sqrt (* (* PI n) 2))))) 1540341226.403 * [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))))))) 1540341226.403 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (/ 1 (pow (* PI (* n 2)) (- (/ k 2))))) 1540341226.403 * * [misc]simplify: iters left: 6 (16 enodes) 1540341226.405 * * [misc]simplify: iters left: 5 (27 enodes) 1540341226.410 * * [misc]simplify: iters left: 4 (34 enodes) 1540341226.420 * * [misc]simplify: iters left: 3 (45 enodes) 1540341226.427 * * [misc]simplify: iters left: 2 (47 enodes) 1540341226.431 * * [misc]simplify: iters left: 1 (52 enodes) 1540341226.436 * [exit]simplify: Simplified to (* (pow (* n (* PI 2)) (- (/ k 2))) (cbrt (sqrt (* n (* PI 2))))) 1540341226.436 * [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))))))) 1540341226.436 * * * * [misc]progress: [ 54 / 158 ] simplifiying candidate # 1540341226.437 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (sqrt k) 1)) 1540341226.437 * * [misc]simplify: iters left: 6 (13 enodes) 1540341226.439 * * [misc]simplify: iters left: 5 (23 enodes) 1540341226.442 * * [misc]simplify: iters left: 4 (37 enodes) 1540341226.447 * * [misc]simplify: iters left: 3 (49 enodes) 1540341226.453 * * [misc]simplify: iters left: 2 (50 enodes) 1540341226.461 * * [misc]simplify: iters left: 1 (56 enodes) 1540341226.473 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (* (* PI n) 2))) (cbrt (sqrt (* (* PI n) 2)))) (sqrt k)) 1540341226.473 * [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))))) 1540341226.473 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (pow (* PI (* n 2)) (/ k 2))) 1540341226.473 * * [misc]simplify: iters left: 6 (13 enodes) 1540341226.479 * * [misc]simplify: iters left: 5 (18 enodes) 1540341226.483 * * [misc]simplify: iters left: 4 (22 enodes) 1540341226.486 * * [misc]simplify: iters left: 3 (24 enodes) 1540341226.489 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* 2 n) PI))) (pow (* (* 2 n) PI) (/ k 2))) 1540341226.489 * [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))))) 1540341226.489 * * * * [misc]progress: [ 55 / 158 ] simplifiying candidate # 1540341226.489 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (sqrt k) (pow (* PI (* n 2)) 0))) 1540341226.489 * * [misc]simplify: iters left: 6 (16 enodes) 1540341226.492 * * [misc]simplify: iters left: 5 (26 enodes) 1540341226.495 * * [misc]simplify: iters left: 4 (33 enodes) 1540341226.500 * * [misc]simplify: iters left: 3 (45 enodes) 1540341226.505 * * [misc]simplify: iters left: 2 (63 enodes) 1540341226.514 * * [misc]simplify: iters left: 1 (68 enodes) 1540341226.526 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* n (* PI 2)))) (/ (sqrt k) (cbrt (sqrt (* n (* PI 2)))))) 1540341226.526 * [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))))) 1540341226.526 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (pow (* PI (* n 2)) (/ k 2))) 1540341226.527 * * [misc]simplify: iters left: 6 (13 enodes) 1540341226.531 * * [misc]simplify: iters left: 5 (18 enodes) 1540341226.535 * * [misc]simplify: iters left: 4 (22 enodes) 1540341226.538 * * [misc]simplify: iters left: 3 (24 enodes) 1540341226.541 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* 2 n) PI))) (pow (* (* 2 n) PI) (/ k 2))) 1540341226.541 * [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))))) 1540341226.541 * * * * [misc]progress: [ 56 / 158 ] simplifiying candidate # 1540341226.541 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1540341226.541 * * [misc]simplify: iters left: 6 (16 enodes) 1540341226.544 * * [misc]simplify: iters left: 5 (23 enodes) 1540341226.547 * * [misc]simplify: iters left: 4 (29 enodes) 1540341226.553 * * [misc]simplify: iters left: 3 (30 enodes) 1540341226.561 * [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))))))) 1540341226.561 * [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)))))))) 1540341226.561 * [enter]simplify: Simplifying (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1540341226.562 * * [misc]simplify: iters left: 6 (14 enodes) 1540341226.566 * * [misc]simplify: iters left: 5 (20 enodes) 1540341226.571 * * [misc]simplify: iters left: 4 (26 enodes) 1540341226.580 * * [misc]simplify: iters left: 3 (28 enodes) 1540341226.587 * [exit]simplify: Simplified to (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2)))))) 1540341226.587 * [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)))))))) 1540341226.587 * * * * [misc]progress: [ 57 / 158 ] simplifiying candidate # 1540341226.588 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1540341226.588 * * [misc]simplify: iters left: 6 (15 enodes) 1540341226.593 * * [misc]simplify: iters left: 5 (20 enodes) 1540341226.598 * * [misc]simplify: iters left: 4 (26 enodes) 1540341226.605 * * [misc]simplify: iters left: 3 (27 enodes) 1540341226.612 * [exit]simplify: Simplified to (/ (sqrt (* 2 n)) (sqrt (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))))) 1540341226.612 * [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)))))))) 1540341226.613 * [enter]simplify: Simplifying (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1540341226.613 * * [misc]simplify: iters left: 6 (14 enodes) 1540341226.617 * * [misc]simplify: iters left: 5 (20 enodes) 1540341226.622 * * [misc]simplify: iters left: 4 (26 enodes) 1540341226.630 * * [misc]simplify: iters left: 3 (28 enodes) 1540341226.637 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2)))))) 1540341226.637 * [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)))))))) 1540341226.637 * * * * [misc]progress: [ 58 / 158 ] simplifiying candidate # 1540341226.637 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- (/ k 2))))) 1540341226.637 * * [misc]simplify: iters left: 6 (14 enodes) 1540341226.642 * * [misc]simplify: iters left: 5 (21 enodes) 1540341226.648 * * [misc]simplify: iters left: 4 (28 enodes) 1540341226.656 * * [misc]simplify: iters left: 3 (40 enodes) 1540341226.667 * * [misc]simplify: iters left: 2 (45 enodes) 1540341226.677 * * [misc]simplify: iters left: 1 (52 enodes) 1540341226.691 * [exit]simplify: Simplified to (/ (* (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (pow PI (- (/ k 2)))) (cbrt (sqrt k))) 1540341226.691 * [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))))))) 1540341226.691 * [enter]simplify: Simplifying (/ (sqrt PI) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540341226.691 * * [misc]simplify: iters left: 6 (13 enodes) 1540341226.695 * * [misc]simplify: iters left: 5 (18 enodes) 1540341226.700 * * [misc]simplify: iters left: 4 (21 enodes) 1540341226.706 * * [misc]simplify: iters left: 3 (23 enodes) 1540341226.712 * [exit]simplify: Simplified to (* (pow (* n 2) (/ (- k) 2)) (/ (sqrt PI) (cbrt (sqrt k)))) 1540341226.712 * [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)))))) 1540341226.712 * * * * [misc]progress: [ 59 / 158 ] simplifiying candidate # 1540341226.712 * [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))))))) 1540341226.713 * * [misc]simplify: iters left: 6 (18 enodes) 1540341226.718 * * [misc]simplify: iters left: 5 (31 enodes) 1540341226.724 * * [misc]simplify: iters left: 4 (55 enodes) 1540341226.740 * * [misc]simplify: iters left: 3 (80 enodes) 1540341226.763 * * [misc]simplify: iters left: 2 (110 enodes) 1540341226.784 * * [misc]simplify: iters left: 1 (133 enodes) 1540341226.825 * [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)))))) 1540341226.825 * [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)))))))) 1540341226.825 * [enter]simplify: Simplifying (/ (sqrt PI) (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1540341226.825 * * [misc]simplify: iters left: 6 (15 enodes) 1540341226.827 * * [misc]simplify: iters left: 5 (23 enodes) 1540341226.830 * * [misc]simplify: iters left: 4 (32 enodes) 1540341226.835 * * [misc]simplify: iters left: 3 (35 enodes) 1540341226.840 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- k) 2))) (/ (sqrt PI) (cbrt (sqrt k)))) 1540341226.840 * [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)))))) 1540341226.840 * * * * [misc]progress: [ 60 / 158 ] simplifiying candidate # 1540341226.840 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1540341226.840 * * [misc]simplify: iters left: 6 (17 enodes) 1540341226.843 * * [misc]simplify: iters left: 5 (26 enodes) 1540341226.846 * * [misc]simplify: iters left: 4 (39 enodes) 1540341226.852 * * [misc]simplify: iters left: 3 (53 enodes) 1540341226.866 * * [misc]simplify: iters left: 2 (58 enodes) 1540341226.880 * * [misc]simplify: iters left: 1 (65 enodes) 1540341226.896 * [exit]simplify: Simplified to (* (sqrt (pow (* (* 2 PI) n) (- (/ k 2)))) (/ (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (sqrt k)))) 1540341226.896 * [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)))))))) 1540341226.896 * [enter]simplify: Simplifying (/ (sqrt PI) (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1540341226.896 * * [misc]simplify: iters left: 6 (15 enodes) 1540341226.901 * * [misc]simplify: iters left: 5 (23 enodes) 1540341226.907 * * [misc]simplify: iters left: 4 (32 enodes) 1540341226.916 * * [misc]simplify: iters left: 3 (35 enodes) 1540341226.925 * [exit]simplify: Simplified to (* (sqrt (pow (* (* PI 2) n) (/ (- k) 2))) (/ (sqrt PI) (cbrt (sqrt k)))) 1540341226.925 * [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)))))) 1540341226.925 * * * * [misc]progress: [ 61 / 158 ] simplifiying candidate # 1540341226.925 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1540341226.925 * * [misc]simplify: iters left: 6 (11 enodes) 1540341226.929 * * [misc]simplify: iters left: 5 (18 enodes) 1540341226.935 * * [misc]simplify: iters left: 4 (29 enodes) 1540341226.942 * * [misc]simplify: iters left: 3 (35 enodes) 1540341226.951 * * [misc]simplify: iters left: 2 (59 enodes) 1540341226.974 * * [misc]simplify: iters left: 1 (79 enodes) 1540341226.993 * [exit]simplify: Simplified to (/ (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (sqrt k))) 1540341226.993 * [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))))))) 1540341226.993 * [enter]simplify: Simplifying (/ (sqrt PI) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341226.993 * * [misc]simplify: iters left: 6 (14 enodes) 1540341226.997 * * [misc]simplify: iters left: 5 (22 enodes) 1540341227.003 * * [misc]simplify: iters left: 4 (31 enodes) 1540341227.007 * * [misc]simplify: iters left: 3 (34 enodes) 1540341227.011 * [exit]simplify: Simplified to (* (pow (* (* n 2) PI) (- (/ k 2))) (/ (sqrt PI) (cbrt (sqrt k)))) 1540341227.011 * [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)))))) 1540341227.011 * * * * [misc]progress: [ 62 / 158 ] simplifiying candidate # 1540341227.012 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1540341227.012 * * [misc]simplify: iters left: 6 (13 enodes) 1540341227.013 * * [misc]simplify: iters left: 5 (18 enodes) 1540341227.016 * * [misc]simplify: iters left: 4 (21 enodes) 1540341227.018 * * [misc]simplify: iters left: 3 (23 enodes) 1540341227.021 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (/ (sqrt (* 2 n)) (sqrt (sqrt k)))) 1540341227.021 * [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))))))) 1540341227.022 * [enter]simplify: Simplifying (/ (sqrt PI) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540341227.022 * * [misc]simplify: iters left: 6 (13 enodes) 1540341227.023 * * [misc]simplify: iters left: 5 (18 enodes) 1540341227.026 * * [misc]simplify: iters left: 4 (21 enodes) 1540341227.028 * * [misc]simplify: iters left: 3 (23 enodes) 1540341227.031 * [exit]simplify: Simplified to (* (pow (* n 2) (/ (- k) 2)) (/ (sqrt PI) (sqrt (sqrt k)))) 1540341227.031 * [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)))))) 1540341227.031 * * * * [misc]progress: [ 63 / 158 ] simplifiying candidate # 1540341227.032 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))) 1540341227.032 * * [misc]simplify: iters left: 6 (17 enodes) 1540341227.034 * * [misc]simplify: iters left: 5 (26 enodes) 1540341227.038 * * [misc]simplify: iters left: 4 (37 enodes) 1540341227.047 * * [misc]simplify: iters left: 3 (47 enodes) 1540341227.060 * * [misc]simplify: iters left: 2 (55 enodes) 1540341227.073 * * [misc]simplify: iters left: 1 (57 enodes) 1540341227.082 * [exit]simplify: Simplified to (* (* (cbrt (pow (* (* PI 2) n) (/ (- k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- k) 2)))) (/ (sqrt (* 2 n)) (sqrt (sqrt k)))) 1540341227.082 * [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)))))))) 1540341227.082 * [enter]simplify: Simplifying (/ (sqrt PI) (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1540341227.082 * * [misc]simplify: iters left: 6 (15 enodes) 1540341227.084 * * [misc]simplify: iters left: 5 (23 enodes) 1540341227.088 * * [misc]simplify: iters left: 4 (32 enodes) 1540341227.092 * * [misc]simplify: iters left: 3 (35 enodes) 1540341227.096 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- k) 2))) (/ (sqrt PI) (sqrt (sqrt k)))) 1540341227.096 * [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)))))) 1540341227.096 * * * * [misc]progress: [ 64 / 158 ] simplifiying candidate # 1540341227.096 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1540341227.096 * * [misc]simplify: iters left: 6 (16 enodes) 1540341227.099 * * [misc]simplify: iters left: 5 (23 enodes) 1540341227.102 * * [misc]simplify: iters left: 4 (32 enodes) 1540341227.106 * * [misc]simplify: iters left: 3 (35 enodes) 1540341227.110 * [exit]simplify: Simplified to (* (sqrt (pow (* n (* PI 2)) (- (/ k 2)))) (/ (sqrt (* 2 n)) (sqrt (sqrt k)))) 1540341227.110 * [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)))))))) 1540341227.110 * [enter]simplify: Simplifying (/ (sqrt PI) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1540341227.110 * * [misc]simplify: iters left: 6 (15 enodes) 1540341227.114 * * [misc]simplify: iters left: 5 (23 enodes) 1540341227.120 * * [misc]simplify: iters left: 4 (32 enodes) 1540341227.129 * * [misc]simplify: iters left: 3 (35 enodes) 1540341227.138 * [exit]simplify: Simplified to (* (sqrt (pow (* (* PI 2) n) (/ (- k) 2))) (/ (sqrt PI) (sqrt (sqrt k)))) 1540341227.138 * [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)))))) 1540341227.138 * * * * [misc]progress: [ 65 / 158 ] simplifiying candidate # 1540341227.138 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) (/ (sqrt (sqrt k)) 1)) 1540341227.139 * * [misc]simplify: iters left: 6 (10 enodes) 1540341227.141 * * [misc]simplify: iters left: 5 (15 enodes) 1540341227.146 * * [misc]simplify: iters left: 4 (22 enodes) 1540341227.151 * * [misc]simplify: iters left: 3 (26 enodes) 1540341227.157 * [exit]simplify: Simplified to (/ (sqrt (* 2 n)) (sqrt (sqrt k))) 1540341227.157 * [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))))))) 1540341227.157 * [enter]simplify: Simplifying (/ (sqrt PI) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341227.157 * * [misc]simplify: iters left: 6 (14 enodes) 1540341227.161 * * [misc]simplify: iters left: 5 (22 enodes) 1540341227.167 * * [misc]simplify: iters left: 4 (31 enodes) 1540341227.177 * * [misc]simplify: iters left: 3 (34 enodes) 1540341227.185 * [exit]simplify: Simplified to (* (pow (* (* n 2) PI) (- (/ k 2))) (/ (sqrt PI) (sqrt (sqrt k)))) 1540341227.185 * [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)))))) 1540341227.185 * * * * [misc]progress: [ 66 / 158 ] simplifiying candidate # 1540341227.185 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) (/ 1 (pow PI (- (/ k 2))))) 1540341227.186 * * [misc]simplify: iters left: 6 (12 enodes) 1540341227.189 * * [misc]simplify: iters left: 5 (19 enodes) 1540341227.193 * * [misc]simplify: iters left: 4 (22 enodes) 1540341227.196 * * [misc]simplify: iters left: 3 (32 enodes) 1540341227.200 * * [misc]simplify: iters left: 2 (34 enodes) 1540341227.203 * * [misc]simplify: iters left: 1 (39 enodes) 1540341227.208 * [exit]simplify: Simplified to (* (pow PI (- (/ k 2))) (sqrt (* 2 n))) 1540341227.208 * [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))))))) 1540341227.208 * [enter]simplify: Simplifying (/ (sqrt PI) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1540341227.208 * * [misc]simplify: iters left: 6 (12 enodes) 1540341227.210 * * [misc]simplify: iters left: 5 (17 enodes) 1540341227.212 * * [misc]simplify: iters left: 4 (20 enodes) 1540341227.214 * * [misc]simplify: iters left: 3 (22 enodes) 1540341227.217 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1540341227.217 * [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)))))) 1540341227.217 * * * * [misc]progress: [ 67 / 158 ] simplifiying candidate # 1540341227.217 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) (/ 1 (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))) 1540341227.218 * * [misc]simplify: iters left: 6 (16 enodes) 1540341227.220 * * [misc]simplify: iters left: 5 (27 enodes) 1540341227.224 * * [misc]simplify: iters left: 4 (38 enodes) 1540341227.229 * * [misc]simplify: iters left: 3 (53 enodes) 1540341227.241 * * [misc]simplify: iters left: 2 (62 enodes) 1540341227.254 * * [misc]simplify: iters left: 1 (72 enodes) 1540341227.275 * [exit]simplify: Simplified to (* (* (sqrt (* 2 n)) (cbrt (pow (* 2 (* PI n)) (- (/ k 2))))) (cbrt (pow (* 2 (* PI n)) (- (/ k 2))))) 1540341227.275 * [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)))))))) 1540341227.275 * [enter]simplify: Simplifying (/ (sqrt PI) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1540341227.276 * * [misc]simplify: iters left: 6 (14 enodes) 1540341227.280 * * [misc]simplify: iters left: 5 (22 enodes) 1540341227.286 * * [misc]simplify: iters left: 4 (31 enodes) 1540341227.293 * * [misc]simplify: iters left: 3 (34 enodes) 1540341227.302 * [exit]simplify: Simplified to (* (cbrt (pow (* n (* 2 PI)) (- (/ k 2)))) (/ (sqrt PI) (sqrt k))) 1540341227.302 * [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))))) 1540341227.302 * * * * [misc]progress: [ 68 / 158 ] simplifiying candidate # 1540341227.302 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) (/ 1 (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1540341227.303 * * [misc]simplify: iters left: 6 (15 enodes) 1540341227.307 * * [misc]simplify: iters left: 5 (24 enodes) 1540341227.313 * * [misc]simplify: iters left: 4 (33 enodes) 1540341227.323 * * [misc]simplify: iters left: 3 (45 enodes) 1540341227.328 * * [misc]simplify: iters left: 2 (47 enodes) 1540341227.332 * * [misc]simplify: iters left: 1 (52 enodes) 1540341227.337 * [exit]simplify: Simplified to (* (sqrt (pow (* (* PI 2) n) (- (/ k 2)))) (sqrt (* 2 n))) 1540341227.338 * [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)))))))) 1540341227.338 * [enter]simplify: Simplifying (/ (sqrt PI) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1540341227.338 * * [misc]simplify: iters left: 6 (14 enodes) 1540341227.340 * * [misc]simplify: iters left: 5 (22 enodes) 1540341227.343 * * [misc]simplify: iters left: 4 (31 enodes) 1540341227.347 * * [misc]simplify: iters left: 3 (34 enodes) 1540341227.351 * [exit]simplify: Simplified to (* (sqrt (pow (* n (* 2 PI)) (- (/ k 2)))) (/ (sqrt PI) (sqrt k))) 1540341227.351 * [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))))) 1540341227.351 * * * * [misc]progress: [ 69 / 158 ] simplifiying candidate # 1540341227.351 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) (/ 1 1)) 1540341227.351 * * [misc]simplify: iters left: 5 (7 enodes) 1540341227.353 * * [misc]simplify: iters left: 4 (10 enodes) 1540341227.356 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1540341227.356 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* 2 n)) (/ (sqrt PI) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1540341227.356 * [enter]simplify: Simplifying (/ (sqrt PI) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341227.356 * * [misc]simplify: iters left: 6 (13 enodes) 1540341227.360 * * [misc]simplify: iters left: 5 (21 enodes) 1540341227.366 * * [misc]simplify: iters left: 4 (30 enodes) 1540341227.374 * * [misc]simplify: iters left: 3 (34 enodes) 1540341227.383 * [exit]simplify: Simplified to (* (pow (* (* n PI) 2) (- (/ k 2))) (/ (sqrt PI) (sqrt k))) 1540341227.383 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* 2 n)) (* (pow (* (* n PI) 2) (- (/ k 2))) (/ (sqrt PI) (sqrt k))))) 1540341227.383 * * * * [misc]progress: [ 70 / 158 ] simplifiying candidate # 1540341227.383 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) 1) 1540341227.383 * * [misc]simplify: iters left: 5 (6 enodes) 1540341227.385 * * [misc]simplify: iters left: 4 (9 enodes) 1540341227.389 * * [misc]simplify: iters left: 3 (11 enodes) 1540341227.391 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1540341227.391 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* 2 n)) (/ (sqrt PI) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1540341227.391 * [enter]simplify: Simplifying (/ (sqrt PI) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341227.392 * * [misc]simplify: iters left: 6 (13 enodes) 1540341227.395 * * [misc]simplify: iters left: 5 (21 enodes) 1540341227.402 * * [misc]simplify: iters left: 4 (30 enodes) 1540341227.410 * * [misc]simplify: iters left: 3 (34 enodes) 1540341227.418 * [exit]simplify: Simplified to (* (pow (* (* n PI) 2) (- (/ k 2))) (/ (sqrt PI) (sqrt k))) 1540341227.418 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* 2 n)) (* (pow (* (* n PI) 2) (- (/ k 2))) (/ (sqrt PI) (sqrt k))))) 1540341227.418 * * * * [misc]progress: [ 71 / 158 ] simplifiying candidate # 1540341227.419 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) (sqrt k)) 1540341227.419 * * [misc]simplify: iters left: 5 (7 enodes) 1540341227.421 * * [misc]simplify: iters left: 4 (8 enodes) 1540341227.423 * [exit]simplify: Simplified to (/ (sqrt (* 2 n)) (sqrt k)) 1540341227.423 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (/ 1 (pow (* PI (* n 2)) (- (/ k 2))))))) 1540341227.423 * [enter]simplify: Simplifying (/ (sqrt PI) (/ 1 (pow (* PI (* n 2)) (- (/ k 2))))) 1540341227.423 * * [misc]simplify: iters left: 6 (13 enodes) 1540341227.428 * * [misc]simplify: iters left: 5 (23 enodes) 1540341227.434 * * [misc]simplify: iters left: 4 (32 enodes) 1540341227.441 * * [misc]simplify: iters left: 3 (44 enodes) 1540341227.447 * * [misc]simplify: iters left: 2 (46 enodes) 1540341227.451 * * [misc]simplify: iters left: 1 (51 enodes) 1540341227.456 * [exit]simplify: Simplified to (* (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt PI)) 1540341227.456 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (* (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt PI)))) 1540341227.456 * * * * [misc]progress: [ 72 / 158 ] simplifiying candidate # 1540341227.456 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) (/ (sqrt k) 1)) 1540341227.456 * * [misc]simplify: iters left: 5 (9 enodes) 1540341227.458 * * [misc]simplify: iters left: 4 (14 enodes) 1540341227.460 * * [misc]simplify: iters left: 3 (21 enodes) 1540341227.462 * * [misc]simplify: iters left: 2 (25 enodes) 1540341227.465 * [exit]simplify: Simplified to (/ (sqrt (* 2 n)) (sqrt k)) 1540341227.465 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))))) 1540341227.465 * [enter]simplify: Simplifying (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))) 1540341227.465 * * [misc]simplify: iters left: 6 (10 enodes) 1540341227.466 * * [misc]simplify: iters left: 5 (14 enodes) 1540341227.468 * * [misc]simplify: iters left: 4 (20 enodes) 1540341227.471 * * [misc]simplify: iters left: 3 (21 enodes) 1540341227.473 * [exit]simplify: Simplified to (/ (sqrt PI) (pow (* (* n 2) PI) (/ k 2))) 1540341227.473 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (pow (* (* n 2) PI) (/ k 2))))) 1540341227.473 * * * * [misc]progress: [ 73 / 158 ] simplifiying candidate # 1540341227.474 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) (/ (sqrt k) (pow (* PI (* n 2)) 0))) 1540341227.474 * * [misc]simplify: iters left: 6 (13 enodes) 1540341227.476 * * [misc]simplify: iters left: 5 (19 enodes) 1540341227.478 * * [misc]simplify: iters left: 4 (26 enodes) 1540341227.482 * * [misc]simplify: iters left: 3 (33 enodes) 1540341227.485 * * [misc]simplify: iters left: 2 (36 enodes) 1540341227.489 * * [misc]simplify: iters left: 1 (40 enodes) 1540341227.492 * [exit]simplify: Simplified to (/ (sqrt (* 2 n)) (sqrt k)) 1540341227.492 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))))) 1540341227.492 * [enter]simplify: Simplifying (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))) 1540341227.493 * * [misc]simplify: iters left: 6 (10 enodes) 1540341227.494 * * [misc]simplify: iters left: 5 (14 enodes) 1540341227.497 * * [misc]simplify: iters left: 4 (20 enodes) 1540341227.502 * * [misc]simplify: iters left: 3 (21 enodes) 1540341227.508 * [exit]simplify: Simplified to (/ (sqrt PI) (pow (* (* n 2) PI) (/ k 2))) 1540341227.508 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (pow (* (* n 2) PI) (/ k 2))))) 1540341227.508 * * * * [misc]progress: [ 74 / 158 ] simplifiying candidate # 1540341227.508 * [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))))))) 1540341227.508 * * [misc]simplify: iters left: 6 (18 enodes) 1540341227.514 * * [misc]simplify: iters left: 5 (27 enodes) 1540341227.521 * * [misc]simplify: iters left: 4 (31 enodes) 1540341227.528 * * [misc]simplify: iters left: 3 (32 enodes) 1540341227.532 * [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)))))) 1540341227.532 * [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)))))))) 1540341227.533 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1540341227.533 * * [misc]simplify: iters left: 6 (17 enodes) 1540341227.535 * * [misc]simplify: iters left: 5 (24 enodes) 1540341227.538 * * [misc]simplify: iters left: 4 (28 enodes) 1540341227.542 * * [misc]simplify: iters left: 3 (29 enodes) 1540341227.545 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* PI 2) n))) (cbrt (/ (sqrt k) (pow (* (* PI 2) n) (- (/ k 2)))))) 1540341227.545 * [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)))))))) 1540341227.545 * * * * [misc]progress: [ 75 / 158 ] simplifiying candidate # 1540341227.546 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1540341227.546 * * [misc]simplify: iters left: 6 (17 enodes) 1540341227.548 * * [misc]simplify: iters left: 5 (24 enodes) 1540341227.551 * * [misc]simplify: iters left: 4 (28 enodes) 1540341227.555 * * [misc]simplify: iters left: 3 (29 enodes) 1540341227.558 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* PI 2) n))) (sqrt (/ (sqrt k) (pow (* (* PI 2) n) (- (/ k 2)))))) 1540341227.558 * [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)))))))) 1540341227.559 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1540341227.559 * * [misc]simplify: iters left: 6 (17 enodes) 1540341227.561 * * [misc]simplify: iters left: 5 (24 enodes) 1540341227.564 * * [misc]simplify: iters left: 4 (28 enodes) 1540341227.568 * * [misc]simplify: iters left: 3 (29 enodes) 1540341227.571 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* PI 2) n))) (sqrt (/ (sqrt k) (pow (* (* PI 2) n) (- (/ k 2)))))) 1540341227.571 * [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)))))))) 1540341227.571 * * * * [misc]progress: [ 76 / 158 ] simplifiying candidate # 1540341227.572 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- (/ k 2))))) 1540341227.572 * * [misc]simplify: iters left: 6 (16 enodes) 1540341227.575 * * [misc]simplify: iters left: 5 (26 enodes) 1540341227.578 * * [misc]simplify: iters left: 4 (39 enodes) 1540341227.584 * * [misc]simplify: iters left: 3 (52 enodes) 1540341227.590 * * [misc]simplify: iters left: 2 (57 enodes) 1540341227.596 * * [misc]simplify: iters left: 1 (64 enodes) 1540341227.604 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- (/ k 2))))) 1540341227.604 * [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))))))) 1540341227.604 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540341227.604 * * [misc]simplify: iters left: 6 (16 enodes) 1540341227.606 * * [misc]simplify: iters left: 5 (23 enodes) 1540341227.609 * * [misc]simplify: iters left: 4 (32 enodes) 1540341227.613 * * [misc]simplify: iters left: 3 (35 enodes) 1540341227.617 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* n (* PI 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- (/ k 2))))) 1540341227.617 * [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))))))) 1540341227.618 * * * * [misc]progress: [ 77 / 158 ] simplifiying candidate # 1540341227.618 * [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))))))) 1540341227.618 * * [misc]simplify: iters left: 6 (20 enodes) 1540341227.623 * * [misc]simplify: iters left: 5 (35 enodes) 1540341227.633 * * [misc]simplify: iters left: 4 (57 enodes) 1540341227.642 * * [misc]simplify: iters left: 3 (84 enodes) 1540341227.656 * * [misc]simplify: iters left: 2 (116 enodes) 1540341227.681 * * [misc]simplify: iters left: 1 (139 enodes) 1540341227.717 * [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)))))) 1540341227.717 * [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)))))))) 1540341227.717 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1540341227.717 * * [misc]simplify: iters left: 6 (18 enodes) 1540341227.720 * * [misc]simplify: iters left: 5 (27 enodes) 1540341227.723 * * [misc]simplify: iters left: 4 (34 enodes) 1540341227.727 * * [misc]simplify: iters left: 3 (37 enodes) 1540341227.732 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* n (* PI 2)) (/ (- k) 2))) (sqrt (sqrt (* n (* PI 2))))) (cbrt (sqrt k))) 1540341227.732 * [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))))) 1540341227.732 * * * * [misc]progress: [ 78 / 158 ] simplifiying candidate # 1540341227.732 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1540341227.732 * * [misc]simplify: iters left: 6 (19 enodes) 1540341227.735 * * [misc]simplify: iters left: 5 (30 enodes) 1540341227.740 * * [misc]simplify: iters left: 4 (41 enodes) 1540341227.745 * * [misc]simplify: iters left: 3 (54 enodes) 1540341227.752 * * [misc]simplify: iters left: 2 (59 enodes) 1540341227.758 * * [misc]simplify: iters left: 1 (66 enodes) 1540341227.767 * [exit]simplify: Simplified to (* (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (sqrt (sqrt (* (* 2 n) PI))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1540341227.767 * [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)))))))) 1540341227.767 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1540341227.767 * * [misc]simplify: iters left: 6 (18 enodes) 1540341227.770 * * [misc]simplify: iters left: 5 (27 enodes) 1540341227.775 * * [misc]simplify: iters left: 4 (34 enodes) 1540341227.784 * * [misc]simplify: iters left: 3 (37 enodes) 1540341227.793 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* n (* PI 2)) (/ (- k) 2))) (sqrt (sqrt (* n (* PI 2))))) (cbrt (sqrt k))) 1540341227.793 * [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))))) 1540341227.793 * * * * [misc]progress: [ 79 / 158 ] simplifiying candidate # 1540341227.793 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1540341227.794 * * [misc]simplify: iters left: 6 (14 enodes) 1540341227.798 * * [misc]simplify: iters left: 5 (24 enodes) 1540341227.805 * * [misc]simplify: iters left: 4 (41 enodes) 1540341227.816 * * [misc]simplify: iters left: 3 (48 enodes) 1540341227.827 * * [misc]simplify: iters left: 2 (69 enodes) 1540341227.849 * * [misc]simplify: iters left: 1 (90 enodes) 1540341227.870 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* PI 2) n))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540341227.870 * [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))))))) 1540341227.871 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341227.871 * * [misc]simplify: iters left: 6 (17 enodes) 1540341227.876 * * [misc]simplify: iters left: 5 (26 enodes) 1540341227.883 * * [misc]simplify: iters left: 4 (33 enodes) 1540341227.892 * * [misc]simplify: iters left: 3 (36 enodes) 1540341227.901 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* PI 2) n))) (/ (cbrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))) 1540341227.901 * [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)))))) 1540341227.901 * * * * [misc]progress: [ 80 / 158 ] simplifiying candidate # 1540341227.901 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1540341227.901 * * [misc]simplify: iters left: 6 (15 enodes) 1540341227.906 * * [misc]simplify: iters left: 5 (23 enodes) 1540341227.913 * * [misc]simplify: iters left: 4 (32 enodes) 1540341227.922 * * [misc]simplify: iters left: 3 (35 enodes) 1540341227.930 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* 2 (* PI n)))) (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2)))) 1540341227.930 * [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))))))) 1540341227.931 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540341227.931 * * [misc]simplify: iters left: 6 (16 enodes) 1540341227.936 * * [misc]simplify: iters left: 5 (23 enodes) 1540341227.942 * * [misc]simplify: iters left: 4 (32 enodes) 1540341227.951 * * [misc]simplify: iters left: 3 (35 enodes) 1540341227.960 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* n (* PI 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- (/ k 2))))) 1540341227.960 * [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))))))) 1540341227.960 * * * * [misc]progress: [ 81 / 158 ] simplifiying candidate # 1540341227.960 * [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))))))) 1540341227.960 * * [misc]simplify: iters left: 6 (19 enodes) 1540341227.966 * * [misc]simplify: iters left: 5 (30 enodes) 1540341227.975 * * [misc]simplify: iters left: 4 (39 enodes) 1540341227.980 * * [misc]simplify: iters left: 3 (49 enodes) 1540341227.987 * * [misc]simplify: iters left: 2 (57 enodes) 1540341227.994 * * [misc]simplify: iters left: 1 (59 enodes) 1540341228.001 * [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)))) 1540341228.001 * [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)))))))) 1540341228.001 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1540341228.001 * * [misc]simplify: iters left: 6 (18 enodes) 1540341228.004 * * [misc]simplify: iters left: 5 (27 enodes) 1540341228.007 * * [misc]simplify: iters left: 4 (34 enodes) 1540341228.012 * * [misc]simplify: iters left: 3 (37 enodes) 1540341228.016 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* n (* PI 2)) (/ (- k) 2))) (sqrt (sqrt (* n (* PI 2))))) (sqrt (sqrt k))) 1540341228.016 * [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))))) 1540341228.016 * * * * [misc]progress: [ 82 / 158 ] simplifiying candidate # 1540341228.016 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1540341228.016 * * [misc]simplify: iters left: 6 (18 enodes) 1540341228.019 * * [misc]simplify: iters left: 5 (27 enodes) 1540341228.023 * * [misc]simplify: iters left: 4 (34 enodes) 1540341228.027 * * [misc]simplify: iters left: 3 (37 enodes) 1540341228.031 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* n (* PI 2)) (/ (- k) 2))) (sqrt (sqrt (* n (* PI 2))))) (sqrt (sqrt k))) 1540341228.031 * [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)))))))) 1540341228.031 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1540341228.031 * * [misc]simplify: iters left: 6 (18 enodes) 1540341228.034 * * [misc]simplify: iters left: 5 (27 enodes) 1540341228.038 * * [misc]simplify: iters left: 4 (34 enodes) 1540341228.042 * * [misc]simplify: iters left: 3 (37 enodes) 1540341228.046 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* n (* PI 2)) (/ (- k) 2))) (sqrt (sqrt (* n (* PI 2))))) (sqrt (sqrt k))) 1540341228.046 * [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))))) 1540341228.046 * * * * [misc]progress: [ 83 / 158 ] simplifiying candidate # 1540341228.046 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) 1)) 1540341228.046 * * [misc]simplify: iters left: 6 (13 enodes) 1540341228.048 * * [misc]simplify: iters left: 5 (21 enodes) 1540341228.052 * * [misc]simplify: iters left: 4 (34 enodes) 1540341228.061 * * [misc]simplify: iters left: 3 (39 enodes) 1540341228.069 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* PI n) 2))) (sqrt (sqrt k))) 1540341228.070 * [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))))))) 1540341228.070 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341228.070 * * [misc]simplify: iters left: 6 (17 enodes) 1540341228.076 * * [misc]simplify: iters left: 5 (26 enodes) 1540341228.082 * * [misc]simplify: iters left: 4 (33 enodes) 1540341228.091 * * [misc]simplify: iters left: 3 (36 enodes) 1540341228.097 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* PI 2) n))) (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))) 1540341228.098 * [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)))))) 1540341228.098 * * * * [misc]progress: [ 84 / 158 ] simplifiying candidate # 1540341228.098 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ 1 (pow PI (- (/ k 2))))) 1540341228.098 * * [misc]simplify: iters left: 6 (14 enodes) 1540341228.100 * * [misc]simplify: iters left: 5 (24 enodes) 1540341228.103 * * [misc]simplify: iters left: 4 (33 enodes) 1540341228.108 * * [misc]simplify: iters left: 3 (44 enodes) 1540341228.113 * * [misc]simplify: iters left: 2 (46 enodes) 1540341228.118 * * [misc]simplify: iters left: 1 (51 enodes) 1540341228.123 * [exit]simplify: Simplified to (* (pow PI (- (/ k 2))) (sqrt (sqrt (* (* PI 2) n)))) 1540341228.123 * [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))))))) 1540341228.123 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1540341228.124 * * [misc]simplify: iters left: 6 (15 enodes) 1540341228.126 * * [misc]simplify: iters left: 5 (22 enodes) 1540341228.129 * * [misc]simplify: iters left: 4 (31 enodes) 1540341228.133 * * [misc]simplify: iters left: 3 (34 enodes) 1540341228.137 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* PI 2) n))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1540341228.137 * [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)))))) 1540341228.137 * * * * [misc]progress: [ 85 / 158 ] simplifiying candidate # 1540341228.137 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ 1 (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))) 1540341228.137 * * [misc]simplify: iters left: 6 (18 enodes) 1540341228.140 * * [misc]simplify: iters left: 5 (31 enodes) 1540341228.144 * * [misc]simplify: iters left: 4 (40 enodes) 1540341228.153 * * [misc]simplify: iters left: 3 (55 enodes) 1540341228.168 * * [misc]simplify: iters left: 2 (64 enodes) 1540341228.182 * * [misc]simplify: iters left: 1 (74 enodes) 1540341228.202 * [exit]simplify: Simplified to (* (sqrt (sqrt (* (* 2 n) PI))) (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))))) 1540341228.202 * [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)))))))) 1540341228.203 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1540341228.203 * * [misc]simplify: iters left: 6 (17 enodes) 1540341228.208 * * [misc]simplify: iters left: 5 (26 enodes) 1540341228.214 * * [misc]simplify: iters left: 4 (33 enodes) 1540341228.224 * * [misc]simplify: iters left: 3 (36 enodes) 1540341228.232 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- (/ k 2)))) (/ (sqrt (sqrt (* (* PI 2) n))) (sqrt k))) 1540341228.233 * [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))))) 1540341228.233 * * * * [misc]progress: [ 86 / 158 ] simplifiying candidate # 1540341228.233 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ 1 (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1540341228.233 * * [misc]simplify: iters left: 6 (17 enodes) 1540341228.238 * * [misc]simplify: iters left: 5 (28 enodes) 1540341228.246 * * [misc]simplify: iters left: 4 (35 enodes) 1540341228.253 * * [misc]simplify: iters left: 3 (46 enodes) 1540341228.259 * * [misc]simplify: iters left: 2 (48 enodes) 1540341228.263 * * [misc]simplify: iters left: 1 (53 enodes) 1540341228.272 * [exit]simplify: Simplified to (* (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI)))) 1540341228.272 * [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)))))))) 1540341228.272 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1540341228.272 * * [misc]simplify: iters left: 6 (17 enodes) 1540341228.279 * * [misc]simplify: iters left: 5 (26 enodes) 1540341228.286 * * [misc]simplify: iters left: 4 (33 enodes) 1540341228.295 * * [misc]simplify: iters left: 3 (36 enodes) 1540341228.304 * [exit]simplify: Simplified to (* (sqrt (pow (* (* PI 2) n) (- (/ k 2)))) (/ (sqrt (sqrt (* (* PI 2) n))) (sqrt k))) 1540341228.304 * [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))))) 1540341228.305 * * * * [misc]progress: [ 87 / 158 ] simplifiying candidate # 1540341228.305 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ 1 1)) 1540341228.305 * * [misc]simplify: iters left: 6 (10 enodes) 1540341228.308 * * [misc]simplify: iters left: 5 (16 enodes) 1540341228.312 * * [misc]simplify: iters left: 4 (22 enodes) 1540341228.318 * * [misc]simplify: iters left: 3 (26 enodes) 1540341228.324 * [exit]simplify: Simplified to (sqrt (sqrt (* (* PI n) 2))) 1540341228.324 * [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))))))) 1540341228.324 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341228.324 * * [misc]simplify: iters left: 6 (16 enodes) 1540341228.329 * * [misc]simplify: iters left: 5 (25 enodes) 1540341228.336 * * [misc]simplify: iters left: 4 (32 enodes) 1540341228.344 * * [misc]simplify: iters left: 3 (35 enodes) 1540341228.353 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* n (* PI 2)))) (/ (sqrt k) (pow (* n (* PI 2)) (- (/ k 2))))) 1540341228.353 * [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))))))) 1540341228.353 * * * * [misc]progress: [ 88 / 158 ] simplifiying candidate # 1540341228.353 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) 1) 1540341228.353 * * [misc]simplify: iters left: 6 (9 enodes) 1540341228.356 * * [misc]simplify: iters left: 5 (15 enodes) 1540341228.361 * * [misc]simplify: iters left: 4 (23 enodes) 1540341228.366 * * [misc]simplify: iters left: 3 (24 enodes) 1540341228.371 * [exit]simplify: Simplified to (sqrt (sqrt (* (* PI n) 2))) 1540341228.371 * [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))))))) 1540341228.371 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341228.371 * * [misc]simplify: iters left: 6 (16 enodes) 1540341228.376 * * [misc]simplify: iters left: 5 (25 enodes) 1540341228.383 * * [misc]simplify: iters left: 4 (32 enodes) 1540341228.391 * * [misc]simplify: iters left: 3 (35 enodes) 1540341228.399 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* n (* PI 2)))) (/ (sqrt k) (pow (* n (* PI 2)) (- (/ k 2))))) 1540341228.399 * [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))))))) 1540341228.400 * * * * [misc]progress: [ 89 / 158 ] simplifiying candidate # 1540341228.400 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt k)) 1540341228.400 * * [misc]simplify: iters left: 6 (10 enodes) 1540341228.401 * * [misc]simplify: iters left: 5 (14 enodes) 1540341228.403 * * [misc]simplify: iters left: 4 (20 enodes) 1540341228.406 * * [misc]simplify: iters left: 3 (22 enodes) 1540341228.408 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* PI 2) n))) (sqrt k)) 1540341228.408 * [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))))))) 1540341228.408 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ 1 (pow (* PI (* n 2)) (- (/ k 2))))) 1540341228.408 * * [misc]simplify: iters left: 6 (16 enodes) 1540341228.412 * * [misc]simplify: iters left: 5 (27 enodes) 1540341228.415 * * [misc]simplify: iters left: 4 (34 enodes) 1540341228.420 * * [misc]simplify: iters left: 3 (45 enodes) 1540341228.425 * * [misc]simplify: iters left: 2 (47 enodes) 1540341228.429 * * [misc]simplify: iters left: 1 (52 enodes) 1540341228.435 * [exit]simplify: Simplified to (* (pow (* n (* PI 2)) (- (/ k 2))) (sqrt (sqrt (* n (* PI 2))))) 1540341228.435 * [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))))))) 1540341228.435 * * * * [misc]progress: [ 90 / 158 ] simplifiying candidate # 1540341228.435 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) 1)) 1540341228.435 * * [misc]simplify: iters left: 6 (12 enodes) 1540341228.437 * * [misc]simplify: iters left: 5 (20 enodes) 1540341228.440 * * [misc]simplify: iters left: 4 (33 enodes) 1540341228.445 * * [misc]simplify: iters left: 3 (38 enodes) 1540341228.453 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* 2 (* PI n)))) (sqrt k)) 1540341228.453 * [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))))) 1540341228.453 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (pow (* PI (* n 2)) (/ k 2))) 1540341228.453 * * [misc]simplify: iters left: 6 (13 enodes) 1540341228.457 * * [misc]simplify: iters left: 5 (18 enodes) 1540341228.462 * * [misc]simplify: iters left: 4 (22 enodes) 1540341228.468 * * [misc]simplify: iters left: 3 (24 enodes) 1540341228.474 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (pow (* (* 2 n) PI) (/ k 2))) 1540341228.474 * [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))))) 1540341228.474 * * * * [misc]progress: [ 91 / 158 ] simplifiying candidate # 1540341228.474 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (pow (* PI (* n 2)) 0))) 1540341228.474 * * [misc]simplify: iters left: 6 (15 enodes) 1540341228.477 * * [misc]simplify: iters left: 5 (23 enodes) 1540341228.480 * * [misc]simplify: iters left: 4 (28 enodes) 1540341228.484 * * [misc]simplify: iters left: 3 (35 enodes) 1540341228.487 * * [misc]simplify: iters left: 2 (38 enodes) 1540341228.490 * * [misc]simplify: iters left: 1 (42 enodes) 1540341228.494 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* PI 2) n))) (sqrt k)) 1540341228.495 * [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))))) 1540341228.495 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (pow (* PI (* n 2)) (/ k 2))) 1540341228.495 * * [misc]simplify: iters left: 6 (13 enodes) 1540341228.497 * * [misc]simplify: iters left: 5 (18 enodes) 1540341228.499 * * [misc]simplify: iters left: 4 (22 enodes) 1540341228.503 * * [misc]simplify: iters left: 3 (24 enodes) 1540341228.508 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (pow (* (* 2 n) PI) (/ k 2))) 1540341228.508 * [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))))) 1540341228.508 * * * * [misc]progress: [ 92 / 158 ] simplifiying candidate # 1540341228.508 * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1540341228.509 * * [misc]simplify: iters left: 6 (15 enodes) 1540341228.513 * * [misc]simplify: iters left: 5 (25 enodes) 1540341228.520 * * [misc]simplify: iters left: 4 (31 enodes) 1540341228.528 * * [misc]simplify: iters left: 3 (33 enodes) 1540341228.532 * [exit]simplify: Simplified to (/ 1 (* (cbrt (/ (sqrt k) (pow (* 2 (* PI n)) (/ (- k) 2)))) (cbrt (/ (sqrt k) (pow (* 2 (* PI n)) (/ (- k) 2)))))) 1540341228.532 * [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)))))))) 1540341228.532 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1540341228.532 * * [misc]simplify: iters left: 6 (16 enodes) 1540341228.535 * * [misc]simplify: iters left: 5 (23 enodes) 1540341228.538 * * [misc]simplify: iters left: 4 (27 enodes) 1540341228.541 * * [misc]simplify: iters left: 3 (28 enodes) 1540341228.545 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (cbrt (/ (sqrt k) (pow (* (* 2 n) PI) (- (/ k 2)))))) 1540341228.545 * [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)))))))) 1540341228.545 * * * * [misc]progress: [ 93 / 158 ] simplifiying candidate # 1540341228.545 * [enter]simplify: Simplifying (/ 1 (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1540341228.545 * * [misc]simplify: iters left: 6 (14 enodes) 1540341228.547 * * [misc]simplify: iters left: 5 (22 enodes) 1540341228.550 * * [misc]simplify: iters left: 4 (28 enodes) 1540341228.554 * * [misc]simplify: iters left: 3 (29 enodes) 1540341228.559 * [exit]simplify: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- k) 2))))) 1540341228.559 * [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)))))))) 1540341228.559 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1540341228.559 * * [misc]simplify: iters left: 6 (16 enodes) 1540341228.563 * * [misc]simplify: iters left: 5 (23 enodes) 1540341228.567 * * [misc]simplify: iters left: 4 (27 enodes) 1540341228.570 * * [misc]simplify: iters left: 3 (28 enodes) 1540341228.573 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (sqrt (/ (sqrt k) (pow (* (* 2 n) PI) (- (/ k 2)))))) 1540341228.573 * [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)))))))) 1540341228.573 * * * * [misc]progress: [ 94 / 158 ] simplifiying candidate # 1540341228.574 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- (/ k 2))))) 1540341228.574 * * [misc]simplify: iters left: 6 (12 enodes) 1540341228.575 * * [misc]simplify: iters left: 5 (20 enodes) 1540341228.578 * * [misc]simplify: iters left: 4 (27 enodes) 1540341228.583 * * [misc]simplify: iters left: 3 (47 enodes) 1540341228.593 * * [misc]simplify: iters left: 2 (86 enodes) 1540341228.619 * * [misc]simplify: iters left: 1 (175 enodes) 1540341228.701 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540341228.701 * [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))))))) 1540341228.701 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540341228.702 * * [misc]simplify: iters left: 6 (15 enodes) 1540341228.706 * * [misc]simplify: iters left: 5 (22 enodes) 1540341228.710 * * [misc]simplify: iters left: 4 (31 enodes) 1540341228.716 * * [misc]simplify: iters left: 3 (34 enodes) 1540341228.720 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (* (* PI 2) n)) (cbrt (sqrt k)))) 1540341228.720 * [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)))))) 1540341228.720 * * * * [misc]progress: [ 95 / 158 ] simplifiying candidate # 1540341228.720 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))) 1540341228.720 * * [misc]simplify: iters left: 6 (17 enodes) 1540341228.723 * * [misc]simplify: iters left: 5 (33 enodes) 1540341228.728 * * [misc]simplify: iters left: 4 (57 enodes) 1540341228.738 * * [misc]simplify: iters left: 3 (78 enodes) 1540341228.765 * * [misc]simplify: iters left: 2 (177 enodes) 1540341228.875 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* (* PI n) 2) (/ (- k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* PI n) 2) (/ (- k) 2))) (cbrt (sqrt k)))) 1540341228.875 * [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)))))))) 1540341228.876 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1540341228.876 * * [misc]simplify: iters left: 6 (17 enodes) 1540341228.880 * * [misc]simplify: iters left: 5 (26 enodes) 1540341228.884 * * [misc]simplify: iters left: 4 (33 enodes) 1540341228.888 * * [misc]simplify: iters left: 3 (36 enodes) 1540341228.892 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- (/ k 2)))) (/ (sqrt (* (* PI 2) n)) (cbrt (sqrt k)))) 1540341228.892 * [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)))))) 1540341228.892 * * * * [misc]progress: [ 96 / 158 ] simplifiying candidate # 1540341228.892 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1540341228.892 * * [misc]simplify: iters left: 6 (16 enodes) 1540341228.895 * * [misc]simplify: iters left: 5 (28 enodes) 1540341228.898 * * [misc]simplify: iters left: 4 (41 enodes) 1540341228.904 * * [misc]simplify: iters left: 3 (62 enodes) 1540341228.920 * * [misc]simplify: iters left: 2 (102 enodes) 1540341228.948 * * [misc]simplify: iters left: 1 (194 enodes) 1540341229.007 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* PI n) 2) (/ (- k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540341229.007 * [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)))))))) 1540341229.008 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1540341229.008 * * [misc]simplify: iters left: 6 (17 enodes) 1540341229.010 * * [misc]simplify: iters left: 5 (26 enodes) 1540341229.014 * * [misc]simplify: iters left: 4 (33 enodes) 1540341229.018 * * [misc]simplify: iters left: 3 (36 enodes) 1540341229.023 * [exit]simplify: Simplified to (* (sqrt (pow (* (* PI 2) n) (- (/ k 2)))) (/ (sqrt (* (* PI 2) n)) (cbrt (sqrt k)))) 1540341229.023 * [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)))))) 1540341229.023 * * * * [misc]progress: [ 97 / 158 ] simplifiying candidate # 1540341229.024 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1540341229.024 * * [misc]simplify: iters left: 6 (7 enodes) 1540341229.025 * * [misc]simplify: iters left: 5 (13 enodes) 1540341229.027 * * [misc]simplify: iters left: 4 (22 enodes) 1540341229.032 * * [misc]simplify: iters left: 3 (24 enodes) 1540341229.037 * * [misc]simplify: iters left: 2 (29 enodes) 1540341229.043 * [exit]simplify: Simplified to (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) 1540341229.043 * [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))))))) 1540341229.043 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341229.044 * * [misc]simplify: iters left: 6 (16 enodes) 1540341229.048 * * [misc]simplify: iters left: 5 (25 enodes) 1540341229.055 * * [misc]simplify: iters left: 4 (32 enodes) 1540341229.064 * * [misc]simplify: iters left: 3 (35 enodes) 1540341229.072 * [exit]simplify: Simplified to (/ (* (sqrt (* n (* PI 2))) (pow (* n (* PI 2)) (- (/ k 2)))) (cbrt (sqrt k))) 1540341229.072 * [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))))) 1540341229.072 * * * * [misc]progress: [ 98 / 158 ] simplifiying candidate # 1540341229.072 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1540341229.073 * * [misc]simplify: iters left: 6 (11 enodes) 1540341229.076 * * [misc]simplify: iters left: 5 (17 enodes) 1540341229.081 * * [misc]simplify: iters left: 4 (20 enodes) 1540341229.086 * * [misc]simplify: iters left: 3 (28 enodes) 1540341229.094 * * [misc]simplify: iters left: 2 (36 enodes) 1540341229.102 * * [misc]simplify: iters left: 1 (46 enodes) 1540341229.113 * [exit]simplify: Simplified to (/ (pow PI (- (/ k 2))) (sqrt (sqrt k))) 1540341229.113 * [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))))))) 1540341229.113 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540341229.113 * * [misc]simplify: iters left: 6 (15 enodes) 1540341229.118 * * [misc]simplify: iters left: 5 (22 enodes) 1540341229.124 * * [misc]simplify: iters left: 4 (31 enodes) 1540341229.132 * * [misc]simplify: iters left: 3 (34 enodes) 1540341229.140 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))) 1540341229.140 * [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)))))) 1540341229.140 * * * * [misc]progress: [ 99 / 158 ] simplifiying candidate # 1540341229.140 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))) 1540341229.140 * * [misc]simplify: iters left: 6 (16 enodes) 1540341229.143 * * [misc]simplify: iters left: 5 (28 enodes) 1540341229.147 * * [misc]simplify: iters left: 4 (39 enodes) 1540341229.153 * * [misc]simplify: iters left: 3 (51 enodes) 1540341229.161 * * [misc]simplify: iters left: 2 (77 enodes) 1540341229.176 * * [misc]simplify: iters left: 1 (127 enodes) 1540341229.208 * [exit]simplify: Simplified to (* (cbrt (pow (* (* n 2) PI) (- (/ k 2)))) (/ (cbrt (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt (sqrt k)))) 1540341229.208 * [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)))))))) 1540341229.208 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1540341229.208 * * [misc]simplify: iters left: 6 (17 enodes) 1540341229.210 * * [misc]simplify: iters left: 5 (26 enodes) 1540341229.214 * * [misc]simplify: iters left: 4 (33 enodes) 1540341229.218 * * [misc]simplify: iters left: 3 (36 enodes) 1540341229.222 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- (/ k 2)))) (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))) 1540341229.222 * [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)))))) 1540341229.222 * * * * [misc]progress: [ 100 / 158 ] simplifiying candidate # 1540341229.222 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1540341229.223 * * [misc]simplify: iters left: 6 (15 enodes) 1540341229.225 * * [misc]simplify: iters left: 5 (25 enodes) 1540341229.229 * * [misc]simplify: iters left: 4 (34 enodes) 1540341229.234 * * [misc]simplify: iters left: 3 (43 enodes) 1540341229.244 * * [misc]simplify: iters left: 2 (51 enodes) 1540341229.255 * * [misc]simplify: iters left: 1 (61 enodes) 1540341229.269 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt (sqrt k))) 1540341229.269 * [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)))))))) 1540341229.270 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1540341229.270 * * [misc]simplify: iters left: 6 (17 enodes) 1540341229.275 * * [misc]simplify: iters left: 5 (26 enodes) 1540341229.282 * * [misc]simplify: iters left: 4 (33 enodes) 1540341229.291 * * [misc]simplify: iters left: 3 (36 enodes) 1540341229.300 * [exit]simplify: Simplified to (* (sqrt (pow (* (* PI 2) n) (- (/ k 2)))) (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))) 1540341229.300 * [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)))))) 1540341229.300 * * * * [misc]progress: [ 101 / 158 ] simplifiying candidate # 1540341229.300 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) 1540341229.300 * * [misc]simplify: iters left: 6 (6 enodes) 1540341229.302 * * [misc]simplify: iters left: 5 (10 enodes) 1540341229.305 * * [misc]simplify: iters left: 4 (16 enodes) 1540341229.309 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1540341229.309 * [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))))))) 1540341229.309 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341229.309 * * [misc]simplify: iters left: 6 (16 enodes) 1540341229.314 * * [misc]simplify: iters left: 5 (25 enodes) 1540341229.321 * * [misc]simplify: iters left: 4 (32 enodes) 1540341229.330 * * [misc]simplify: iters left: 3 (35 enodes) 1540341229.338 * [exit]simplify: Simplified to (/ (* (sqrt (* n (* PI 2))) (pow (* n (* PI 2)) (- (/ k 2)))) (sqrt (sqrt k))) 1540341229.338 * [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))))) 1540341229.338 * * * * [misc]progress: [ 102 / 158 ] simplifiying candidate # 1540341229.339 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow PI (- (/ k 2))))) 1540341229.339 * * [misc]simplify: iters left: 6 (9 enodes) 1540341229.342 * * [misc]simplify: iters left: 5 (15 enodes) 1540341229.346 * * [misc]simplify: iters left: 4 (16 enodes) 1540341229.350 * * [misc]simplify: iters left: 3 (20 enodes) 1540341229.355 * [exit]simplify: Simplified to (pow PI (- (/ k 2))) 1540341229.355 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (- (/ k 2))) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1540341229.355 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1540341229.355 * * [misc]simplify: iters left: 6 (14 enodes) 1540341229.360 * * [misc]simplify: iters left: 5 (21 enodes) 1540341229.367 * * [misc]simplify: iters left: 4 (30 enodes) 1540341229.375 * * [misc]simplify: iters left: 3 (33 enodes) 1540341229.384 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* 2 n) (- (/ k 2))))) 1540341229.384 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- (/ k 2))) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* 2 n) (- (/ k 2))))))) 1540341229.384 * * * * [misc]progress: [ 103 / 158 ] simplifiying candidate # 1540341229.384 * [enter]simplify: Simplifying (/ 1 (/ 1 (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))) 1540341229.384 * * [misc]simplify: iters left: 6 (14 enodes) 1540341229.390 * * [misc]simplify: iters left: 5 (26 enodes) 1540341229.396 * * [misc]simplify: iters left: 4 (33 enodes) 1540341229.405 * * [misc]simplify: iters left: 3 (40 enodes) 1540341229.415 * * [misc]simplify: iters left: 2 (42 enodes) 1540341229.419 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 PI) n) (/ (- k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- k) 2)))) 1540341229.419 * [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)))))))) 1540341229.420 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1540341229.420 * * [misc]simplify: iters left: 6 (16 enodes) 1540341229.422 * * [misc]simplify: iters left: 5 (25 enodes) 1540341229.425 * * [misc]simplify: iters left: 4 (32 enodes) 1540341229.429 * * [misc]simplify: iters left: 3 (35 enodes) 1540341229.433 * [exit]simplify: Simplified to (* (/ (sqrt (* n (* PI 2))) (sqrt k)) (cbrt (pow (* n (* PI 2)) (- (/ k 2))))) 1540341229.433 * [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))))))) 1540341229.433 * * * * [misc]progress: [ 104 / 158 ] simplifiying candidate # 1540341229.434 * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1540341229.434 * * [misc]simplify: iters left: 6 (13 enodes) 1540341229.436 * * [misc]simplify: iters left: 5 (23 enodes) 1540341229.439 * * [misc]simplify: iters left: 4 (30 enodes) 1540341229.443 * * [misc]simplify: iters left: 3 (35 enodes) 1540341229.451 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 PI) n) (/ (- k) 2))) 1540341229.451 * [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)))))))) 1540341229.451 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1540341229.451 * * [misc]simplify: iters left: 6 (16 enodes) 1540341229.456 * * [misc]simplify: iters left: 5 (25 enodes) 1540341229.463 * * [misc]simplify: iters left: 4 (32 enodes) 1540341229.471 * * [misc]simplify: iters left: 3 (35 enodes) 1540341229.479 * [exit]simplify: Simplified to (* (/ (sqrt (* n (* PI 2))) (sqrt k)) (sqrt (pow (* n (* PI 2)) (- (/ k 2))))) 1540341229.480 * [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))))))) 1540341229.480 * * * * [misc]progress: [ 105 / 158 ] simplifiying candidate # 1540341229.480 * [enter]simplify: Simplifying (/ 1 (/ 1 1)) 1540341229.480 * * [misc]simplify: iters left: 4 (3 enodes) 1540341229.482 * * [misc]simplify: iters left: 3 (5 enodes) 1540341229.483 * [exit]simplify: Simplified to 1 1540341229.483 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1540341229.483 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341229.483 * * [misc]simplify: iters left: 6 (15 enodes) 1540341229.488 * * [misc]simplify: iters left: 5 (24 enodes) 1540341229.495 * * [misc]simplify: iters left: 4 (31 enodes) 1540341229.502 * * [misc]simplify: iters left: 3 (34 enodes) 1540341229.510 * [exit]simplify: Simplified to (/ (* (pow (* (* PI 2) n) (/ (- k) 2)) (sqrt (* (* PI 2) n))) (sqrt k)) 1540341229.511 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (* (pow (* (* PI 2) n) (/ (- k) 2)) (sqrt (* (* PI 2) n))) (sqrt k)))) 1540341229.511 * * * * [misc]progress: [ 106 / 158 ] simplifiying candidate # 1540341229.511 * [enter]simplify: Simplifying (/ 1 1) 1540341229.511 * * [misc]simplify: iters left: 2 (2 enodes) 1540341229.512 * * [misc]simplify: iters left: 1 (4 enodes) 1540341229.512 * [exit]simplify: Simplified to 1 1540341229.512 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1540341229.513 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341229.513 * * [misc]simplify: iters left: 6 (15 enodes) 1540341229.517 * * [misc]simplify: iters left: 5 (24 enodes) 1540341229.524 * * [misc]simplify: iters left: 4 (31 enodes) 1540341229.532 * * [misc]simplify: iters left: 3 (34 enodes) 1540341229.540 * [exit]simplify: Simplified to (/ (* (pow (* (* PI 2) n) (/ (- k) 2)) (sqrt (* (* PI 2) n))) (sqrt k)) 1540341229.540 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (* (pow (* (* PI 2) n) (/ (- k) 2)) (sqrt (* (* PI 2) n))) (sqrt k)))) 1540341229.540 * * * * [misc]progress: [ 107 / 158 ] simplifiying candidate # 1540341229.540 * [enter]simplify: Simplifying (/ 1 (sqrt k)) 1540341229.540 * * [misc]simplify: iters left: 3 (4 enodes) 1540341229.542 * * [misc]simplify: iters left: 2 (6 enodes) 1540341229.543 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1540341229.543 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (sqrt (* (* 2 n) PI)) (/ 1 (pow (* PI (* n 2)) (- (/ k 2))))))) 1540341229.544 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (/ 1 (pow (* PI (* n 2)) (- (/ k 2))))) 1540341229.544 * * [misc]simplify: iters left: 6 (15 enodes) 1540341229.549 * * [misc]simplify: iters left: 5 (26 enodes) 1540341229.556 * * [misc]simplify: iters left: 4 (33 enodes) 1540341229.565 * * [misc]simplify: iters left: 3 (44 enodes) 1540341229.576 * * [misc]simplify: iters left: 2 (46 enodes) 1540341229.584 * * [misc]simplify: iters left: 1 (51 enodes) 1540341229.595 * [exit]simplify: Simplified to (* (pow (* (* PI 2) n) (/ (- k) 2)) (sqrt (* (* PI 2) n))) 1540341229.595 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* PI 2) n) (/ (- k) 2)) (sqrt (* (* PI 2) n))))) 1540341229.595 * * * * [misc]progress: [ 108 / 158 ] simplifiying candidate # 1540341229.595 * [enter]simplify: Simplifying (/ 1 (/ (sqrt k) 1)) 1540341229.595 * * [misc]simplify: iters left: 5 (5 enodes) 1540341229.597 * * [misc]simplify: iters left: 4 (9 enodes) 1540341229.600 * * [misc]simplify: iters left: 3 (15 enodes) 1540341229.603 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1540341229.603 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2))))) 1540341229.604 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2))) 1540341229.604 * * [misc]simplify: iters left: 6 (12 enodes) 1540341229.608 * * [misc]simplify: iters left: 5 (17 enodes) 1540341229.612 * * [misc]simplify: iters left: 4 (21 enodes) 1540341229.618 * * [misc]simplify: iters left: 3 (22 enodes) 1540341229.623 * [exit]simplify: Simplified to (/ (sqrt (* (* PI n) 2)) (pow (* (* PI n) 2) (/ k 2))) 1540341229.623 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (/ (sqrt (* (* PI n) 2)) (pow (* (* PI n) 2) (/ k 2))))) 1540341229.623 * * * * [misc]progress: [ 109 / 158 ] simplifiying candidate # 1540341229.623 * [enter]simplify: Simplifying (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) 0))) 1540341229.624 * * [misc]simplify: iters left: 6 (12 enodes) 1540341229.628 * * [misc]simplify: iters left: 5 (19 enodes) 1540341229.633 * * [misc]simplify: iters left: 4 (25 enodes) 1540341229.640 * * [misc]simplify: iters left: 3 (32 enodes) 1540341229.647 * * [misc]simplify: iters left: 2 (33 enodes) 1540341229.652 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1540341229.652 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2))))) 1540341229.653 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2))) 1540341229.653 * * [misc]simplify: iters left: 6 (12 enodes) 1540341229.656 * * [misc]simplify: iters left: 5 (17 enodes) 1540341229.661 * * [misc]simplify: iters left: 4 (21 enodes) 1540341229.666 * * [misc]simplify: iters left: 3 (22 enodes) 1540341229.671 * [exit]simplify: Simplified to (/ (sqrt (* (* PI n) 2)) (pow (* (* PI n) 2) (/ k 2))) 1540341229.671 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (/ (sqrt (* (* PI n) 2)) (pow (* (* PI n) 2) (/ k 2))))) 1540341229.671 * * * * [misc]progress: [ 110 / 158 ] simplifiying candidate # 1540341229.671 * * * * [misc]progress: [ 111 / 158 ] simplifiying candidate # 1540341229.671 * * * * [misc]progress: [ 112 / 158 ] simplifiying candidate # 1540341229.672 * * * * [misc]progress: [ 113 / 158 ] simplifiying candidate # 1540341229.672 * [enter]simplify: Simplifying (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341229.672 * * [misc]simplify: iters left: 6 (12 enodes) 1540341229.673 * * [misc]simplify: iters left: 5 (18 enodes) 1540341229.676 * * [misc]simplify: iters left: 4 (24 enodes) 1540341229.679 * * [misc]simplify: iters left: 3 (26 enodes) 1540341229.682 * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- k) 2)))) 1540341229.682 * [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)))))) 1540341229.682 * * * * [misc]progress: [ 114 / 158 ] simplifiying candidate # 1540341229.682 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341229.682 * * [misc]simplify: iters left: 6 (12 enodes) 1540341229.684 * * [misc]simplify: iters left: 5 (18 enodes) 1540341229.687 * * [misc]simplify: iters left: 4 (24 enodes) 1540341229.690 * * [misc]simplify: iters left: 3 (26 enodes) 1540341229.693 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- k) 2)))) 1540341229.693 * [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)))))) 1540341229.693 * * * * [misc]progress: [ 115 / 158 ] simplifiying candidate # 1540341229.694 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1540341229.694 * * [misc]simplify: iters left: 6 (10 enodes) 1540341229.695 * * [misc]simplify: iters left: 5 (13 enodes) 1540341229.697 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1540341229.697 * [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))))) 1540341229.697 * * * * [misc]progress: [ 116 / 158 ] simplifiying candidate # 1540341229.697 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) 1540341229.697 * * [misc]simplify: iters left: 6 (13 enodes) 1540341229.699 * * [misc]simplify: iters left: 5 (19 enodes) 1540341229.702 * * [misc]simplify: iters left: 4 (25 enodes) 1540341229.707 * * [misc]simplify: iters left: 3 (26 enodes) 1540341229.713 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- (/ k 2))))) 1540341229.713 * [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))))))) 1540341229.713 * * * * [misc]progress: [ 117 / 158 ] simplifiying candidate # 1540341229.713 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) 1540341229.713 * * [misc]simplify: iters left: 6 (13 enodes) 1540341229.717 * * [misc]simplify: iters left: 5 (19 enodes) 1540341229.722 * * [misc]simplify: iters left: 4 (25 enodes) 1540341229.729 * * [misc]simplify: iters left: 3 (26 enodes) 1540341229.735 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- (/ k 2))))) 1540341229.735 * [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))))))) 1540341229.736 * * * * [misc]progress: [ 118 / 158 ] simplifiying candidate # 1540341229.736 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1540341229.736 * * [misc]simplify: iters left: 6 (12 enodes) 1540341229.740 * * [misc]simplify: iters left: 5 (18 enodes) 1540341229.743 * * [misc]simplify: iters left: 4 (24 enodes) 1540341229.746 * * [misc]simplify: iters left: 3 (25 enodes) 1540341229.749 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1540341229.749 * [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)))))) 1540341229.749 * * * * [misc]progress: [ 119 / 158 ] simplifiying candidate # 1540341229.749 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1540341229.749 * * [misc]simplify: iters left: 6 (10 enodes) 1540341229.750 * * [misc]simplify: iters left: 5 (13 enodes) 1540341229.752 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1540341229.752 * [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))))) 1540341229.752 * * * * [misc]progress: [ 120 / 158 ] simplifiying candidate # 1540341229.752 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) 1540341229.752 * * [misc]simplify: iters left: 6 (13 enodes) 1540341229.754 * * [misc]simplify: iters left: 5 (19 enodes) 1540341229.757 * * [misc]simplify: iters left: 4 (25 enodes) 1540341229.760 * * [misc]simplify: iters left: 3 (26 enodes) 1540341229.763 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- (/ k 2))))) 1540341229.763 * [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))))))) 1540341229.763 * * * * [misc]progress: [ 121 / 158 ] simplifiying candidate # 1540341229.763 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) 1540341229.763 * * [misc]simplify: iters left: 6 (13 enodes) 1540341229.765 * * [misc]simplify: iters left: 5 (19 enodes) 1540341229.768 * * [misc]simplify: iters left: 4 (25 enodes) 1540341229.771 * * [misc]simplify: iters left: 3 (26 enodes) 1540341229.774 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- (/ k 2))))) 1540341229.774 * [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))))))) 1540341229.774 * * * * [misc]progress: [ 122 / 158 ] simplifiying candidate # 1540341229.775 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1540341229.775 * * [misc]simplify: iters left: 6 (12 enodes) 1540341229.777 * * [misc]simplify: iters left: 5 (18 enodes) 1540341229.779 * * [misc]simplify: iters left: 4 (24 enodes) 1540341229.782 * * [misc]simplify: iters left: 3 (25 enodes) 1540341229.785 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1540341229.785 * [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)))))) 1540341229.785 * * * * [misc]progress: [ 123 / 158 ] simplifiying candidate # 1540341229.785 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1540341229.785 * * [misc]simplify: iters left: 6 (9 enodes) 1540341229.787 * * [misc]simplify: iters left: 5 (12 enodes) 1540341229.788 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1540341229.788 * [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))))) 1540341229.788 * * * * [misc]progress: [ 124 / 158 ] simplifiying candidate # 1540341229.789 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) 1540341229.789 * * [misc]simplify: iters left: 6 (12 enodes) 1540341229.790 * * [misc]simplify: iters left: 5 (18 enodes) 1540341229.793 * * [misc]simplify: iters left: 4 (24 enodes) 1540341229.796 * * [misc]simplify: iters left: 3 (26 enodes) 1540341229.799 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (/ (- k) 2)))) 1540341229.799 * [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)))))) 1540341229.799 * * * * [misc]progress: [ 125 / 158 ] simplifiying candidate # 1540341229.799 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) 1540341229.799 * * [misc]simplify: iters left: 6 (12 enodes) 1540341229.801 * * [misc]simplify: iters left: 5 (18 enodes) 1540341229.804 * * [misc]simplify: iters left: 4 (24 enodes) 1540341229.807 * * [misc]simplify: iters left: 3 (26 enodes) 1540341229.810 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (/ (- k) 2)))) 1540341229.810 * [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)))))) 1540341229.810 * * * * [misc]progress: [ 126 / 158 ] simplifiying candidate # 1540341229.811 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1540341229.811 * * [misc]simplify: iters left: 6 (11 enodes) 1540341229.812 * * [misc]simplify: iters left: 5 (17 enodes) 1540341229.815 * * [misc]simplify: iters left: 4 (23 enodes) 1540341229.818 * * [misc]simplify: iters left: 3 (24 enodes) 1540341229.820 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1540341229.820 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (/ 1 1)) (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))))) 1540341229.820 * * * * [misc]progress: [ 127 / 158 ] simplifiying candidate # 1540341229.821 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1540341229.821 * * [misc]simplify: iters left: 6 (11 enodes) 1540341229.822 * * [misc]simplify: iters left: 5 (17 enodes) 1540341229.825 * * [misc]simplify: iters left: 4 (23 enodes) 1540341229.827 * * [misc]simplify: iters left: 3 (24 enodes) 1540341229.830 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1540341229.830 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) 1) (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))))) 1540341229.830 * * * * [misc]progress: [ 128 / 158 ] simplifiying candidate # 1540341229.830 * [enter]simplify: Simplifying (/ 1 (pow (* PI (* n 2)) (- (/ k 2)))) 1540341229.831 * * [misc]simplify: iters left: 6 (11 enodes) 1540341229.832 * * [misc]simplify: iters left: 5 (19 enodes) 1540341229.835 * * [misc]simplify: iters left: 4 (25 enodes) 1540341229.838 * * [misc]simplify: iters left: 3 (26 enodes) 1540341229.842 * [exit]simplify: Simplified to (/ 1 (pow (* (* n PI) 2) (- (/ k 2)))) 1540341229.842 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (sqrt k)) (/ 1 (pow (* (* n PI) 2) (- (/ k 2)))))) 1540341229.842 * * * * [misc]progress: [ 129 / 158 ] simplifiying candidate # 1540341229.842 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1540341229.842 * * [misc]simplify: iters left: 5 (8 enodes) 1540341229.845 * * [misc]simplify: iters left: 4 (12 enodes) 1540341229.849 * * [misc]simplify: iters left: 3 (18 enodes) 1540341229.854 * * [misc]simplify: iters left: 2 (20 enodes) 1540341229.859 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1540341229.859 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) 1)) (pow (* (* 2 n) PI) (/ k 2)))) 1540341229.859 * * * * [misc]progress: [ 130 / 158 ] simplifiying candidate # 1540341229.859 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1540341229.859 * * [misc]simplify: iters left: 5 (8 enodes) 1540341229.861 * * [misc]simplify: iters left: 4 (12 enodes) 1540341229.865 * * [misc]simplify: iters left: 3 (18 enodes) 1540341229.869 * * [misc]simplify: iters left: 2 (20 enodes) 1540341229.871 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1540341229.871 * [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)))) 1540341229.871 * * * * [misc]progress: [ 131 / 158 ] simplifiying candidate # 1540341229.871 * [enter]simplify: Simplifying (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) 1540341229.871 * * [misc]simplify: iters left: 6 (8 enodes) 1540341229.872 * * [misc]simplify: iters left: 5 (12 enodes) 1540341229.874 * * [misc]simplify: iters left: 4 (18 enodes) 1540341229.877 * * [misc]simplify: iters left: 3 (20 enodes) 1540341229.879 * [exit]simplify: Simplified to (* (cbrt (sqrt (* 2 (* PI n)))) (cbrt (sqrt (* 2 (* PI n))))) 1540341229.879 * [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)))))) 1540341229.879 * * * * [misc]progress: [ 132 / 158 ] simplifiying candidate # 1540341229.879 * [enter]simplify: Simplifying (sqrt (* 2 n)) 1540341229.879 * * [misc]simplify: iters left: 3 (4 enodes) 1540341229.880 * * [misc]simplify: iters left: 2 (5 enodes) 1540341229.880 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1540341229.880 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* 2 n)) (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt PI)))) 1540341229.880 * * * * [misc]progress: [ 133 / 158 ] simplifiying candidate # 1540341229.881 * [enter]simplify: Simplifying (sqrt (sqrt (* (* 2 n) PI))) 1540341229.881 * * [misc]simplify: iters left: 6 (7 enodes) 1540341229.882 * * [misc]simplify: iters left: 5 (11 enodes) 1540341229.883 * * [misc]simplify: iters left: 4 (17 enodes) 1540341229.885 * * [misc]simplify: iters left: 3 (19 enodes) 1540341229.888 * [exit]simplify: Simplified to (sqrt (sqrt (* (* 2 n) PI))) 1540341229.888 * [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)))))) 1540341229.888 * * * * [misc]progress: [ 134 / 158 ] simplifiying candidate # 1540341229.888 * * * * [misc]progress: [ 135 / 158 ] simplifiying candidate # 1540341229.888 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1540341229.888 * * [misc]simplify: iters left: 5 (9 enodes) 1540341229.889 * * [misc]simplify: iters left: 4 (15 enodes) 1540341229.891 * * [misc]simplify: iters left: 3 (21 enodes) 1540341229.894 * * [misc]simplify: iters left: 2 (22 enodes) 1540341229.897 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1540341229.897 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2))))) 1540341229.897 * * * * [misc]progress: [ 136 / 158 ] simplifiying candidate # 1540341229.897 * * * * [misc]progress: [ 137 / 158 ] simplifiying candidate # 1540341229.897 * * * * [misc]progress: [ 138 / 158 ] simplifiying candidate # 1540341229.897 * * * * [misc]progress: [ 139 / 158 ] simplifiying candidate # 1540341229.897 * * * * [misc]progress: [ 140 / 158 ] simplifiying candidate # 1540341229.897 * * * * [misc]progress: [ 141 / 158 ] simplifiying candidate # 1540341229.898 * * * * [misc]progress: [ 142 / 158 ] simplifiying candidate # 1540341229.898 * * * * [misc]progress: [ 143 / 158 ] simplifiying candidate # 1540341229.898 * * * * [misc]progress: [ 144 / 158 ] simplifiying candidate # 1540341229.898 * [enter]simplify: Simplifying (sqrt (* 2 n)) 1540341229.898 * * [misc]simplify: iters left: 3 (4 enodes) 1540341229.898 * * [misc]simplify: iters left: 2 (5 enodes) 1540341229.899 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1540341229.899 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (* 2 n)) (sqrt PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1540341229.899 * * * * [misc]progress: [ 145 / 158 ] simplifiying candidate # 1540341229.899 * * * * [misc]progress: [ 146 / 158 ] simplifiying candidate # 1540341229.899 * * * * [misc]progress: [ 147 / 158 ] simplifiying candidate # 1540341229.899 * [enter]simplify: Simplifying (* 2 (* n PI)) 1540341229.899 * * [misc]simplify: iters left: 4 (5 enodes) 1540341229.900 * * [misc]simplify: iters left: 3 (9 enodes) 1540341229.901 * * [misc]simplify: iters left: 2 (15 enodes) 1540341229.903 * * [misc]simplify: iters left: 1 (17 enodes) 1540341229.905 * [exit]simplify: Simplified to (* (* PI n) 2) 1540341229.905 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* (* PI n) 2) (- (/ k 2)))))) 1540341229.905 * * * * [misc]progress: [ 148 / 158 ] simplifiying candidate # 1540341229.905 * [enter]simplify: Simplifying (* 2 (* n PI)) 1540341229.905 * * [misc]simplify: iters left: 4 (5 enodes) 1540341229.906 * * [misc]simplify: iters left: 3 (9 enodes) 1540341229.908 * * [misc]simplify: iters left: 2 (15 enodes) 1540341229.911 * * [misc]simplify: iters left: 1 (17 enodes) 1540341229.915 * [exit]simplify: Simplified to (* (* PI n) 2) 1540341229.915 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* (* PI n) 2) (- (/ k 2)))))) 1540341229.915 * * * * [misc]progress: [ 149 / 158 ] simplifiying candidate # 1540341229.916 * [enter]simplify: Simplifying (* 2 (* n PI)) 1540341229.916 * * [misc]simplify: iters left: 4 (5 enodes) 1540341229.917 * * [misc]simplify: iters left: 3 (9 enodes) 1540341229.920 * * [misc]simplify: iters left: 2 (15 enodes) 1540341229.924 * * [misc]simplify: iters left: 1 (17 enodes) 1540341229.928 * [exit]simplify: Simplified to (* (* PI n) 2) 1540341229.928 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* (* PI n) 2) (- (/ k 2)))))) 1540341229.928 * * * * [misc]progress: [ 150 / 158 ] simplifiying candidate # 1540341229.928 * [enter]simplify: Simplifying (* 2 (* n PI)) 1540341229.928 * * [misc]simplify: iters left: 4 (5 enodes) 1540341229.930 * * [misc]simplify: iters left: 3 (9 enodes) 1540341229.932 * * [misc]simplify: iters left: 2 (15 enodes) 1540341229.936 * * [misc]simplify: iters left: 1 (17 enodes) 1540341229.940 * [exit]simplify: Simplified to (* (* PI n) 2) 1540341229.940 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (sqrt (* (* PI n) 2)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1540341229.940 * * * * [misc]progress: [ 151 / 158 ] simplifiying candidate # 1540341229.940 * [enter]simplify: Simplifying (* 2 (* n PI)) 1540341229.940 * * [misc]simplify: iters left: 4 (5 enodes) 1540341229.941 * * [misc]simplify: iters left: 3 (9 enodes) 1540341229.942 * * [misc]simplify: iters left: 2 (15 enodes) 1540341229.944 * * [misc]simplify: iters left: 1 (17 enodes) 1540341229.946 * [exit]simplify: Simplified to (* (* PI n) 2) 1540341229.946 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (sqrt (* (* PI n) 2)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1540341229.946 * * * * [misc]progress: [ 152 / 158 ] simplifiying candidate # 1540341229.946 * [enter]simplify: Simplifying (* 2 (* n PI)) 1540341229.946 * * [misc]simplify: iters left: 4 (5 enodes) 1540341229.947 * * [misc]simplify: iters left: 3 (9 enodes) 1540341229.948 * * [misc]simplify: iters left: 2 (15 enodes) 1540341229.950 * * [misc]simplify: iters left: 1 (17 enodes) 1540341229.952 * [exit]simplify: Simplified to (* (* PI n) 2) 1540341229.952 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (sqrt (* (* PI n) 2)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1540341229.952 * * * * [misc]progress: [ 153 / 158 ] simplifiying candidate # 1540341229.953 * [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)))))))))))))) 1540341229.953 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1540341229.953 * * * * [misc]progress: [ 154 / 158 ] simplifiying candidate # 1540341229.953 * [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))))))) 1540341229.953 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1540341229.953 * * * * [misc]progress: [ 155 / 158 ] simplifiying candidate # 1540341229.953 * [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))))))) 1540341229.953 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1540341229.953 * * * * [misc]progress: [ 156 / 158 ] simplifiying candidate # 1540341229.953 * [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))))))))) 1540341229.953 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ +nan.0 (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1540341229.953 * * * * [misc]progress: [ 157 / 158 ] simplifiying candidate # 1540341229.953 * [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))))))) 1540341229.953 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ +nan.0 (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1540341229.953 * * * * [misc]progress: [ 158 / 158 ] simplifiying candidate # 1540341229.954 * [enter]simplify: Simplifying (- (+ (* +nan.0 PI) (- (+ (* +nan.0 (/ (pow PI 3) (pow n 2))) (- (* +nan.0 (/ (pow PI 2) n))))))) 1540341229.954 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ +nan.0 (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1540341229.954 * * * [misc]progress: adding candidates to table 1540341231.968 * * [misc]progress: iteration 3 / 4 1540341231.968 * * * [misc]progress: picking best candidate 1540341232.040 * * * * [misc]pick: Picked # 1540341232.040 * * * [misc]progress: localizing error 1540341232.046 * * * [misc]progress: generating rewritten candidates 1540341232.046 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) 1540341232.054 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 1) 1540341232.056 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1) 1540341232.059 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1) 1540341232.060 * * * [misc]progress: generating series expansions 1540341232.060 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) 1540341232.060 * [misc]backup-simplify: Simplify (/ (sqrt (* (* 2 n) PI)) (sqrt k)) into (* (sqrt 2) (sqrt (/ (* n PI) k))) 1540341232.060 * [misc]approximate: Taking taylor expansion of (* (sqrt 2) (sqrt (/ (* n PI) k))) in (n k) around 0 1540341232.060 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (/ (* n PI) k))) in k 1540341232.060 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1540341232.060 * [misc]taylor: Taking taylor expansion of 2 in k 1540341232.060 * [misc]backup-simplify: Simplify 2 into 2 1540341232.061 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540341232.061 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540341232.061 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* n PI) k)) in k 1540341232.061 * [misc]taylor: Taking taylor expansion of (/ (* n PI) k) in k 1540341232.061 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1540341232.061 * [misc]taylor: Taking taylor expansion of n in k 1540341232.061 * [misc]backup-simplify: Simplify n into n 1540341232.061 * [misc]taylor: Taking taylor expansion of PI in k 1540341232.061 * [misc]backup-simplify: Simplify PI into PI 1540341232.061 * [misc]taylor: Taking taylor expansion of k in k 1540341232.061 * [misc]backup-simplify: Simplify 0 into 0 1540341232.061 * [misc]backup-simplify: Simplify 1 into 1 1540341232.061 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1540341232.061 * [misc]backup-simplify: Simplify (/ (* n PI) 1) into (* n PI) 1540341232.061 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540341232.061 * [misc]backup-simplify: Simplify (/ (* n PI) (* 2 (sqrt 0))) into (* +nan.0 (* n PI)) 1540341232.061 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (/ (* n PI) k))) in n 1540341232.061 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540341232.061 * [misc]taylor: Taking taylor expansion of 2 in n 1540341232.061 * [misc]backup-simplify: Simplify 2 into 2 1540341232.062 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540341232.062 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540341232.062 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* n PI) k)) in n 1540341232.062 * [misc]taylor: Taking taylor expansion of (/ (* n PI) k) in n 1540341232.062 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540341232.062 * [misc]taylor: Taking taylor expansion of n in n 1540341232.062 * [misc]backup-simplify: Simplify 0 into 0 1540341232.062 * [misc]backup-simplify: Simplify 1 into 1 1540341232.062 * [misc]taylor: Taking taylor expansion of PI in n 1540341232.062 * [misc]backup-simplify: Simplify PI into PI 1540341232.062 * [misc]taylor: Taking taylor expansion of k in n 1540341232.062 * [misc]backup-simplify: Simplify k into k 1540341232.062 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540341232.063 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540341232.063 * [misc]backup-simplify: Simplify (/ PI k) into (/ PI k) 1540341232.063 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540341232.063 * [misc]backup-simplify: Simplify (/ (/ PI k) (* 2 (sqrt 0))) into (* +nan.0 (/ PI k)) 1540341232.063 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (/ (* n PI) k))) in n 1540341232.063 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540341232.063 * [misc]taylor: Taking taylor expansion of 2 in n 1540341232.063 * [misc]backup-simplify: Simplify 2 into 2 1540341232.063 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540341232.063 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540341232.063 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* n PI) k)) in n 1540341232.063 * [misc]taylor: Taking taylor expansion of (/ (* n PI) k) in n 1540341232.063 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540341232.063 * [misc]taylor: Taking taylor expansion of n in n 1540341232.063 * [misc]backup-simplify: Simplify 0 into 0 1540341232.063 * [misc]backup-simplify: Simplify 1 into 1 1540341232.063 * [misc]taylor: Taking taylor expansion of PI in n 1540341232.063 * [misc]backup-simplify: Simplify PI into PI 1540341232.063 * [misc]taylor: Taking taylor expansion of k in n 1540341232.063 * [misc]backup-simplify: Simplify k into k 1540341232.063 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540341232.064 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540341232.064 * [misc]backup-simplify: Simplify (/ PI k) into (/ PI k) 1540341232.064 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540341232.064 * [misc]backup-simplify: Simplify (/ (/ PI k) (* 2 (sqrt 0))) into (* +nan.0 (/ PI k)) 1540341232.064 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1540341232.064 * [misc]taylor: Taking taylor expansion of 0 in k 1540341232.064 * [misc]backup-simplify: Simplify 0 into 0 1540341232.065 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (/ PI k))) (* 0 0)) into (- (* +nan.0 (/ (* (sqrt 2) PI) k))) 1540341232.065 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) PI) k))) in k 1540341232.065 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) PI) k)) in k 1540341232.065 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1540341232.065 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540341232.065 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt 2) PI) k) in k 1540341232.065 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) PI) in k 1540341232.065 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1540341232.065 * [misc]taylor: Taking taylor expansion of 2 in k 1540341232.065 * [misc]backup-simplify: Simplify 2 into 2 1540341232.065 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540341232.065 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540341232.065 * [misc]taylor: Taking taylor expansion of PI in k 1540341232.065 * [misc]backup-simplify: Simplify PI into PI 1540341232.065 * [misc]taylor: Taking taylor expansion of k in k 1540341232.065 * [misc]backup-simplify: Simplify 0 into 0 1540341232.065 * [misc]backup-simplify: Simplify 1 into 1 1540341232.065 * [misc]backup-simplify: Simplify (* (sqrt 2) PI) into (* (sqrt 2) PI) 1540341232.066 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) PI) 1) into (* (sqrt 2) PI) 1540341232.066 * [misc]backup-simplify: Simplify (* +nan.0 (* (sqrt 2) PI)) into (* +nan.0 (* (sqrt 2) PI)) 1540341232.067 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1540341232.068 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1540341232.068 * [misc]backup-simplify: Simplify 0 into 0 1540341232.069 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1540341232.069 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ PI k) (/ 0 k)))) into 0 1540341232.069 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (/ PI k)) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow PI 2) (pow k 2))) 1540341232.071 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1540341232.071 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (/ (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (/ PI k))) (* 0 0))) into (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (pow k 2)))) 1540341232.072 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (pow k 2)))) in k 1540341232.072 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (pow k 2))) in k 1540341232.072 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1540341232.072 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540341232.072 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt 2) (pow PI 2)) (pow k 2)) in k 1540341232.072 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow PI 2)) in k 1540341232.072 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1540341232.072 * [misc]taylor: Taking taylor expansion of 2 in k 1540341232.072 * [misc]backup-simplify: Simplify 2 into 2 1540341232.072 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540341232.072 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540341232.072 * [misc]taylor: Taking taylor expansion of (pow PI 2) in k 1540341232.072 * [misc]taylor: Taking taylor expansion of PI in k 1540341232.072 * [misc]backup-simplify: Simplify PI into PI 1540341232.072 * [misc]taylor: Taking taylor expansion of (pow k 2) in k 1540341232.072 * [misc]taylor: Taking taylor expansion of k in k 1540341232.072 * [misc]backup-simplify: Simplify 0 into 0 1540341232.072 * [misc]backup-simplify: Simplify 1 into 1 1540341232.073 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1540341232.073 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2)) 1540341232.073 * [misc]backup-simplify: Simplify (* 1 1) into 1 1540341232.074 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) (pow PI 2)) 1) into (* (sqrt 2) (pow PI 2)) 1540341232.075 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 1540341232.076 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 2))) into 0 1540341232.076 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1540341232.078 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sqrt 2) (pow PI 2)) (/ 0 1)))) into 0 1540341232.080 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2) (pow PI 2)))) into 0 1540341232.080 * [misc]backup-simplify: Simplify (- 0) into 0 1540341232.080 * [misc]backup-simplify: Simplify 0 into 0 1540341232.081 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 PI)) into 0 1540341232.082 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sqrt 2) PI) (/ 0 1)))) into 0 1540341232.083 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2) PI))) into 0 1540341232.084 * [misc]backup-simplify: Simplify (- 0) into 0 1540341232.084 * [misc]backup-simplify: Simplify 0 into 0 1540341232.084 * [misc]backup-simplify: Simplify 0 into 0 1540341232.085 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1540341232.085 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ PI k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540341232.086 * [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))) 1540341232.087 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1540341232.088 * [misc]backup-simplify: Simplify (+ (* (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 (/ (* (sqrt 2) (pow PI 3)) (pow k 3)))) 1540341232.088 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (pow k 3)))) in k 1540341232.088 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (pow k 3))) in k 1540341232.088 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1540341232.088 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540341232.088 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt 2) (pow PI 3)) (pow k 3)) in k 1540341232.088 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow PI 3)) in k 1540341232.088 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1540341232.088 * [misc]taylor: Taking taylor expansion of 2 in k 1540341232.088 * [misc]backup-simplify: Simplify 2 into 2 1540341232.088 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540341232.089 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540341232.089 * [misc]taylor: Taking taylor expansion of (pow PI 3) in k 1540341232.089 * [misc]taylor: Taking taylor expansion of PI in k 1540341232.089 * [misc]backup-simplify: Simplify PI into PI 1540341232.089 * [misc]taylor: Taking taylor expansion of (pow k 3) in k 1540341232.089 * [misc]taylor: Taking taylor expansion of k in k 1540341232.089 * [misc]backup-simplify: Simplify 0 into 0 1540341232.089 * [misc]backup-simplify: Simplify 1 into 1 1540341232.089 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1540341232.089 * [misc]backup-simplify: Simplify (* PI (pow PI 2)) into (pow PI 3) 1540341232.090 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 3)) into (* (sqrt 2) (pow PI 3)) 1540341232.090 * [misc]backup-simplify: Simplify (* 1 1) into 1 1540341232.090 * [misc]backup-simplify: Simplify (* 1 1) into 1 1540341232.091 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) (pow PI 3)) 1) into (* (sqrt 2) (pow PI 3)) 1540341232.093 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 1540341232.093 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 1540341232.095 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 1540341232.096 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (pow PI 2))) into 0 1540341232.097 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1540341232.099 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (pow PI 3)))) into 0 1540341232.099 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1540341232.099 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1540341232.100 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1540341232.101 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 3))) into 0 1540341232.101 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1540341232.103 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sqrt 2) (pow PI 3)) (/ 0 1)))) into 0 1540341232.105 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sqrt 2) (pow PI 3)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341232.107 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (* (sqrt 2) (pow PI 3))))) into 0 1540341232.107 * [misc]backup-simplify: Simplify (- 0) into 0 1540341232.107 * [misc]backup-simplify: Simplify 0 into 0 1540341232.109 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 1540341232.110 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1540341232.112 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 1540341232.112 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1540341232.114 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sqrt 2) (pow PI 2)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341232.116 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (* (sqrt 2) (pow PI 2))))) into 0 1540341232.116 * [misc]backup-simplify: Simplify (- 0) into 0 1540341232.116 * [misc]backup-simplify: Simplify 0 into 0 1540341232.118 * [misc]backup-simplify: Simplify (* (- (* +nan.0 (* (sqrt 2) PI))) (* (/ 1 k) n)) into (* +nan.0 (/ (* (sqrt 2) (* n PI)) k)) 1540341232.118 * [misc]backup-simplify: Simplify (/ (sqrt (* (* 2 (/ 1 n)) PI)) (sqrt (/ 1 k))) into (* (sqrt 2) (sqrt (/ (* PI k) n))) 1540341232.118 * [misc]approximate: Taking taylor expansion of (* (sqrt 2) (sqrt (/ (* PI k) n))) in (n k) around 0 1540341232.118 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (/ (* PI k) n))) in k 1540341232.118 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1540341232.118 * [misc]taylor: Taking taylor expansion of 2 in k 1540341232.118 * [misc]backup-simplify: Simplify 2 into 2 1540341232.118 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540341232.118 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540341232.119 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* PI k) n)) in k 1540341232.119 * [misc]taylor: Taking taylor expansion of (/ (* PI k) n) in k 1540341232.119 * [misc]taylor: Taking taylor expansion of (* PI k) in k 1540341232.119 * [misc]taylor: Taking taylor expansion of PI in k 1540341232.119 * [misc]backup-simplify: Simplify PI into PI 1540341232.119 * [misc]taylor: Taking taylor expansion of k in k 1540341232.119 * [misc]backup-simplify: Simplify 0 into 0 1540341232.119 * [misc]backup-simplify: Simplify 1 into 1 1540341232.119 * [misc]taylor: Taking taylor expansion of n in k 1540341232.119 * [misc]backup-simplify: Simplify n into n 1540341232.119 * [misc]backup-simplify: Simplify (* PI 0) into 0 1540341232.120 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1540341232.120 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1540341232.120 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540341232.120 * [misc]backup-simplify: Simplify (/ (/ PI n) (* 2 (sqrt 0))) into (* +nan.0 (/ PI n)) 1540341232.120 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (/ (* PI k) n))) in n 1540341232.120 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540341232.120 * [misc]taylor: Taking taylor expansion of 2 in n 1540341232.120 * [misc]backup-simplify: Simplify 2 into 2 1540341232.121 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540341232.121 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540341232.121 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* PI k) n)) in n 1540341232.121 * [misc]taylor: Taking taylor expansion of (/ (* PI k) n) in n 1540341232.121 * [misc]taylor: Taking taylor expansion of (* PI k) in n 1540341232.121 * [misc]taylor: Taking taylor expansion of PI in n 1540341232.121 * [misc]backup-simplify: Simplify PI into PI 1540341232.121 * [misc]taylor: Taking taylor expansion of k in n 1540341232.121 * [misc]backup-simplify: Simplify k into k 1540341232.121 * [misc]taylor: Taking taylor expansion of n in n 1540341232.121 * [misc]backup-simplify: Simplify 0 into 0 1540341232.121 * [misc]backup-simplify: Simplify 1 into 1 1540341232.121 * [misc]backup-simplify: Simplify (* PI k) into (* PI k) 1540341232.121 * [misc]backup-simplify: Simplify (/ (* PI k) 1) into (* PI k) 1540341232.121 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540341232.122 * [misc]backup-simplify: Simplify (/ (* PI k) (* 2 (sqrt 0))) into (* +nan.0 (* PI k)) 1540341232.122 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (/ (* PI k) n))) in n 1540341232.122 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540341232.122 * [misc]taylor: Taking taylor expansion of 2 in n 1540341232.122 * [misc]backup-simplify: Simplify 2 into 2 1540341232.122 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540341232.122 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540341232.122 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* PI k) n)) in n 1540341232.122 * [misc]taylor: Taking taylor expansion of (/ (* PI k) n) in n 1540341232.122 * [misc]taylor: Taking taylor expansion of (* PI k) in n 1540341232.122 * [misc]taylor: Taking taylor expansion of PI in n 1540341232.122 * [misc]backup-simplify: Simplify PI into PI 1540341232.122 * [misc]taylor: Taking taylor expansion of k in n 1540341232.122 * [misc]backup-simplify: Simplify k into k 1540341232.122 * [misc]taylor: Taking taylor expansion of n in n 1540341232.122 * [misc]backup-simplify: Simplify 0 into 0 1540341232.122 * [misc]backup-simplify: Simplify 1 into 1 1540341232.122 * [misc]backup-simplify: Simplify (* PI k) into (* PI k) 1540341232.123 * [misc]backup-simplify: Simplify (/ (* PI k) 1) into (* PI k) 1540341232.123 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540341232.123 * [misc]backup-simplify: Simplify (/ (* PI k) (* 2 (sqrt 0))) into (* +nan.0 (* PI k)) 1540341232.123 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1540341232.123 * [misc]taylor: Taking taylor expansion of 0 in k 1540341232.123 * [misc]backup-simplify: Simplify 0 into 0 1540341232.123 * [misc]backup-simplify: Simplify 0 into 0 1540341232.124 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (* PI k))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI k)))) 1540341232.124 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (* PI k)))) in k 1540341232.124 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* PI k))) in k 1540341232.124 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1540341232.124 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540341232.124 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* PI k)) in k 1540341232.124 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1540341232.124 * [misc]taylor: Taking taylor expansion of 2 in k 1540341232.124 * [misc]backup-simplify: Simplify 2 into 2 1540341232.124 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540341232.124 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540341232.124 * [misc]taylor: Taking taylor expansion of (* PI k) in k 1540341232.124 * [misc]taylor: Taking taylor expansion of PI in k 1540341232.124 * [misc]backup-simplify: Simplify PI into PI 1540341232.125 * [misc]taylor: Taking taylor expansion of k in k 1540341232.125 * [misc]backup-simplify: Simplify 0 into 0 1540341232.125 * [misc]backup-simplify: Simplify 1 into 1 1540341232.125 * [misc]backup-simplify: Simplify (* PI 0) into 0 1540341232.125 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1540341232.125 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540341232.125 * [misc]backup-simplify: Simplify (- 0) into 0 1540341232.125 * [misc]backup-simplify: Simplify 0 into 0 1540341232.125 * [misc]backup-simplify: Simplify 0 into 0 1540341232.126 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 k)) into 0 1540341232.126 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)))) into 0 1540341232.127 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (* PI k)) 2) (+)) (* 2 0)) into (* +nan.0 (* (pow PI 2) (pow k 2))) 1540341232.128 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1540341232.129 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (* (pow PI 2) (pow k 2))))) 1540341232.129 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (* (pow PI 2) (pow k 2))))) in k 1540341232.129 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* (pow PI 2) (pow k 2)))) in k 1540341232.129 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1540341232.129 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540341232.129 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 2) (pow k 2))) in k 1540341232.129 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1540341232.129 * [misc]taylor: Taking taylor expansion of 2 in k 1540341232.129 * [misc]backup-simplify: Simplify 2 into 2 1540341232.129 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540341232.129 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540341232.129 * [misc]taylor: Taking taylor expansion of (* (pow PI 2) (pow k 2)) in k 1540341232.130 * [misc]taylor: Taking taylor expansion of (pow PI 2) in k 1540341232.130 * [misc]taylor: Taking taylor expansion of PI in k 1540341232.130 * [misc]backup-simplify: Simplify PI into PI 1540341232.130 * [misc]taylor: Taking taylor expansion of (pow k 2) in k 1540341232.130 * [misc]taylor: Taking taylor expansion of k in k 1540341232.130 * [misc]backup-simplify: Simplify 0 into 0 1540341232.130 * [misc]backup-simplify: Simplify 1 into 1 1540341232.130 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1540341232.131 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) PI) (* 0 0)) into (* (sqrt 2) PI) 1540341232.132 * [misc]backup-simplify: Simplify (+ (* +nan.0 (* (sqrt 2) PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1540341232.134 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1540341232.135 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1540341232.135 * [misc]backup-simplify: Simplify 0 into 0 1540341232.135 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 k))) into 0 1540341232.136 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341232.137 * [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))) 1540341232.137 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1540341232.138 * [misc]backup-simplify: Simplify (+ (* (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 (* (sqrt 2) (* (pow PI 3) (pow k 3))))) 1540341232.138 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (* (pow PI 3) (pow k 3))))) in k 1540341232.138 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* (pow PI 3) (pow k 3)))) in k 1540341232.138 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1540341232.138 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540341232.138 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 3) (pow k 3))) in k 1540341232.138 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1540341232.138 * [misc]taylor: Taking taylor expansion of 2 in k 1540341232.138 * [misc]backup-simplify: Simplify 2 into 2 1540341232.139 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540341232.139 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540341232.139 * [misc]taylor: Taking taylor expansion of (* (pow PI 3) (pow k 3)) in k 1540341232.139 * [misc]taylor: Taking taylor expansion of (pow PI 3) in k 1540341232.139 * [misc]taylor: Taking taylor expansion of PI in k 1540341232.139 * [misc]backup-simplify: Simplify PI into PI 1540341232.139 * [misc]taylor: Taking taylor expansion of (pow k 3) in k 1540341232.139 * [misc]taylor: Taking taylor expansion of k in k 1540341232.139 * [misc]backup-simplify: Simplify 0 into 0 1540341232.139 * [misc]backup-simplify: Simplify 1 into 1 1540341232.140 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 1540341232.141 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1540341232.142 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 PI) (* 0 0))) into 0 1540341232.144 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 (* (sqrt 2) PI)) (* 0 0))) into 0 1540341232.144 * [misc]backup-simplify: Simplify (- 0) into 0 1540341232.144 * [misc]backup-simplify: Simplify 0 into 0 1540341232.144 * [misc]backup-simplify: Simplify 0 into 0 1540341232.145 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1540341232.145 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341232.146 * [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))) 1540341232.148 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1540341232.150 * [misc]backup-simplify: Simplify (+ (* (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 (* (sqrt 2) (* (pow PI 4) (pow k 4))))) 1540341232.150 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (* (pow PI 4) (pow k 4))))) in k 1540341232.150 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* (pow PI 4) (pow k 4)))) in k 1540341232.150 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1540341232.150 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540341232.150 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 4) (pow k 4))) in k 1540341232.150 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1540341232.150 * [misc]taylor: Taking taylor expansion of 2 in k 1540341232.150 * [misc]backup-simplify: Simplify 2 into 2 1540341232.150 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540341232.150 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540341232.151 * [misc]taylor: Taking taylor expansion of (* (pow PI 4) (pow k 4)) in k 1540341232.151 * [misc]taylor: Taking taylor expansion of (pow PI 4) in k 1540341232.151 * [misc]taylor: Taking taylor expansion of PI in k 1540341232.151 * [misc]backup-simplify: Simplify PI into PI 1540341232.151 * [misc]taylor: Taking taylor expansion of (pow k 4) in k 1540341232.151 * [misc]taylor: Taking taylor expansion of k in k 1540341232.151 * [misc]backup-simplify: Simplify 0 into 0 1540341232.151 * [misc]backup-simplify: Simplify 1 into 1 1540341232.151 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1540341232.151 * [misc]backup-simplify: Simplify (* 1 1) into 1 1540341232.152 * [misc]backup-simplify: Simplify (* (pow PI 2) 1) into (pow PI 2) 1540341232.152 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2)) 1540341232.153 * [misc]backup-simplify: Simplify (* +nan.0 (* (sqrt 2) (pow PI 2))) into (* +nan.0 (* (sqrt 2) (pow PI 2))) 1540341232.155 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1540341232.156 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1540341232.157 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1540341232.157 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1540341232.159 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1540341232.160 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 (* (sqrt 2) PI)) (* 0 0)))) into 0 1540341232.160 * [misc]backup-simplify: Simplify (- 0) into 0 1540341232.160 * [misc]backup-simplify: Simplify 0 into 0 1540341232.160 * [misc]backup-simplify: Simplify 0 into 0 1540341232.161 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 k))))) into 0 1540341232.161 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341232.162 * [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))) 1540341232.163 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1540341232.164 * [misc]backup-simplify: Simplify (+ (* (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 (* (sqrt 2) (* (pow PI 5) (pow k 5))))) 1540341232.164 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (* (pow PI 5) (pow k 5))))) in k 1540341232.164 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* (pow PI 5) (pow k 5)))) in k 1540341232.164 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1540341232.164 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540341232.164 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 5) (pow k 5))) in k 1540341232.164 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1540341232.164 * [misc]taylor: Taking taylor expansion of 2 in k 1540341232.164 * [misc]backup-simplify: Simplify 2 into 2 1540341232.164 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540341232.164 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540341232.164 * [misc]taylor: Taking taylor expansion of (* (pow PI 5) (pow k 5)) in k 1540341232.164 * [misc]taylor: Taking taylor expansion of (pow PI 5) in k 1540341232.164 * [misc]taylor: Taking taylor expansion of PI in k 1540341232.164 * [misc]backup-simplify: Simplify PI into PI 1540341232.164 * [misc]taylor: Taking taylor expansion of (pow k 5) in k 1540341232.164 * [misc]taylor: Taking taylor expansion of k in k 1540341232.164 * [misc]backup-simplify: Simplify 0 into 0 1540341232.164 * [misc]backup-simplify: Simplify 1 into 1 1540341232.164 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1540341232.165 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 1540341232.165 * [misc]backup-simplify: Simplify (+ (* (pow PI 2) 0) (* 0 1)) into 0 1540341232.166 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 2))) into 0 1540341232.167 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2) (pow PI 2)))) into 0 1540341232.167 * [misc]backup-simplify: Simplify (- 0) into 0 1540341232.167 * [misc]backup-simplify: Simplify 0 into 0 1540341232.168 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1540341232.169 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1540341232.170 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1540341232.171 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (* (sqrt 2) PI)) (* 0 0))))) into 0 1540341232.172 * [misc]backup-simplify: Simplify (- 0) into 0 1540341232.172 * [misc]backup-simplify: Simplify 0 into 0 1540341232.172 * [misc]backup-simplify: Simplify 0 into 0 1540341232.172 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))))) into 0 1540341232.173 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341232.174 * [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))) 1540341232.175 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1540341232.176 * [misc]backup-simplify: Simplify (+ (* (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 (* (sqrt 2) (* (pow PI 6) (pow k 6))))) 1540341232.176 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (* (pow PI 6) (pow k 6))))) in k 1540341232.176 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* (pow PI 6) (pow k 6)))) in k 1540341232.176 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1540341232.176 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540341232.176 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 6) (pow k 6))) in k 1540341232.176 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1540341232.176 * [misc]taylor: Taking taylor expansion of 2 in k 1540341232.176 * [misc]backup-simplify: Simplify 2 into 2 1540341232.177 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540341232.177 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540341232.177 * [misc]taylor: Taking taylor expansion of (* (pow PI 6) (pow k 6)) in k 1540341232.177 * [misc]taylor: Taking taylor expansion of (pow PI 6) in k 1540341232.177 * [misc]taylor: Taking taylor expansion of PI in k 1540341232.177 * [misc]backup-simplify: Simplify PI into PI 1540341232.177 * [misc]taylor: Taking taylor expansion of (pow k 6) in k 1540341232.177 * [misc]taylor: Taking taylor expansion of k in k 1540341232.177 * [misc]backup-simplify: Simplify 0 into 0 1540341232.177 * [misc]backup-simplify: Simplify 1 into 1 1540341232.177 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1540341232.177 * [misc]backup-simplify: Simplify (* PI (pow PI 2)) into (pow PI 3) 1540341232.177 * [misc]backup-simplify: Simplify (* 1 1) into 1 1540341232.178 * [misc]backup-simplify: Simplify (* 1 1) into 1 1540341232.178 * [misc]backup-simplify: Simplify (* (pow PI 3) 1) into (pow PI 3) 1540341232.178 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 3)) into (* (sqrt 2) (pow PI 3)) 1540341232.179 * [misc]backup-simplify: Simplify (* +nan.0 (* (sqrt 2) (pow PI 3))) into (* +nan.0 (* (sqrt 2) (pow PI 3))) 1540341232.181 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) 1540341232.182 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) 1540341232.185 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) (* (pow (/ 1 k) 3) (pow (/ 1 n) 2))) (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (* (pow (/ 1 k) 2) (/ 1 n))) (* (- (* +nan.0 (* (sqrt 2) PI))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (* (pow n 2) (pow k 3)))) (- (+ (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (* n (pow k 2)))) (- (* +nan.0 (/ (* (sqrt 2) PI) k))))))) 1540341232.185 * [misc]backup-simplify: Simplify (/ (sqrt (* (* 2 (/ 1 (- n))) PI)) (sqrt (/ 1 (- k)))) into (/ (sqrt (* -2 (/ PI n))) (sqrt (/ -1 k))) 1540341232.185 * [misc]approximate: Taking taylor expansion of (/ (sqrt (* -2 (/ PI n))) (sqrt (/ -1 k))) in (n k) around 0 1540341232.185 * [misc]taylor: Taking taylor expansion of (/ (sqrt (* -2 (/ PI n))) (sqrt (/ -1 k))) in k 1540341232.185 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in k 1540341232.185 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1540341232.185 * [misc]taylor: Taking taylor expansion of -2 in k 1540341232.185 * [misc]backup-simplify: Simplify -2 into -2 1540341232.185 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1540341232.185 * [misc]taylor: Taking taylor expansion of PI in k 1540341232.185 * [misc]backup-simplify: Simplify PI into PI 1540341232.185 * [misc]taylor: Taking taylor expansion of n in k 1540341232.185 * [misc]backup-simplify: Simplify n into n 1540341232.185 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1540341232.185 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1540341232.185 * [misc]backup-simplify: Simplify (sqrt (* -2 (/ PI n))) into (sqrt (* -2 (/ PI n))) 1540341232.185 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 1540341232.185 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (/ PI n))) into 0 1540341232.185 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* -2 (/ PI n))))) into 0 1540341232.185 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540341232.185 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540341232.185 * [misc]taylor: Taking taylor expansion of -1 in k 1540341232.185 * [misc]backup-simplify: Simplify -1 into -1 1540341232.185 * [misc]taylor: Taking taylor expansion of k in k 1540341232.185 * [misc]backup-simplify: Simplify 0 into 0 1540341232.185 * [misc]backup-simplify: Simplify 1 into 1 1540341232.186 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540341232.186 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540341232.186 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540341232.186 * [misc]backup-simplify: Simplify (/ (sqrt (* -2 (/ PI n))) +nan.0) into (* +nan.0 (sqrt (* -2 (/ PI n)))) 1540341232.186 * [misc]taylor: Taking taylor expansion of (/ (sqrt (* -2 (/ PI n))) (sqrt (/ -1 k))) in n 1540341232.186 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1540341232.186 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540341232.186 * [misc]taylor: Taking taylor expansion of -2 in n 1540341232.186 * [misc]backup-simplify: Simplify -2 into -2 1540341232.186 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540341232.186 * [misc]taylor: Taking taylor expansion of PI in n 1540341232.186 * [misc]backup-simplify: Simplify PI into PI 1540341232.186 * [misc]taylor: Taking taylor expansion of n in n 1540341232.186 * [misc]backup-simplify: Simplify 0 into 0 1540341232.186 * [misc]backup-simplify: Simplify 1 into 1 1540341232.186 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540341232.187 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540341232.187 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540341232.187 * [misc]backup-simplify: Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1540341232.187 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1540341232.187 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1540341232.187 * [misc]taylor: Taking taylor expansion of -1 in n 1540341232.187 * [misc]backup-simplify: Simplify -1 into -1 1540341232.187 * [misc]taylor: Taking taylor expansion of k in n 1540341232.187 * [misc]backup-simplify: Simplify k into k 1540341232.187 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1540341232.188 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1540341232.188 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1540341232.188 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1540341232.188 * [misc]backup-simplify: Simplify (/ (* +nan.0 PI) (sqrt (/ -1 k))) into (* +nan.0 (/ PI (sqrt (/ -1 k)))) 1540341232.188 * [misc]taylor: Taking taylor expansion of (/ (sqrt (* -2 (/ PI n))) (sqrt (/ -1 k))) in n 1540341232.188 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1540341232.188 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540341232.188 * [misc]taylor: Taking taylor expansion of -2 in n 1540341232.188 * [misc]backup-simplify: Simplify -2 into -2 1540341232.188 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540341232.188 * [misc]taylor: Taking taylor expansion of PI in n 1540341232.188 * [misc]backup-simplify: Simplify PI into PI 1540341232.188 * [misc]taylor: Taking taylor expansion of n in n 1540341232.188 * [misc]backup-simplify: Simplify 0 into 0 1540341232.188 * [misc]backup-simplify: Simplify 1 into 1 1540341232.189 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540341232.189 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540341232.189 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540341232.190 * [misc]backup-simplify: Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1540341232.190 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1540341232.190 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1540341232.190 * [misc]taylor: Taking taylor expansion of -1 in n 1540341232.190 * [misc]backup-simplify: Simplify -1 into -1 1540341232.190 * [misc]taylor: Taking taylor expansion of k in n 1540341232.190 * [misc]backup-simplify: Simplify k into k 1540341232.190 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1540341232.190 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1540341232.190 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1540341232.190 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1540341232.190 * [misc]backup-simplify: Simplify (/ (* +nan.0 PI) (sqrt (/ -1 k))) into (* +nan.0 (/ PI (sqrt (/ -1 k)))) 1540341232.191 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ PI (sqrt (/ -1 k)))) in k 1540341232.191 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1540341232.191 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540341232.191 * [misc]taylor: Taking taylor expansion of (/ PI (sqrt (/ -1 k))) in k 1540341232.191 * [misc]taylor: Taking taylor expansion of PI in k 1540341232.191 * [misc]backup-simplify: Simplify PI into PI 1540341232.191 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540341232.191 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540341232.191 * [misc]taylor: Taking taylor expansion of -1 in k 1540341232.191 * [misc]backup-simplify: Simplify -1 into -1 1540341232.191 * [misc]taylor: Taking taylor expansion of k in k 1540341232.191 * [misc]backup-simplify: Simplify 0 into 0 1540341232.191 * [misc]backup-simplify: Simplify 1 into 1 1540341232.191 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540341232.191 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540341232.192 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540341232.192 * [misc]backup-simplify: Simplify (/ PI +nan.0) into (* +nan.0 PI) 1540341232.192 * [misc]backup-simplify: Simplify (* +nan.0 (* +nan.0 PI)) into (* +nan.0 PI) 1540341232.193 * [misc]backup-simplify: Simplify (* +nan.0 PI) into (* +nan.0 PI) 1540341232.194 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540341232.194 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1540341232.196 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1540341232.197 * [misc]backup-simplify: Simplify (- (/ (* +nan.0 (pow PI 2)) (sqrt (/ -1 k))) (+ (* (* +nan.0 (/ PI (sqrt (/ -1 k)))) (/ 0 (sqrt (/ -1 k)))))) into (- (* +nan.0 (/ (pow PI 2) (sqrt (/ -1 k))))) 1540341232.197 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (pow PI 2) (sqrt (/ -1 k))))) in k 1540341232.197 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (pow PI 2) (sqrt (/ -1 k)))) in k 1540341232.197 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1540341232.197 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540341232.197 * [misc]taylor: Taking taylor expansion of (/ (pow PI 2) (sqrt (/ -1 k))) in k 1540341232.197 * [misc]taylor: Taking taylor expansion of (pow PI 2) in k 1540341232.197 * [misc]taylor: Taking taylor expansion of PI in k 1540341232.197 * [misc]backup-simplify: Simplify PI into PI 1540341232.197 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540341232.197 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540341232.197 * [misc]taylor: Taking taylor expansion of -1 in k 1540341232.197 * [misc]backup-simplify: Simplify -1 into -1 1540341232.197 * [misc]taylor: Taking taylor expansion of k in k 1540341232.197 * [misc]backup-simplify: Simplify 0 into 0 1540341232.197 * [misc]backup-simplify: Simplify 1 into 1 1540341232.197 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540341232.197 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540341232.198 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540341232.198 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1540341232.199 * [misc]backup-simplify: Simplify (/ (pow PI 2) +nan.0) into (* +nan.0 (pow PI 2)) 1540341232.200 * [misc]backup-simplify: Simplify (* +nan.0 (* +nan.0 (pow PI 2))) into (* +nan.0 (pow PI 2)) 1540341232.201 * [misc]backup-simplify: Simplify (- (* +nan.0 (pow PI 2))) into (- (* +nan.0 (pow PI 2))) 1540341232.202 * [misc]backup-simplify: Simplify (- (* +nan.0 (pow PI 2))) into (- (* +nan.0 (pow PI 2))) 1540341232.202 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1540341232.203 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540341232.204 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 PI) (/ +nan.0 +nan.0)))) into (- (* +nan.0 PI)) 1540341232.206 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 PI))) (* 0 (* +nan.0 PI))) into (- (* +nan.0 PI)) 1540341232.206 * [misc]backup-simplify: Simplify (- (* +nan.0 PI)) into (- (* +nan.0 PI)) 1540341232.208 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 PI)) (* (/ 1 (- k)) 1)) (+ (* (- (* +nan.0 (pow PI 2))) (* 1 (/ 1 (- n)))) (* +nan.0 PI))) into (- (+ (* +nan.0 PI) (- (+ (* +nan.0 (/ PI k)) (- (* +nan.0 (/ (pow PI 2) n))))))) 1540341232.208 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 1) 1540341232.209 * [misc]backup-simplify: Simplify (* (* 2 n) PI) into (* 2 (* n PI)) 1540341232.209 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1540341232.209 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540341232.209 * [misc]taylor: Taking taylor expansion of 2 in n 1540341232.209 * [misc]backup-simplify: Simplify 2 into 2 1540341232.209 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540341232.209 * [misc]taylor: Taking taylor expansion of n in n 1540341232.209 * [misc]backup-simplify: Simplify 0 into 0 1540341232.209 * [misc]backup-simplify: Simplify 1 into 1 1540341232.209 * [misc]taylor: Taking taylor expansion of PI in n 1540341232.209 * [misc]backup-simplify: Simplify PI into PI 1540341232.209 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540341232.209 * [misc]taylor: Taking taylor expansion of 2 in n 1540341232.209 * [misc]backup-simplify: Simplify 2 into 2 1540341232.209 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540341232.209 * [misc]taylor: Taking taylor expansion of n in n 1540341232.209 * [misc]backup-simplify: Simplify 0 into 0 1540341232.209 * [misc]backup-simplify: Simplify 1 into 1 1540341232.209 * [misc]taylor: Taking taylor expansion of PI in n 1540341232.209 * [misc]backup-simplify: Simplify PI into PI 1540341232.209 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540341232.210 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540341232.210 * [misc]backup-simplify: Simplify 0 into 0 1540341232.210 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540341232.211 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1540341232.211 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540341232.212 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1540341232.213 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1540341232.213 * [misc]backup-simplify: Simplify 0 into 0 1540341232.215 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1540341232.216 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1540341232.217 * [misc]backup-simplify: Simplify 0 into 0 1540341232.219 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1540341232.221 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1540341232.221 * [misc]backup-simplify: Simplify 0 into 0 1540341232.224 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1540341232.227 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1540341232.227 * [misc]backup-simplify: Simplify 0 into 0 1540341232.229 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1540341232.231 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1540341232.231 * [misc]backup-simplify: Simplify 0 into 0 1540341232.233 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1540341232.236 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1540341232.236 * [misc]backup-simplify: Simplify 0 into 0 1540341232.236 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1540341232.236 * [misc]backup-simplify: Simplify (* (* 2 (/ 1 n)) PI) into (* 2 (/ PI n)) 1540341232.236 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1540341232.236 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540341232.236 * [misc]taylor: Taking taylor expansion of 2 in n 1540341232.236 * [misc]backup-simplify: Simplify 2 into 2 1540341232.236 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540341232.236 * [misc]taylor: Taking taylor expansion of PI in n 1540341232.236 * [misc]backup-simplify: Simplify PI into PI 1540341232.236 * [misc]taylor: Taking taylor expansion of n in n 1540341232.236 * [misc]backup-simplify: Simplify 0 into 0 1540341232.236 * [misc]backup-simplify: Simplify 1 into 1 1540341232.237 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540341232.237 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540341232.237 * [misc]taylor: Taking taylor expansion of 2 in n 1540341232.237 * [misc]backup-simplify: Simplify 2 into 2 1540341232.237 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540341232.237 * [misc]taylor: Taking taylor expansion of PI in n 1540341232.237 * [misc]backup-simplify: Simplify PI into PI 1540341232.237 * [misc]taylor: Taking taylor expansion of n in n 1540341232.237 * [misc]backup-simplify: Simplify 0 into 0 1540341232.237 * [misc]backup-simplify: Simplify 1 into 1 1540341232.237 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540341232.237 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540341232.237 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540341232.238 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540341232.239 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1540341232.239 * [misc]backup-simplify: Simplify 0 into 0 1540341232.239 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341232.240 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1540341232.240 * [misc]backup-simplify: Simplify 0 into 0 1540341232.241 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341232.242 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1540341232.242 * [misc]backup-simplify: Simplify 0 into 0 1540341232.243 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341232.245 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1540341232.245 * [misc]backup-simplify: Simplify 0 into 0 1540341232.246 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341232.247 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1540341232.248 * [misc]backup-simplify: Simplify 0 into 0 1540341232.249 * [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 1540341232.251 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1540341232.251 * [misc]backup-simplify: Simplify 0 into 0 1540341232.252 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1540341232.252 * [misc]backup-simplify: Simplify (* (* 2 (/ 1 (- n))) PI) into (* -2 (/ PI n)) 1540341232.252 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1540341232.252 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540341232.252 * [misc]taylor: Taking taylor expansion of -2 in n 1540341232.252 * [misc]backup-simplify: Simplify -2 into -2 1540341232.252 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540341232.252 * [misc]taylor: Taking taylor expansion of PI in n 1540341232.252 * [misc]backup-simplify: Simplify PI into PI 1540341232.252 * [misc]taylor: Taking taylor expansion of n in n 1540341232.252 * [misc]backup-simplify: Simplify 0 into 0 1540341232.252 * [misc]backup-simplify: Simplify 1 into 1 1540341232.252 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540341232.252 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540341232.252 * [misc]taylor: Taking taylor expansion of -2 in n 1540341232.252 * [misc]backup-simplify: Simplify -2 into -2 1540341232.252 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540341232.252 * [misc]taylor: Taking taylor expansion of PI in n 1540341232.252 * [misc]backup-simplify: Simplify PI into PI 1540341232.252 * [misc]taylor: Taking taylor expansion of n in n 1540341232.252 * [misc]backup-simplify: Simplify 0 into 0 1540341232.252 * [misc]backup-simplify: Simplify 1 into 1 1540341232.252 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540341232.253 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540341232.253 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540341232.253 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540341232.254 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1540341232.254 * [misc]backup-simplify: Simplify 0 into 0 1540341232.255 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341232.255 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1540341232.255 * [misc]backup-simplify: Simplify 0 into 0 1540341232.256 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341232.257 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1540341232.257 * [misc]backup-simplify: Simplify 0 into 0 1540341232.259 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341232.260 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1540341232.260 * [misc]backup-simplify: Simplify 0 into 0 1540341232.261 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341232.263 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1540341232.263 * [misc]backup-simplify: Simplify 0 into 0 1540341232.264 * [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 1540341232.266 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1540341232.266 * [misc]backup-simplify: Simplify 0 into 0 1540341232.267 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1540341232.267 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1) 1540341232.267 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1540341232.267 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1540341232.267 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540341232.267 * [misc]taylor: Taking taylor expansion of 2 in n 1540341232.267 * [misc]backup-simplify: Simplify 2 into 2 1540341232.267 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540341232.267 * [misc]taylor: Taking taylor expansion of n in n 1540341232.267 * [misc]backup-simplify: Simplify 0 into 0 1540341232.267 * [misc]backup-simplify: Simplify 1 into 1 1540341232.267 * [misc]taylor: Taking taylor expansion of PI in n 1540341232.267 * [misc]backup-simplify: Simplify PI into PI 1540341232.267 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540341232.267 * [misc]taylor: Taking taylor expansion of 2 in n 1540341232.267 * [misc]backup-simplify: Simplify 2 into 2 1540341232.267 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540341232.267 * [misc]taylor: Taking taylor expansion of n in n 1540341232.267 * [misc]backup-simplify: Simplify 0 into 0 1540341232.267 * [misc]backup-simplify: Simplify 1 into 1 1540341232.267 * [misc]taylor: Taking taylor expansion of PI in n 1540341232.267 * [misc]backup-simplify: Simplify PI into PI 1540341232.267 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540341232.267 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540341232.267 * [misc]backup-simplify: Simplify 0 into 0 1540341232.268 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540341232.268 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1540341232.268 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540341232.269 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1540341232.270 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1540341232.270 * [misc]backup-simplify: Simplify 0 into 0 1540341232.271 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1540341232.272 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1540341232.272 * [misc]backup-simplify: Simplify 0 into 0 1540341232.274 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1540341232.277 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1540341232.277 * [misc]backup-simplify: Simplify 0 into 0 1540341232.279 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1540341232.282 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1540341232.282 * [misc]backup-simplify: Simplify 0 into 0 1540341232.285 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1540341232.289 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1540341232.289 * [misc]backup-simplify: Simplify 0 into 0 1540341232.293 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1540341232.297 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1540341232.297 * [misc]backup-simplify: Simplify 0 into 0 1540341232.298 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1540341232.298 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1540341232.298 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1540341232.298 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540341232.298 * [misc]taylor: Taking taylor expansion of 2 in n 1540341232.298 * [misc]backup-simplify: Simplify 2 into 2 1540341232.298 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540341232.298 * [misc]taylor: Taking taylor expansion of PI in n 1540341232.298 * [misc]backup-simplify: Simplify PI into PI 1540341232.298 * [misc]taylor: Taking taylor expansion of n in n 1540341232.298 * [misc]backup-simplify: Simplify 0 into 0 1540341232.298 * [misc]backup-simplify: Simplify 1 into 1 1540341232.298 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540341232.299 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540341232.299 * [misc]taylor: Taking taylor expansion of 2 in n 1540341232.299 * [misc]backup-simplify: Simplify 2 into 2 1540341232.299 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540341232.299 * [misc]taylor: Taking taylor expansion of PI in n 1540341232.299 * [misc]backup-simplify: Simplify PI into PI 1540341232.299 * [misc]taylor: Taking taylor expansion of n in n 1540341232.299 * [misc]backup-simplify: Simplify 0 into 0 1540341232.299 * [misc]backup-simplify: Simplify 1 into 1 1540341232.299 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540341232.300 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540341232.300 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540341232.300 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540341232.301 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1540341232.301 * [misc]backup-simplify: Simplify 0 into 0 1540341232.302 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341232.302 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1540341232.302 * [misc]backup-simplify: Simplify 0 into 0 1540341232.304 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341232.305 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1540341232.305 * [misc]backup-simplify: Simplify 0 into 0 1540341232.306 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341232.307 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1540341232.307 * [misc]backup-simplify: Simplify 0 into 0 1540341232.309 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341232.310 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1540341232.311 * [misc]backup-simplify: Simplify 0 into 0 1540341232.312 * [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 1540341232.314 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1540341232.314 * [misc]backup-simplify: Simplify 0 into 0 1540341232.314 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1540341232.314 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1540341232.314 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1540341232.314 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540341232.314 * [misc]taylor: Taking taylor expansion of -2 in n 1540341232.314 * [misc]backup-simplify: Simplify -2 into -2 1540341232.314 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540341232.314 * [misc]taylor: Taking taylor expansion of PI in n 1540341232.314 * [misc]backup-simplify: Simplify PI into PI 1540341232.315 * [misc]taylor: Taking taylor expansion of n in n 1540341232.315 * [misc]backup-simplify: Simplify 0 into 0 1540341232.315 * [misc]backup-simplify: Simplify 1 into 1 1540341232.315 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540341232.315 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540341232.315 * [misc]taylor: Taking taylor expansion of -2 in n 1540341232.315 * [misc]backup-simplify: Simplify -2 into -2 1540341232.315 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540341232.315 * [misc]taylor: Taking taylor expansion of PI in n 1540341232.315 * [misc]backup-simplify: Simplify PI into PI 1540341232.315 * [misc]taylor: Taking taylor expansion of n in n 1540341232.315 * [misc]backup-simplify: Simplify 0 into 0 1540341232.315 * [misc]backup-simplify: Simplify 1 into 1 1540341232.315 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540341232.315 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540341232.316 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540341232.316 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540341232.317 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1540341232.317 * [misc]backup-simplify: Simplify 0 into 0 1540341232.317 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341232.318 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1540341232.318 * [misc]backup-simplify: Simplify 0 into 0 1540341232.319 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341232.320 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1540341232.320 * [misc]backup-simplify: Simplify 0 into 0 1540341232.321 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341232.322 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1540341232.323 * [misc]backup-simplify: Simplify 0 into 0 1540341232.324 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341232.325 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1540341232.325 * [misc]backup-simplify: Simplify 0 into 0 1540341232.327 * [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 1540341232.329 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1540341232.329 * [misc]backup-simplify: Simplify 0 into 0 1540341232.329 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1540341232.329 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1) 1540341232.329 * [misc]backup-simplify: Simplify (sqrt (* (* 2 n) PI)) into (* (sqrt 2) (sqrt (* n PI))) 1540341232.329 * [misc]approximate: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in (n) around 0 1540341232.329 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1540341232.329 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540341232.329 * [misc]taylor: Taking taylor expansion of 2 in n 1540341232.329 * [misc]backup-simplify: Simplify 2 into 2 1540341232.330 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540341232.330 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540341232.330 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1540341232.330 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540341232.330 * [misc]taylor: Taking taylor expansion of n in n 1540341232.330 * [misc]backup-simplify: Simplify 0 into 0 1540341232.330 * [misc]backup-simplify: Simplify 1 into 1 1540341232.330 * [misc]taylor: Taking taylor expansion of PI in n 1540341232.330 * [misc]backup-simplify: Simplify PI into PI 1540341232.330 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540341232.331 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540341232.331 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540341232.331 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540341232.331 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1540341232.331 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540341232.331 * [misc]taylor: Taking taylor expansion of 2 in n 1540341232.331 * [misc]backup-simplify: Simplify 2 into 2 1540341232.331 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540341232.331 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540341232.331 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1540341232.331 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540341232.331 * [misc]taylor: Taking taylor expansion of n in n 1540341232.331 * [misc]backup-simplify: Simplify 0 into 0 1540341232.331 * [misc]backup-simplify: Simplify 1 into 1 1540341232.331 * [misc]taylor: Taking taylor expansion of PI in n 1540341232.331 * [misc]backup-simplify: Simplify PI into PI 1540341232.332 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540341232.332 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540341232.332 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540341232.332 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540341232.333 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1540341232.333 * [misc]backup-simplify: Simplify 0 into 0 1540341232.333 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1540341232.334 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1540341232.335 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1540341232.335 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1540341232.336 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1540341232.338 * [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)))) 1540341232.338 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1540341232.339 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1540341232.341 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 PI) (* +nan.0 (pow PI 2)))))) (* 2 0)) into (* +nan.0 (pow PI 3)) 1540341232.341 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1540341232.344 * [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)))) 1540341232.344 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) 1540341232.347 * [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))))))))) 1540341232.347 * [misc]backup-simplify: Simplify (sqrt (* (* 2 (/ 1 n)) PI)) into (* (sqrt 2) (sqrt (/ PI n))) 1540341232.347 * [misc]approximate: Taking taylor expansion of (* (sqrt 2) (sqrt (/ PI n))) in (n) around 0 1540341232.347 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (/ PI n))) in n 1540341232.347 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540341232.347 * [misc]taylor: Taking taylor expansion of 2 in n 1540341232.347 * [misc]backup-simplify: Simplify 2 into 2 1540341232.347 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540341232.348 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540341232.348 * [misc]taylor: Taking taylor expansion of (sqrt (/ PI n)) in n 1540341232.348 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540341232.348 * [misc]taylor: Taking taylor expansion of PI in n 1540341232.348 * [misc]backup-simplify: Simplify PI into PI 1540341232.348 * [misc]taylor: Taking taylor expansion of n in n 1540341232.348 * [misc]backup-simplify: Simplify 0 into 0 1540341232.348 * [misc]backup-simplify: Simplify 1 into 1 1540341232.348 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540341232.348 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540341232.348 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540341232.348 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (/ PI n))) in n 1540341232.348 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540341232.348 * [misc]taylor: Taking taylor expansion of 2 in n 1540341232.348 * [misc]backup-simplify: Simplify 2 into 2 1540341232.349 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540341232.349 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540341232.349 * [misc]taylor: Taking taylor expansion of (sqrt (/ PI n)) in n 1540341232.349 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540341232.349 * [misc]taylor: Taking taylor expansion of PI in n 1540341232.349 * [misc]backup-simplify: Simplify PI into PI 1540341232.349 * [misc]taylor: Taking taylor expansion of n in n 1540341232.349 * [misc]backup-simplify: Simplify 0 into 0 1540341232.349 * [misc]backup-simplify: Simplify 1 into 1 1540341232.349 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540341232.349 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540341232.349 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540341232.350 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1540341232.350 * [misc]backup-simplify: Simplify 0 into 0 1540341232.351 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1540341232.351 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1540341232.352 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540341232.353 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1540341232.354 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1540341232.355 * [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)))) 1540341232.356 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1540341232.357 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341232.358 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 PI) (* +nan.0 (pow PI 2)))))) (* 2 0)) into (* +nan.0 (pow PI 3)) 1540341232.359 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1540341232.361 * [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)))) 1540341232.362 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) 1540341232.365 * [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))))))) 1540341232.365 * [misc]backup-simplify: Simplify (sqrt (* (* 2 (/ 1 (- n))) PI)) into (sqrt (* -2 (/ PI n))) 1540341232.365 * [misc]approximate: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in (n) around 0 1540341232.365 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1540341232.365 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540341232.365 * [misc]taylor: Taking taylor expansion of -2 in n 1540341232.365 * [misc]backup-simplify: Simplify -2 into -2 1540341232.365 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540341232.365 * [misc]taylor: Taking taylor expansion of PI in n 1540341232.365 * [misc]backup-simplify: Simplify PI into PI 1540341232.365 * [misc]taylor: Taking taylor expansion of n in n 1540341232.365 * [misc]backup-simplify: Simplify 0 into 0 1540341232.365 * [misc]backup-simplify: Simplify 1 into 1 1540341232.366 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540341232.366 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540341232.366 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540341232.367 * [misc]backup-simplify: Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1540341232.367 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1540341232.367 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540341232.367 * [misc]taylor: Taking taylor expansion of -2 in n 1540341232.367 * [misc]backup-simplify: Simplify -2 into -2 1540341232.367 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540341232.367 * [misc]taylor: Taking taylor expansion of PI in n 1540341232.367 * [misc]backup-simplify: Simplify PI into PI 1540341232.367 * [misc]taylor: Taking taylor expansion of n in n 1540341232.367 * [misc]backup-simplify: Simplify 0 into 0 1540341232.367 * [misc]backup-simplify: Simplify 1 into 1 1540341232.367 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540341232.368 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540341232.368 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540341232.369 * [misc]backup-simplify: Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1540341232.369 * [misc]backup-simplify: Simplify 0 into 0 1540341232.369 * [misc]backup-simplify: Simplify (* +nan.0 PI) into (* +nan.0 PI) 1540341232.370 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540341232.371 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1540341232.372 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1540341232.373 * [misc]backup-simplify: Simplify (* +nan.0 (pow PI 2)) into (* +nan.0 (pow PI 2)) 1540341232.374 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341232.375 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1540341232.378 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 PI) (* +nan.0 (pow PI 2)))))) (* 2 0)) into (* +nan.0 (pow PI 3)) 1540341232.378 * [misc]backup-simplify: Simplify (* +nan.0 (pow PI 3)) into (* +nan.0 (pow PI 3)) 1540341232.380 * [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))))))) 1540341232.380 * * * [misc]progress: simplifying candidates 1540341232.380 * * * * [misc]progress: [ 1 / 79 ] simplifiying candidate # 1540341232.380 * * * * [misc]progress: [ 2 / 79 ] simplifiying candidate # 1540341232.380 * * * * [misc]progress: [ 3 / 79 ] simplifiying candidate # 1540341232.380 * * * * [misc]progress: [ 4 / 79 ] simplifiying candidate # 1540341232.381 * [enter]simplify: Simplifying (- (log (sqrt (* (* 2 n) PI))) (log (sqrt k))) 1540341232.381 * * [misc]simplify: iters left: 6 (11 enodes) 1540341232.384 * * [misc]simplify: iters left: 5 (17 enodes) 1540341232.389 * * [misc]simplify: iters left: 4 (24 enodes) 1540341232.393 * * [misc]simplify: iters left: 3 (25 enodes) 1540341232.397 * [exit]simplify: Simplified to (- (log (sqrt (* (* PI n) 2))) (log (sqrt k))) 1540341232.397 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (exp (- (log (sqrt (* (* PI n) 2))) (log (sqrt k)))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341232.397 * * * * [misc]progress: [ 5 / 79 ] simplifiying candidate # 1540341232.397 * * * * [misc]progress: [ 6 / 79 ] simplifiying candidate # 1540341232.397 * * * * [misc]progress: [ 7 / 79 ] simplifiying candidate # 1540341232.397 * [enter]simplify: Simplifying (/ (* (* (sqrt (* (* 2 n) PI)) (sqrt (* (* 2 n) PI))) (sqrt (* (* 2 n) PI))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 1540341232.397 * * [misc]simplify: iters left: 6 (13 enodes) 1540341232.399 * * [misc]simplify: iters left: 5 (26 enodes) 1540341232.404 * * [misc]simplify: iters left: 4 (73 enodes) 1540341232.423 * * [misc]simplify: iters left: 3 (264 enodes) 1540341232.622 * [exit]simplify: Simplified to (* (sqrt (* (* PI 2) n)) (* (/ (* PI 2) (sqrt k)) (/ n k))) 1540341232.622 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (cbrt (* (sqrt (* (* PI 2) n)) (* (/ (* PI 2) (sqrt k)) (/ n k)))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341232.622 * * * * [misc]progress: [ 8 / 79 ] simplifiying candidate # 1540341232.622 * * * * [misc]progress: [ 9 / 79 ] simplifiying candidate # 1540341232.622 * * * * [misc]progress: [ 10 / 79 ] simplifiying candidate # 1540341232.622 * [enter]simplify: Simplifying (/ (* (* 2 n) PI) k) 1540341232.622 * * [misc]simplify: iters left: 6 (7 enodes) 1540341232.625 * * [misc]simplify: iters left: 5 (13 enodes) 1540341232.629 * * [misc]simplify: iters left: 4 (21 enodes) 1540341232.635 * * [misc]simplify: iters left: 3 (38 enodes) 1540341232.646 * * [misc]simplify: iters left: 2 (55 enodes) 1540341232.661 * * [misc]simplify: iters left: 1 (74 enodes) 1540341232.685 * [exit]simplify: Simplified to (* (/ n k) (* PI 2)) 1540341232.685 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (sqrt (* (/ n k) (* PI 2))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341232.685 * * * * [misc]progress: [ 11 / 79 ] simplifiying candidate # 1540341232.685 * * * * [misc]progress: [ 12 / 79 ] simplifiying candidate # 1540341232.685 * * * * [misc]progress: [ 13 / 79 ] simplifiying candidate # 1540341232.686 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540341232.686 * * [misc]simplify: iters left: 6 (13 enodes) 1540341232.690 * * [misc]simplify: iters left: 5 (23 enodes) 1540341232.697 * * [misc]simplify: iters left: 4 (38 enodes) 1540341232.707 * * [misc]simplify: iters left: 3 (42 enodes) 1540341232.718 * * [misc]simplify: iters left: 2 (45 enodes) 1540341232.731 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (* (* PI n) 2))) (cbrt (sqrt k))) (/ (cbrt (sqrt (* (* PI n) 2))) (cbrt (sqrt k)))) 1540341232.731 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (* (* (/ (cbrt (sqrt (* (* PI n) 2))) (cbrt (sqrt k))) (/ (cbrt (sqrt (* (* PI n) 2))) (cbrt (sqrt k)))) (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k)))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341232.732 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k))) 1540341232.732 * * [misc]simplify: iters left: 6 (11 enodes) 1540341232.735 * * [misc]simplify: iters left: 5 (15 enodes) 1540341232.739 * * [misc]simplify: iters left: 4 (21 enodes) 1540341232.745 * * [misc]simplify: iters left: 3 (22 enodes) 1540341232.750 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* PI n) 2))) (cbrt (sqrt k))) 1540341232.750 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (sqrt (* (* PI n) 2))) (cbrt (sqrt k)))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341232.750 * * * * [misc]progress: [ 14 / 79 ] simplifiying candidate # 1540341232.751 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (sqrt (sqrt k))) 1540341232.751 * * [misc]simplify: iters left: 6 (12 enodes) 1540341232.754 * * [misc]simplify: iters left: 5 (18 enodes) 1540341232.759 * * [misc]simplify: iters left: 4 (26 enodes) 1540341232.766 * * [misc]simplify: iters left: 3 (28 enodes) 1540341232.774 * [exit]simplify: Simplified to (* (cbrt (sqrt (* (* PI n) 2))) (/ (cbrt (sqrt (* (* PI n) 2))) (sqrt (sqrt k)))) 1540341232.774 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (* (* (cbrt (sqrt (* (* PI n) 2))) (/ (cbrt (sqrt (* (* PI n) 2))) (sqrt (sqrt k)))) (/ (cbrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k)))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341232.774 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k))) 1540341232.774 * * [misc]simplify: iters left: 6 (11 enodes) 1540341232.777 * * [misc]simplify: iters left: 5 (15 enodes) 1540341232.781 * * [misc]simplify: iters left: 4 (21 enodes) 1540341232.787 * * [misc]simplify: iters left: 3 (22 enodes) 1540341232.793 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* PI n) 2))) (sqrt (sqrt k))) 1540341232.793 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (sqrt (sqrt k))) (/ (cbrt (sqrt (* (* PI n) 2))) (sqrt (sqrt k)))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341232.793 * * * * [misc]progress: [ 15 / 79 ] simplifiying candidate # 1540341232.793 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) 1) 1540341232.793 * * [misc]simplify: iters left: 6 (10 enodes) 1540341232.796 * * [misc]simplify: iters left: 5 (18 enodes) 1540341232.802 * * [misc]simplify: iters left: 4 (30 enodes) 1540341232.809 * * [misc]simplify: iters left: 3 (33 enodes) 1540341232.816 * * [misc]simplify: iters left: 2 (38 enodes) 1540341232.825 * [exit]simplify: Simplified to (* (cbrt (sqrt (* (* PI n) 2))) (cbrt (sqrt (* (* PI n) 2)))) 1540341232.825 * [misc]simplify: Simplified (2 1 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))))) 1540341232.825 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (sqrt k)) 1540341232.826 * * [misc]simplify: iters left: 6 (10 enodes) 1540341232.829 * * [misc]simplify: iters left: 5 (14 enodes) 1540341232.833 * * [misc]simplify: iters left: 4 (20 enodes) 1540341232.838 * * [misc]simplify: iters left: 3 (22 enodes) 1540341232.843 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* PI 2) n))) (sqrt k)) 1540341232.843 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* (* (cbrt (sqrt (* (* PI n) 2))) (cbrt (sqrt (* (* PI n) 2)))) (/ (cbrt (sqrt (* (* PI 2) n))) (sqrt k))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341232.843 * * * * [misc]progress: [ 16 / 79 ] simplifiying candidate # 1540341232.844 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540341232.844 * * [misc]simplify: iters left: 6 (9 enodes) 1540341232.847 * * [misc]simplify: iters left: 5 (12 enodes) 1540341232.850 * [exit]simplify: Simplified to (/ (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (sqrt k))) 1540341232.850 * [misc]simplify: Simplified (2 1 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))))) 1540341232.850 * [enter]simplify: Simplifying (/ (sqrt PI) (cbrt (sqrt k))) 1540341232.850 * * [misc]simplify: iters left: 4 (6 enodes) 1540341232.852 * [exit]simplify: Simplified to (/ (sqrt PI) (cbrt (sqrt k))) 1540341232.852 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* (/ (sqrt (* 2 n)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt PI) (cbrt (sqrt k)))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341232.852 * * * * [misc]progress: [ 17 / 79 ] simplifiying candidate # 1540341232.852 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) (sqrt (sqrt k))) 1540341232.853 * * [misc]simplify: iters left: 5 (8 enodes) 1540341232.855 * * [misc]simplify: iters left: 4 (9 enodes) 1540341232.857 * [exit]simplify: Simplified to (/ (sqrt (* 2 n)) (sqrt (sqrt k))) 1540341232.857 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (* (/ (sqrt (* 2 n)) (sqrt (sqrt k))) (/ (sqrt PI) (sqrt (sqrt k)))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341232.858 * [enter]simplify: Simplifying (/ (sqrt PI) (sqrt (sqrt k))) 1540341232.858 * * [misc]simplify: iters left: 4 (6 enodes) 1540341232.859 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1540341232.859 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* (/ (sqrt (* 2 n)) (sqrt (sqrt k))) (/ (sqrt PI) (sqrt (sqrt k)))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341232.859 * * * * [misc]progress: [ 18 / 79 ] simplifiying candidate # 1540341232.860 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) 1) 1540341232.860 * * [misc]simplify: iters left: 5 (6 enodes) 1540341232.861 * * [misc]simplify: iters left: 4 (9 enodes) 1540341232.864 * * [misc]simplify: iters left: 3 (11 enodes) 1540341232.866 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1540341232.867 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt k))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341232.868 * [enter]simplify: Simplifying (/ (sqrt PI) (sqrt k)) 1540341232.868 * * [misc]simplify: iters left: 3 (5 enodes) 1540341232.869 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt k)) 1540341232.869 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt k))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341232.869 * * * * [misc]progress: [ 19 / 79 ] simplifiying candidate # 1540341232.870 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540341232.870 * * [misc]simplify: iters left: 6 (12 enodes) 1540341232.873 * * [misc]simplify: iters left: 5 (18 enodes) 1540341232.878 * * [misc]simplify: iters left: 4 (24 enodes) 1540341232.885 * * [misc]simplify: iters left: 3 (25 enodes) 1540341232.891 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* PI n) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540341232.891 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (* (/ (sqrt (sqrt (* (* PI n) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k)))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341232.891 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k))) 1540341232.891 * * [misc]simplify: iters left: 6 (11 enodes) 1540341232.894 * * [misc]simplify: iters left: 5 (15 enodes) 1540341232.898 * * [misc]simplify: iters left: 4 (21 enodes) 1540341232.904 * * [misc]simplify: iters left: 3 (22 enodes) 1540341232.909 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* PI n) 2))) (cbrt (sqrt k))) 1540341232.909 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* (/ (sqrt (sqrt (* (* 2 n) PI))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (sqrt (* (* PI n) 2))) (cbrt (sqrt k)))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341232.909 * * * * [misc]progress: [ 20 / 79 ] simplifiying candidate # 1540341232.910 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k))) 1540341232.910 * * [misc]simplify: iters left: 6 (11 enodes) 1540341232.913 * * [misc]simplify: iters left: 5 (15 enodes) 1540341232.917 * * [misc]simplify: iters left: 4 (21 enodes) 1540341232.922 * * [misc]simplify: iters left: 3 (22 enodes) 1540341232.927 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* PI n) 2))) (sqrt (sqrt k))) 1540341232.927 * [misc]simplify: Simplified (2 1 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))))) 1540341232.928 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k))) 1540341232.928 * * [misc]simplify: iters left: 6 (11 enodes) 1540341232.931 * * [misc]simplify: iters left: 5 (15 enodes) 1540341232.935 * * [misc]simplify: iters left: 4 (21 enodes) 1540341232.941 * * [misc]simplify: iters left: 3 (22 enodes) 1540341232.946 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* PI n) 2))) (sqrt (sqrt k))) 1540341232.946 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k))) (/ (sqrt (sqrt (* (* PI n) 2))) (sqrt (sqrt k)))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341232.946 * * * * [misc]progress: [ 21 / 79 ] simplifiying candidate # 1540341232.946 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) 1) 1540341232.947 * * [misc]simplify: iters left: 6 (9 enodes) 1540341232.949 * * [misc]simplify: iters left: 5 (15 enodes) 1540341232.954 * * [misc]simplify: iters left: 4 (23 enodes) 1540341232.959 * * [misc]simplify: iters left: 3 (24 enodes) 1540341232.964 * [exit]simplify: Simplified to (sqrt (sqrt (* (* PI n) 2))) 1540341232.964 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (* (sqrt (sqrt (* (* PI n) 2))) (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt k))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341232.964 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt k)) 1540341232.965 * * [misc]simplify: iters left: 6 (10 enodes) 1540341232.967 * * [misc]simplify: iters left: 5 (14 enodes) 1540341232.971 * * [misc]simplify: iters left: 4 (20 enodes) 1540341232.976 * * [misc]simplify: iters left: 3 (22 enodes) 1540341232.982 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* PI 2) n))) (sqrt k)) 1540341232.982 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* (sqrt (sqrt (* (* PI n) 2))) (/ (sqrt (sqrt (* (* PI 2) n))) (sqrt k))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341232.982 * * * * [misc]progress: [ 22 / 79 ] simplifiying candidate # 1540341232.982 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540341232.982 * * [misc]simplify: iters left: 6 (6 enodes) 1540341232.984 * * [misc]simplify: iters left: 5 (10 enodes) 1540341232.987 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1540341232.987 * [misc]simplify: Simplified (2 1 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))))) 1540341232.987 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (cbrt (sqrt k))) 1540341232.987 * * [misc]simplify: iters left: 6 (10 enodes) 1540341232.990 * * [misc]simplify: iters left: 5 (14 enodes) 1540341232.994 * * [misc]simplify: iters left: 4 (20 enodes) 1540341233.000 * * [misc]simplify: iters left: 3 (22 enodes) 1540341233.005 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (cbrt (sqrt k))) 1540341233.005 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (* (* PI 2) n)) (cbrt (sqrt k)))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341233.005 * * * * [misc]progress: [ 23 / 79 ] simplifiying candidate # 1540341233.005 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1540341233.005 * * [misc]simplify: iters left: 4 (5 enodes) 1540341233.007 * * [misc]simplify: iters left: 3 (7 enodes) 1540341233.009 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1540341233.009 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k)))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341233.009 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k))) 1540341233.009 * * [misc]simplify: iters left: 6 (10 enodes) 1540341233.013 * * [misc]simplify: iters left: 5 (14 enodes) 1540341233.017 * * [misc]simplify: iters left: 4 (20 enodes) 1540341233.022 * * [misc]simplify: iters left: 3 (22 enodes) 1540341233.027 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1540341233.027 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341233.027 * * * * [misc]progress: [ 24 / 79 ] simplifiying candidate # 1540341233.028 * [enter]simplify: Simplifying (/ 1 1) 1540341233.028 * * [misc]simplify: iters left: 2 (2 enodes) 1540341233.029 * * [misc]simplify: iters left: 1 (4 enodes) 1540341233.029 * [exit]simplify: Simplified to 1 1540341233.029 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (* 1 (/ (sqrt (* (* 2 n) PI)) (sqrt k))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341233.029 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (sqrt k)) 1540341233.030 * * [misc]simplify: iters left: 6 (9 enodes) 1540341233.033 * * [misc]simplify: iters left: 5 (13 enodes) 1540341233.036 * * [misc]simplify: iters left: 4 (19 enodes) 1540341233.041 * * [misc]simplify: iters left: 3 (20 enodes) 1540341233.046 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (sqrt k)) 1540341233.046 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ (sqrt (* (* 2 n) PI)) (sqrt k))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341233.046 * * * * [misc]progress: [ 25 / 79 ] simplifiying candidate # 1540341233.046 * * * * [misc]progress: [ 26 / 79 ] simplifiying candidate # 1540341233.046 * * * * [misc]progress: [ 27 / 79 ] simplifiying candidate # 1540341233.046 * * * * [misc]progress: [ 28 / 79 ] simplifiying candidate # 1540341233.046 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1540341233.046 * * [misc]simplify: iters left: 2 (3 enodes) 1540341233.047 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1540341233.047 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (/ (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341233.047 * * * * [misc]progress: [ 29 / 79 ] simplifiying candidate # 1540341233.047 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1540341233.047 * * [misc]simplify: iters left: 2 (3 enodes) 1540341233.048 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1540341233.048 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341233.048 * * * * [misc]progress: [ 30 / 79 ] simplifiying candidate # 1540341233.048 * [enter]simplify: Simplifying (sqrt k) 1540341233.048 * * [misc]simplify: iters left: 1 (2 enodes) 1540341233.049 * [exit]simplify: Simplified to (sqrt k) 1540341233.049 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (/ (/ (sqrt (* (* 2 n) PI)) 1) (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341233.049 * * * * [misc]progress: [ 31 / 79 ] simplifiying candidate # 1540341233.049 * [enter]simplify: Simplifying (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) 1540341233.049 * * [misc]simplify: iters left: 6 (8 enodes) 1540341233.052 * * [misc]simplify: iters left: 5 (12 enodes) 1540341233.055 * * [misc]simplify: iters left: 4 (18 enodes) 1540341233.059 * * [misc]simplify: iters left: 3 (20 enodes) 1540341233.064 * [exit]simplify: Simplified to (* (cbrt (sqrt (* 2 (* PI n)))) (cbrt (sqrt (* 2 (* PI n))))) 1540341233.065 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (/ (* (cbrt (sqrt (* 2 (* PI n)))) (cbrt (sqrt (* 2 (* PI n))))) (/ (sqrt k) (cbrt (sqrt (* (* 2 n) PI))))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341233.065 * * * * [misc]progress: [ 32 / 79 ] simplifiying candidate # 1540341233.065 * [enter]simplify: Simplifying (sqrt (* 2 n)) 1540341233.065 * * [misc]simplify: iters left: 3 (4 enodes) 1540341233.066 * * [misc]simplify: iters left: 2 (5 enodes) 1540341233.067 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1540341233.067 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (/ (sqrt (* 2 n)) (/ (sqrt k) (sqrt PI))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341233.067 * * * * [misc]progress: [ 33 / 79 ] simplifiying candidate # 1540341233.068 * [enter]simplify: Simplifying (sqrt (sqrt (* (* 2 n) PI))) 1540341233.068 * * [misc]simplify: iters left: 6 (7 enodes) 1540341233.069 * * [misc]simplify: iters left: 5 (11 enodes) 1540341233.070 * * [misc]simplify: iters left: 4 (17 enodes) 1540341233.072 * * [misc]simplify: iters left: 3 (19 enodes) 1540341233.074 * [exit]simplify: Simplified to (sqrt (sqrt (* (* 2 n) PI))) 1540341233.074 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (sqrt (sqrt (* (* 2 n) PI))))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341233.074 * * * * [misc]progress: [ 34 / 79 ] simplifiying candidate # 1540341233.074 * * * * [misc]progress: [ 35 / 79 ] simplifiying candidate # 1540341233.075 * * * * [misc]progress: [ 36 / 79 ] simplifiying candidate # 1540341233.075 * * * * [misc]progress: [ 37 / 79 ] simplifiying candidate # 1540341233.075 * * * * [misc]progress: [ 38 / 79 ] simplifiying candidate # 1540341233.075 * * * * [misc]progress: [ 39 / 79 ] simplifiying candidate # 1540341233.075 * * * * [misc]progress: [ 40 / 79 ] simplifiying candidate # 1540341233.075 * * * * [misc]progress: [ 41 / 79 ] simplifiying candidate # 1540341233.075 * * * * [misc]progress: [ 42 / 79 ] simplifiying candidate # 1540341233.075 * * * * [misc]progress: [ 43 / 79 ] simplifiying candidate # 1540341233.075 * * * * [misc]progress: [ 44 / 79 ] simplifiying candidate # 1540341233.075 * * * * [misc]progress: [ 45 / 79 ] simplifiying candidate # 1540341233.075 * * * * [misc]progress: [ 46 / 79 ] simplifiying candidate # 1540341233.075 * * * * [misc]progress: [ 47 / 79 ] simplifiying candidate # 1540341233.075 * * * * [misc]progress: [ 48 / 79 ] simplifiying candidate # 1540341233.075 * * * * [misc]progress: [ 49 / 79 ] simplifiying candidate # 1540341233.075 * * * * [misc]progress: [ 50 / 79 ] simplifiying candidate # 1540341233.075 * * * * [misc]progress: [ 51 / 79 ] simplifiying candidate # 1540341233.075 * * * * [misc]progress: [ 52 / 79 ] simplifiying candidate # 1540341233.075 * * * * [misc]progress: [ 53 / 79 ] simplifiying candidate # 1540341233.075 * * * * [misc]progress: [ 54 / 79 ] simplifiying candidate # 1540341233.075 * * * * [misc]progress: [ 55 / 79 ] simplifiying candidate # 1540341233.075 * * * * [misc]progress: [ 56 / 79 ] simplifiying candidate # 1540341233.075 * * * * [misc]progress: [ 57 / 79 ] simplifiying candidate # 1540341233.075 * * * * [misc]progress: [ 58 / 79 ] simplifiying candidate # 1540341233.075 * * * * [misc]progress: [ 59 / 79 ] simplifiying candidate # 1540341233.075 * * * * [misc]progress: [ 60 / 79 ] simplifiying candidate # 1540341233.075 * * * * [misc]progress: [ 61 / 79 ] simplifiying candidate # 1540341233.075 * * * * [misc]progress: [ 62 / 79 ] simplifiying candidate # 1540341233.076 * * * * [misc]progress: [ 63 / 79 ] simplifiying candidate # 1540341233.076 * * * * [misc]progress: [ 64 / 79 ] simplifiying candidate # 1540341233.076 * * * * [misc]progress: [ 65 / 79 ] simplifiying candidate # 1540341233.076 * [enter]simplify: Simplifying (sqrt (* 2 n)) 1540341233.076 * * [misc]simplify: iters left: 3 (4 enodes) 1540341233.076 * * [misc]simplify: iters left: 2 (5 enodes) 1540341233.077 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1540341233.077 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (* (/ (* (sqrt (* 2 n)) (sqrt PI)) (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341233.077 * * * * [misc]progress: [ 66 / 79 ] simplifiying candidate # 1540341233.077 * * * * [misc]progress: [ 67 / 79 ] simplifiying candidate # 1540341233.077 * * * * [misc]progress: [ 68 / 79 ] simplifiying candidate # 1540341233.077 * [enter]simplify: Simplifying (* +nan.0 (/ (* (sqrt 2) (* n PI)) k)) 1540341233.077 * [misc]simplify: Simplified (2 1) to (λ (k n) (* +nan.0 (pow (* PI (* n 2)) (- (/ k 2))))) 1540341233.077 * * * * [misc]progress: [ 69 / 79 ] simplifiying candidate # 1540341233.077 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (* (pow n 2) (pow k 3)))) (- (+ (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (* n (pow k 2)))) (- (* +nan.0 (/ (* (sqrt 2) PI) k))))))) 1540341233.077 * [misc]simplify: Simplified (2 1) to (λ (k n) (* +nan.0 (pow (* PI (* n 2)) (- (/ k 2))))) 1540341233.078 * * * * [misc]progress: [ 70 / 79 ] simplifiying candidate # 1540341233.078 * [enter]simplify: Simplifying (- (+ (* +nan.0 PI) (- (+ (* +nan.0 (/ PI k)) (- (* +nan.0 (/ (pow PI 2) n))))))) 1540341233.078 * [misc]simplify: Simplified (2 1) to (λ (k n) (* +nan.0 (pow (* PI (* n 2)) (- (/ k 2))))) 1540341233.078 * * * * [misc]progress: [ 71 / 79 ] simplifiying candidate # 1540341233.078 * [enter]simplify: Simplifying (* 2 (* n PI)) 1540341233.078 * * [misc]simplify: iters left: 4 (5 enodes) 1540341233.079 * * [misc]simplify: iters left: 3 (9 enodes) 1540341233.080 * * [misc]simplify: iters left: 2 (15 enodes) 1540341233.082 * * [misc]simplify: iters left: 1 (17 enodes) 1540341233.084 * [exit]simplify: Simplified to (* (* PI n) 2) 1540341233.084 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (* (/ (sqrt (* (* PI n) 2)) (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341233.084 * * * * [misc]progress: [ 72 / 79 ] simplifiying candidate # 1540341233.084 * [enter]simplify: Simplifying (* 2 (* n PI)) 1540341233.084 * * [misc]simplify: iters left: 4 (5 enodes) 1540341233.085 * * [misc]simplify: iters left: 3 (9 enodes) 1540341233.086 * * [misc]simplify: iters left: 2 (15 enodes) 1540341233.088 * * [misc]simplify: iters left: 1 (17 enodes) 1540341233.090 * [exit]simplify: Simplified to (* (* PI n) 2) 1540341233.090 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (* (/ (sqrt (* (* PI n) 2)) (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341233.090 * * * * [misc]progress: [ 73 / 79 ] simplifiying candidate # 1540341233.090 * [enter]simplify: Simplifying (* 2 (* n PI)) 1540341233.090 * * [misc]simplify: iters left: 4 (5 enodes) 1540341233.091 * * [misc]simplify: iters left: 3 (9 enodes) 1540341233.092 * * [misc]simplify: iters left: 2 (15 enodes) 1540341233.094 * * [misc]simplify: iters left: 1 (17 enodes) 1540341233.096 * [exit]simplify: Simplified to (* (* PI n) 2) 1540341233.096 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (* (/ (sqrt (* (* PI n) 2)) (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341233.096 * * * * [misc]progress: [ 74 / 79 ] simplifiying candidate # 1540341233.096 * [enter]simplify: Simplifying (* 2 (* n PI)) 1540341233.096 * * [misc]simplify: iters left: 4 (5 enodes) 1540341233.097 * * [misc]simplify: iters left: 3 (9 enodes) 1540341233.098 * * [misc]simplify: iters left: 2 (15 enodes) 1540341233.100 * * [misc]simplify: iters left: 1 (17 enodes) 1540341233.102 * [exit]simplify: Simplified to (* (* PI n) 2) 1540341233.102 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2))))) 1540341233.102 * * * * [misc]progress: [ 75 / 79 ] simplifiying candidate # 1540341233.102 * [enter]simplify: Simplifying (* 2 (* n PI)) 1540341233.102 * * [misc]simplify: iters left: 4 (5 enodes) 1540341233.103 * * [misc]simplify: iters left: 3 (9 enodes) 1540341233.104 * * [misc]simplify: iters left: 2 (15 enodes) 1540341233.106 * * [misc]simplify: iters left: 1 (17 enodes) 1540341233.108 * [exit]simplify: Simplified to (* (* PI n) 2) 1540341233.108 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2))))) 1540341233.108 * * * * [misc]progress: [ 76 / 79 ] simplifiying candidate # 1540341233.109 * [enter]simplify: Simplifying (* 2 (* n PI)) 1540341233.109 * * [misc]simplify: iters left: 4 (5 enodes) 1540341233.109 * * [misc]simplify: iters left: 3 (9 enodes) 1540341233.111 * * [misc]simplify: iters left: 2 (15 enodes) 1540341233.113 * * [misc]simplify: iters left: 1 (17 enodes) 1540341233.115 * [exit]simplify: Simplified to (* (* PI n) 2) 1540341233.115 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2))))) 1540341233.116 * * * * [misc]progress: [ 77 / 79 ] simplifiying candidate # 1540341233.116 * [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))))))))) 1540341233.116 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (/ +nan.0 (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341233.116 * * * * [misc]progress: [ 78 / 79 ] simplifiying candidate # 1540341233.116 * [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))))))) 1540341233.116 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (/ +nan.0 (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341233.116 * * * * [misc]progress: [ 79 / 79 ] simplifiying candidate # 1540341233.116 * [enter]simplify: Simplifying (- (+ (* +nan.0 PI) (- (+ (* +nan.0 (/ (pow PI 3) (pow n 2))) (- (* +nan.0 (/ (pow PI 2) n))))))) 1540341233.116 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (/ +nan.0 (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341233.117 * * * [misc]progress: adding candidates to table 1540341234.002 * * [misc]progress: iteration 4 / 4 1540341234.002 * * * [misc]progress: picking best candidate 1540341234.054 * * * * [misc]pick: Picked # 1540341234.054 * * * [misc]progress: localizing error 1540341234.074 * * * [misc]progress: generating rewritten candidates 1540341234.074 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2 1) 1540341234.074 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) 1540341234.085 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2) 1540341234.089 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1) 1540341234.092 * * * [misc]progress: generating series expansions 1540341234.092 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 1) 1540341234.092 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) 1540341234.092 * [misc]backup-simplify: Simplify (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt k))) into (* (sqrt 2) (sqrt (/ (* n PI) k))) 1540341234.092 * [misc]approximate: Taking taylor expansion of (* (sqrt 2) (sqrt (/ (* n PI) k))) in (n k) around 0 1540341234.092 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (/ (* n PI) k))) in k 1540341234.092 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1540341234.092 * [misc]taylor: Taking taylor expansion of 2 in k 1540341234.092 * [misc]backup-simplify: Simplify 2 into 2 1540341234.092 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540341234.093 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540341234.093 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* n PI) k)) in k 1540341234.093 * [misc]taylor: Taking taylor expansion of (/ (* n PI) k) in k 1540341234.093 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1540341234.093 * [misc]taylor: Taking taylor expansion of n in k 1540341234.093 * [misc]backup-simplify: Simplify n into n 1540341234.093 * [misc]taylor: Taking taylor expansion of PI in k 1540341234.093 * [misc]backup-simplify: Simplify PI into PI 1540341234.093 * [misc]taylor: Taking taylor expansion of k in k 1540341234.093 * [misc]backup-simplify: Simplify 0 into 0 1540341234.093 * [misc]backup-simplify: Simplify 1 into 1 1540341234.093 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1540341234.093 * [misc]backup-simplify: Simplify (/ (* n PI) 1) into (* n PI) 1540341234.093 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540341234.093 * [misc]backup-simplify: Simplify (/ (* n PI) (* 2 (sqrt 0))) into (* +nan.0 (* n PI)) 1540341234.093 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (/ (* n PI) k))) in n 1540341234.093 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540341234.093 * [misc]taylor: Taking taylor expansion of 2 in n 1540341234.093 * [misc]backup-simplify: Simplify 2 into 2 1540341234.093 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540341234.093 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540341234.093 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* n PI) k)) in n 1540341234.093 * [misc]taylor: Taking taylor expansion of (/ (* n PI) k) in n 1540341234.093 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540341234.093 * [misc]taylor: Taking taylor expansion of n in n 1540341234.093 * [misc]backup-simplify: Simplify 0 into 0 1540341234.093 * [misc]backup-simplify: Simplify 1 into 1 1540341234.093 * [misc]taylor: Taking taylor expansion of PI in n 1540341234.093 * [misc]backup-simplify: Simplify PI into PI 1540341234.094 * [misc]taylor: Taking taylor expansion of k in n 1540341234.094 * [misc]backup-simplify: Simplify k into k 1540341234.094 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540341234.094 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540341234.094 * [misc]backup-simplify: Simplify (/ PI k) into (/ PI k) 1540341234.094 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540341234.094 * [misc]backup-simplify: Simplify (/ (/ PI k) (* 2 (sqrt 0))) into (* +nan.0 (/ PI k)) 1540341234.094 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (/ (* n PI) k))) in n 1540341234.094 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540341234.094 * [misc]taylor: Taking taylor expansion of 2 in n 1540341234.094 * [misc]backup-simplify: Simplify 2 into 2 1540341234.095 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540341234.095 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540341234.095 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* n PI) k)) in n 1540341234.095 * [misc]taylor: Taking taylor expansion of (/ (* n PI) k) in n 1540341234.095 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540341234.095 * [misc]taylor: Taking taylor expansion of n in n 1540341234.095 * [misc]backup-simplify: Simplify 0 into 0 1540341234.095 * [misc]backup-simplify: Simplify 1 into 1 1540341234.095 * [misc]taylor: Taking taylor expansion of PI in n 1540341234.095 * [misc]backup-simplify: Simplify PI into PI 1540341234.095 * [misc]taylor: Taking taylor expansion of k in n 1540341234.095 * [misc]backup-simplify: Simplify k into k 1540341234.095 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540341234.095 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540341234.095 * [misc]backup-simplify: Simplify (/ PI k) into (/ PI k) 1540341234.096 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540341234.096 * [misc]backup-simplify: Simplify (/ (/ PI k) (* 2 (sqrt 0))) into (* +nan.0 (/ PI k)) 1540341234.096 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1540341234.096 * [misc]taylor: Taking taylor expansion of 0 in k 1540341234.096 * [misc]backup-simplify: Simplify 0 into 0 1540341234.096 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (/ PI k))) (* 0 0)) into (- (* +nan.0 (/ (* (sqrt 2) PI) k))) 1540341234.096 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) PI) k))) in k 1540341234.096 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) PI) k)) in k 1540341234.096 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1540341234.096 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540341234.096 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt 2) PI) k) in k 1540341234.096 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) PI) in k 1540341234.096 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1540341234.096 * [misc]taylor: Taking taylor expansion of 2 in k 1540341234.096 * [misc]backup-simplify: Simplify 2 into 2 1540341234.096 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540341234.097 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540341234.097 * [misc]taylor: Taking taylor expansion of PI in k 1540341234.097 * [misc]backup-simplify: Simplify PI into PI 1540341234.097 * [misc]taylor: Taking taylor expansion of k in k 1540341234.097 * [misc]backup-simplify: Simplify 0 into 0 1540341234.097 * [misc]backup-simplify: Simplify 1 into 1 1540341234.097 * [misc]backup-simplify: Simplify (* (sqrt 2) PI) into (* (sqrt 2) PI) 1540341234.097 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) PI) 1) into (* (sqrt 2) PI) 1540341234.098 * [misc]backup-simplify: Simplify (* +nan.0 (* (sqrt 2) PI)) into (* +nan.0 (* (sqrt 2) PI)) 1540341234.098 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1540341234.099 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1540341234.099 * [misc]backup-simplify: Simplify 0 into 0 1540341234.100 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1540341234.100 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ PI k) (/ 0 k)))) into 0 1540341234.101 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (/ PI k)) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow PI 2) (pow k 2))) 1540341234.102 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1540341234.103 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (/ (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (/ PI k))) (* 0 0))) into (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (pow k 2)))) 1540341234.103 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (pow k 2)))) in k 1540341234.103 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (pow k 2))) in k 1540341234.103 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1540341234.103 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540341234.103 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt 2) (pow PI 2)) (pow k 2)) in k 1540341234.103 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow PI 2)) in k 1540341234.103 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1540341234.103 * [misc]taylor: Taking taylor expansion of 2 in k 1540341234.103 * [misc]backup-simplify: Simplify 2 into 2 1540341234.104 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540341234.104 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540341234.104 * [misc]taylor: Taking taylor expansion of (pow PI 2) in k 1540341234.104 * [misc]taylor: Taking taylor expansion of PI in k 1540341234.104 * [misc]backup-simplify: Simplify PI into PI 1540341234.104 * [misc]taylor: Taking taylor expansion of (pow k 2) in k 1540341234.104 * [misc]taylor: Taking taylor expansion of k in k 1540341234.104 * [misc]backup-simplify: Simplify 0 into 0 1540341234.104 * [misc]backup-simplify: Simplify 1 into 1 1540341234.104 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1540341234.105 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2)) 1540341234.105 * [misc]backup-simplify: Simplify (* 1 1) into 1 1540341234.106 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) (pow PI 2)) 1) into (* (sqrt 2) (pow PI 2)) 1540341234.107 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 1540341234.108 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 2))) into 0 1540341234.108 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1540341234.110 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sqrt 2) (pow PI 2)) (/ 0 1)))) into 0 1540341234.111 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2) (pow PI 2)))) into 0 1540341234.112 * [misc]backup-simplify: Simplify (- 0) into 0 1540341234.112 * [misc]backup-simplify: Simplify 0 into 0 1540341234.112 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 PI)) into 0 1540341234.114 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sqrt 2) PI) (/ 0 1)))) into 0 1540341234.115 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2) PI))) into 0 1540341234.115 * [misc]backup-simplify: Simplify (- 0) into 0 1540341234.115 * [misc]backup-simplify: Simplify 0 into 0 1540341234.115 * [misc]backup-simplify: Simplify 0 into 0 1540341234.117 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1540341234.117 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ PI k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540341234.118 * [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))) 1540341234.118 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1540341234.119 * [misc]backup-simplify: Simplify (+ (* (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 (/ (* (sqrt 2) (pow PI 3)) (pow k 3)))) 1540341234.119 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (pow k 3)))) in k 1540341234.119 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (pow k 3))) in k 1540341234.119 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1540341234.119 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540341234.119 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt 2) (pow PI 3)) (pow k 3)) in k 1540341234.119 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow PI 3)) in k 1540341234.119 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1540341234.119 * [misc]taylor: Taking taylor expansion of 2 in k 1540341234.119 * [misc]backup-simplify: Simplify 2 into 2 1540341234.119 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540341234.120 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540341234.120 * [misc]taylor: Taking taylor expansion of (pow PI 3) in k 1540341234.120 * [misc]taylor: Taking taylor expansion of PI in k 1540341234.120 * [misc]backup-simplify: Simplify PI into PI 1540341234.120 * [misc]taylor: Taking taylor expansion of (pow k 3) in k 1540341234.120 * [misc]taylor: Taking taylor expansion of k in k 1540341234.120 * [misc]backup-simplify: Simplify 0 into 0 1540341234.120 * [misc]backup-simplify: Simplify 1 into 1 1540341234.120 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1540341234.120 * [misc]backup-simplify: Simplify (* PI (pow PI 2)) into (pow PI 3) 1540341234.121 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 3)) into (* (sqrt 2) (pow PI 3)) 1540341234.121 * [misc]backup-simplify: Simplify (* 1 1) into 1 1540341234.121 * [misc]backup-simplify: Simplify (* 1 1) into 1 1540341234.121 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) (pow PI 3)) 1) into (* (sqrt 2) (pow PI 3)) 1540341234.122 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 1540341234.123 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 1540341234.124 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 1540341234.124 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (pow PI 2))) into 0 1540341234.125 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1540341234.126 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (pow PI 3)))) into 0 1540341234.126 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1540341234.126 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1540341234.126 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1540341234.127 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 3))) into 0 1540341234.127 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1540341234.128 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sqrt 2) (pow PI 3)) (/ 0 1)))) into 0 1540341234.130 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sqrt 2) (pow PI 3)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341234.131 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (* (sqrt 2) (pow PI 3))))) into 0 1540341234.131 * [misc]backup-simplify: Simplify (- 0) into 0 1540341234.131 * [misc]backup-simplify: Simplify 0 into 0 1540341234.132 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 1540341234.133 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1540341234.134 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 1540341234.134 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1540341234.135 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sqrt 2) (pow PI 2)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341234.136 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (* (sqrt 2) (pow PI 2))))) into 0 1540341234.136 * [misc]backup-simplify: Simplify (- 0) into 0 1540341234.136 * [misc]backup-simplify: Simplify 0 into 0 1540341234.137 * [misc]backup-simplify: Simplify (* (- (* +nan.0 (* (sqrt 2) PI))) (* (/ 1 k) n)) into (* +nan.0 (/ (* (sqrt 2) (* n PI)) k)) 1540341234.137 * [misc]backup-simplify: Simplify (* (sqrt (* 2 (/ 1 n))) (/ (sqrt PI) (sqrt (/ 1 k)))) into (* (sqrt 2) (sqrt (/ (* PI k) n))) 1540341234.137 * [misc]approximate: Taking taylor expansion of (* (sqrt 2) (sqrt (/ (* PI k) n))) in (n k) around 0 1540341234.137 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (/ (* PI k) n))) in k 1540341234.138 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1540341234.138 * [misc]taylor: Taking taylor expansion of 2 in k 1540341234.138 * [misc]backup-simplify: Simplify 2 into 2 1540341234.138 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540341234.138 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540341234.138 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* PI k) n)) in k 1540341234.138 * [misc]taylor: Taking taylor expansion of (/ (* PI k) n) in k 1540341234.138 * [misc]taylor: Taking taylor expansion of (* PI k) in k 1540341234.138 * [misc]taylor: Taking taylor expansion of PI in k 1540341234.138 * [misc]backup-simplify: Simplify PI into PI 1540341234.138 * [misc]taylor: Taking taylor expansion of k in k 1540341234.138 * [misc]backup-simplify: Simplify 0 into 0 1540341234.138 * [misc]backup-simplify: Simplify 1 into 1 1540341234.138 * [misc]taylor: Taking taylor expansion of n in k 1540341234.138 * [misc]backup-simplify: Simplify n into n 1540341234.138 * [misc]backup-simplify: Simplify (* PI 0) into 0 1540341234.139 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1540341234.139 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1540341234.139 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540341234.139 * [misc]backup-simplify: Simplify (/ (/ PI n) (* 2 (sqrt 0))) into (* +nan.0 (/ PI n)) 1540341234.139 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (/ (* PI k) n))) in n 1540341234.139 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540341234.139 * [misc]taylor: Taking taylor expansion of 2 in n 1540341234.139 * [misc]backup-simplify: Simplify 2 into 2 1540341234.139 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540341234.139 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540341234.139 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* PI k) n)) in n 1540341234.139 * [misc]taylor: Taking taylor expansion of (/ (* PI k) n) in n 1540341234.139 * [misc]taylor: Taking taylor expansion of (* PI k) in n 1540341234.139 * [misc]taylor: Taking taylor expansion of PI in n 1540341234.139 * [misc]backup-simplify: Simplify PI into PI 1540341234.139 * [misc]taylor: Taking taylor expansion of k in n 1540341234.139 * [misc]backup-simplify: Simplify k into k 1540341234.139 * [misc]taylor: Taking taylor expansion of n in n 1540341234.139 * [misc]backup-simplify: Simplify 0 into 0 1540341234.139 * [misc]backup-simplify: Simplify 1 into 1 1540341234.139 * [misc]backup-simplify: Simplify (* PI k) into (* PI k) 1540341234.139 * [misc]backup-simplify: Simplify (/ (* PI k) 1) into (* PI k) 1540341234.140 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540341234.140 * [misc]backup-simplify: Simplify (/ (* PI k) (* 2 (sqrt 0))) into (* +nan.0 (* PI k)) 1540341234.140 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (/ (* PI k) n))) in n 1540341234.140 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540341234.140 * [misc]taylor: Taking taylor expansion of 2 in n 1540341234.140 * [misc]backup-simplify: Simplify 2 into 2 1540341234.140 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540341234.140 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540341234.140 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* PI k) n)) in n 1540341234.140 * [misc]taylor: Taking taylor expansion of (/ (* PI k) n) in n 1540341234.140 * [misc]taylor: Taking taylor expansion of (* PI k) in n 1540341234.140 * [misc]taylor: Taking taylor expansion of PI in n 1540341234.140 * [misc]backup-simplify: Simplify PI into PI 1540341234.140 * [misc]taylor: Taking taylor expansion of k in n 1540341234.140 * [misc]backup-simplify: Simplify k into k 1540341234.140 * [misc]taylor: Taking taylor expansion of n in n 1540341234.140 * [misc]backup-simplify: Simplify 0 into 0 1540341234.140 * [misc]backup-simplify: Simplify 1 into 1 1540341234.140 * [misc]backup-simplify: Simplify (* PI k) into (* PI k) 1540341234.140 * [misc]backup-simplify: Simplify (/ (* PI k) 1) into (* PI k) 1540341234.140 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540341234.140 * [misc]backup-simplify: Simplify (/ (* PI k) (* 2 (sqrt 0))) into (* +nan.0 (* PI k)) 1540341234.141 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1540341234.141 * [misc]taylor: Taking taylor expansion of 0 in k 1540341234.141 * [misc]backup-simplify: Simplify 0 into 0 1540341234.141 * [misc]backup-simplify: Simplify 0 into 0 1540341234.141 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (* PI k))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI k)))) 1540341234.141 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (* PI k)))) in k 1540341234.141 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* PI k))) in k 1540341234.141 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1540341234.141 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540341234.141 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* PI k)) in k 1540341234.141 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1540341234.141 * [misc]taylor: Taking taylor expansion of 2 in k 1540341234.141 * [misc]backup-simplify: Simplify 2 into 2 1540341234.141 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540341234.141 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540341234.141 * [misc]taylor: Taking taylor expansion of (* PI k) in k 1540341234.141 * [misc]taylor: Taking taylor expansion of PI in k 1540341234.141 * [misc]backup-simplify: Simplify PI into PI 1540341234.141 * [misc]taylor: Taking taylor expansion of k in k 1540341234.141 * [misc]backup-simplify: Simplify 0 into 0 1540341234.141 * [misc]backup-simplify: Simplify 1 into 1 1540341234.142 * [misc]backup-simplify: Simplify (* PI 0) into 0 1540341234.142 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1540341234.142 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540341234.142 * [misc]backup-simplify: Simplify (- 0) into 0 1540341234.142 * [misc]backup-simplify: Simplify 0 into 0 1540341234.142 * [misc]backup-simplify: Simplify 0 into 0 1540341234.142 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 k)) into 0 1540341234.142 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)))) into 0 1540341234.143 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (* PI k)) 2) (+)) (* 2 0)) into (* +nan.0 (* (pow PI 2) (pow k 2))) 1540341234.144 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1540341234.144 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (* (pow PI 2) (pow k 2))))) 1540341234.144 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (* (pow PI 2) (pow k 2))))) in k 1540341234.144 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* (pow PI 2) (pow k 2)))) in k 1540341234.144 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1540341234.144 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540341234.144 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 2) (pow k 2))) in k 1540341234.144 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1540341234.144 * [misc]taylor: Taking taylor expansion of 2 in k 1540341234.144 * [misc]backup-simplify: Simplify 2 into 2 1540341234.145 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540341234.145 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540341234.145 * [misc]taylor: Taking taylor expansion of (* (pow PI 2) (pow k 2)) in k 1540341234.145 * [misc]taylor: Taking taylor expansion of (pow PI 2) in k 1540341234.145 * [misc]taylor: Taking taylor expansion of PI in k 1540341234.145 * [misc]backup-simplify: Simplify PI into PI 1540341234.145 * [misc]taylor: Taking taylor expansion of (pow k 2) in k 1540341234.145 * [misc]taylor: Taking taylor expansion of k in k 1540341234.145 * [misc]backup-simplify: Simplify 0 into 0 1540341234.145 * [misc]backup-simplify: Simplify 1 into 1 1540341234.145 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1540341234.146 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) PI) (* 0 0)) into (* (sqrt 2) PI) 1540341234.146 * [misc]backup-simplify: Simplify (+ (* +nan.0 (* (sqrt 2) PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1540341234.147 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1540341234.148 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1540341234.148 * [misc]backup-simplify: Simplify 0 into 0 1540341234.148 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 k))) into 0 1540341234.149 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341234.149 * [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))) 1540341234.149 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1540341234.150 * [misc]backup-simplify: Simplify (+ (* (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 (* (sqrt 2) (* (pow PI 3) (pow k 3))))) 1540341234.150 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (* (pow PI 3) (pow k 3))))) in k 1540341234.150 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* (pow PI 3) (pow k 3)))) in k 1540341234.150 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1540341234.150 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540341234.150 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 3) (pow k 3))) in k 1540341234.150 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1540341234.150 * [misc]taylor: Taking taylor expansion of 2 in k 1540341234.150 * [misc]backup-simplify: Simplify 2 into 2 1540341234.150 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540341234.150 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540341234.150 * [misc]taylor: Taking taylor expansion of (* (pow PI 3) (pow k 3)) in k 1540341234.150 * [misc]taylor: Taking taylor expansion of (pow PI 3) in k 1540341234.150 * [misc]taylor: Taking taylor expansion of PI in k 1540341234.150 * [misc]backup-simplify: Simplify PI into PI 1540341234.150 * [misc]taylor: Taking taylor expansion of (pow k 3) in k 1540341234.150 * [misc]taylor: Taking taylor expansion of k in k 1540341234.150 * [misc]backup-simplify: Simplify 0 into 0 1540341234.150 * [misc]backup-simplify: Simplify 1 into 1 1540341234.151 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 1540341234.152 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1540341234.153 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 PI) (* 0 0))) into 0 1540341234.154 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 (* (sqrt 2) PI)) (* 0 0))) into 0 1540341234.154 * [misc]backup-simplify: Simplify (- 0) into 0 1540341234.154 * [misc]backup-simplify: Simplify 0 into 0 1540341234.154 * [misc]backup-simplify: Simplify 0 into 0 1540341234.154 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1540341234.155 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341234.155 * [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))) 1540341234.157 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1540341234.158 * [misc]backup-simplify: Simplify (+ (* (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 (* (sqrt 2) (* (pow PI 4) (pow k 4))))) 1540341234.159 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (* (pow PI 4) (pow k 4))))) in k 1540341234.159 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* (pow PI 4) (pow k 4)))) in k 1540341234.159 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1540341234.159 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540341234.159 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 4) (pow k 4))) in k 1540341234.159 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1540341234.159 * [misc]taylor: Taking taylor expansion of 2 in k 1540341234.159 * [misc]backup-simplify: Simplify 2 into 2 1540341234.159 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540341234.159 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540341234.159 * [misc]taylor: Taking taylor expansion of (* (pow PI 4) (pow k 4)) in k 1540341234.159 * [misc]taylor: Taking taylor expansion of (pow PI 4) in k 1540341234.159 * [misc]taylor: Taking taylor expansion of PI in k 1540341234.159 * [misc]backup-simplify: Simplify PI into PI 1540341234.159 * [misc]taylor: Taking taylor expansion of (pow k 4) in k 1540341234.159 * [misc]taylor: Taking taylor expansion of k in k 1540341234.159 * [misc]backup-simplify: Simplify 0 into 0 1540341234.159 * [misc]backup-simplify: Simplify 1 into 1 1540341234.160 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1540341234.160 * [misc]backup-simplify: Simplify (* 1 1) into 1 1540341234.160 * [misc]backup-simplify: Simplify (* (pow PI 2) 1) into (pow PI 2) 1540341234.161 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2)) 1540341234.162 * [misc]backup-simplify: Simplify (* +nan.0 (* (sqrt 2) (pow PI 2))) into (* +nan.0 (* (sqrt 2) (pow PI 2))) 1540341234.163 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1540341234.164 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1540341234.165 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1540341234.165 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1540341234.166 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1540341234.167 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 (* (sqrt 2) PI)) (* 0 0)))) into 0 1540341234.167 * [misc]backup-simplify: Simplify (- 0) into 0 1540341234.167 * [misc]backup-simplify: Simplify 0 into 0 1540341234.167 * [misc]backup-simplify: Simplify 0 into 0 1540341234.168 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 k))))) into 0 1540341234.168 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341234.169 * [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))) 1540341234.169 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1540341234.171 * [misc]backup-simplify: Simplify (+ (* (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 (* (sqrt 2) (* (pow PI 5) (pow k 5))))) 1540341234.171 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (* (pow PI 5) (pow k 5))))) in k 1540341234.171 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* (pow PI 5) (pow k 5)))) in k 1540341234.171 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1540341234.171 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540341234.171 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 5) (pow k 5))) in k 1540341234.171 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1540341234.171 * [misc]taylor: Taking taylor expansion of 2 in k 1540341234.171 * [misc]backup-simplify: Simplify 2 into 2 1540341234.171 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540341234.171 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540341234.171 * [misc]taylor: Taking taylor expansion of (* (pow PI 5) (pow k 5)) in k 1540341234.171 * [misc]taylor: Taking taylor expansion of (pow PI 5) in k 1540341234.171 * [misc]taylor: Taking taylor expansion of PI in k 1540341234.171 * [misc]backup-simplify: Simplify PI into PI 1540341234.171 * [misc]taylor: Taking taylor expansion of (pow k 5) in k 1540341234.171 * [misc]taylor: Taking taylor expansion of k in k 1540341234.171 * [misc]backup-simplify: Simplify 0 into 0 1540341234.171 * [misc]backup-simplify: Simplify 1 into 1 1540341234.171 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1540341234.172 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 1540341234.172 * [misc]backup-simplify: Simplify (+ (* (pow PI 2) 0) (* 0 1)) into 0 1540341234.173 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 2))) into 0 1540341234.174 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2) (pow PI 2)))) into 0 1540341234.174 * [misc]backup-simplify: Simplify (- 0) into 0 1540341234.174 * [misc]backup-simplify: Simplify 0 into 0 1540341234.174 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1540341234.175 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1540341234.177 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1540341234.178 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (* (sqrt 2) PI)) (* 0 0))))) into 0 1540341234.178 * [misc]backup-simplify: Simplify (- 0) into 0 1540341234.178 * [misc]backup-simplify: Simplify 0 into 0 1540341234.179 * [misc]backup-simplify: Simplify 0 into 0 1540341234.179 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))))) into 0 1540341234.180 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341234.182 * [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))) 1540341234.184 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1540341234.185 * [misc]backup-simplify: Simplify (+ (* (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 (* (sqrt 2) (* (pow PI 6) (pow k 6))))) 1540341234.185 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (* (pow PI 6) (pow k 6))))) in k 1540341234.185 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* (pow PI 6) (pow k 6)))) in k 1540341234.185 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1540341234.185 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540341234.185 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 6) (pow k 6))) in k 1540341234.185 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1540341234.185 * [misc]taylor: Taking taylor expansion of 2 in k 1540341234.185 * [misc]backup-simplify: Simplify 2 into 2 1540341234.185 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540341234.185 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540341234.185 * [misc]taylor: Taking taylor expansion of (* (pow PI 6) (pow k 6)) in k 1540341234.185 * [misc]taylor: Taking taylor expansion of (pow PI 6) in k 1540341234.185 * [misc]taylor: Taking taylor expansion of PI in k 1540341234.185 * [misc]backup-simplify: Simplify PI into PI 1540341234.185 * [misc]taylor: Taking taylor expansion of (pow k 6) in k 1540341234.185 * [misc]taylor: Taking taylor expansion of k in k 1540341234.185 * [misc]backup-simplify: Simplify 0 into 0 1540341234.185 * [misc]backup-simplify: Simplify 1 into 1 1540341234.186 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1540341234.186 * [misc]backup-simplify: Simplify (* PI (pow PI 2)) into (pow PI 3) 1540341234.186 * [misc]backup-simplify: Simplify (* 1 1) into 1 1540341234.186 * [misc]backup-simplify: Simplify (* 1 1) into 1 1540341234.186 * [misc]backup-simplify: Simplify (* (pow PI 3) 1) into (pow PI 3) 1540341234.187 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 3)) into (* (sqrt 2) (pow PI 3)) 1540341234.188 * [misc]backup-simplify: Simplify (* +nan.0 (* (sqrt 2) (pow PI 3))) into (* +nan.0 (* (sqrt 2) (pow PI 3))) 1540341234.189 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) 1540341234.190 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) 1540341234.194 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) (* (pow (/ 1 k) 3) (pow (/ 1 n) 2))) (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (* (pow (/ 1 k) 2) (/ 1 n))) (* (- (* +nan.0 (* (sqrt 2) PI))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (* (pow n 2) (pow k 3)))) (- (+ (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (* n (pow k 2)))) (- (* +nan.0 (/ (* (sqrt 2) PI) k))))))) 1540341234.195 * [misc]backup-simplify: Simplify (* (sqrt (* 2 (/ 1 (- n)))) (/ (sqrt PI) (sqrt (/ 1 (- k))))) into (* (/ (sqrt (/ -2 n)) (sqrt (/ -1 k))) (sqrt PI)) 1540341234.195 * [misc]approximate: Taking taylor expansion of (* (/ (sqrt (/ -2 n)) (sqrt (/ -1 k))) (sqrt PI)) in (n k) around 0 1540341234.195 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt (/ -2 n)) (sqrt (/ -1 k))) (sqrt PI)) in k 1540341234.195 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -2 n)) (sqrt (/ -1 k))) in k 1540341234.195 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in k 1540341234.195 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1540341234.195 * [misc]taylor: Taking taylor expansion of -2 in k 1540341234.195 * [misc]backup-simplify: Simplify -2 into -2 1540341234.195 * [misc]taylor: Taking taylor expansion of n in k 1540341234.195 * [misc]backup-simplify: Simplify n into n 1540341234.195 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1540341234.195 * [misc]backup-simplify: Simplify (sqrt (/ -2 n)) into (sqrt (/ -2 n)) 1540341234.195 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ -2 n) (/ 0 n)))) into 0 1540341234.195 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -2 n)))) into 0 1540341234.195 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540341234.195 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540341234.195 * [misc]taylor: Taking taylor expansion of -1 in k 1540341234.196 * [misc]backup-simplify: Simplify -1 into -1 1540341234.196 * [misc]taylor: Taking taylor expansion of k in k 1540341234.196 * [misc]backup-simplify: Simplify 0 into 0 1540341234.196 * [misc]backup-simplify: Simplify 1 into 1 1540341234.196 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540341234.196 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540341234.196 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540341234.196 * [misc]backup-simplify: Simplify (/ (sqrt (/ -2 n)) +nan.0) into (* +nan.0 (sqrt (/ -2 n))) 1540341234.196 * [misc]taylor: Taking taylor expansion of (sqrt PI) in k 1540341234.196 * [misc]taylor: Taking taylor expansion of PI in k 1540341234.196 * [misc]backup-simplify: Simplify PI into PI 1540341234.197 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1540341234.197 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1540341234.197 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt (/ -2 n)) (sqrt (/ -1 k))) (sqrt PI)) in n 1540341234.197 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -2 n)) (sqrt (/ -1 k))) in n 1540341234.197 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in n 1540341234.197 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1540341234.197 * [misc]taylor: Taking taylor expansion of -2 in n 1540341234.198 * [misc]backup-simplify: Simplify -2 into -2 1540341234.198 * [misc]taylor: Taking taylor expansion of n in n 1540341234.198 * [misc]backup-simplify: Simplify 0 into 0 1540341234.198 * [misc]backup-simplify: Simplify 1 into 1 1540341234.198 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1540341234.198 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540341234.198 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt 0))) into +nan.0 1540341234.198 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1540341234.198 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1540341234.198 * [misc]taylor: Taking taylor expansion of -1 in n 1540341234.198 * [misc]backup-simplify: Simplify -1 into -1 1540341234.198 * [misc]taylor: Taking taylor expansion of k in n 1540341234.198 * [misc]backup-simplify: Simplify k into k 1540341234.198 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1540341234.199 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1540341234.199 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1540341234.199 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1540341234.199 * [misc]backup-simplify: Simplify (/ +nan.0 (sqrt (/ -1 k))) into (/ +nan.0 (sqrt (/ -1 k))) 1540341234.199 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1540341234.199 * [misc]taylor: Taking taylor expansion of PI in n 1540341234.199 * [misc]backup-simplify: Simplify PI into PI 1540341234.199 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1540341234.200 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1540341234.200 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt (/ -2 n)) (sqrt (/ -1 k))) (sqrt PI)) in n 1540341234.200 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -2 n)) (sqrt (/ -1 k))) in n 1540341234.200 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in n 1540341234.200 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1540341234.200 * [misc]taylor: Taking taylor expansion of -2 in n 1540341234.200 * [misc]backup-simplify: Simplify -2 into -2 1540341234.200 * [misc]taylor: Taking taylor expansion of n in n 1540341234.200 * [misc]backup-simplify: Simplify 0 into 0 1540341234.200 * [misc]backup-simplify: Simplify 1 into 1 1540341234.200 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1540341234.200 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540341234.201 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt 0))) into +nan.0 1540341234.201 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1540341234.201 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1540341234.201 * [misc]taylor: Taking taylor expansion of -1 in n 1540341234.201 * [misc]backup-simplify: Simplify -1 into -1 1540341234.201 * [misc]taylor: Taking taylor expansion of k in n 1540341234.201 * [misc]backup-simplify: Simplify k into k 1540341234.201 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1540341234.201 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1540341234.201 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1540341234.201 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1540341234.201 * [misc]backup-simplify: Simplify (/ +nan.0 (sqrt (/ -1 k))) into (/ +nan.0 (sqrt (/ -1 k))) 1540341234.201 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1540341234.201 * [misc]taylor: Taking taylor expansion of PI in n 1540341234.201 * [misc]backup-simplify: Simplify PI into PI 1540341234.202 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1540341234.203 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1540341234.203 * [misc]backup-simplify: Simplify (* (/ +nan.0 (sqrt (/ -1 k))) (sqrt PI)) into (* +nan.0 (* (/ 1 (sqrt (/ -1 k))) (sqrt PI))) 1540341234.203 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (/ 1 (sqrt (/ -1 k))) (sqrt PI))) in k 1540341234.203 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1540341234.203 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540341234.203 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (sqrt PI)) in k 1540341234.203 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 1540341234.203 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540341234.203 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540341234.203 * [misc]taylor: Taking taylor expansion of -1 in k 1540341234.203 * [misc]backup-simplify: Simplify -1 into -1 1540341234.203 * [misc]taylor: Taking taylor expansion of k in k 1540341234.203 * [misc]backup-simplify: Simplify 0 into 0 1540341234.203 * [misc]backup-simplify: Simplify 1 into 1 1540341234.203 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540341234.204 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540341234.204 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540341234.204 * [misc]backup-simplify: Simplify (/ 1 +nan.0) into +nan.0 1540341234.204 * [misc]taylor: Taking taylor expansion of (sqrt PI) in k 1540341234.204 * [misc]taylor: Taking taylor expansion of PI in k 1540341234.204 * [misc]backup-simplify: Simplify PI into PI 1540341234.204 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1540341234.205 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1540341234.205 * [misc]backup-simplify: Simplify (* +nan.0 (sqrt PI)) into (* +nan.0 (sqrt PI)) 1540341234.205 * [misc]backup-simplify: Simplify (* +nan.0 (* +nan.0 (sqrt PI))) into (* +nan.0 (sqrt PI)) 1540341234.206 * [misc]backup-simplify: Simplify (* +nan.0 (sqrt PI)) into (* +nan.0 (sqrt PI)) 1540341234.206 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1540341234.207 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540341234.207 * [misc]backup-simplify: Simplify (- (/ +nan.0 (sqrt (/ -1 k))) (+ (* (/ +nan.0 (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into (- (* +nan.0 (/ 1 (sqrt (/ -1 k))))) 1540341234.207 * [misc]backup-simplify: Simplify (+ (* (/ +nan.0 (sqrt (/ -1 k))) 0) (* (- (* +nan.0 (/ 1 (sqrt (/ -1 k))))) (sqrt PI))) into (- (* +nan.0 (* (/ 1 (sqrt (/ -1 k))) (sqrt PI)))) 1540341234.207 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (/ 1 (sqrt (/ -1 k))) (sqrt PI)))) in k 1540341234.207 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (/ 1 (sqrt (/ -1 k))) (sqrt PI))) in k 1540341234.207 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1540341234.207 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540341234.207 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (sqrt PI)) in k 1540341234.207 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 1540341234.207 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540341234.207 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540341234.207 * [misc]taylor: Taking taylor expansion of -1 in k 1540341234.207 * [misc]backup-simplify: Simplify -1 into -1 1540341234.207 * [misc]taylor: Taking taylor expansion of k in k 1540341234.207 * [misc]backup-simplify: Simplify 0 into 0 1540341234.207 * [misc]backup-simplify: Simplify 1 into 1 1540341234.207 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540341234.208 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540341234.208 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540341234.208 * [misc]backup-simplify: Simplify (/ 1 +nan.0) into +nan.0 1540341234.208 * [misc]taylor: Taking taylor expansion of (sqrt PI) in k 1540341234.208 * [misc]taylor: Taking taylor expansion of PI in k 1540341234.208 * [misc]backup-simplify: Simplify PI into PI 1540341234.208 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1540341234.209 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1540341234.209 * [misc]backup-simplify: Simplify (* +nan.0 (sqrt PI)) into (* +nan.0 (sqrt PI)) 1540341234.209 * [misc]backup-simplify: Simplify (* +nan.0 (* +nan.0 (sqrt PI))) into (* +nan.0 (sqrt PI)) 1540341234.210 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt PI))) into (- (* +nan.0 (sqrt PI))) 1540341234.210 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt PI))) into (- (* +nan.0 (sqrt PI))) 1540341234.210 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1540341234.211 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540341234.212 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 1540341234.212 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* (- +nan.0) (sqrt PI))) into (- (* +nan.0 (sqrt PI))) 1540341234.214 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt PI)))) (* 0 (* +nan.0 (sqrt PI)))) into (- (* +nan.0 (sqrt PI))) 1540341234.214 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt PI))) into (- (* +nan.0 (sqrt PI))) 1540341234.215 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (sqrt PI))) (* (/ 1 (- k)) 1)) (+ (* (- (* +nan.0 (sqrt PI))) (* 1 (/ 1 (- n)))) (* +nan.0 (sqrt PI)))) into (- (+ (* +nan.0 (* (sqrt PI) (/ 1 k))) (- (+ (* +nan.0 (* (/ 1 n) (sqrt PI))) (- (* +nan.0 (sqrt PI))))))) 1540341234.215 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2) 1540341234.216 * [misc]backup-simplify: Simplify (/ (sqrt PI) (sqrt k)) into (sqrt (/ PI k)) 1540341234.216 * [misc]approximate: Taking taylor expansion of (sqrt (/ PI k)) in (k) around 0 1540341234.216 * [misc]taylor: Taking taylor expansion of (sqrt (/ PI k)) in k 1540341234.216 * [misc]taylor: Taking taylor expansion of (/ PI k) in k 1540341234.216 * [misc]taylor: Taking taylor expansion of PI in k 1540341234.216 * [misc]backup-simplify: Simplify PI into PI 1540341234.216 * [misc]taylor: Taking taylor expansion of k in k 1540341234.216 * [misc]backup-simplify: Simplify 0 into 0 1540341234.216 * [misc]backup-simplify: Simplify 1 into 1 1540341234.216 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540341234.216 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540341234.217 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540341234.217 * [misc]taylor: Taking taylor expansion of (sqrt (/ PI k)) in k 1540341234.217 * [misc]taylor: Taking taylor expansion of (/ PI k) in k 1540341234.217 * [misc]taylor: Taking taylor expansion of PI in k 1540341234.217 * [misc]backup-simplify: Simplify PI into PI 1540341234.217 * [misc]taylor: Taking taylor expansion of k in k 1540341234.217 * [misc]backup-simplify: Simplify 0 into 0 1540341234.217 * [misc]backup-simplify: Simplify 1 into 1 1540341234.217 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540341234.217 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540341234.217 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540341234.217 * [misc]backup-simplify: Simplify 0 into 0 1540341234.217 * [misc]backup-simplify: Simplify (* +nan.0 PI) into (* +nan.0 PI) 1540341234.218 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540341234.219 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1540341234.219 * [misc]backup-simplify: Simplify (* +nan.0 (pow PI 2)) into (* +nan.0 (pow PI 2)) 1540341234.220 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341234.222 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 PI) (* +nan.0 (pow PI 2)))))) (* 2 0)) into (* +nan.0 (pow PI 3)) 1540341234.222 * [misc]backup-simplify: Simplify (* +nan.0 (pow PI 3)) into (* +nan.0 (pow PI 3)) 1540341234.223 * [misc]backup-simplify: Simplify (+ (* (* +nan.0 (pow PI 3)) (pow k 2)) (+ (* (* +nan.0 (pow PI 2)) k) (* +nan.0 PI))) into (- (+ (* +nan.0 (* (pow PI 3) (pow k 2))) (- (+ (* +nan.0 (* (pow PI 2) k)) (- (* +nan.0 PI)))))) 1540341234.223 * [misc]backup-simplify: Simplify (/ (sqrt PI) (sqrt (/ 1 k))) into (sqrt (* PI k)) 1540341234.223 * [misc]approximate: Taking taylor expansion of (sqrt (* PI k)) in (k) around 0 1540341234.223 * [misc]taylor: Taking taylor expansion of (sqrt (* PI k)) in k 1540341234.223 * [misc]taylor: Taking taylor expansion of (* PI k) in k 1540341234.223 * [misc]taylor: Taking taylor expansion of PI in k 1540341234.223 * [misc]backup-simplify: Simplify PI into PI 1540341234.223 * [misc]taylor: Taking taylor expansion of k in k 1540341234.224 * [misc]backup-simplify: Simplify 0 into 0 1540341234.224 * [misc]backup-simplify: Simplify 1 into 1 1540341234.224 * [misc]backup-simplify: Simplify (* PI 0) into 0 1540341234.224 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1540341234.224 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540341234.224 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540341234.225 * [misc]taylor: Taking taylor expansion of (sqrt (* PI k)) in k 1540341234.225 * [misc]taylor: Taking taylor expansion of (* PI k) in k 1540341234.225 * [misc]taylor: Taking taylor expansion of PI in k 1540341234.225 * [misc]backup-simplify: Simplify PI into PI 1540341234.225 * [misc]taylor: Taking taylor expansion of k in k 1540341234.225 * [misc]backup-simplify: Simplify 0 into 0 1540341234.225 * [misc]backup-simplify: Simplify 1 into 1 1540341234.225 * [misc]backup-simplify: Simplify (* PI 0) into 0 1540341234.225 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1540341234.225 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540341234.226 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540341234.226 * [misc]backup-simplify: Simplify 0 into 0 1540341234.226 * [misc]backup-simplify: Simplify (* +nan.0 PI) into (* +nan.0 PI) 1540341234.226 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 1540341234.227 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1540341234.228 * [misc]backup-simplify: Simplify (* +nan.0 (pow PI 2)) into (* +nan.0 (pow PI 2)) 1540341234.228 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1540341234.230 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 PI) (* +nan.0 (pow PI 2)))))) (* 2 0)) into (* +nan.0 (pow PI 3)) 1540341234.230 * [misc]backup-simplify: Simplify (* +nan.0 (pow PI 3)) into (* +nan.0 (pow PI 3)) 1540341234.231 * [misc]backup-simplify: Simplify (+ (* (* +nan.0 (pow PI 3)) (pow (/ 1 k) 3)) (+ (* (* +nan.0 (pow PI 2)) (pow (/ 1 k) 2)) (* (* +nan.0 PI) (/ 1 k)))) into (- (+ (* +nan.0 (/ (pow PI 2) (pow k 2))) (- (+ (* +nan.0 (/ (pow PI 3) (pow k 3))) (- (* +nan.0 (/ PI k))))))) 1540341234.231 * [misc]backup-simplify: Simplify (/ (sqrt PI) (sqrt (/ 1 (- k)))) into (* (/ 1 (sqrt (/ -1 k))) (sqrt PI)) 1540341234.231 * [misc]approximate: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (sqrt PI)) in (k) around 0 1540341234.232 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (sqrt PI)) in k 1540341234.232 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 1540341234.232 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540341234.232 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540341234.232 * [misc]taylor: Taking taylor expansion of -1 in k 1540341234.232 * [misc]backup-simplify: Simplify -1 into -1 1540341234.232 * [misc]taylor: Taking taylor expansion of k in k 1540341234.232 * [misc]backup-simplify: Simplify 0 into 0 1540341234.232 * [misc]backup-simplify: Simplify 1 into 1 1540341234.232 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540341234.232 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540341234.232 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540341234.232 * [misc]backup-simplify: Simplify (/ 1 +nan.0) into +nan.0 1540341234.232 * [misc]taylor: Taking taylor expansion of (sqrt PI) in k 1540341234.232 * [misc]taylor: Taking taylor expansion of PI in k 1540341234.232 * [misc]backup-simplify: Simplify PI into PI 1540341234.232 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1540341234.233 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1540341234.233 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (sqrt PI)) in k 1540341234.233 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 1540341234.233 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540341234.233 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540341234.233 * [misc]taylor: Taking taylor expansion of -1 in k 1540341234.233 * [misc]backup-simplify: Simplify -1 into -1 1540341234.233 * [misc]taylor: Taking taylor expansion of k in k 1540341234.233 * [misc]backup-simplify: Simplify 0 into 0 1540341234.233 * [misc]backup-simplify: Simplify 1 into 1 1540341234.233 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540341234.233 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540341234.234 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540341234.234 * [misc]backup-simplify: Simplify (/ 1 +nan.0) into +nan.0 1540341234.234 * [misc]taylor: Taking taylor expansion of (sqrt PI) in k 1540341234.234 * [misc]taylor: Taking taylor expansion of PI in k 1540341234.234 * [misc]backup-simplify: Simplify PI into PI 1540341234.234 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1540341234.234 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1540341234.235 * [misc]backup-simplify: Simplify (* +nan.0 (sqrt PI)) into (* +nan.0 (sqrt PI)) 1540341234.235 * [misc]backup-simplify: Simplify (* +nan.0 (sqrt PI)) into (* +nan.0 (sqrt PI)) 1540341234.235 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1540341234.236 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540341234.237 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 1540341234.238 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* (- +nan.0) (sqrt PI))) into (- (* +nan.0 (sqrt PI))) 1540341234.239 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt PI))) into (- (* +nan.0 (sqrt PI))) 1540341234.240 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt PI))) into 0 1540341234.241 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341234.242 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540341234.243 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 1540341234.245 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (sqrt PI)))) into (- (* +nan.0 (sqrt PI))) 1540341234.246 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt PI))) into (- (* +nan.0 (sqrt PI))) 1540341234.248 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (sqrt PI))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (sqrt PI))) (/ 1 (- k))) (* +nan.0 (sqrt PI)))) into (- (+ (* +nan.0 (* (sqrt PI) (/ 1 (pow k 2)))) (- (+ (* +nan.0 (* (sqrt PI) (/ 1 k))) (- (* +nan.0 (sqrt PI))))))) 1540341234.248 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1) 1540341234.248 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1540341234.248 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1540341234.248 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540341234.248 * [misc]taylor: Taking taylor expansion of 2 in n 1540341234.248 * [misc]backup-simplify: Simplify 2 into 2 1540341234.248 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540341234.248 * [misc]taylor: Taking taylor expansion of n in n 1540341234.248 * [misc]backup-simplify: Simplify 0 into 0 1540341234.248 * [misc]backup-simplify: Simplify 1 into 1 1540341234.248 * [misc]taylor: Taking taylor expansion of PI in n 1540341234.248 * [misc]backup-simplify: Simplify PI into PI 1540341234.248 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540341234.249 * [misc]taylor: Taking taylor expansion of 2 in n 1540341234.249 * [misc]backup-simplify: Simplify 2 into 2 1540341234.249 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540341234.249 * [misc]taylor: Taking taylor expansion of n in n 1540341234.249 * [misc]backup-simplify: Simplify 0 into 0 1540341234.249 * [misc]backup-simplify: Simplify 1 into 1 1540341234.249 * [misc]taylor: Taking taylor expansion of PI in n 1540341234.249 * [misc]backup-simplify: Simplify PI into PI 1540341234.249 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540341234.249 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540341234.249 * [misc]backup-simplify: Simplify 0 into 0 1540341234.250 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540341234.251 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1540341234.251 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540341234.252 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1540341234.254 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1540341234.254 * [misc]backup-simplify: Simplify 0 into 0 1540341234.255 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1540341234.257 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1540341234.257 * [misc]backup-simplify: Simplify 0 into 0 1540341234.259 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1540341234.261 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1540341234.261 * [misc]backup-simplify: Simplify 0 into 0 1540341234.264 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1540341234.267 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1540341234.267 * [misc]backup-simplify: Simplify 0 into 0 1540341234.270 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1540341234.274 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1540341234.274 * [misc]backup-simplify: Simplify 0 into 0 1540341234.277 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1540341234.281 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1540341234.281 * [misc]backup-simplify: Simplify 0 into 0 1540341234.282 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1540341234.282 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1540341234.282 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1540341234.282 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540341234.282 * [misc]taylor: Taking taylor expansion of 2 in n 1540341234.282 * [misc]backup-simplify: Simplify 2 into 2 1540341234.282 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540341234.282 * [misc]taylor: Taking taylor expansion of PI in n 1540341234.282 * [misc]backup-simplify: Simplify PI into PI 1540341234.282 * [misc]taylor: Taking taylor expansion of n in n 1540341234.282 * [misc]backup-simplify: Simplify 0 into 0 1540341234.282 * [misc]backup-simplify: Simplify 1 into 1 1540341234.283 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540341234.283 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540341234.283 * [misc]taylor: Taking taylor expansion of 2 in n 1540341234.283 * [misc]backup-simplify: Simplify 2 into 2 1540341234.283 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540341234.283 * [misc]taylor: Taking taylor expansion of PI in n 1540341234.283 * [misc]backup-simplify: Simplify PI into PI 1540341234.283 * [misc]taylor: Taking taylor expansion of n in n 1540341234.283 * [misc]backup-simplify: Simplify 0 into 0 1540341234.283 * [misc]backup-simplify: Simplify 1 into 1 1540341234.283 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540341234.283 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540341234.284 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540341234.285 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540341234.285 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1540341234.285 * [misc]backup-simplify: Simplify 0 into 0 1540341234.286 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341234.288 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1540341234.288 * [misc]backup-simplify: Simplify 0 into 0 1540341234.289 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341234.291 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1540341234.291 * [misc]backup-simplify: Simplify 0 into 0 1540341234.295 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341234.297 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1540341234.297 * [misc]backup-simplify: Simplify 0 into 0 1540341234.299 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341234.302 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1540341234.302 * [misc]backup-simplify: Simplify 0 into 0 1540341234.304 * [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 1540341234.308 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1540341234.308 * [misc]backup-simplify: Simplify 0 into 0 1540341234.309 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1540341234.309 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1540341234.309 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1540341234.309 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540341234.309 * [misc]taylor: Taking taylor expansion of -2 in n 1540341234.309 * [misc]backup-simplify: Simplify -2 into -2 1540341234.309 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540341234.309 * [misc]taylor: Taking taylor expansion of PI in n 1540341234.309 * [misc]backup-simplify: Simplify PI into PI 1540341234.309 * [misc]taylor: Taking taylor expansion of n in n 1540341234.309 * [misc]backup-simplify: Simplify 0 into 0 1540341234.309 * [misc]backup-simplify: Simplify 1 into 1 1540341234.309 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540341234.309 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540341234.309 * [misc]taylor: Taking taylor expansion of -2 in n 1540341234.310 * [misc]backup-simplify: Simplify -2 into -2 1540341234.310 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540341234.310 * [misc]taylor: Taking taylor expansion of PI in n 1540341234.310 * [misc]backup-simplify: Simplify PI into PI 1540341234.310 * [misc]taylor: Taking taylor expansion of n in n 1540341234.310 * [misc]backup-simplify: Simplify 0 into 0 1540341234.310 * [misc]backup-simplify: Simplify 1 into 1 1540341234.310 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540341234.310 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540341234.310 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540341234.312 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540341234.312 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1540341234.312 * [misc]backup-simplify: Simplify 0 into 0 1540341234.314 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341234.315 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1540341234.315 * [misc]backup-simplify: Simplify 0 into 0 1540341234.316 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341234.318 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1540341234.318 * [misc]backup-simplify: Simplify 0 into 0 1540341234.320 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341234.322 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1540341234.323 * [misc]backup-simplify: Simplify 0 into 0 1540341234.325 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540341234.327 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1540341234.327 * [misc]backup-simplify: Simplify 0 into 0 1540341234.329 * [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 1540341234.332 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1540341234.333 * [misc]backup-simplify: Simplify 0 into 0 1540341234.333 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1540341234.333 * * * [misc]progress: simplifying candidates 1540341234.333 * * * * [misc]progress: [ 1 / 95 ] simplifiying candidate # 1540341234.333 * * * * [misc]progress: [ 2 / 95 ] simplifiying candidate # 1540341234.333 * * * * [misc]progress: [ 3 / 95 ] simplifiying candidate # 1540341234.333 * * * * [misc]progress: [ 4 / 95 ] simplifiying candidate # 1540341234.333 * * * * [misc]progress: [ 5 / 95 ] simplifiying candidate # 1540341234.333 * * * * [misc]progress: [ 6 / 95 ] simplifiying candidate # 1540341234.333 * * * * [misc]progress: [ 7 / 95 ] simplifiying candidate # 1540341234.334 * * * * [misc]progress: [ 8 / 95 ] simplifiying candidate # 1540341234.334 * * * * [misc]progress: [ 9 / 95 ] simplifiying candidate # 1540341234.334 * * * * [misc]progress: [ 10 / 95 ] simplifiying candidate # 1540341234.334 * * * * [misc]progress: [ 11 / 95 ] simplifiying candidate # 1540341234.334 * * * * [misc]progress: [ 12 / 95 ] simplifiying candidate # 1540341234.334 * * * * [misc]progress: [ 13 / 95 ] simplifiying candidate # 1540341234.334 * [enter]simplify: Simplifying (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt k))) 1540341234.334 * * [misc]simplify: iters left: 5 (10 enodes) 1540341234.337 * * [misc]simplify: iters left: 4 (14 enodes) 1540341234.341 * * [misc]simplify: iters left: 3 (18 enodes) 1540341234.345 * * [misc]simplify: iters left: 2 (20 enodes) 1540341234.349 * * [misc]simplify: iters left: 1 (22 enodes) 1540341234.355 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt k)) (sqrt (* 2 n))) 1540341234.355 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (pow (* (/ (sqrt PI) (sqrt k)) (sqrt (* 2 n))) 1) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341234.355 * * * * [misc]progress: [ 14 / 95 ] simplifiying candidate # 1540341234.355 * * * * [misc]progress: [ 15 / 95 ] simplifiying candidate # 1540341234.355 * [enter]simplify: Simplifying (+ (log (sqrt (* 2 n))) (- (log (sqrt PI)) (log (sqrt k)))) 1540341234.355 * * [misc]simplify: iters left: 6 (13 enodes) 1540341234.357 * * [misc]simplify: iters left: 5 (19 enodes) 1540341234.360 * * [misc]simplify: iters left: 4 (26 enodes) 1540341234.364 * * [misc]simplify: iters left: 3 (33 enodes) 1540341234.368 * * [misc]simplify: iters left: 2 (39 enodes) 1540341234.373 * * [misc]simplify: iters left: 1 (50 enodes) 1540341234.381 * [exit]simplify: Simplified to (- (log (sqrt (* 2 n))) (- (log (sqrt k)) (log (sqrt PI)))) 1540341234.381 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (exp (- (log (sqrt (* 2 n))) (- (log (sqrt k)) (log (sqrt PI))))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341234.381 * * * * [misc]progress: [ 16 / 95 ] simplifiying candidate # 1540341234.381 * [enter]simplify: Simplifying (+ (log (sqrt (* 2 n))) (log (/ (sqrt PI) (sqrt k)))) 1540341234.382 * * [misc]simplify: iters left: 6 (12 enodes) 1540341234.385 * * [misc]simplify: iters left: 5 (17 enodes) 1540341234.390 * * [misc]simplify: iters left: 4 (23 enodes) 1540341234.396 * * [misc]simplify: iters left: 3 (32 enodes) 1540341234.404 * * [misc]simplify: iters left: 2 (42 enodes) 1540341234.416 * * [misc]simplify: iters left: 1 (58 enodes) 1540341234.433 * [exit]simplify: Simplified to (+ (log (sqrt (* 2 n))) (log (/ (sqrt PI) (sqrt k)))) 1540341234.433 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (exp (+ (log (sqrt (* 2 n))) (log (/ (sqrt PI) (sqrt k))))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341234.433 * * * * [misc]progress: [ 17 / 95 ] simplifiying candidate # 1540341234.433 * * * * [misc]progress: [ 18 / 95 ] simplifiying candidate # 1540341234.433 * * * * [misc]progress: [ 19 / 95 ] simplifiying candidate # 1540341234.433 * [enter]simplify: Simplifying (* (* (* (sqrt (* 2 n)) (sqrt (* 2 n))) (sqrt (* 2 n))) (/ (* (* (sqrt PI) (sqrt PI)) (sqrt PI)) (* (* (sqrt k) (sqrt k)) (sqrt k)))) 1540341234.434 * * [misc]simplify: iters left: 6 (16 enodes) 1540341234.440 * * [misc]simplify: iters left: 5 (32 enodes) 1540341234.452 * * [misc]simplify: iters left: 4 (113 enodes) 1540341234.507 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) PI) (sqrt k)) (/ (sqrt (* 2 n)) (/ k (* 2 n)))) 1540341234.507 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (cbrt (* (/ (* (sqrt PI) PI) (sqrt k)) (/ (sqrt (* 2 n)) (/ k (* 2 n))))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341234.507 * * * * [misc]progress: [ 20 / 95 ] simplifiying candidate # 1540341234.507 * [enter]simplify: Simplifying (* (* (* (sqrt (* 2 n)) (sqrt (* 2 n))) (sqrt (* 2 n))) (* (* (/ (sqrt PI) (sqrt k)) (/ (sqrt PI) (sqrt k))) (/ (sqrt PI) (sqrt k)))) 1540341234.507 * * [misc]simplify: iters left: 6 (14 enodes) 1540341234.512 * * [misc]simplify: iters left: 5 (28 enodes) 1540341234.524 * * [misc]simplify: iters left: 4 (88 enodes) 1540341234.567 * * [misc]simplify: iters left: 3 (295 enodes) 1540341234.847 * [exit]simplify: Simplified to (* (/ (/ PI (sqrt k)) k) (* (* (sqrt PI) (* 2 n)) (sqrt (* 2 n)))) 1540341234.847 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (cbrt (* (/ (/ PI (sqrt k)) k) (* (* (sqrt PI) (* 2 n)) (sqrt (* 2 n))))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341234.847 * * * * [misc]progress: [ 21 / 95 ] simplifiying candidate # 1540341234.847 * * * * [misc]progress: [ 22 / 95 ] simplifiying candidate # 1540341234.847 * * * * [misc]progress: [ 23 / 95 ] simplifiying candidate # 1540341234.847 * [enter]simplify: Simplifying (* (* 2 n) (/ PI k)) 1540341234.848 * * [misc]simplify: iters left: 4 (7 enodes) 1540341234.850 * * [misc]simplify: iters left: 3 (13 enodes) 1540341234.854 * * [misc]simplify: iters left: 2 (28 enodes) 1540341234.863 * * [misc]simplify: iters left: 1 (42 enodes) 1540341234.874 * [exit]simplify: Simplified to (* (* 2 n) (/ PI k)) 1540341234.874 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (sqrt (* (* 2 n) (/ PI k))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341234.874 * * * * [misc]progress: [ 24 / 95 ] simplifiying candidate # 1540341234.875 * * * * [misc]progress: [ 25 / 95 ] simplifiying candidate # 1540341234.875 * * * * [misc]progress: [ 26 / 95 ] simplifiying candidate # 1540341234.875 * [enter]simplify: Simplifying (cbrt (/ (sqrt PI) (sqrt k))) 1540341234.875 * * [misc]simplify: iters left: 4 (6 enodes) 1540341234.876 * [exit]simplify: Simplified to (cbrt (/ (sqrt PI) (sqrt k))) 1540341234.876 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* (* (sqrt (* 2 n)) (* (cbrt (/ (sqrt PI) (sqrt k))) (cbrt (/ (sqrt PI) (sqrt k))))) (cbrt (/ (sqrt PI) (sqrt k)))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341234.876 * * * * [misc]progress: [ 27 / 95 ] simplifiying candidate # 1540341234.876 * [enter]simplify: Simplifying (sqrt (/ (sqrt PI) (sqrt k))) 1540341234.876 * * [misc]simplify: iters left: 4 (6 enodes) 1540341234.877 * [exit]simplify: Simplified to (sqrt (/ (sqrt PI) (sqrt k))) 1540341234.877 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* (* (sqrt (* 2 n)) (sqrt (/ (sqrt PI) (sqrt k)))) (sqrt (/ (sqrt PI) (sqrt k)))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341234.877 * * * * [misc]progress: [ 28 / 95 ] simplifiying candidate # 1540341234.877 * [enter]simplify: Simplifying (/ (cbrt (sqrt PI)) (cbrt (sqrt k))) 1540341234.877 * * [misc]simplify: iters left: 4 (7 enodes) 1540341234.878 * [exit]simplify: Simplified to (/ (cbrt (sqrt PI)) (cbrt (sqrt k))) 1540341234.878 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* (* (sqrt (* 2 n)) (/ (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt (sqrt PI)) (cbrt (sqrt k)))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341234.878 * * * * [misc]progress: [ 29 / 95 ] simplifiying candidate # 1540341234.878 * [enter]simplify: Simplifying (/ (cbrt (sqrt PI)) (sqrt (sqrt k))) 1540341234.878 * * [misc]simplify: iters left: 4 (7 enodes) 1540341234.879 * [exit]simplify: Simplified to (/ (cbrt (sqrt PI)) (sqrt (sqrt k))) 1540341234.879 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* (* (sqrt (* 2 n)) (/ (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (sqrt (sqrt k)))) (/ (cbrt (sqrt PI)) (sqrt (sqrt k)))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341234.879 * * * * [misc]progress: [ 30 / 95 ] simplifiying candidate # 1540341234.880 * [enter]simplify: Simplifying (/ (cbrt (sqrt PI)) (sqrt k)) 1540341234.880 * * [misc]simplify: iters left: 4 (6 enodes) 1540341234.880 * [exit]simplify: Simplified to (/ (cbrt (sqrt PI)) (sqrt k)) 1540341234.880 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* (* (sqrt (* 2 n)) (/ (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) 1)) (/ (cbrt (sqrt PI)) (sqrt k))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341234.881 * * * * [misc]progress: [ 31 / 95 ] simplifiying candidate # 1540341234.881 * [enter]simplify: Simplifying (/ (sqrt (sqrt PI)) (cbrt (sqrt k))) 1540341234.881 * * [misc]simplify: iters left: 4 (7 enodes) 1540341234.882 * [exit]simplify: Simplified to (/ (sqrt (sqrt PI)) (cbrt (sqrt k))) 1540341234.882 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* (* (sqrt (* 2 n)) (/ (sqrt (sqrt PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (sqrt PI)) (cbrt (sqrt k)))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341234.882 * * * * [misc]progress: [ 32 / 95 ] simplifiying candidate # 1540341234.882 * [enter]simplify: Simplifying (/ (sqrt (sqrt PI)) (sqrt (sqrt k))) 1540341234.882 * * [misc]simplify: iters left: 4 (7 enodes) 1540341234.883 * [exit]simplify: Simplified to (/ (sqrt (sqrt PI)) (sqrt (sqrt k))) 1540341234.883 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* (* (sqrt (* 2 n)) (/ (sqrt (sqrt PI)) (sqrt (sqrt k)))) (/ (sqrt (sqrt PI)) (sqrt (sqrt k)))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341234.883 * * * * [misc]progress: [ 33 / 95 ] simplifiying candidate # 1540341234.883 * [enter]simplify: Simplifying (/ (sqrt (sqrt PI)) (sqrt k)) 1540341234.883 * * [misc]simplify: iters left: 4 (6 enodes) 1540341234.884 * [exit]simplify: Simplified to (/ (sqrt (sqrt PI)) (sqrt k)) 1540341234.884 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* (* (sqrt (* 2 n)) (/ (sqrt (sqrt PI)) 1)) (/ (sqrt (sqrt PI)) (sqrt k))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341234.884 * * * * [misc]progress: [ 34 / 95 ] simplifiying candidate # 1540341234.884 * [enter]simplify: Simplifying (/ (sqrt PI) (cbrt (sqrt k))) 1540341234.884 * * [misc]simplify: iters left: 4 (6 enodes) 1540341234.885 * [exit]simplify: Simplified to (/ (sqrt PI) (cbrt (sqrt k))) 1540341234.885 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* (* (sqrt (* 2 n)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt PI) (cbrt (sqrt k)))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341234.885 * * * * [misc]progress: [ 35 / 95 ] simplifiying candidate # 1540341234.885 * [enter]simplify: Simplifying (/ (sqrt PI) (sqrt (sqrt k))) 1540341234.885 * * [misc]simplify: iters left: 4 (6 enodes) 1540341234.886 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1540341234.886 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* (* (sqrt (* 2 n)) (/ 1 (sqrt (sqrt k)))) (/ (sqrt PI) (sqrt (sqrt k)))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341234.886 * * * * [misc]progress: [ 36 / 95 ] simplifiying candidate # 1540341234.886 * [enter]simplify: Simplifying (/ (sqrt PI) (sqrt k)) 1540341234.886 * * [misc]simplify: iters left: 3 (5 enodes) 1540341234.887 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt k)) 1540341234.887 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* (* (sqrt (* 2 n)) (/ 1 1)) (/ (sqrt PI) (sqrt k))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341234.887 * * * * [misc]progress: [ 37 / 95 ] simplifiying candidate # 1540341234.887 * [enter]simplify: Simplifying (/ (sqrt PI) (sqrt k)) 1540341234.887 * * [misc]simplify: iters left: 3 (5 enodes) 1540341234.888 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt k)) 1540341234.888 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* (* (sqrt (* 2 n)) 1) (/ (sqrt PI) (sqrt k))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341234.888 * * * * [misc]progress: [ 38 / 95 ] simplifiying candidate # 1540341234.888 * [enter]simplify: Simplifying (/ 1 (sqrt k)) 1540341234.888 * * [misc]simplify: iters left: 3 (4 enodes) 1540341234.889 * * [misc]simplify: iters left: 2 (6 enodes) 1540341234.889 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1540341234.889 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* (* (sqrt (* 2 n)) (sqrt PI)) (/ 1 (sqrt k))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341234.889 * * * * [misc]progress: [ 39 / 95 ] simplifiying candidate # 1540341234.890 * [enter]simplify: Simplifying (* (cbrt (sqrt (* 2 n))) (cbrt (sqrt (* 2 n)))) 1540341234.890 * * [misc]simplify: iters left: 6 (6 enodes) 1540341234.890 * * [misc]simplify: iters left: 5 (7 enodes) 1540341234.891 * [exit]simplify: Simplified to (* (cbrt (sqrt (* 2 n))) (cbrt (sqrt (* 2 n)))) 1540341234.891 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (* (* (cbrt (sqrt (* 2 n))) (cbrt (sqrt (* 2 n)))) (* (cbrt (sqrt (* 2 n))) (/ (sqrt PI) (sqrt k)))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341234.891 * * * * [misc]progress: [ 40 / 95 ] simplifiying candidate # 1540341234.892 * [enter]simplify: Simplifying (sqrt 2) 1540341234.892 * * [misc]simplify: iters left: 1 (2 enodes) 1540341234.892 * [exit]simplify: Simplified to (sqrt 2) 1540341234.892 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (* (sqrt 2) (* (sqrt n) (/ (sqrt PI) (sqrt k)))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341234.892 * * * * [misc]progress: [ 41 / 95 ] simplifiying candidate # 1540341234.893 * [enter]simplify: Simplifying (sqrt (sqrt (* 2 n))) 1540341234.893 * * [misc]simplify: iters left: 4 (5 enodes) 1540341234.893 * * [misc]simplify: iters left: 3 (6 enodes) 1540341234.894 * [exit]simplify: Simplified to (sqrt (sqrt (* 2 n))) 1540341234.894 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (* (sqrt (sqrt (* 2 n))) (* (sqrt (sqrt (* 2 n))) (/ (sqrt PI) (sqrt k)))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341234.894 * * * * [misc]progress: [ 42 / 95 ] simplifiying candidate # 1540341234.894 * * * * [misc]progress: [ 43 / 95 ] simplifiying candidate # 1540341234.894 * [enter]simplify: Simplifying (sqrt k) 1540341234.894 * * [misc]simplify: iters left: 1 (2 enodes) 1540341234.895 * [exit]simplify: Simplified to (sqrt k) 1540341234.895 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (/ (* (sqrt (* 2 n)) (sqrt PI)) (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341234.895 * * * * [misc]progress: [ 44 / 95 ] simplifiying candidate # 1540341234.895 * * * * [misc]progress: [ 45 / 95 ] simplifiying candidate # 1540341234.895 * * * * [misc]progress: [ 46 / 95 ] simplifiying candidate # 1540341234.895 * * * * [misc]progress: [ 47 / 95 ] simplifiying candidate # 1540341234.895 * * * * [misc]progress: [ 48 / 95 ] simplifiying candidate # 1540341234.895 * [enter]simplify: Simplifying (- (log (sqrt PI)) (log (sqrt k))) 1540341234.895 * * [misc]simplify: iters left: 4 (7 enodes) 1540341234.896 * * [misc]simplify: iters left: 3 (9 enodes) 1540341234.897 * * [misc]simplify: iters left: 2 (10 enodes) 1540341234.898 * [exit]simplify: Simplified to (- (log (sqrt PI)) (log (sqrt k))) 1540341234.898 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (exp (- (log (sqrt PI)) (log (sqrt k))))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341234.898 * * * * [misc]progress: [ 49 / 95 ] simplifiying candidate # 1540341234.899 * * * * [misc]progress: [ 50 / 95 ] simplifiying candidate # 1540341234.899 * * * * [misc]progress: [ 51 / 95 ] simplifiying candidate # 1540341234.899 * [enter]simplify: Simplifying (/ (* (* (sqrt PI) (sqrt PI)) (sqrt PI)) (* (* (sqrt k) (sqrt k)) (sqrt k))) 1540341234.899 * * [misc]simplify: iters left: 6 (9 enodes) 1540341234.900 * * [misc]simplify: iters left: 5 (18 enodes) 1540341234.903 * * [misc]simplify: iters left: 4 (42 enodes) 1540341234.914 * * [misc]simplify: iters left: 3 (81 enodes) 1540341234.935 * * [misc]simplify: iters left: 2 (130 enodes) 1540341234.961 * * [misc]simplify: iters left: 1 (189 enodes) 1540341234.995 * [exit]simplify: Simplified to (/ (sqrt PI) (/ (sqrt k) (/ PI k))) 1540341234.995 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (cbrt (/ (sqrt PI) (/ (sqrt k) (/ PI k))))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341234.995 * * * * [misc]progress: [ 52 / 95 ] simplifiying candidate # 1540341234.996 * * * * [misc]progress: [ 53 / 95 ] simplifiying candidate # 1540341234.996 * * * * [misc]progress: [ 54 / 95 ] simplifiying candidate # 1540341234.996 * [enter]simplify: Simplifying (/ PI k) 1540341234.996 * * [misc]simplify: iters left: 2 (3 enodes) 1540341234.997 * [exit]simplify: Simplified to (/ PI k) 1540341234.997 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (sqrt (/ PI k))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341234.997 * * * * [misc]progress: [ 55 / 95 ] simplifiying candidate # 1540341234.997 * * * * [misc]progress: [ 56 / 95 ] simplifiying candidate # 1540341234.997 * * * * [misc]progress: [ 57 / 95 ] simplifiying candidate # 1540341234.997 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540341234.997 * * [misc]simplify: iters left: 6 (9 enodes) 1540341235.000 * * [misc]simplify: iters left: 5 (15 enodes) 1540341235.004 * * [misc]simplify: iters left: 4 (24 enodes) 1540341235.013 * * [misc]simplify: iters left: 3 (27 enodes) 1540341235.020 * * [misc]simplify: iters left: 2 (30 enodes) 1540341235.028 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt PI)) (cbrt (sqrt k))) (/ (cbrt (sqrt PI)) (cbrt (sqrt k)))) 1540341235.028 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (* (* (/ (cbrt (sqrt PI)) (cbrt (sqrt k))) (/ (cbrt (sqrt PI)) (cbrt (sqrt k)))) (/ (cbrt (sqrt PI)) (cbrt (sqrt k))))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341235.028 * [enter]simplify: Simplifying (/ (cbrt (sqrt PI)) (cbrt (sqrt k))) 1540341235.028 * * [misc]simplify: iters left: 4 (7 enodes) 1540341235.030 * [exit]simplify: Simplified to (/ (cbrt (sqrt PI)) (cbrt (sqrt k))) 1540341235.030 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (* (/ (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (sqrt PI)) (cbrt (sqrt k))))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341235.030 * * * * [misc]progress: [ 58 / 95 ] simplifiying candidate # 1540341235.031 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (sqrt (sqrt k))) 1540341235.031 * * [misc]simplify: iters left: 6 (8 enodes) 1540341235.033 * * [misc]simplify: iters left: 5 (10 enodes) 1540341235.036 * * [misc]simplify: iters left: 4 (12 enodes) 1540341235.040 * * [misc]simplify: iters left: 3 (13 enodes) 1540341235.043 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (sqrt (sqrt k))) 1540341235.043 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (* (/ (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (sqrt (sqrt k))) (/ (cbrt (sqrt PI)) (sqrt (sqrt k))))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341235.044 * [enter]simplify: Simplifying (/ (cbrt (sqrt PI)) (sqrt (sqrt k))) 1540341235.044 * * [misc]simplify: iters left: 4 (7 enodes) 1540341235.046 * [exit]simplify: Simplified to (/ (cbrt (sqrt PI)) (sqrt (sqrt k))) 1540341235.046 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (* (/ (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (sqrt (sqrt k))) (/ (cbrt (sqrt PI)) (sqrt (sqrt k))))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341235.046 * * * * [misc]progress: [ 59 / 95 ] simplifiying candidate # 1540341235.046 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) 1) 1540341235.046 * * [misc]simplify: iters left: 6 (6 enodes) 1540341235.049 * * [misc]simplify: iters left: 5 (10 enodes) 1540341235.052 * * [misc]simplify: iters left: 4 (16 enodes) 1540341235.056 * * [misc]simplify: iters left: 3 (18 enodes) 1540341235.060 * * [misc]simplify: iters left: 2 (23 enodes) 1540341235.065 * [exit]simplify: Simplified to (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) 1540341235.065 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (* (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (/ (cbrt (sqrt PI)) (sqrt k)))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341235.066 * [enter]simplify: Simplifying (/ (cbrt (sqrt PI)) (sqrt k)) 1540341235.066 * * [misc]simplify: iters left: 4 (6 enodes) 1540341235.067 * [exit]simplify: Simplified to (/ (cbrt (sqrt PI)) (sqrt k)) 1540341235.068 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (* (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (/ (cbrt (sqrt PI)) (sqrt k)))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341235.068 * * * * [misc]progress: [ 60 / 95 ] simplifiying candidate # 1540341235.068 * [enter]simplify: Simplifying (/ (sqrt (sqrt PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540341235.068 * * [misc]simplify: iters left: 6 (8 enodes) 1540341235.070 * * [misc]simplify: iters left: 5 (10 enodes) 1540341235.074 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt PI)) (cbrt (sqrt k))) (cbrt (sqrt k))) 1540341235.074 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (* (/ (/ (sqrt (sqrt PI)) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (sqrt (sqrt PI)) (cbrt (sqrt k))))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341235.074 * [enter]simplify: Simplifying (/ (sqrt (sqrt PI)) (cbrt (sqrt k))) 1540341235.074 * * [misc]simplify: iters left: 4 (7 enodes) 1540341235.076 * [exit]simplify: Simplified to (/ (sqrt (sqrt PI)) (cbrt (sqrt k))) 1540341235.076 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (* (/ (sqrt (sqrt PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (sqrt PI)) (cbrt (sqrt k))))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341235.076 * * * * [misc]progress: [ 61 / 95 ] simplifiying candidate # 1540341235.076 * [enter]simplify: Simplifying (/ (sqrt (sqrt PI)) (sqrt (sqrt k))) 1540341235.077 * * [misc]simplify: iters left: 4 (7 enodes) 1540341235.079 * [exit]simplify: Simplified to (/ (sqrt (sqrt PI)) (sqrt (sqrt k))) 1540341235.079 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (* (/ (sqrt (sqrt PI)) (sqrt (sqrt k))) (/ (sqrt (sqrt PI)) (sqrt (sqrt k))))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341235.079 * [enter]simplify: Simplifying (/ (sqrt (sqrt PI)) (sqrt (sqrt k))) 1540341235.079 * * [misc]simplify: iters left: 4 (7 enodes) 1540341235.081 * [exit]simplify: Simplified to (/ (sqrt (sqrt PI)) (sqrt (sqrt k))) 1540341235.081 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (* (/ (sqrt (sqrt PI)) (sqrt (sqrt k))) (/ (sqrt (sqrt PI)) (sqrt (sqrt k))))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341235.081 * * * * [misc]progress: [ 62 / 95 ] simplifiying candidate # 1540341235.081 * [enter]simplify: Simplifying (/ (sqrt (sqrt PI)) 1) 1540341235.082 * * [misc]simplify: iters left: 4 (5 enodes) 1540341235.083 * * [misc]simplify: iters left: 3 (7 enodes) 1540341235.086 * * [misc]simplify: iters left: 2 (9 enodes) 1540341235.087 * [exit]simplify: Simplified to (sqrt (sqrt PI)) 1540341235.088 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (* (sqrt (sqrt PI)) (/ (sqrt (sqrt PI)) (sqrt k)))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341235.088 * [enter]simplify: Simplifying (/ (sqrt (sqrt PI)) (sqrt k)) 1540341235.088 * * [misc]simplify: iters left: 4 (6 enodes) 1540341235.090 * [exit]simplify: Simplified to (/ (sqrt (sqrt PI)) (sqrt k)) 1540341235.090 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (* (sqrt (sqrt PI)) (/ (sqrt (sqrt PI)) (sqrt k)))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341235.090 * * * * [misc]progress: [ 63 / 95 ] simplifiying candidate # 1540341235.090 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540341235.090 * * [misc]simplify: iters left: 6 (6 enodes) 1540341235.092 * * [misc]simplify: iters left: 5 (10 enodes) 1540341235.095 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1540341235.095 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (sqrt PI) (cbrt (sqrt k))))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341235.095 * [enter]simplify: Simplifying (/ (sqrt PI) (cbrt (sqrt k))) 1540341235.095 * * [misc]simplify: iters left: 4 (6 enodes) 1540341235.097 * [exit]simplify: Simplified to (/ (sqrt PI) (cbrt (sqrt k))) 1540341235.097 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt PI) (cbrt (sqrt k))))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341235.097 * * * * [misc]progress: [ 64 / 95 ] simplifiying candidate # 1540341235.098 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1540341235.098 * * [misc]simplify: iters left: 4 (5 enodes) 1540341235.099 * * [misc]simplify: iters left: 3 (7 enodes) 1540341235.101 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1540341235.101 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt PI) (sqrt (sqrt k))))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341235.102 * [enter]simplify: Simplifying (/ (sqrt PI) (sqrt (sqrt k))) 1540341235.102 * * [misc]simplify: iters left: 4 (6 enodes) 1540341235.103 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1540341235.104 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt PI) (sqrt (sqrt k))))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341235.104 * * * * [misc]progress: [ 65 / 95 ] simplifiying candidate # 1540341235.104 * [enter]simplify: Simplifying (/ 1 1) 1540341235.104 * * [misc]simplify: iters left: 2 (2 enodes) 1540341235.105 * * [misc]simplify: iters left: 1 (4 enodes) 1540341235.105 * [exit]simplify: Simplified to 1 1540341235.105 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (* 1 (/ (sqrt PI) (sqrt k)))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341235.106 * [enter]simplify: Simplifying (/ (sqrt PI) (sqrt k)) 1540341235.106 * * [misc]simplify: iters left: 3 (5 enodes) 1540341235.107 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt k)) 1540341235.107 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (* 1 (/ (sqrt PI) (sqrt k)))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341235.107 * * * * [misc]progress: [ 66 / 95 ] simplifiying candidate # 1540341235.107 * * * * [misc]progress: [ 67 / 95 ] simplifiying candidate # 1540341235.107 * * * * [misc]progress: [ 68 / 95 ] simplifiying candidate # 1540341235.107 * * * * [misc]progress: [ 69 / 95 ] simplifiying candidate # 1540341235.108 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1540341235.108 * * [misc]simplify: iters left: 2 (3 enodes) 1540341235.109 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1540341235.109 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341235.109 * * * * [misc]progress: [ 70 / 95 ] simplifiying candidate # 1540341235.109 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1540341235.109 * * [misc]simplify: iters left: 2 (3 enodes) 1540341235.110 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1540341235.110 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (sqrt k)))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341235.110 * * * * [misc]progress: [ 71 / 95 ] simplifiying candidate # 1540341235.110 * [enter]simplify: Simplifying (sqrt k) 1540341235.110 * * [misc]simplify: iters left: 1 (2 enodes) 1540341235.111 * [exit]simplify: Simplified to (sqrt k) 1540341235.111 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (/ (sqrt PI) 1) (sqrt k))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341235.111 * * * * [misc]progress: [ 72 / 95 ] simplifiying candidate # 1540341235.111 * [enter]simplify: Simplifying (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) 1540341235.111 * * [misc]simplify: iters left: 4 (4 enodes) 1540341235.113 * [exit]simplify: Simplified to (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) 1540341235.113 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (/ (sqrt k) (cbrt (sqrt PI))))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341235.113 * * * * [misc]progress: [ 73 / 95 ] simplifiying candidate # 1540341235.113 * [enter]simplify: Simplifying (sqrt (sqrt PI)) 1540341235.113 * * [misc]simplify: iters left: 2 (3 enodes) 1540341235.114 * [exit]simplify: Simplified to (sqrt (sqrt PI)) 1540341235.114 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt (sqrt PI)) (/ (sqrt k) (sqrt (sqrt PI))))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341235.114 * * * * [misc]progress: [ 74 / 95 ] simplifiying candidate # 1540341235.114 * * * * [misc]progress: [ 75 / 95 ] simplifiying candidate # 1540341235.114 * * * * [misc]progress: [ 76 / 95 ] simplifiying candidate # 1540341235.114 * * * * [misc]progress: [ 77 / 95 ] simplifiying candidate # 1540341235.114 * * * * [misc]progress: [ 78 / 95 ] simplifiying candidate # 1540341235.114 * * * * [misc]progress: [ 79 / 95 ] simplifiying candidate # 1540341235.114 * * * * [misc]progress: [ 80 / 95 ] simplifiying candidate # 1540341235.114 * * * * [misc]progress: [ 81 / 95 ] simplifiying candidate # 1540341235.114 * * * * [misc]progress: [ 82 / 95 ] simplifiying candidate # 1540341235.114 * * * * [misc]progress: [ 83 / 95 ] simplifiying candidate # 1540341235.114 * * * * [misc]progress: [ 84 / 95 ] simplifiying candidate # 1540341235.115 * * * * [misc]progress: [ 85 / 95 ] simplifiying candidate # 1540341235.115 * * * * [misc]progress: [ 86 / 95 ] simplifiying candidate # 1540341235.115 * [enter]simplify: Simplifying (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt k))) (pow (* PI (* n 2)) (- (/ k 2)))) 1540341235.115 * * [misc]simplify: iters left: 6 (16 enodes) 1540341235.118 * * [misc]simplify: iters left: 5 (27 enodes) 1540341235.122 * * [misc]simplify: iters left: 4 (49 enodes) 1540341235.129 * * [misc]simplify: iters left: 3 (66 enodes) 1540341235.138 * * [misc]simplify: iters left: 2 (77 enodes) 1540341235.149 * * [misc]simplify: iters left: 1 (100 enodes) 1540341235.174 * [exit]simplify: Simplified to (* (pow (* n (* PI 2)) (- (/ k 2))) (/ (sqrt (* 2 n)) (/ (sqrt k) (sqrt PI)))) 1540341235.174 * [misc]simplify: Simplified (2) to (λ (k n) (* (pow (* n (* PI 2)) (- (/ k 2))) (/ (sqrt (* 2 n)) (/ (sqrt k) (sqrt PI))))) 1540341235.174 * * * * [misc]progress: [ 87 / 95 ] simplifiying candidate # 1540341235.175 * [enter]simplify: Simplifying (* +nan.0 (/ (* (sqrt 2) (* n PI)) k)) 1540341235.175 * [misc]simplify: Simplified (2 1) to (λ (k n) (* +nan.0 (pow (* PI (* n 2)) (- (/ k 2))))) 1540341235.175 * * * * [misc]progress: [ 88 / 95 ] simplifiying candidate # 1540341235.175 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (* (pow n 2) (pow k 3)))) (- (+ (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (* n (pow k 2)))) (- (* +nan.0 (/ (* (sqrt 2) PI) k))))))) 1540341235.175 * [misc]simplify: Simplified (2 1) to (λ (k n) (* +nan.0 (pow (* PI (* n 2)) (- (/ k 2))))) 1540341235.175 * * * * [misc]progress: [ 89 / 95 ] simplifiying candidate # 1540341235.175 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt PI) (/ 1 k))) (- (+ (* +nan.0 (* (/ 1 n) (sqrt PI))) (- (* +nan.0 (sqrt PI))))))) 1540341235.175 * [misc]simplify: Simplified (2 1) to (λ (k n) (* +nan.0 (pow (* PI (* n 2)) (- (/ k 2))))) 1540341235.175 * * * * [misc]progress: [ 90 / 95 ] simplifiying candidate # 1540341235.176 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (pow PI 3) (pow k 2))) (- (+ (* +nan.0 (* (pow PI 2) k)) (- (* +nan.0 PI)))))) 1540341235.176 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* (sqrt (* 2 n)) +nan.0) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341235.176 * * * * [misc]progress: [ 91 / 95 ] simplifiying candidate # 1540341235.176 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (pow PI 2) (pow k 2))) (- (+ (* +nan.0 (/ (pow PI 3) (pow k 3))) (- (* +nan.0 (/ PI k))))))) 1540341235.176 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* (sqrt (* 2 n)) +nan.0) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341235.176 * * * * [misc]progress: [ 92 / 95 ] simplifiying candidate # 1540341235.176 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt PI) (/ 1 (pow k 2)))) (- (+ (* +nan.0 (* (sqrt PI) (/ 1 k))) (- (* +nan.0 (sqrt PI))))))) 1540341235.176 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* (sqrt (* 2 n)) +nan.0) (pow (* PI (* n 2)) (- (/ k 2))))) 1540341235.176 * * * * [misc]progress: [ 93 / 95 ] simplifiying candidate # 1540341235.176 * [enter]simplify: Simplifying (* 2 (* n PI)) 1540341235.177 * * [misc]simplify: iters left: 4 (5 enodes) 1540341235.178 * * [misc]simplify: iters left: 3 (9 enodes) 1540341235.180 * * [misc]simplify: iters left: 2 (15 enodes) 1540341235.184 * * [misc]simplify: iters left: 1 (17 enodes) 1540341235.188 * [exit]simplify: Simplified to (* (* PI n) 2) 1540341235.188 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt k))) (pow (* (* PI n) 2) (- (/ k 2))))) 1540341235.188 * * * * [misc]progress: [ 94 / 95 ] simplifiying candidate # 1540341235.188 * [enter]simplify: Simplifying (* 2 (* n PI)) 1540341235.188 * * [misc]simplify: iters left: 4 (5 enodes) 1540341235.190 * * [misc]simplify: iters left: 3 (9 enodes) 1540341235.192 * * [misc]simplify: iters left: 2 (15 enodes) 1540341235.196 * * [misc]simplify: iters left: 1 (17 enodes) 1540341235.199 * [exit]simplify: Simplified to (* (* PI n) 2) 1540341235.199 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt k))) (pow (* (* PI n) 2) (- (/ k 2))))) 1540341235.199 * * * * [misc]progress: [ 95 / 95 ] simplifiying candidate # 1540341235.200 * [enter]simplify: Simplifying (* 2 (* n PI)) 1540341235.200 * * [misc]simplify: iters left: 4 (5 enodes) 1540341235.201 * * [misc]simplify: iters left: 3 (9 enodes) 1540341235.203 * * [misc]simplify: iters left: 2 (15 enodes) 1540341235.207 * * [misc]simplify: iters left: 1 (17 enodes) 1540341235.210 * [exit]simplify: Simplified to (* (* PI n) 2) 1540341235.210 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt k))) (pow (* (* PI n) 2) (- (/ k 2))))) 1540341235.210 * * * [misc]progress: adding candidates to table 1540341236.472 * [misc]progress: [Phase 3 of 3] Extracting. 1540341236.473 * * [misc]regime: Finding splitpoints for: (# # # # # # #) 1540341236.478 * * * [misc]regime-changes: Trying 2 branch expressions: (n k) 1540341236.478 * * * * [misc]regimes: Trying to branch on n from (# # # # # # #) 1540341236.533 * * * * [misc]regimes: Trying to branch on k from (# # # # # # #) 1540341236.587 * * * [misc]regime: Found split indices: #